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May 25, 2017 compiled on — Thursday May 25, 2017 at 02:09 AM [public]

1 Tuesday, May 23, 2017

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Top new questions this week:
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[PerformanceGoal option ignored in V11.1] https://mathematica.stackexchange.com/questions/146214/performancegoal-option-ignored-in-v11-1

Bug introduced in 11.1

[CASE:3892079] was created

[...] I have reproduced this problem with PerformanceGoal in version 11.1 and reported the issue to our developers [...]

Take this code:

...

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[Can I build my own curated data function?] https://mathematica.stackexchange.com/questions/146220/can-i-build-my-own-curated-data-function

I love the huge curated datasets, but they don’t cover everything. I have my own huge dataset which is too much to distribute as an EntityStore so is there a way to build my own analog of, say, ...

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[Support for low-complexity (compressible) lists] https://mathematica.stackexchange.com/questions/146244/support-for-low-complexity-compressible-lists

By ”low-complexity list” I mean a list like the following:

lcl = {17, 17, 17, 17, 17,
21, 21, 21, 21, 21, 21, 21, 21,
11, 11, 11, 11, 11, 11, 11}

It contains 20 elements, but only 3 ...

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[Automating documentation generation] https://mathematica.stackexchange.com/questions/146670/automating-documentation-generation

Outside of kernel symbols Mathematica provides access to lots of usage info, e.g. DownValues, Options, Messages, etc.

Most languages, if given this sort of info, would be able to provide an automatic ...

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[Trace of -1 expression] https://mathematica.stackexchange.com/questions/146506/trace-of-1-expression

I’m trying to understand Trace. Usually it doesn’t repeat but it adds -1,-1 for his simple expression after having a correct result.

-{1}//Trace

{-1, {-1}, {-1, -1}, {-1}}

Why -{1}//Trace is  ...

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[How to import a Tensorflow model?] https://mathematica.stackexchange.com/questions/146216/how-to-import-a-tensorflow-model

I’ve trained a network in Tensorflow and have the checkpoint files, I’d like to if anyone has written a parser or importer to pull the evaluation graph and/or weights into Mathematica?

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[intersection between two 2D arrays with labeled data is slow] https://mathematica.stackexchange.com/questions/146558/intersection-between-two-2d-arrays-with-labeled-data-is-slow

Here is how to Generate data

the function is below with two images to generate data

img1

img2

Module[{seg, areas, indexMaxarea, maxArea},
seg =  ...

================================== Greatest hits from previous weeks: ==================================

[Exporting graphics to PDF - huge file] https://mathematica.stackexchange.com/questions/1542/exporting-graphics-to-pdf-huge-file

I want to draw some basic surfaces, export them to PDF and include them in a LaTeX file. I create a simple 3D graphics object, for instance with

ParametricPlot3D[{r Cos[θ], r Sin[θ], r^2}, {r, 0,  ...

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[Generating a Sierpinski carpet] https://mathematica.stackexchange.com/questions/22052/generating-a-sierpinski-carpet

I am trying to draw a Sierpinski_carpet. I have code that works, but I think there is a more elegant way to do than my way. Maybe I couls use Tuples or Permutations or some similar function to ...

================================== Can you answer these? ==================================

[Exporting graphics with VertexColors problem] https://mathematica.stackexchange.com/questions/146306/exporting-graphics-with-vertexcolors-problem

I’ve generated a graphics which exhibit gradient color in rectangle and export it as:

SetDirectory[NotebookDirectory[]];
Export["./test.pdf", Graphics[{Polygon[{{-4, 5/3}, {-4, 0}, {4, 0}, {4,  ...

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[How to imitate the opacity plot in EditColorFunction] https://mathematica.stackexchange.com/questions/146623/how-to-imitate-the-opacity-plot-in-editcolorfunction

I wish to imitate the opacity plot as shown below:

Here is ...

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[Possible bug in Export with CharacterEncoding -¿ ”PrintableASCII”] https://mathematica.stackexchange.com/questions/146294/possible-bug-in-export-with-characterencoding-printableascii

In the Documentation we read (emphasis is mine):

By default, the Wolfram System uses the character encoding ”PrintableASCII” when saving notebooks and packages. This means that when special ...

2 Tuesday, May 16, 2017

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Top new questions this week:
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[Mathematica stuck in ”running” for every calculation I attempt, kernel error] https://mathematica.stackexchange.com/questions/146005/mathematica-stuck-in-running-for-every-calculation-i-attempt-kernel-error

Bug caused by paclet update and fixed by paclet update.

I downloaded Mathematica this morning to do an implicit polar plot. I attempt to run the code

Manipulate[
ContourPlot[
Evaluate@With[{r =  ...

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[How to split data into clusters based on fitting to function] https://mathematica.stackexchange.com/questions/146079/how-to-split-data-into-clusters-based-on-fitting-to-function

I have data which looks somewhat like this:

On the picture, you can see that the data can be described by 2 linear functions - if you manage to split it into 2 groups, each can easily be fitted ...

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[Inserting cones at intersection points two curves] https://mathematica.stackexchange.com/questions/145874/inserting-cones-at-intersection-points-two-curves

I am plotting the null geodesics for a Schwarzschild surface in Schwarzschild coordinates and would light to insert small future light-cones at the points of intersection to emphasize the tipping over ...

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[How to define a function inside a Compile?] https://mathematica.stackexchange.com/questions/145931/how-to-define-a-function-inside-a-compile

I want to compile a variety of commands, including a function. I need to map this function, inside the compilation, and I can’t include the function without facing errors such as ...

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[How to automatically do a computation, Quit[], restart and do a new computation] https://mathematica.stackexchange.com/questions/145852/how-to-automatically-do-a-computation-quit-restart-and-do-a-new-computation

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[1D transient heat equation problem with controller] https://mathematica.stackexchange.com/questions/145799/1d-transient-heat-equation-problem-with-controller

I would appreciate some help with following issue:

I am trying to solve a 1D transient heat equation problem with a control loop in order to compensate a time variable boundary condition at one ...

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[Clarify when to use Style vs Directive vs List] https://mathematica.stackexchange.com/questions/145856/clarify-when-to-use-style-vs-directive-vs-list

I am confused about when to use a simple list of style options, the Directive function or the Style function.

As shown below, for simple situations at least, they seem entirely equivalent which ...

================================== Greatest hits from previous weeks: ==================================

[How to manipulate 2D plots?] https://mathematica.stackexchange.com/questions/7142/how-to-manipulate-2d-plots

When it comes to visual analysis, large datasets or data with intricate internal details often makes plotting in 2D useless, as the outcome is either just a fraction of the full dataset, or no details ...

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[Where can I find examples of good Mathematica programming practice?] https://mathematica.stackexchange.com/questions/18/where-can-i-find-examples-of-good-mathematica-programming-practice

I consider myself a pretty good Mathematica programmer, but I’m always looking out for ways to either improve my way of doing things in Mathematica, or to see if there’s something nifty that I haven’t ...

================================== Can you answer these? ==================================

[Unexpected behavior of a variable] https://mathematica.stackexchange.com/questions/145661/unexpected-behavior-of-a-variable

I am confused with a strange phenomenon that I observe and do not understand.

Look, here is a simple code making a random walk:

Clear[list];
list = Accumulate[RandomInteger[{-1, 1}, {10, 2}]]

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Suppose I’m quite happy with my current Mathematica installation and wish to keep the system in its current form just reliably working.

Since there were already at least two cases[1,2] when a lot of ...

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[Import/export manipulate state in file] https://mathematica.stackexchange.com/questions/146017/import-export-manipulate-state-in-file

Is it possible to export the state of Manipulate with big number of parameters in file and then restore the parameters of Manipulate from this file?

3 Tuesday, May 2, 2017

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Top new questions this week:
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[Count works differently depending on how an association was created] https://mathematica.stackexchange.com/questions/144813/count-works-differently-depending-on-how-an-association-was-created

Bug introduced in 10.4 and persisting through 11.1.1

I create two associations, that are supposed to be exactly the same. And then I want to count the elements at the second level. And I get ...

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[Why is Plus so much slower than Total?] https://mathematica.stackexchange.com/questions/145019/why-is-plus-so-much-slower-than-total

Why is Plus so much slower than total for summing lists?

list = RandomReal[1, 10000000];
AbsoluteTiming[Plus @@ list]
AbsoluteTiming[Total[list]]

Output:

{1.67408, 5.00073*10^6}
{0.00570379,  ...

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[Delete duplicates from list of lists as if on a necklace] https://mathematica.stackexchange.com/questions/144696/delete-duplicates-from-list-of-lists-as-if-on-a-necklace

Given a list of lists of integers, all of the same length, I want to regard two elements as equivalent if one is the rotated and/or reflected version of another (that is, if the two lists are the same ...

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[Exchanging numpy arrays between Python and Mathematica?] https://mathematica.stackexchange.com/questions/144770/exchanging-numpy-arrays-between-python-and-mathematica

Ive been using np.savetxt(location, result, delimiter=,)
in Python followed by Import[location,"CSV"] in Mathematica.
Some of my files are around 1GB, opening seems a bit slow, what else do people  ...

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[How to plot planar graphs in a visually pleasing way?] https://mathematica.stackexchange.com/questions/144594/how-to-plot-planar-graphs-in-a-visually-pleasing-way

Cross posted to Wolfram Community

Mathematica has a layout algorithm to plot planar graphs without edge crossings. This typically produces an ugly triangular layout where some vertices and edges ...

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[Where are my Cloud Credits going?] https://mathematica.stackexchange.com/questions/144859/where-are-my-cloud-credits-going

In less than a month Ive used 5k cloud credits (half of my quota)
and all I did was deploying a bunch of static notebooks with
CloudDeploy[CurrentNotebook[],permissions-&gt;Public] (more  ...

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[Mathematica erroneously says this integral does not converge] https://mathematica.stackexchange.com/questions/144965/mathematica-erroneously-says-this-integral-does-not-converge

Mathematica (as of v. 11.1.0) does not recognize that this special case of Frullani’s integral converges:

Integrate[(ArcTan[a*x] - ArcTan[b*x])/x, {x, 0, Infinity}]
(* Integrate::idiv: Integral of  ...

================================== Greatest hits from previous weeks: ==================================

[Generating a Sierpinski carpet] https://mathematica.stackexchange.com/questions/22052/generating-a-sierpinski-carpet

I am trying to draw a Sierpinski_carpet. I have code that works, but I think there is a more elegant way to do than my way. Maybe I couls use Tuples or Permutations or some similar function to ...

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[Alternatives to procedural loops and iterating over lists in Mathematica] https://mathematica.stackexchange.com/questions/7924/alternatives-to-procedural-loops-and-iterating-over-lists-in-mathematica

While there are some cases where a For loop might be reasonable, it’s a general mantra – one I subscribe to myself – that ”if you are using a For loop in Mathematica, you are probably doing it wrong”. ...

================================== Can you answer these? ==================================

[How to get parent key in Query on Association/Dataset?] https://mathematica.stackexchange.com/questions/144995/how-to-get-parent-key-in-query-on-association-dataset

Is there a general and terse method to obtain the parent key of the current ”position” in a Query of an Association/Dataset?

Say I have the following Association.

assoc =
&lt;|"A" -&gt;
...

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[Can anyone help me decipher these few lines? Also, converting this code for a 2x2 matrix input to a 3x3 matrix input?] https://mathematica.stackexchange.com/questions/145049/can-anyone-help-me-decipher-these-few-lines-also-converting-this-code-for-a-2x

Here’s the code. I’m completely new to Mathematica so bear with me.

clear[ug];
ug[{{a11_, a12_}, {a21_, a22_}}] :=
Module[{A, f, b1, b2, y1, y2, U, P1, P2, UG},
A = {{a11, a12}, {a21, a22}};
...

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[Bifurcation package like AUTO?] https://mathematica.stackexchange.com/questions/144795/bifurcation-package-like-auto

I was wondering if there is any available continuation and bifurcation analysis package for Mathematica. I’m looking for something like AUTO. I’ve seen there is already a Matlab version of the ...

4 Tuesday, April 25, 2017

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Top new questions this week:
==================================

[Fast spherical polygon] https://mathematica.stackexchange.com/questions/144167/fast-spherical-polygon

Cross posted on Wolfram Community

Question

Given a list of points on a sphere and the sphere’s radius, I’d like to plot a spherical polygon with those points as vertices.

And this needs to be fast, ...

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[How to uncompress strings safely (without any evaluation)?] https://mathematica.stackexchange.com/questions/144171/how-to-uncompress-strings-safely-without-any-evaluation

Compressed strings are often used to exchange Mathematica expressions on the Internet. It is, however, not easy to see what such expression will do after decompression. Resulting code can perform ...

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[Sharing data via the cloud] https://mathematica.stackexchange.com/questions/144130/sharing-data-via-the-cloud

I’ve got some stuff that I want to be able distribute to my totally real friends, but I don’t want to have to email them every time I change something.

How can I set up sharing via the cloud?

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[C++ interface to large project] https://mathematica.stackexchange.com/questions/144047/c-interface-to-large-project

We are developing a quite large mathematical software in C++ and would like to have a Mathematica interface. We have our own C++ library and our idea would be, to write a Mathematica wrapper class and ...

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[Why doesn’t FullSimplify return -x working on Abs[x] and x¡0?] https://mathematica.stackexchange.com/questions/144310/why-doesnt-fullsimplify-return-x-working-on-absx-and-x0

I am using Mathematica 11.1, and I stumbled upon this strange response using the Abs function.

FullSimplify[Abs[x],x&lt;0]
(* Abs[x] *)

while, for example

FullSimplify[Abs[x],x&gt;0]
(* x *)

as ...

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[ParallelMap vs Map performance comparsion] https://mathematica.stackexchange.com/questions/144056/parallelmap-vs-map-performance-comparsion

The ParallelMap claims doing map faster than the normal Map, and I checked the demo does as the document describing

but, I try my testing, it seems not exactly while ParallelMap excuting with 8 ...

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[How to plot a matrix with 3D style] https://mathematica.stackexchange.com/questions/144443/how-to-plot-a-matrix-with-3d-style

I have a list like

SeedRandom[1]
MatrixForm[list = RandomInteger[5, {5, 5}]]

We can plot it with MatrixPlot directly with 2D style

MatrixPlot[list]

I hope to plot it with 3D style.This is ...

================================== Greatest hits from previous weeks: ==================================

[Where can I find examples of good Mathematica programming practice?] https://mathematica.stackexchange.com/questions/18/where-can-i-find-examples-of-good-mathematica-programming-practice

I consider myself a pretty good Mathematica programmer, but I’m always looking out for ways to either improve my way of doing things in Mathematica, or to see if there’s something nifty that I haven’t ...

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[How can I plot the direction field for a differential equation?] https://mathematica.stackexchange.com/questions/8841/how-can-i-plot-the-direction-field-for-a-differential-equation

I’d like to plot the graph of the direction field for a differential equation, to get a feel for it. I’m a novice, right now, when it comes to plotting in Mathematica, so I’m hoping that someone can ...

================================== Can you answer these? ==================================

[Quality of RegionIntersection[]: How to control?] https://mathematica.stackexchange.com/questions/144270/quality-of-regionintersection-how-to-control

This code produces a crude intersection.

a = {-1/2, -1/2, -1/2};
b = {1/2, 1/2, 1/2};
R = RegionIntersection[Ball[a, 1], Ball[b, 1]];
Region[R]

How can I control the quality so that the ...

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When thinking on this recent question the immediately obvious
solution which came to my mind was to use ReadList with options
RecordLists -&gt; True and NullRecords -&gt; True for reading objects of  ...

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[Why does the domain of an interpolating function not match the corresponding ParametricNDSolve solution range?] https://mathematica.stackexchange.com/questions/144355/why-does-the-domain-of-an-interpolating-function-not-match-the-corresponding-par

Question

I had believed - and mostly observed - that when I use ParametricNDSolve the obtained ParametricFunctions given as the solution to some ODE or DAE will be translated into ...

5 Tuesday, April 18, 2017

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Top new questions this week:
==================================

Deep convolutional neural networks are very good at computer vision related tasks. Optical Character Recognition (OCR) is one important branch of computer vision. In fact, the convolution neural ...

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[Changes to Series[...] in version 11.1] https://mathematica.stackexchange.com/questions/143414/changes-to-series-in-version-11-1

I have updated to Mathematica 11.1 and I am shocked to see that the Series-function now works differently:

If I enter

Series[x^2+x^3, {x,0,0}]

it will return

x^2+O[x]^3

which is just weird. In ...

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[WLNet format incompatible between version 11.0 and 11.1] https://mathematica.stackexchange.com/questions/143699/wlnet-format-incompatible-between-version-11-0-and-11-1

It seems that there are some behavior changes of neural network layers from version 11.0 to 11.1 that leads to the incompatibility of WLNet format.

Consider this example:

Network exported in 11.0

...

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[DSolve solution depends on ordering of equation] https://mathematica.stackexchange.com/questions/143726/dsolve-solution-depends-on-ordering-of-equation

Bug introduced in 8.0 or earlier and persisting through 11.1.0 or later

I am trying to obtain the general solution, to the very easy system of PDEs:

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[Why the Callout option makes plotting performance poor] https://mathematica.stackexchange.com/questions/143711/why-the-callout-option-makes-plotting-performance-poor

Bug introduced in 11.0 and fixed in 11.1

The Callout option is a new option for plotting, but the performance is very poor, see bellow testing case.

num = 1000;
list = N@Sin@Range[num];
list2 =  ...

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[Neural machine translation model using deep learning] https://mathematica.stackexchange.com/questions/143609/neural-machine-translation-model-using-deep-learning

In Mathematica version 11.1, SequenceAttentionLayer is introduced to model attentions in the recurrent neural network. It has been shown that attention mechanism can greatly improve the quality of a ...

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[Backslide in NSolve in V11.1?] https://mathematica.stackexchange.com/questions/143824/backslide-in-nsolve-in-v11-1

In V11.1,

NSolve[BesselJ[0, x] == 0 &amp;&amp; 0 &lt; x &lt; 20, x]

returns no solutions:

But in V11.0 (and earlier), it returns all solutions:

Is there anyway to get NSolve to solve this ...

================================== Greatest hits from previous weeks: ==================================

[How to perform a multi-peak fitting?] https://mathematica.stackexchange.com/questions/26336/how-to-perform-a-multi-peak-fitting

I am wondering how to implement the multi-peak detecting and fitting in Mathematica. Following is an example of fitting the data using three peaks (such that the data   peak1 + peak2 + peak3).

The ...

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[How to make an inkblot?] https://mathematica.stackexchange.com/questions/3345/how-to-make-an-inkblot

How to effectively create a polygon that looks like a realistic inkblot? So far, I could come up with this (borrowing from Ed Pegg Jr.’s Rorschach demonstration):

RandomBlot[num_, opts___] :=  ...

================================== Can you answer these? ==================================

[How to create an APIFunction that takes a list with constraints on the list elements?] https://mathematica.stackexchange.com/questions/143709/how-to-create-an-apifunction-that-takes-a-list-with-constraints-on-the-list-elem

This APIFunction takes a list as an argument:

func = APIFunction[{"x" -&gt; DelimitedSequence["Integer", ","]}, #x^3 &amp;]

func["x" -&gt; Range[4]]

What I’d like to be able to do is place a ...

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I’m trying to setup FrameTicks for TradingChart, but it dosn’t work.

(*take data*)
data = FinancialData["NASDAQ:AAPL", "OHLCV", {{2017, 1, 1}, {2017, 4, 16}}];

(*def. of ticks*)
maxh =  ...

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[What are the software requirements to train neural networks on GPU?] https://mathematica.stackexchange.com/questions/143795/what-are-the-software-requirements-to-train-neural-networks-on-gpu

It seems that GPU training in Mathematica has some additional requirements on the software. For example, when I run this example on a Linux system, I get the following errors

trainingData =
...

6 Tuesday, April 11, 2017

==================================
Top new questions this week:
==================================

[L-System in Mathematica] http://mathematica.stackexchange.com/questions/143214/l-system-in-mathematica

Here is some Maple code for drawing an L-System:

with(Fractals:-LSystem)
cons := ["A" = "draw:1", "+" = "turn:-90", "B" = "turn:90"]
state, rules := "A", ["A" = "AB+BA+B", "B" = "B+AAB"]
...

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[What’s purpose of the new function BinarySerialize?] http://mathematica.stackexchange.com/questions/141885/whats-purpose-of-the-new-function-binaryserialize

11.1 introduced a new function BinarySerialize, but I don’t know what it can do better than the traditional method.Its behavior is very similar to Compress,though I cannot find any advantage of it.It ...

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[Why does SetPrecision not apply to 0?] http://mathematica.stackexchange.com/questions/143296/why-does-setprecision-not-apply-to-0

Is there a rationale why SetPrecision works on integers except for 0?

SetPrecision[1,5]

1.0000

SetPrecision[0,5]

0

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[How to use Mathematica to train a network Using out of core classification?] http://mathematica.stackexchange.com/questions/142135/how-to-use-mathematica-to-train-a-network-using-out-of-core-classification

I see there is doc about how to train a network Using out of core image classification and this question.But the object is only image.

I want to use a binary file as data,for example,this.

data = ...

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[Combining pure functions] http://mathematica.stackexchange.com/questions/142072/combining-pure-functions

Is there an easy way to combine pure functions into a single pure function? For example, say I have

f = #1^2 &amp;;
g = #1 - 2 &amp;;

and I want to define a new pure function h that is the ...

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[Question about changes in Documentation Center from version 10 to 11] http://mathematica.stackexchange.com/questions/143335/question-about-changes-in-documentation-center-from-version-10-to-11

The package Exploring Abstract Algebra with Mathematica works fine in Mathematica 10.4.

My platform is win10 64b, Mathematica 11 and Visual Studio 2015. When I apply CreateExecutable, it always returns $Failed. The configuration is right. Please what is the problem? Thank you. ... - asked by tu312 (1 vote) 13 Tuesday, February 21, 2017 ================================== Top new questions this week: ================================== [How can I adaptively simplify a curved shape?] http://mathematica.stackexchange.com/questions/137937/how-can-i-adaptively-simplify-a-curved-shape For the purposes of creating a publication-quality plot marker I wish to convert a font glyph into a simplified Polygon where points are taken adaptively according to curvature of the boundary. ... - asked by Alexey Popkov (22 votes), answered by Szabolcs (29 votes) —————————- [Can Mathematica be used to make anamorphic distortions like these?] http://mathematica.stackexchange.com/questions/137853/can-mathematica-be-used-to-make-anamorphic-distortions-like-these We have all see these sidewalk and street images that appear to be 3D based on the viewers perspective, but then wildly distort when viewed from a different perspective. Seems to me anamorphic ... - asked by R Hall (12 votes), answered by Simon Woods (10 votes) —————————- [How to implement lane-change rules for Nagel Schreckenberg model] http://mathematica.stackexchange.com/questions/138138/how-to-implement-lane-change-rules-for-nagel-schreckenberg-model I am trying to extend the Nagel-Schreckenberg model for traffic flow to include two lanes of traffic. I have a function that generates information about a random initial road configuration. A road ... - asked by jlrawden (11 votes), answered by Ali Hashmi (5 votes) —————————- [How to make a custom NN layer in Mathematica?] http://mathematica.stackexchange.com/questions/138230/how-to-make-a-custom-nn-layer-in-mathematica Is there a way to create our own custom layers for Neural Networks in Mathematica ? I suspect it should be possible, any pointers or directions on how to go about it? I am interested in ... - asked by Andy Stow Away (9 votes) —————————- [How to build private function with built-in function’s option] http://mathematica.stackexchange.com/questions/138126/how-to-build-private-function-with-built-in-functions-option Since this code work well: Needs["GeneralUtilities"] GeneralUtilitiesBenchmarkPlot[{SortBy[#, Identity] &amp;, Sort}, Range, "IncludeFits" -&gt; True, TimeConstraint -&gt; 8] I want to set ... - asked by yode (9 votes), answered by Mr.Wizard (11 votes) —————————- [Doing combinations of sub-sublists] http://mathematica.stackexchange.com/questions/138178/doing-combinations-of-sub-sublists To create a list of all the possible combinations of a sublist. I have a list, somewhat resembling the following format: {{{a1, a2}, {b1}}, {{a1, a2}, {c1, c2}}, {{a1, a2}, {c1, c2}, {d1, d2}}} ... - asked by Andrew Johnson (8 votes), answered by halirutan (11 votes) —————————- [Warning: FrontEnd crash with ‘Graphics@InfiniteLine‘ for unknown symbolic coordinates] http://mathematica.stackexchange.com/questions/137847/warning-frontend-crash-with-graphicsinfiniteline-for-unknown-symbolic-coordi Bug introduced in 10.0 and persisting through 11.0.1 InfiniteLine is new in 10.0. [CASE:3840702] From your description, I gather you are noticing an unexpected crash while trying to evaluate ... - asked by masterxilo (8 votes) ================================== Greatest hits from previous weeks: ================================== [How to add a vertical line to a plot] http://mathematica.stackexchange.com/questions/3561/how-to-add-a-vertical-line-to-a-plot In the plot below I would like to add two vertical lines at . How can I do that? f[x_] := (x^2 z)/((x^2 - y^2)^2 + 4 q^2 x^2) /. {y -&gt; π/15, z -&gt; 1, q -&gt; ... - asked by sjdh (33 votes), answered by Ajasja (49 votes) —————————- [Can Mathematica do symbolic linear algebra?] http://mathematica.stackexchange.com/questions/3242/can-mathematica-do-symbolic-linear-algebra For instance, is there some way I can say ”let A and B be arbitrary real and matrices, Simplify[Transpose[Transpose[A].Transpose[B]]]" and Mathematica would simplify it to B.A? ... - asked by nikie (42 votes), answered by helen (21 votes) ================================== Can you answer these? ================================== [Calculate PDF of difference of Max and Min for Gaussian random variables] http://mathematica.stackexchange.com/questions/138027/calculate-pdf-of-difference-of-max-and-min-for-gaussian-random-variables Although this should be a standard question I didn’t find it in SE, and it was a nice exercise in Mathematica. Let and be two independent Gaussian random variables with distribution . ... - asked by Dr. Wolfgang Hintze (3 votes) —————————- [Implementing t-SNE (t-Distributed Stochastic Neighbor Embedding)] http://mathematica.stackexchange.com/questions/137955/implementing-t-sne-t-distributed-stochastic-neighbor-embedding Context Six months ago @M.R. asked about an implementation of the t-Distributed Stochastic Neighbor Embedding (t-SNE) algorithm by van der Maaten and Hinton (2008). (@M.R.s question) @Alexey ... - asked by SumNeuron (3 votes) —————————- [Is there an easy way to to collect a large number variables into a list or list of lists?] http://mathematica.stackexchange.com/questions/138225/is-there-an-easy-way-to-to-collect-a-large-number-variables-into-a-list-or-list I have a large number of variables in a notebook from a data analysis routine, the results of which now need to be fed through a mathematical model and various items for visualization. For example, ... - asked by Joe Kissling (2 votes) 14 Tuesday, February 14, 2017 ================================== Top new questions this week: ================================== [How to generate a mesh with quadrilateral elements?] http://mathematica.stackexchange.com/questions/137479/how-to-generate-a-mesh-with-quadrilateral-elements I have the following code that generates a finite element mesh: Needs["NDSolveFEM"] order = 2; mesh = ToElementMesh[ DiscretizeGraphics[ GraphicsComplex[{{0, 4}, {5, 4}, {5, 0}, {8, 0}, {8, ... - asked by Diogo (13 votes), answered by Young (12 votes) —————————- [Why can’t I plot Log[Gamma[x]] for x ¿ 170?] http://mathematica.stackexchange.com/questions/137666/why-cant-i-plot-loggammax-for-x-170 Bug introduced in 11.0 For some reason I can’t plot Log[Gamma[x]] for values of x larger than approximately 170: Plot[Log[Gamma[x]], {x, 130, 200}, PlotRange -&gt; All] It works perfectly well ... - asked by Felix (11 votes), answered by Szabolcs (12 votes) —————————- [Finding the number of odd quintinomial coefficients] http://mathematica.stackexchange.com/questions/137692/finding-the-number-of-odd-quintinomial-coefficients I am searching for the number of odd coefficients of for arbitrary . It took some hours to compute the result for . There are odd ... - asked by Jenny_mathy (10 votes), answered by Carl Woll (15 votes) —————————- [Possible bug with RegionPlot] http://mathematica.stackexchange.com/questions/137273/possible-bug-with-regionplot RegionPlot[ImplicitRegion[(2 x - 1)/(x - 1) &lt; 3/2, {x, y}], PlotRange -&gt; {{-9, 9}, {-9, 9}}] Just checking whether anyone else can replicate this. Can anybody confirm such behavior and, ... - asked by mathe (10 votes), answered by Jason B. (8 votes) —————————- Suppose I have a list that looks like the following (Town names and total distance to that town) resupply = { {"Coleman", 0}, {"Highwood House", 106}, {"Canmore", 229}, {"Exshaw", 245}, ... - asked by Tom De Vries (9 votes), answered by Kuba (19 votes) —————————- [How to superimpose plots and graphics in the same coordinate system?] http://mathematica.stackexchange.com/questions/137408/how-to-superimpose-plots-and-graphics-in-the-same-coordinate-system NB: I am aware that ”plots” are graphics too, so the title would be more precisely worded if ”graphics” were replaced by ”non-plot graphics”. EDIT: I have edited my original example to make the ... - asked by kjo (8 votes), answered by Bob Hanlon (5 votes) —————————- [Unit tests for Graphics or FE boxes] http://mathematica.stackexchange.com/questions/137541/unit-tests-for-graphics-or-fe-boxes Consider the following expression with bad syntax: Graphics[foo] How can I detect the error and retrieve the error message programmatically, so I can check for it in unit tests? - asked by Szabolcs (7 votes), answered by rcollyer (9 votes) ================================== Greatest hits from previous weeks: ================================== [Labeling individual curves in Mathematica] http://mathematica.stackexchange.com/questions/4444/labeling-individual-curves-in-mathematica I need to create a plot for export and inclusion in a report. Is there a better way to label curves than PlotLegends? From what I’ve read and my personal experience, PlotLegends is pretty bad. Is ... - asked by Tianxiang Xiong (47 votes), answered by Artes (38 votes) —————————- [Why this real integral yields imaginary results?] http://mathematica.stackexchange.com/questions/127301/why-this-real-integral-yields-imaginary-results Integrate[(y - y^2 + x - x^2 + 2*x*y)/(1 - x - y),{x,0,1},{y, 0, 1}] The above integral yields -1-4Iπ/3 in Mathematica. Since the integrand is real (although divergent at some points), how does ... - asked by Chong Wang (16 votes), answered by bbgodfrey (19 votes) ================================== Can you answer these? ================================== [How to convert ‘LogTicks[0, 2][[1, 2]]‘ to a regular number] http://mathematica.stackexchange.com/questions/137208/how-to-convert-logticks0-21-2-to-a-regular-number I want to convert the tick labels generated by LogTicks of the CustomTicks package to regular numbers. The first tick label is in element [[1,2]] of the object generated by LogTicks. FullForm ... - asked by Felix (1 vote) —————————- [Solving the Euler-Lagrange equation with NDSolve‘ProcessEquations] http://mathematica.stackexchange.com/questions/137292/solving-the-euler-lagrange-equation-with-ndsolveprocessequations I would like to compute the shortest distance between a number on pairs of points on a 2-dimensional Riemanniann statistical manifold (Negative Binomial distributions manifold, equipped with the Rao’s ... - asked by C. Manté (1 vote) —————————- [Constraining the independent variable in a control system] http://mathematica.stackexchange.com/questions/137581/constraining-the-independent-variable-in-a-control-system For an analog closed loop feedback control, I can do the following to model the response of a second-order physical system with an order 1 zeros polynomial to a step disturbance. I have a proportional ... - asked by David Ollodart (2 votes) 15 Tuesday, February 7, 2017 ================================== Top new questions this week: ================================== [Code that generates a mandala] http://mathematica.stackexchange.com/questions/136974/code-that-generates-a-mandala My little brother asked me to print original mandalas for coloring. I would like some idea on how to create them, but without color, so he can color them. examples - asked by zeros (31 votes), answered by Anton Antonov (48 votes) —————————- [How to make Mathematica variables declarative instead of just-in-time?] http://mathematica.stackexchange.com/questions/136833/how-to-make-mathematica-variables-declarative-instead-of-just-in-time Is there a way to have Mathematica at the notebook level (SetOptions[EvaluationNotebook[], CellContext -&gt; Notebook]) only uses a set of declared variables in the notebook context. Any variables ... - asked by Edmund (27 votes), answered by rcollyer (25 votes) —————————- [Shorthand for map at level 2] http://mathematica.stackexchange.com/questions/136751/shorthand-for-map-at-level-2 I love the shorthand /@. It is amazing for readability (and laziness when typing). However, right now I find that I need Map at level 2, i.e. Map[f, List[List[a,b],List[c,d]], {2}], a lot and Id wish ... - asked by Kvothe (16 votes), answered by Mr.Wizard (19 votes) —————————- [Proteins, ProteinData, WolframAlpha] http://mathematica.stackexchange.com/questions/136741/proteins-proteindata-wolframalpha Apologies in advance, this is the first I’ve messed with ProteinData and access through WolframAlpha, so clearly I may not know how Mathematica and Alpha decide on what is the ’right way’ to ask ... - asked by flip (15 votes), answered by J. M. (10 votes) —————————- [Simplifying a reverse Fold for a Query] http://mathematica.stackexchange.com/questions/136856/simplifying-a-reverse-fold-for-a-query Is there a simpler way to parametrize this tail-recursive expression to be applied as a Query (for processing a nested Association)? The pattern is shown by example with first 3 levels: - asked by alancalvitti (11 votes), answered by Edmund (10 votes) —————————- [Where is Abbott? How to make logograms from the film ”Arrival”?] http://mathematica.stackexchange.com/questions/137156/where-is-abbott-how-to-make-logograms-from-the-film-arrival The film Arrival showed Wolfram Language code in action analysing alien logograms. A recent blog describes some details and mentions a live-coding video by Christopher Wolfam. See also Stephen ... - asked by KennyColnago (8 votes), answered by KennyColnago (10 votes) —————————- [How to implement neural style transfer?] http://mathematica.stackexchange.com/questions/136704/how-to-implement-neural-style-transfer In the paper A Neural Algorithm of Artistic Style, Leon A. Gatys et all. describe a process of extracting the content and style vectors from an image separately. They use this technique to generate ... - asked by M.R. (8 votes) ================================== Greatest hits from previous weeks: ================================== [How to add a vertical line to a plot] http://mathematica.stackexchange.com/questions/3561/how-to-add-a-vertical-line-to-a-plot In the plot below I would like to add two vertical lines at . How can I do that? f[x_] := (x^2 z)/((x^2 - y^2)^2 + 4 q^2 x^2) /. {y -&gt; π/15, z -&gt; 1, q -&gt; ... - asked by sjdh (32 votes), answered by Ajasja (48 votes) —————————- [Calculate the 2D Fourier transform of an Image] http://mathematica.stackexchange.com/questions/29203/calculate-the-2d-fourier-transform-of-an-image I am new to Mathematica, and using version 8.0. I would like to calculate the 2D Fourier Transform of an Image with Mathematica and plot the magnitude and phase spectrum, as well as reconstruct the ... - asked by user8727 (5 votes), answered by Nasser (27 votes) ================================== Can you answer these? ================================== [Nonsparse sparse array crashes kernel on windows] http://mathematica.stackexchange.com/questions/136835/nonsparse-sparse-array-crashes-kernel-on-windows On win 10, 64 bit, version 11.0.1, my kernel just started crashing for no reason as for as I can see. Does/should the following crash your kernel? sparse = SparseArray[ArrayRules[RandomInteger[{1, ... - asked by Coolwater (6 votes) —————————- [How to visualize the vorticity of a 3D velocity field?] http://mathematica.stackexchange.com/questions/136917/how-to-visualize-the-vorticity-of-a-3d-velocity-field I have a snapshot of a system with 50 particles. The snapshot is a list of 3 coordinates and 3 velocities per each particle. Namely, , which AKA phase space ... - asked by 0x90 (5 votes) —————————- [Finding line segments on the image by using ImageLines] http://mathematica.stackexchange.com/questions/136795/finding-line-segments-on-the-image-by-using-imagelines There is an image from wolfram documentation I want to find and highlight lines on the following image I tried: img = Import["http://imgur.com/NbNwYWC.png"] lines = ImageLines[EdgeDetect[img], ... - asked by vito (3 votes) 16 Tuesday, January 31, 2017 ================================== Top new questions this week: ================================== [How to get a specified number of points that are nearly equally spaced in a closed rectangle] http://mathematica.stackexchange.com/questions/136447/how-to-get-a-specified-number-of-points-that-are-nearly-equally-spaced-in-a-clos TriangulateMesh is almost the right tool for this problem. For example, numb = 113; region = BoundaryMeshRegion[{{0, 0}, {3, 0}, {3, 1}, {0, 1}}, Line[{1, 2, 3, 4, 1}]]; mesh = ... - asked by Ted Ersek (17 votes), answered by Szabolcs (15 votes) —————————- [Tutorial on creating publication quality documents in Mathematica?] http://mathematica.stackexchange.com/questions/136426/tutorial-on-creating-publication-quality-documents-in-mathematica Are there books or tutorials that walk one through creating a professional publication quality notebook? For example, I would like to create a two column article using an IEEE format. Is this ... - asked by Doug Kimzey (13 votes) —————————- [Type conversions] http://mathematica.stackexchange.com/questions/136476/type-conversions I have the following list, each element of which is of type string: ”abc”, ”def”,”2”,”ghi”,”7” Is there an efficient way to arrive at: ”abcdef”, 2,”ghi”,7 where adjacent alphabetic elements ... - asked by Suite401 (12 votes), answered by Bob Hanlon (8 votes) —————————- [Alternatives and the Flat attribute] http://mathematica.stackexchange.com/questions/136157/alternatives-and-the-flat-attribute When a head has the attribute Flat then the pattern matcher is able to pick out a sublist of its arguments, even though the structure doesn’t match: SetAttributes[f, Flat]; f[a, b, c, d] /. f[a, b] ... - asked by Martin Ender (11 votes) —————————- [Assign names to Dataset columns] http://mathematica.stackexchange.com/questions/136422/assign-names-to-dataset-columns I am constructing a dataset like so: data = Dataset[AssociationThread[Keys[characterCounts], charFrequencies]] which gives me a dataset that looks like this: This is all fine, but as you can ... - asked by damjandd (10 votes), answered by Kuba (10 votes) —————————- [Dataset interferes with SeedRandom] http://mathematica.stackexchange.com/questions/136339/dataset-interferes-with-seedrandom This seems like a pretty awful bug: SeedRandom[1]; RandomInteger[10, 10] Out: {1,4,0,7,0,0,8,6,0,4} While: SeedRandom[1]; Dataset[&lt;|a -&gt; 1, b -&gt; 2|&gt;]; RandomInteger[10, 10] Out: ... - asked by Mohammed AlQuraishi (10 votes) —————————- [Problem with integrating DiracDelta] http://mathematica.stackexchange.com/questions/136214/problem-with-integrating-diracdelta I thought I had found a bug in Mathematica and reported it already in version 9, since it wasn’t fixed in version 10 or 11 I reported it two more times but I never get any reply whatsoever so I’m ... - asked by user3777022 (10 votes), answered by Julien Kluge (8 votes) ================================== Greatest hits from previous weeks: ================================== [Assign the results from a Solve to variable(s)] http://mathematica.stackexchange.com/questions/6669/assign-the-results-from-a-solve-to-variables I understand Mathematica can’t assign the results of a Solve to the unknowns because there may be more than 1 solution. How can I assign the 4 values of following result to variables? - asked by stevenvh (30 votes), answered by Artes (22 votes) —————————- [How to create a fascinating QR code like this?] http://mathematica.stackexchange.com/questions/120041/how-to-create-a-fascinating-qr-code-like-this Check the facinating QRCode in my profile page here You can find that this QRCode is some sort of intriguing as the QRCode is a IMAGE ITSELF!!! So my question is, how to create such a QRCode ... - asked by Wjx (24 votes), answered by Wjx (19 votes) ================================== Can you answer these? ================================== [How to Approximate at Non-differentiable Point (forced Series Expansion around Branch Cut)] http://mathematica.stackexchange.com/questions/136395/how-to-approximate-at-non-differentiable-point-forced-series-expansion-around-b I need a numerical approximation around some functions at from the left side, where is unfortunately the right end of the domain (in the reals) so the functions are not ... - asked by Lee David Chung Lin (3 votes) —————————- [3D reconstruction of a 2D SEM image] http://mathematica.stackexchange.com/questions/136284/3d-reconstruction-of-a-2d-sem-image I am curious if Mathematica could do reconstruction of a 2D SEM image into a 3D. It is the same what can be done by MountainsMap SEM software http://www.digitalsurf.fr/en/mntsem.html Visually it ... - asked by Viacheslav Plotnikov (4 votes) —————————- [Help needed in Understand the following program in solving a stiff nonlinear differential equation] http://mathematica.stackexchange.com/questions/136607/help-needed-in-understand-the-following-program-in-solving-a-stiff-nonlinear-dif I am trying to solve a particular Cauchy problem given by I found from a particular paper that the solutions looks like For the auxiliary conditions For only specific values of I ... - asked by kernel_panic (1 vote) 17 Tuesday, January 24, 2017 ================================== Top new questions this week: ================================== [My Girlfriend is going to prison...Save her with Math] http://mathematica.stackexchange.com/questions/135937/my-girlfriend-is-going-to-prison-save-her-with-math Salacious title, but true story. dmethyl1 = { {0, 0}, {.25, 1}, {.5, 7}, {1, 26}, {1.5, 40}, {2, 45}, {2.5, 45}, {3, 44}, {3.5, 44}, {4, ... - asked by Prisoners Dilema (35 votes), answered by bobthechemist (22 votes) —————————- [How to use the iterator in Mathematica] http://mathematica.stackexchange.com/questions/135916/how-to-use-the-iterator-in-mathematica I find the Mathematica has the iterator data structure. We can build some iterators like this: Constant iterator GeneralUtilitiesConstantIterator[5] Key value iterator ... - asked by yode (15 votes), answered by Michael E2 (15 votes) —————————- [SquaresR memory leak?] http://mathematica.stackexchange.com/questions/135781/squaresr-memory-leak I have tried the following code in Mathematica 11.0.1.0 on my MacBook:$HistoryLength = 0;
ClearAll["Global*"];
ClearSystemCache[];
MemoryInUse[]

AbsoluteTiming[Do[SquaresR[2, i], {i, 1000000}];]

...

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[SetOptions locally?] http://mathematica.stackexchange.com/questions/136005/setoptions-locally

Is there a way to SetOptions locally? For example, I have a Module and inside it I am doing a lot of Plots with similar options. If I do a SetOptions[Plot, ...] inside the Module, the change ...

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[Understanding simple numerical calculation] http://mathematica.stackexchange.com/questions/135636/understanding-simple-numerical-calculation

I am trying to understand why N[0.1]//FullForm returns 0.1’ (A). Indeed, in base two is . If I truncate this number to the first 52 digits and convert it back to base ...

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[How to work with Date calculations?] http://mathematica.stackexchange.com/questions/135713/how-to-work-with-date-calculations

I have never worked using the DateObject function

But I suspect there must be a (easy) way of doing it.

I want to find out, when in the future, from which point, that the cumulative days of not ...

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[How to riffle matrices] http://mathematica.stackexchange.com/questions/135848/how-to-riffle-matrices

I have four matrices

m = {{M11, M12, M13}, {M21, M22, M23}, {M31, M32, M33}};
n = {{N11, N12, N13}, {N21, N22, N23}, {N31, N32, N33}};
p = {{P11, P12, P13}, {P21, P22, P23}, {P31, P32, P33}};
q =  ...

================================== Greatest hits from previous weeks: ==================================

[Is there an open source implementation of Mathematica-the-language?] http://mathematica.stackexchange.com/questions/4454/is-there-an-open-source-implementation-of-mathematica-the-language

I’ve seen questions before such as ”What is the best open-source equivalent for Mathematica?”, but that specific question (and that line of inquiry in general) cares more about the computer algebra ...

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[Is it possible to export the equations from Mathematica to MATLAB?] http://mathematica.stackexchange.com/questions/14035/is-it-possible-to-export-the-equations-from-mathematica-to-matlab

Is it possible to export the output expressions from Mathematica computations (e.g., equations) in valid MATLAB syntax?

================================== Can you answer these? ==================================

[Gap in X-axis when using LogLinearPlot] http://mathematica.stackexchange.com/questions/136025/gap-in-x-axis-when-using-loglinearplot

Basically, this is the plot that comes out when I choose

Frame -&gt; True

Due to my need of labeling the axes. Is there a way to get rid off of that annoying gap?

Here is the figure

Here is the  ...

- asked by Alan Turing (1 vote)

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[When solving a heavy PDE Mathematica falls out: what can be done] http://mathematica.stackexchange.com/questions/135819/when-solving-a-heavy-pde-mathematica-falls-out-what-can-be-done

I am solving a heavy PDE. The mesh is huge, and Mma falls out after few tens of minutes solving: the cell becomes inactive, kernel (pressumably) quits, all variables turn blue.

My question is, what ...

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[Exporting Cellular Automata Image Sequence] http://mathematica.stackexchange.com/questions/136068/exporting-cellular-automata-image-sequence

I am trying to make an animation in Adobe After Effects utilizing cellular automata. I would like to export each step (say 500 steps) as a high resolution vector image so that I can combine them as an ...

- asked by Ryan Conover (1 vote)

18 Tuesday, January 17, 2017

==================================
Top new questions this week:
==================================

[How to rotate the curve but not the axes?] http://mathematica.stackexchange.com/questions/135376/how-to-rotate-the-curve-but-not-the-axes

I have a such graphic:

data = {{0, 5}, {1.9, 7.5}, {0, 12}, {-5, 15.5}, {-1.2, 33.4}};
p=Plot[Interpolation[Reverse /@ data, x, InterpolationOrder -&gt; 2], {x,
0, 55}, Epilog -&gt; {Red,  ...

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[Function to draw densely interconnected layers in graph (e.g., neural net)] http://mathematica.stackexchange.com/questions/135354/function-to-draw-densely-interconnected-layers-in-graph-e-g-neural-net

I can use Graph[] to manually draw the shape of a very simple set of interconnected layers (for instance, a small neural network):

Graph[{1 -&gt; 3, 2 -&gt; 3, 1 -&gt; 5, 2 -&gt; 5, 1 -&gt; 4, 2  ...

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[An Intersection function on lists that saves intersection positions] http://mathematica.stackexchange.com/questions/135583/an-intersection-function-on-lists-that-saves-intersection-positions

I would like an intersection function on lists like Intersection that also stores the coordinates of the intersections. For instance for a,b,c and b,c,e would give something like ...

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[Combining lists of lists with random structure] http://mathematica.stackexchange.com/questions/135238/combining-lists-of-lists-with-random-structure

I have two lists which I would like to combine. One is of a random structure, which might be:

l1={{3, 2, 4, 2}, {2, 3}, {4, 3}, {{2, 2}}, {{3, 3}}, {3, 2}}

where the elements in each sublist may ...

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[Slicing an Association with named key span without normalizing?] http://mathematica.stackexchange.com/questions/135092/slicing-an-association-with-named-key-span-without-normalizing

Is there way to slice an Association with named key span?

Span currently doesn’t accept named keys:

&lt;|"z" -&gt; 1, "x" -&gt; 2, "b" -&gt; 3, "a" -&gt; 4|&gt;  // Query["x" ;; "a"]

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[Finding Ramanujan’s taxicab numbers] http://mathematica.stackexchange.com/questions/135128/finding-ramanujans-taxicab-numbers

How to find Hardy-Ramanujan Numbers by using Mathematica?

Definition: Taxicab number is defined as the smallest number that can be expressed as a sum of two positive cubes in distinct ways. ...

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[Area of surface of revolution] http://mathematica.stackexchange.com/questions/135358/area-of-surface-of-revolution

I am asked to rotate the curve from to about the x-axis and find the area of the surface. I was able to use RevolutionPlot3D to show the surface.

RevolutionPlot3D[Sqrt[4 ...

================================== Greatest hits from previous weeks: ==================================

[Entering numbers in Scientific Notation?] http://mathematica.stackexchange.com/questions/36792/entering-numbers-in-scientific-notation

I need to play with a lot of powers such as 10^-3. 1E-3
does not work for it. Is there any short form for it?

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[xkcd-style graphs] http://mathematica.stackexchange.com/questions/11350/xkcd-style-graphs

I received an email to which I wanted to respond with a xkcd-style graph, but I couldn’t manage it. Everything I drew looked perfect, and I don’t have enough command over PlotLegends to have these ...

================================== Can you answer these? ==================================

[Amelioration of a Karush-Kuhn-Tucker nice code] http://mathematica.stackexchange.com/questions/135220/amelioration-of-a-karush-kuhn-tucker-nice-code

In what concerns the resolution of a Karush-Kuhn-Tucker condition, this wonderful code borrowed to Parreiras (The Mathematica Journal 16 2014) which is a correction of another code by Kampas (The ...

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So I’ve been trying to automate the download and build of various large packages for hooking Mathematica into extensions but the downloads continually finish prematurely.

Edit: first example was just ...

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[Simplify an integer expression involving Ceiling and Root[] of third degree polynomial] http://mathematica.stackexchange.com/questions/135566/simplify-an-integer-expression-involving-ceiling-and-root-of-third-degree-poly

I would like to simplify the following expression

Ceiling[ToRadicals[Root[90 - 6 num + 65 #1 + 12 #1^2 + #1^3 &amp;, 1]]]

with num an integer greater than or equal to 16. I tried using ...

- asked by Piruzzolo (1 vote)

19 Tuesday, January 10, 2017

==================================
Top new questions this week:
==================================

[Is there any possibility to implement a structure like a ProgressIndicator into NDSolve?] http://mathematica.stackexchange.com/questions/134787/is-there-any-possibility-to-implement-a-structure-like-a-progressindicator-into

It is already formulated in the title. NDSolve takes sometimes a considerable piece of time. It would be very practical to have some information on how long it is still to wait. So, any ideas?

To ...

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[This integral is divergent. How to use NIntegrate to see how it grows?] http://mathematica.stackexchange.com/questions/135073/this-integral-is-divergent-how-to-use-nintegrate-to-see-how-it-grows

I am trying to get information on the following integral:

The lower limit is somewhat arbitrary; the point is that ...

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Looking for a way to call a Haskell DLL from Mathematica, I’ve stumbled on this, for GNU R:

It is (to me) a beautiful example ...

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[Product of set elements not exceeding a bound] http://mathematica.stackexchange.com/questions/134743/product-of-set-elements-not-exceeding-a-bound

I have a set of distinct positive integers l (if you wish, you may assume it is a list ordered by size), and a bound lim. In general, l has thousands of elements, but all are at most equal to lim. I ...

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[How does Mathematica solve a certain differential equation?] http://mathematica.stackexchange.com/questions/135055/how-does-mathematica-solve-a-certain-differential-equation

I was trying to solve a nonlinear differential equation with the following code.

DSolve[3*x^2/D[u[x, y], x] + 3*y^2/D[u[x, y], y] == -1, u, {x, y}]

And I got the following output:

{{u -&gt;  ...

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I am running Mathematica on a Windows 10 machine and I would like to develop a package for public distribution. Most of the package will be Mathematica code, but some timing-critical parts should be ...

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[Plotting difference between two Half Normal Distributions] http://mathematica.stackexchange.com/questions/134824/plotting-difference-between-two-half-normal-distributions

I am new to Mathematica, and this question may reflect that.

I am trying to plot the probability density function of a random variable which equals the difference between two independent random ...

================================== Greatest hits from previous weeks: ==================================

[How to create a fascinating QR code like this?] http://mathematica.stackexchange.com/questions/120041/how-to-create-a-fascinating-qr-code-like-this

Check the facinating QRCode in my profile page here

You can find that this QRCode is some sort of intriguing as the QRCode is a IMAGE ITSELF!!!

So my question is, how to create such a QRCode ...

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[Find the 5566th digit after the decimal point of 7/101] http://mathematica.stackexchange.com/questions/125025/find-the-5566th-digit-after-the-decimal-point-of-7-101

I want to find the 5566th digit after the decimal point of 7/101. I input the following code into Mathematica 11:

Mod[IntegerPart[7/101*10^5566], 10]

The output is 6, which is the correct answer. ...

================================== Can you answer these? ==================================

[Inset thickness and ImageResolution] http://mathematica.stackexchange.com/questions/134738/inset-thickness-and-imageresolution

I have noticed that when I export something with an Inset objects,

pp[t_] :=
Plot[Sin[x], {x, -10, 10},
Epilog -&gt;
{Inset[
Framed[
Text[Style[HoldForm["t=" t],  ...

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[Find the parameter values for my matrix for it to have imaginary eigenvalues] http://mathematica.stackexchange.com/questions/134909/find-the-parameter-values-for-my-matrix-for-it-to-have-imaginary-eigenvalues

Say I have a matrix that depends on a parameter . The following may be an example:

a = {{1, u^3 + 2, 1}, {0, 1, u}, {1/u^2, 0, 1}};

My real problem is 12x12 matrix with difficult parametric ...

- asked by Mirko Aveta (1 vote)

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[NotebookEvaluate breaks notebook’s context] http://mathematica.stackexchange.com/questions/135025/notebookevaluate-breaks-notebooks-context

Here is an example of a notebook with local context:

nb = CreateDocument[{
ExpressionCell[Defer @ CurrentValue[EvaluationNotebook[], CellContext], "Input"],
ExpressionCell[Defer @ Context, ... - asked by Kuba (2 votes) 20 Tuesday, January 3, 2017 ================================== Top new questions this week: ================================== [Why should I avoid the For loop in Mathematica?] http://mathematica.stackexchange.com/questions/134609/why-should-i-avoid-the-for-loop-in-mathematica Some people advise against the use of For loops in Mathematica. Why? Should I heed this advice? What is wrong with For? What should I use instead? - asked by Szabolcs (27 votes), answered by Szabolcs (36 votes) —————————- [Is there a style sheet that can be used to generate Stack Exchange input?] http://mathematica.stackexchange.com/questions/134518/is-there-a-style-sheet-that-can-be-used-to-generate-stack-exchange-input It would be convenient if there were a style sheet that automatically indented input cells, and automatically commented output cells, so that one could generate a stack exchange response in WL, and ... - asked by Carl Woll (24 votes), answered by Carl Woll (21 votes) —————————- [Function to create a path made of horizontal and vertical lines between a number of points] http://mathematica.stackexchange.com/questions/134424/function-to-create-a-path-made-of-horizontal-and-vertical-lines-between-a-number I would like to create a function where I can define which case I want to use to create a path. p1 = {40, 48}; p2 = {50, 116}; p3 = {63, 160}; listPurple = Symbol["p" &lt;&gt; ToString[#]] &amp; /@ ... - asked by Maria Regina (16 votes), answered by corey979 (15 votes) —————————- [How to wrap a crumpled paper over a surface?] http://mathematica.stackexchange.com/questions/134514/how-to-wrap-a-crumpled-paper-over-a-surface My initial question was about the making of a crumpled paper. After reading this article suggested by J.M. and little more browsing (kind of random walk you do on a Saturday) I thought about expanding ... - asked by Sumit (8 votes) —————————- [Would like input and output printed on same line, w/o needing extra syntax] http://mathematica.stackexchange.com/questions/134406/would-like-input-and-output-printed-on-same-line-w-o-needing-extra-syntax SUMMARY I’d like to get MMA to automatically print both input and output on the same line, in TraditionalForm, without having to add any extra syntax. Further, I’d like the output to be fully ... - asked by theorist (8 votes), answered by Simon Rochester (4 votes) —————————- [Issue with Cell Frames in version 11] http://mathematica.stackexchange.com/questions/134665/issue-with-cell-frames-in-version-11 Since upgrading to version 11, all of my notebooks now have cell frames are either missing the top or bottom part. Is anyone else experiencing this? Is there a way to fix this? Is this considered ... - asked by Michael McCain (7 votes), answered by MB1965 (5 votes) —————————- [How to speed up this code about a triple integral?] http://mathematica.stackexchange.com/questions/134477/how-to-speed-up-this-code-about-a-triple-integral How to speed up this code? It’s unbelievably slow!!! My solution with pen and paper is faster. Clear[R, h]; Integrate[ Integrate[ Integrate[1, {z, h, Sqrt[R^2 - x^2 - y^2]}, Assumptions -&gt; ... - asked by Mika Ike (7 votes), answered by corey979 (10 votes) ================================== Greatest hits from previous weeks: ================================== [Exporting graphics to PDF - huge file] http://mathematica.stackexchange.com/questions/1542/exporting-graphics-to-pdf-huge-file I want to draw some basic surfaces, export them to PDF and include them in a LaTeX file. I create a simple 3D graphics object, for instance with ParametricPlot3D[{r Cos[θ], r Sin[θ], r^2}, {r, 0, ... - asked by Matthew Leingang (89 votes), answered by Heike (75 votes) —————————- [Entering numbers in Scientific Notation?] http://mathematica.stackexchange.com/questions/36792/entering-numbers-in-scientific-notation I need to play with a lot of powers such as 10^-3. 1E-3 does not work for it. Is there any short form for it? - asked by hhh (21 votes), answered by Rahul (30 votes) ================================== Can you answer these? ================================== [How to specify halting states when using function TuringMachine?] http://mathematica.stackexchange.com/questions/134628/how-to-specify-halting-states-when-using-function-turingmachine The function TuringMachine generates a list that represents the evolution of a Turing Machine given a rule that specifies its behaviour (i.e. set of instructions). For example, the following rule ... - asked by Lili (4 votes) —————————- [Can I use Mathematica for the symbolic verification of cases of a general problem?] http://mathematica.stackexchange.com/questions/134515/can-i-use-mathematica-for-the-symbolic-verification-of-cases-of-a-general-proble I have never used Mathematica before, but I am contemplating using it to solve this problem for a simple case of and and . I can easily get , the Fourier transform of ... - asked by Rajesh Dachiraju (2 votes) —————————- [Antialiasing in Plot3D doesn’t work well] http://mathematica.stackexchange.com/questions/134612/antialiasing-in-plot3d-doesnt-work-well My code is very simple: Style[Plot3D[Cos[x + 0*y], {x, -10, 10}, {y, -2, 42}, Mesh -&gt; None], Antialiasing -&gt; True] There seems some ripple on the top of the figure and I doubt whether it ... - asked by user29114 (1 vote) 21 Tuesday, December 27, 2016 ================================== Top new questions this week: ================================== [Partitioning a number into consecutive integers] http://mathematica.stackexchange.com/questions/134252/partitioning-a-number-into-consecutive-integers Consider n=45; then Question: how to find all representations of a given positive integer n as a sum of ... - asked by corey979 (17 votes), answered by corey979 (19 votes) —————————- [Why is my GIF shaky?] http://mathematica.stackexchange.com/questions/134272/why-is-my-gif-shaky As you can see, the circles are shaking vertically as they approaching each other. Why is that? The code: g = Table[ Graphics[{Thickness[0.01], Table[{ Circle[{0 + x, 0}, r], ... - asked by Jason (13 votes), answered by Sumit (10 votes) —————————- [Can Mathematica edit large binary files in-place?] http://mathematica.stackexchange.com/questions/133973/can-mathematica-edit-large-binary-files-in-place I have a very large binary data file (several hundred GB) which I would like to edit using Mathematica. The only edits required are a few isolated byte replacements—no insertions or deletions. Is it ... - asked by David Zhang (12 votes) —————————- [Solving chess bishop problem] http://mathematica.stackexchange.com/questions/134218/solving-chess-bishop-problem I have generalized the problem in this way where I have a list list=Tuples[Range[8],2] I want to find the largest sublist in which the addition of the two entries for any two elements of the ... - asked by m. bubu (10 votes), answered by ubpdqn (11 votes) —————————- [How to get such rule with a elegant method] http://mathematica.stackexchange.com/questions/134227/how-to-get-such-rule-with-a-elegant-method I have two lists: list={{1,2,3,5},{5,3,9,11,12},{5,9,10,16}}; list2={{7,89},{96,5},{-6,-98}}; This is the expected result. {{1-&gt;{7,89},2-&gt;{7,89},3-&gt;{7,89},5-&gt;{7,89}}, ... - asked by yode (9 votes), answered by Mr.Wizard (9 votes) —————————- [Pseudo-currying in one line] http://mathematica.stackexchange.com/questions/134315/pseudo-currying-in-one-line Often when I’m writing OOP code using an object-manager association I find myself doing something akin to currying the arguments to some form of delegate object or head. (Building a one-argument ... - asked by MB1965 (8 votes), answered by Bob Hanlon (8 votes) —————————- [How to create a multi-graphics plot (i.e. the decomposition of phase plane portrait) with well-organized structure?] http://mathematica.stackexchange.com/questions/134228/how-to-create-a-multi-graphics-plot-i-e-the-decomposition-of-phase-plane-portr Background I am trying to create a three-graphics plot using the command GraphicsGrid[] to show the decomposition of the phase plane portrait; unfortunately, the plot created is very ugly since the ... - asked by Liang.X (8 votes), answered by Sumit (8 votes) ================================== Greatest hits from previous weeks: ================================== [Finding Limits in several variables] http://mathematica.stackexchange.com/questions/21544/finding-limits-in-several-variables Is there a way to find a limit of a multivariable function, like with Mathematica? When is continuous, we can use ... - asked by Dominic Michaelis (21 votes), answered by whuber (32 votes) —————————- [Can Mathematica do symbolic linear algebra?] http://mathematica.stackexchange.com/questions/3242/can-mathematica-do-symbolic-linear-algebra For instance, is there some way I can say ”let A and B be arbitrary real and matrices, Simplify[Transpose[Transpose[A].Transpose[B]]]” and Mathematica would simplify it to B.A? ... - asked by nikie (38 votes), answered by helen (19 votes) ================================== Can you answer these? ================================== [Graph that shows how symbols are used in an expression] http://mathematica.stackexchange.com/questions/134180/graph-that-shows-how-symbols-are-used-in-an-expression I would like to make a graph to show how symbols build up an expression. For example, the matrix multiplication $$\left( \begin{array}{ccc} a &amp; b &amp; c \\ d &amp; e &amp; f \\ \end{array} ... - asked by ConvexMartian (4 votes) —————————- [Question about DynamicModule] http://mathematica.stackexchange.com/questions/134063/question-about-dynamicmodule I have a such custom function: MyCopy := DynamicModule[{from, to}, Print@Grid[{{FileNameSetter[Dynamic[from], "Directory"], Dynamic[from]}, {FileNameSetter[Dynamic[to], "Directory"], ... - asked by yode (3 votes) —————————- [General solution of inscribed square problem] http://mathematica.stackexchange.com/questions/134237/general-solution-of-inscribed-square-problem There is my earlier question about Inscribed square problem Now I tried to find the general solution for any curve . For instance : ... - asked by vito (5 votes) 22 Tuesday, December 20, 2016 ================================== Top new questions this week: ================================== [How can I work with RawArray?] http://mathematica.stackexchange.com/questions/133666/how-can-i-work-with-rawarray RawArray seems to be able to efficiently hold integer and floating point data of various sizes. What is RawArray good for? How can we use it? - asked by Szabolcs (19 votes), answered by Szabolcs (15 votes) —————————- [Random points around the given curve] http://mathematica.stackexchange.com/questions/133682/random-points-around-the-given-curve How to plot a random points around the following Helix curve? ParametricPlot3D[{6 Cos[t], 6 Sin[t], t}, {t, -2 π, 4 π}, PlotTheme -&gt; "Detailed", PlotStyle -&gt; {Blue, Thickness[Large]}, ... - asked by vito (14 votes), answered by J. M. (15 votes) —————————- [Intuition behind FoldPair and SequenceFold?] http://mathematica.stackexchange.com/questions/133625/intuition-behind-foldpair-and-sequencefold In trawling through the documentation I’ve found the functions FoldPairList and SequenceFoldList. Examples are given of how to use FoldPairList: Partition a list into sublists of different lengths ... - asked by pdmclean (12 votes), answered by andre (4 votes) —————————- [Product of two lists] http://mathematica.stackexchange.com/questions/133723/product-of-two-lists Please, for the two lists: L1 := {{a, b}, {c, d}, {e, f}} L2 := {{g, h, i}, {j, k, q}} I need the result {{{a g, a h, a i}, {c g, c h, c i}, {e g, e h, e i}}, {{b j, b k, b q}, {d j, d k, d ... - asked by Ali (11 votes), answered by xzczd (13 votes) —————————- [Is there something similar to seaborn stripplot in mathematica] http://mathematica.stackexchange.com/questions/133634/is-there-something-similar-to-seaborn-stripplot-in-mathematica Is there something similar to seaborn stripplot in mathematica? The graph I am trying to make is like this: - asked by Yordan (11 votes), answered by Brett Champion (12 votes) —————————- [Collapsible Tree] http://mathematica.stackexchange.com/questions/133492/collapsible-tree Has somebody tried to program for data visualization an interactive Collapsible Tree like shown here: http://bl.ocks.org/mbostock/4339083. This implements the Reingold-Tilford algorithm. ... - asked by mrz (8 votes) —————————- [FindDistributionParameters fails with custom distribution which cannot be evaluated symbolically] http://mathematica.stackexchange.com/questions/133456/finddistributionparameters-fails-with-custom-distribution-which-cannot-be-evalua Context I am interested in measuring the dark energy equation of state of the universe while fitting the PDF of density in cells. This involves fitting a one parameter PDF to some data. Following ... - asked by chris (7 votes) ================================== Greatest hits from previous weeks: ================================== [How can I draw the Olympic rings with Mathematica?] http://mathematica.stackexchange.com/questions/8885/how-can-i-draw-the-olympic-rings-with-mathematica How can I draw the 5 interlocking Olympic rings with Mathematica? (SVG version) Edit Hard choice, but some pretty cool answers here. I didn’t have 3D answers in mind when I posted the question, ... - asked by Mike Honeychurch (42 votes), answered by cormullion (19 votes) —————————- [Where can I find examples of good Mathematica programming practice?] http://mathematica.stackexchange.com/questions/18/where-can-i-find-examples-of-good-mathematica-programming-practice I consider myself a pretty good Mathematica programmer, but I’m always looking out for ways to either improve my way of doing things in Mathematica, or to see if there’s something nifty that I haven’t ... - asked by J. M. (448 votes), answered by faysou (397 votes) ================================== Can you answer these? ================================== [Symbolic Weak Form] http://mathematica.stackexchange.com/questions/133575/symbolic-weak-form Usually I write the weak form by hand for my FEM code, but it’s a little annoying and mechanic sometimes. So, I wonder, is there any way to generate the symbolic weak form in Mathematica? For ... - asked by senseiwa (5 votes) —————————- [Why is Minimize spinning?] http://mathematica.stackexchange.com/questions/133789/why-is-minimize-spinning The command Minimize[a^2 + b^2 + c^2 + a*b + b*c + a*c - (a + b - c)*Sqrt[2 a*b + b*c + a*c] - (b + c - a)* Sqrt[2 b*c + b*a + a*c] - (a + c - b)*Sqrt[2 a*c + a*b + b*c], a &gt;= 0 &amp;&amp; b ... - asked by user64494 (4 votes) —————————- [How to export an MXNet?] http://mathematica.stackexchange.com/questions/133857/how-to-export-an-mxnet I was hoping there was some way to generate the .params and .json file needed to define an MXNet model, from a network trained using NetTrain[] in Mathematica: I see these functions in the ... - asked by user5601 (5 votes) 23 Tuesday, December 13, 2016 ================================== Top new questions this week: ================================== [Query: adding additional operator changes meaning of preceding operators] http://mathematica.stackexchange.com/questions/133124/query-adding-additional-operator-changes-meaning-of-preceding-operators Consider the following query: Range[5] // Query[Select[EvenQ] /* Append[1], f] (* {f[2], f[4], 1} *) It selects the even numbers, applies f to them and finally appends 1 to the list. As expected, ... - asked by WReach (15 votes), answered by WReach (15 votes) —————————- [Why does Mathematica think this series doesn’t converge?] http://mathematica.stackexchange.com/questions/132982/why-does-mathematica-think-this-series-doesnt-converge Bug introduced in 10.0 and persisting through 11.0 (reported as CASE:3790525) Here’s a simple series: Sum[t^k DiscreteDelta[k]/k!,{k,0,Infinity}] Mathematica says that it doesn’t converge. But ... - asked by Ruslan (13 votes), answered by Jules Lamers (9 votes) —————————- [Joining two lists with relational operators] http://mathematica.stackexchange.com/questions/132928/joining-two-lists-with-relational-operators I have two lists liste = {x, -y, y, -z} and listv = {1, -2, 3, -4}, which represent the inequities obtained evaluating liste - listv &lt;= 0. How do I reassemble or join those two separate lists into ... - asked by nanjun (13 votes), answered by Kuba (15 votes) —————————- [What assumptions do I need to make Mathematica integrate a function?] http://mathematica.stackexchange.com/questions/133052/what-assumptions-do-i-need-to-make-mathematica-integrate-a-function When I feed Mathematica the following integral: Integrate[Sqrt[(A - x) (B - x)/x], {x, 0, B}] it spits it back out without evaluating it. However, it can evaluate the integral Integrate[Sqrt[(2 - ... - asked by user45146 (11 votes), answered by Artes (12 votes) —————————- [Do Apple Watch + Mathematica integrations still work?] http://mathematica.stackexchange.com/questions/133358/do-apple-watch-mathematica-integrations-still-work I tried to follow this blog post: Instant Apps for Apple Watch, but none of the examples given worked, instead, they would simply hang on the ”loading” screen. Can anyone verify if this ... - asked by M.R. (9 votes) —————————- [Locate Start and End Positions of Repeated Sequences in a list] http://mathematica.stackexchange.com/questions/133164/locate-start-and-end-positions-of-repeated-sequences-in-a-list ListA = 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 12, 12, 12, 14, 14, 14, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, ... - asked by SPIL (8 votes), answered by Suba Thomas (5 votes) —————————- [How can I add noise to a neural network input?] http://mathematica.stackexchange.com/questions/133090/how-can-i-add-noise-to-a-neural-network-input A common ”trick” in neural network training is to train an autoencoder using a ”degraded” sample as input and the original sample as target output. The layer type DropoutLayer[] is made for this ... - asked by nikie (8 votes), answered by nikie (5 votes) ================================== Greatest hits from previous weeks: ================================== [Can Mathematica do symbolic linear algebra?] http://mathematica.stackexchange.com/questions/3242/can-mathematica-do-symbolic-linear-algebra For instance, is there some way I can say ”let A and B be arbitrary real and matrices, Simplify[Transpose[Transpose[A].Transpose[B]]]” and Mathematica would simplify it to B.A? ... - asked by nikie (38 votes), answered by helen (19 votes) —————————- [Calculate the 2D Fourier transform of an Image] http://mathematica.stackexchange.com/questions/29203/calculate-the-2d-fourier-transform-of-an-image I am new to Mathematica, and using version 8.0. I would like to calculate the 2D Fourier Transform of an Image with Mathematica and plot the magnitude and phase spectrum, as well as reconstruct the ... - asked by user8727 (5 votes), answered by Nasser (27 votes) ================================== Can you answer these? ================================== [Mathematica script, called from Windows task scheduler, does not export graphics] http://mathematica.stackexchange.com/questions/133075/mathematica-script-called-from-windows-task-scheduler-does-not-export-graphics When I run the following script from command line, Needs["JLink"]; ConnectToFrontEnd[]; resultChart = UseFrontEnd[JuliaSetPlot[0.365 - 0.37 I]]; UseFrontEnd[Export["test.png", resultChart]]; ... - asked by Karsten W. (2 votes) —————————- [Is it possible to do matrix algebra symbolically?] http://mathematica.stackexchange.com/questions/132955/is-it-possible-to-do-matrix-algebra-symbolically I’m reading a book that has the following theorem: I am trying to make Mathematica perform these calculations for me. Is it possible to do it without having to declare the matrices? For ... - asked by Oppa Hilbert Style (2 votes) —————————- [Making graphic objects disappear interactively] http://mathematica.stackexchange.com/questions/133256/making-graphic-objects-disappear-interactively I am trying to create a program where dots on a plane disappear when an object passes over them. I am using EventHandler to code the arrow keys for control of the object. I want each dot to ... - asked by Savannah S (1 vote) 24 Tuesday, December 6, 2016 ================================== Top new questions this week: ================================== [How to find arXiv articles] http://mathematica.stackexchange.com/questions/132685/how-to-find-arxiv-articles I found at Twitter that is possible to search for arXiv articles with Mathematica: E.g. the following code: arXiv = ServiceConnect["ArXiv"]; articles = arXiv["Search", {"Query" -&gt; ... - asked by mrz (16 votes), answered by user21 (11 votes) —————————- A crucial step in self-driving car is to detect lane lines. I’m wondering whether this can be achieved robustly using Mathematica’s rich image processing tools. For example how can I take camera ... - asked by xslittlegrass (14 votes), answered by nikie (14 votes) —————————- [Neural Network for polynomial fit] http://mathematica.stackexchange.com/questions/132546/neural-network-for-polynomial-fit I’m trying to build up a neural network with Mathematica 11.0, that should fit data which behaves like a polynom of third order. I thought that an NN with one or two hidden layers can fit any ... - asked by A.Zachl (12 votes), answered by nikie (9 votes) —————————- [How to make notebooks suitable for the Documentation Center?] http://mathematica.stackexchange.com/questions/132392/how-to-make-notebooks-suitable-for-the-documentation-center Normally, documentation meant to be integrated into the Documentation Center is built from special source notebooks. According to the Workbench documentation, it should also be possible to use ... - asked by Szabolcs (12 votes), answered by jkuczm (5 votes) —————————- [Largest palindrome from given string] http://mathematica.stackexchange.com/questions/132834/largest-palindrome-from-given-string Someone recently posted a request on LinkedIn for an algorithm to find the largest palindrome from a given string. I came up with this, which I believe does the trick, but I am wondering if there ... - asked by Jonathan Kinlay (10 votes), answered by Kuba (10 votes) —————————- [Why Function is not identical to & in autocompilation?] http://mathematica.stackexchange.com/questions/132656/why-function-is-not-identical-to-in-autocompilation Here is the example, copied from here square = Function[x, x^2]; square1 = #^2 &amp;; the timing and unpacking status shows data = RandomReal[0, 10, 10000]; ... - asked by matheorem (10 votes), answered by m_goldberg (4 votes) —————————- [Analytic solution to Newtonian gravity differential equation] http://mathematica.stackexchange.com/questions/132875/analytic-solution-to-newtonian-gravity-differential-equation I was told that I could obtain an analytic solution to a particle falling under the influence of Newtonian gravity by using DSolveValue. What I am given is a point mass at ... - asked by Joe (9 votes), answered by Kagaratsch (9 votes) ================================== Greatest hits from previous weeks: ================================== [Unit Discovery: Is this some sort of a sick joke?] http://mathematica.stackexchange.com/questions/124745/unit-discovery-is-this-some-sort-of-a-sick-joke Alright, let’s have some fun here. I am essentially following the documentation by Wolfram, just looking at different quantities. N[UnitConvert[Quantity["earths gravity"]]] 9.80665m/(s)^2 Hmm, ... - asked by Pirx (30 votes), answered by xavier (30 votes) —————————- [How can Mathematica be used to create images like these?] http://mathematica.stackexchange.com/questions/118992/how-can-mathematica-be-used-to-create-images-like-these Here are two examples of artistic image interpolation using just black lines: TRIANGULATION: ANGULAR CELEBRITIES DRAWN WITH A PEN Interpolation for Triangulation-represented Digital Image The ... - asked by R Hall (28 votes), answered by MarcoB (29 votes) ================================== Can you answer these? ================================== [How to find a value to make function positive and real?] http://mathematica.stackexchange.com/questions/132883/how-to-find-a-value-to-make-function-positive-and-real Let x=(((-3 + r) r^2 + a^2 (1 + r)) Csc[θ])/(a (-1 + r)) y=Sqrt[(a^2 (a^2 (1 + r)^2 + 2 r^2 (-3 + r^2)) + a^4 (-1 + r)^2 Cos[θ]^2 - ((-3 + r) r^2 + a^2 (1 + r))^2 Csc[θ]^2)/(a^2 (-1 + r)^2)] ... - asked by MrDi (1 vote) —————————- [Creating an automatic code feedback for class] http://mathematica.stackexchange.com/questions/132880/creating-an-automatic-code-feedback-for-class I’m trying to create a server application that accepts uploaded Mathematica files (that follow a certain API), then run a few tests on modules defined within those files. This is for a course where ... - asked by michael99man (1 vote) —————————- [Nontrivial background removal] http://mathematica.stackexchange.com/questions/132844/nontrivial-background-removal I have an image of a product on a poorly made green screen and need to segment out just the product: The problem is that it contains a mirror, so simple color-based methods are not enough. I tried ... - asked by M.R. (4 votes) 25 Tuesday, November 29, 2016 ================================== Top new questions this week: ================================== [PacletInfo.m documentation project] http://mathematica.stackexchange.com/questions/132064/pacletinfo-m-documentation-project Packages can be made into paclets, which provides easy distribution and versioning. The paclet metadata is in the PacletInfo.m file. The PacletInfo settings also determine how the paclet can extend ... - asked by Szabolcs (25 votes), answered by Szabolcs (22 votes) —————————- [Replace custom functions, leave built in functions untouched?] http://mathematica.stackexchange.com/questions/131938/replace-custom-functions-leave-built-in-functions-untouched I have three expressions a[x, y], b[x, y], c[x, y] that act as placeholders for functions of two variables x,y. Consider the following substitution: a[x, y]/(b[x, y] c[x, y]) /. f_[x1_, y1_] :&gt; ... - asked by Kagaratsch (16 votes), answered by Mr.Wizard (18 votes) —————————- [Why CompilationTarget -¿ C is slower than directly writing with C?] http://mathematica.stackexchange.com/questions/132130/why-compilationtarget-c-is-slower-than-directly-writing-with-c Probably a hard question, but I think it’s better to cry out loud. I’ve hesitated for a while about whether I should post this in StackOverflow with a c tag or not, but finally decide to keep it ... - asked by xzczd (15 votes), answered by Albert Retey (11 votes) —————————- [Detecting kernel initialization] http://mathematica.stackexchange.com/questions/132212/detecting-kernel-initialization Certain operations do not work during kernel initialization. Code from Kernel/init.m, the Autoload directory, or packages set to autoload may evaluate at initialization time. Is there a way to ... - asked by Szabolcs (12 votes), answered by Szabolcs (10 votes) —————————- [How can I change the default file type for ”Save Selection As”] http://mathematica.stackexchange.com/questions/132224/how-can-i-change-the-default-file-type-for-save-selection-as When using the menu item File - Save Selection As, the default file type is PDF. Is there any way to change the default to something else, for example PNG? - asked by Simon Woods (12 votes), answered by Mike Honeychurch (13 votes) —————————- [How to obtain the ViewPoint] http://mathematica.stackexchange.com/questions/132228/how-to-obtain-the-viewpoint Normally, I used ViewPoint in the code in Plot3D. Most of the time, I will use mouse to rotate the 3D object to get a better view point. The problem is, when I find the best view point for me, is ... - asked by Qi Zhong (12 votes), answered by Jack LaVigne (14 votes) —————————- [Wonky Solutions to Schrödinger Equation with Box Barrier] http://mathematica.stackexchange.com/questions/131854/wonky-solutions-to-schr%C3%B6dinger-equation-with-box-barrier I’m trying to solve the Schrödinger equation using NDSolve in a case where there is a potential box barrier. The initial condition is a cosine wave, and for boundary conditions I require that the ... - asked by Buddhapus (8 votes), answered by xzczd (4 votes) ================================== Greatest hits from previous weeks: ================================== [Can Mathematica do symbolic linear algebra?] http://mathematica.stackexchange.com/questions/3242/can-mathematica-do-symbolic-linear-algebra For instance, is there some way I can say ”let A and B be arbitrary real and matrices, Simplify[Transpose[Transpose[A].Transpose[B]]]” and Mathematica would simplify it to B.A? ... - asked by nikie (35 votes), answered by helen (18 votes) —————————- [How to tell Mathematica that certain variables are real/imaginary, integer-valued, etc] http://mathematica.stackexchange.com/questions/66273/how-to-tell-mathematica-that-certain-variables-are-real-imaginary-integer-value I’m trying to expedite some quantum mechanical calculations by running them through Mathematica. Expectation values and stuff like that. When I say, for example, u[x_] := Sqrt[2/L] * Sin[Pi * n * x / ... - asked by Matthew Brunetti (9 votes), answered by SquareOne (7 votes) ================================== Can you answer these? ================================== [Is it possible to change the text cursor’s shape and color?] http://mathematica.stackexchange.com/questions/132322/is-it-possible-to-change-the-text-cursors-shape-and-color I find it visually pleasant to reverse the background and foreground colors when working on a notebook; as shown below, in fact, it’s almost a requirement after working long hours on the same ... - asked by Jerome Ibanes (1 vote) —————————- [FindClusters doesn’t accept custom DistanceFunction] http://mathematica.stackexchange.com/questions/132287/findclusters-doesnt-accept-custom-distancefunction I have a problem with using custom DistanceFunction in FindClusters. To make the issue as simple as possible, consider clustering odd &amp; even numbers in the following way: ... - asked by ahrvoje (6 votes) —————————- [FrameLabel is Broken for ArrayPlot and MatrixPlot] http://mathematica.stackexchange.com/questions/132008/framelabel-is-broken-for-arrayplot-and-matrixplot In version 11.0.1 the documentation for FrameLabel states its format is left, right, bottom, top However, it appears that this is not the case for MatrixPlot. ... - asked by Edmund (5 votes) 26 Tuesday, November 22, 2016 ================================== Top new questions this week: ================================== [Create the source image for this cool animated illusion] http://mathematica.stackexchange.com/questions/131644/create-the-source-image-for-this-cool-animated-illusion Have a look at this very awesome video: You have a vertically discretized image, which is composed of 5 or 6 images, which are shifted by an increment, as ... - asked by DoHe (22 votes), answered by corey979 (25 votes) —————————- [Restarting Mathematica automatically] http://mathematica.stackexchange.com/questions/131573/restarting-mathematica-automatically I run a large computation in a loop. At each cycle of the loop I produce large arrays that I save on a disk. At each cycle I would like to Quit Mathematica and then restart automatically, loading ... - asked by Vadim (15 votes), answered by Szabolcs (14 votes) —————————- [How to handle package dependencies?] http://mathematica.stackexchange.com/questions/131567/how-to-handle-package-dependencies When an application written in C++ depends on some libraries, the libraries are usually shipped together with the application. Two applications that depend on the same library will not share the same ... - asked by Szabolcs (11 votes), answered by Kuba (3 votes) —————————- [How to sample many points below a curve?] http://mathematica.stackexchange.com/questions/131755/how-to-sample-many-points-below-a-curve I have plotted the curve, and I wanted to take 1000 points in the shaded area uniformly. How can I make it? Plot[1/π Cos[θ]^2, {θ, 0, 2 π}, Filling -&gt; Bottom] - asked by ZHANG Juenjie (10 votes), answered by bbgodfrey (11 votes) —————————- [how to style multi-value interpolation function plot?] http://mathematica.stackexchange.com/questions/131516/how-to-style-multi-value-interpolation-function-plot Is there a cleaner way to apply different styles to the different channels of a multi value interpolation function? here is a 2-output interpolation function: f = Interpolation[Table[ {x, N@{Sin[x], ... - asked by george2079 (10 votes), answered by Michael E2 (7 votes) —————————- [Backtesting a Probability of Default (PD) model] http://mathematica.stackexchange.com/questions/131347/backtesting-a-probability-of-default-pd-model Background PD models Financial institutions use Probability of Default (PD) models for various purposes such as client acceptance, provisioning and regulatory capital calculation as required by the ... - asked by Sjoerd C. de Vries (10 votes), answered by Sjoerd C. de Vries (14 votes) —————————- [Display bug in Dataset’s UnitConvert handling] http://mathematica.stackexchange.com/questions/131332/display-bug-in-datasets-unitconvert-handling Bug introduced in 11.0.1 (or possibly 11.0.0) Is this yet another annoying regression in v11 Dataset type handling? The display form seems to be a formatting bug: The numerator and denominator of ... - asked by alancalvitti (10 votes), answered by WReach (4 votes) ================================== Greatest hits from previous weeks: ================================== [Exporting graphics to PDF - huge file] http://mathematica.stackexchange.com/questions/1542/exporting-graphics-to-pdf-huge-file I want to draw some basic surfaces, export them to PDF and include them in a LaTeX file. I create a simple 3D graphics object, for instance with ParametricPlot3D[{r Cos[\[Theta]], r Sin[\[Theta]], ... - asked by Matthew Leingang (85 votes), answered by Heike (74 votes) —————————- [How to create a new ”person curve”?] http://mathematica.stackexchange.com/questions/17704/how-to-create-a-new-person-curve Wolfram—Alpha has a whole collection¹ of parametric curves that create images of famous people. To see them, enter WolframAlpha[”person curve”] into a Mathematica notebook, or person curve into ... - asked by Simon (61 votes), answered by Vitaliy Kaurov (30 votes) ================================== Can you answer these? ================================== [Unix-like reference to parent and root Association?] http://mathematica.stackexchange.com/questions/131337/unix-like-reference-to-parent-and-root-association Is there a syntax or function to reference parent and root when querying nested Associations similar to Unix ".." and "/", eg "cd ../../mydir". ? Here’s a typical application of the root ... - asked by alancalvitti (3 votes) —————————- [Strange behaviour of FullSimplify when checking an equality of SparseArray’s] http://mathematica.stackexchange.com/questions/131400/strange-behaviour-of-fullsimplify-when-checking-an-equality-of-sparsearrays I stumbled upon the following strange behaviour. Disclaimer: I present the simplest instance that I could find in which some behaviour occurs that I first noticed in a different, more complicated ... - asked by Jules Lamers (1 vote) —————————- [ListPlot PlotRange Ignored with all Missing or empty data] http://mathematica.stackexchange.com/questions/131321/listplot-plotrange-ignored-with-all-missing-or-empty-data I have a function that uses ListPlot to draw a custom plot. When a data value is not applicable I pass in Missing to prevent ListPlot and its Prolog option from displaying the point the function will ... - asked by Edmund (3 votes) 27 Tuesday, November 15, 2016 ================================== Top new questions this week: ================================== [Why (and when) does pattern matching with f[__] perform MUCH more quickly than _f?] http://mathematica.stackexchange.com/questions/130984/why-and-when-does-pattern-matching-with-f-perform-much-more-quickly-than Consider this expression in Mathematica 10.3 (and above) on MacOS X: expr = a b c d e f g h i j k l m n o p q r s t myG[u] myF[a, b] Now compare the time it takes to apply the following ... - asked by QuantumDot (22 votes), answered by WReach (17 votes) —————————- [Getting wrong limit with Bessel] http://mathematica.stackexchange.com/questions/130741/getting-wrong-limit-with-bessel I computed a following limit (related to the asymptotic expansion of the sequence A000009 - number of partitions of n into distinct parts) Expand[Limit[(((π BesselI[1, (Sqrt[1/24 + n] ... - asked by Vaclav Kotesovec (11 votes), answered by Akku14 (9 votes) —————————- [Join lists by observing x-value] http://mathematica.stackexchange.com/questions/130903/join-lists-by-observing-x-value Hi everybody I have as a small test with two datasets (normally I have 100 datasets with 4100 brackets): Dataset1={{20,1},{30, 1.3}, {40, 0.4}, {50, 0.9}} Dataset2={{30, 1.2}, {40, 1}, {50, 0.4}, ... - asked by Jacccy (10 votes), answered by ubpdqn (13 votes) —————————- [How to distribute Mathematica packages as paclets?] http://mathematica.stackexchange.com/questions/131101/how-to-distribute-mathematica-packages-as-paclets Mathematica does have a nice package manager. Packages are called paclets, and they can be managed using the functions from the PacletManager‘ context. How can I package up my own packages as ... - asked by Szabolcs (9 votes), answered by Szabolcs (7 votes) —————————- [Does function call via @ ignore HoldFirst attribute?] http://mathematica.stackexchange.com/questions/130889/does-function-call-via-ignore-holdfirst-attribute I was trying to test whether using func[x,y] is the same as func[#,y]&amp;@x: SetAttributes[test, HoldFirst] test[1 + 2 - 3, 5 - 5] test[#, 5 - 5] &amp;@(1 + 2 - 3) test[1 + 2 - 3, 0] ... - asked by Ruslan (8 votes), answered by m_goldberg (9 votes) —————————- [Graph visualization: Leave gap between vertex and endpoint of edge] http://mathematica.stackexchange.com/questions/130821/graph-visualization-leave-gap-between-vertex-and-endpoint-of-edge This is a nice graph: g = CycleGraph[4]; Graph[g, VertexCoordinates -&gt; {{0, 0}, {0, 1}, {1, 1}, {1, 0}}, VertexLabels -&gt; Placed["Name", Center], VertexSize -&gt; Medium, EdgeShapeFunction ... - asked by cyrille.piatecki (8 votes), answered by kglr (12 votes) —————————- [Help finding the centre of a faint, incomplete circle?] http://mathematica.stackexchange.com/questions/130787/help-finding-the-centre-of-a-faint-incomplete-circle so I found a program in the answers to this question that I thought was brilliant, so here it is applied to my situation: I have the image and here’s the code: ... - asked by Mason (8 votes) ================================== Greatest hits from previous weeks: ================================== [How can Mathematica be used to create images like these?] http://mathematica.stackexchange.com/questions/118992/how-can-mathematica-be-used-to-create-images-like-these Here are two examples of artistic image interpolation using just black lines: TRIANGULATION: ANGULAR CELEBRITIES DRAWN WITH A PEN Interpolation for Triangulation-represented Digital Image The ... - asked by R Hall (28 votes), answered by MarcoB (29 votes) —————————- [How do you make a Neural Net?] http://mathematica.stackexchange.com/questions/123458/how-do-you-make-a-neural-net In the new Mathematica release (v11), NeuralNetworks is one of the new main features. However, the documentation isn’t that clear on what function should be used in a Net. The documentation on ... - asked by JHM (22 votes), answered by Searke (24 votes) ================================== Can you answer these? ================================== [Understanding the structure of an InterpolatingFunction] http://mathematica.stackexchange.com/questions/131063/understanding-the-structure-of-an-interpolatingfunction FunctionInterpolation[x^2, {x, 0, 9}] // InputForm returns: InterpolatingFunction[ 0., 9., 5, 3, 0, 13, 4, 0, 0, 0, 0, Automatic, , , False, 0., 0.75, 1.5, 2.25, 3., 3.75, ... - asked by anderstood (1 vote) —————————- [Is it possible to create .stp 3D model from Graphics3D?] http://mathematica.stackexchange.com/questions/130883/is-it-possible-to-create-stp-3d-model-from-graphics3d I want to create some 3D solid model by Mathematica, and then export it into stp (step) format for further finite element or finite volume analysis in Fluent/ANSYS or Abaqus. But so far to me, it ... - asked by user6043040 (3 votes) —————————- [Time constrained loop unit] http://mathematica.stackexchange.com/questions/131159/time-constrained-loop-unit I have a particularly difficult loop, in that it consists of two variables looping and sowing the result if a criteria is met. Overall it works for me, but some certain values for my variables take ... - asked by Castle (2 votes) 28 Tuesday, November 8, 2016 ================================== Top new questions this week: ================================== [For a better animation of the solution from NDSolve] http://mathematica.stackexchange.com/questions/130502/for-a-better-animation-of-the-solution-from-ndsolve I obtained a numerical solution from the following code with NDSolve L = 20; tmax = 27; \[Sigma] = 2; myfun = First[h /. NDSolve[{D[h[x, y, t], t] + Div[h[x, y, t]^3*Grad[Laplacian[h[x, y, t], {x, ... - asked by jsxs (12 votes), answered by Nasser (14 votes) —————————- [A puzzling result of ”FullSimplify”] http://mathematica.stackexchange.com/questions/130606/a-puzzling-result-of-fullsimplify When I input: FullSimplify[(1 - a^2)/b^2, a^2 + b^2 == 1] the result is the ideal answer 1； However，if I input: FullSimplify[(1 - b^2)/a^2, a^2 + b^2 == 1] the result is (1 - b^2)/a^2 ... - asked by dabuyang (11 votes), answered by Bob Hanlon (7 votes) —————————- [ImageFeatureTrack or ImageDisplacements to measure average object velocities in images] http://mathematica.stackexchange.com/questions/130391/imagefeaturetrack-or-imagedisplacements-to-measure-average-object-velocities-in I have as example a set of 30 gray scale images (8bit, 568*478 pixels, they are avalable here: http://tinyurl.com/zckyv9w where bright objects on dark background move from image to image mainly ... - asked by mrz (9 votes), answered by Simon Woods (10 votes) —————————- [Documentation Tools: Don’t put web URL in user package docs] http://mathematica.stackexchange.com/questions/130515/documentation-tools-dont-put-web-url-in-user-package-docs I am exploring the Workbench documentation tools for the first time and one of the difficulties I encountered was that every generated (compiled) documentation page includes weblinks. These point to ... - asked by Szabolcs (9 votes) —————————- [How to make plots ’blacker’?] http://mathematica.stackexchange.com/questions/130471/how-to-make-plots-blacker I need to make a contour plot for publication, but even if I set ContourStyle-&gt;Black, the black plots and the axes are very faint. When I export the figure in svg and open it in some ... - asked by Physicist (9 votes), answered by Michael E2 (10 votes) —————————- [How to specify algebraic relations between objects?] http://mathematica.stackexchange.com/questions/130258/how-to-specify-algebraic-relations-between-objects so I’m wanting to screw around a bit with Geometric Algebra in Mathematica. To start, I want to create some basis objects: and then specify the relations between them which are - asked by Mason (9 votes), answered by march (9 votes) —————————- [Crack it If you Can? BUT in the BEST way] http://mathematica.stackexchange.com/questions/130566/crack-it-if-you-can-but-in-the-best-way From the Wolfram Community: Hello everyone, A little while ago I was asked to solve this ”safe cracker” puzzle, a sweet example of a coffee table puzzle. The basic gist of this puzzle is that it ... - asked by Youphyso (8 votes), answered by george2079 (4 votes) ================================== Greatest hits from previous weeks: ================================== [Writing a word with straight lines] http://mathematica.stackexchange.com/questions/113403/writing-a-word-with-straight-lines Here is an interesting way to write a word: (it is from a poster for the International Museum Day 2006; I believe it even won an award at an international design competition) by Boris Ljubicic. ... - asked by VividD (72 votes), answered by Anton Antonov (34 votes) —————————- [Where can I find examples of good Mathematica programming practice?] http://mathematica.stackexchange.com/questions/18/where-can-i-find-examples-of-good-mathematica-programming-practice I consider myself a pretty good Mathematica programmer, but I’m always looking out for ways to either improve my way of doing things in Mathematica, or to see if there’s something nifty that I haven’t ... - asked by J. M. (441 votes), answered by faysou (396 votes) ================================== Can you answer these? ================================== [Passing boolean parameters to a .NET Method using NETLink] http://mathematica.stackexchange.com/questions/130658/passing-boolean-parameters-to-a-net-method-using-netlink According to the NETLink documentation, NETLink automatically handles type conversions from Mathematica to a .NET dll. One of the issues I have is that the .NET method I want to use expects a Boolean ... - asked by user39464 (1 vote) —————————- [ParametricPlot3D Self Intersection] http://mathematica.stackexchange.com/questions/130460/parametricplot3d-self-intersection I would like to know where my ParametricPlot3D intersects itself and to extract all intersections (points, lines, surfaces...) to animate them by changing P: ParametricPlot3D[{fX[u,v,P], fY[u,v,P], ... - asked by chkone (3 votes) —————————- [Faster solution to combinatorial problem of two-part contractions] http://mathematica.stackexchange.com/questions/130598/faster-solution-to-combinatorial-problem-of-two-part-contractions Given a list of elements I need all possible pairings of elements with a leading factor that describes the number of permutations. A (ugly but) working version would be: list = {a, b, c, d}; res = ... - asked by pbx (2 votes) 29 Tuesday, November 1, 2016 ================================== Top new questions this week: ================================== [Huge bug involving MultinormalDistribution?] http://mathematica.stackexchange.com/questions/129916/huge-bug-involving-multinormaldistribution Bug introduced in 8.0 or earlier and persisting through 11.0.1 I found a strange behavior regarding the CDF of the bivariate Normal distribution ... - asked by fwgb (21 votes), answered by Eric Towers (19 votes) —————————- [GeoDistance - higher spatial resolution / precision?] http://mathematica.stackexchange.com/questions/130044/geodistance-higher-spatial-resolution-precision I’m having a small problem with GeoDistance. I’ve chosen a target city – San Francisco – and I’ve computed distances from SF to five other cities. Then I draw circles around each city, with radius ... - asked by ConvexMartian (9 votes), answered by jose (4 votes) —————————- [How to extract the first dimension in TimeSeries?] http://mathematica.stackexchange.com/questions/129836/how-to-extract-the-first-dimension-in-timeseries I want to extract the first dimension in TimeSeries，for example: So I use this code: data = Normal@AudioLocalMeasurements[ExampleData[{"Audio", "PianoScale"}],"MFCC"]; Thread[{data[[All, 1]], ... - asked by partida (9 votes), answered by kglr (6 votes) —————————- [How to recover Pauli matrices properties in Mathematica?] http://mathematica.stackexchange.com/questions/129799/how-to-recover-pauli-matrices-properties-in-mathematica I want to do a cross or dot product involving a vector of Pauli matrices σ=(σ1,σ2,σ3); for example, σxσ=2iσ or σ.σ=3I. Is there a simple way to do these operations? - asked by user3654016 (8 votes), answered by corey979 (10 votes) —————————- [Flatten sublists within a bigger list] http://mathematica.stackexchange.com/questions/130011/flatten-sublists-within-a-bigger-list Really sorry if this question is a duplicate. I couldn’t find exactly what I was looking for. Here is a list I have: {{{0. + 0.1875 I, 0. + 0.105469 I, 0. + 0.03125 I, 0. + 0.00390625 I, 0. + ... - asked by jrekier (7 votes), answered by Edmund (6 votes) —————————- [7-dimensional cross product] http://mathematica.stackexchange.com/questions/129863/7-dimensional-cross-product How to define a 7-dimensional cross product?$$\begin{aligned}\mathbf {x} \times \mathbf {y} =(x_{2}y_{4}-x_{4}y_{2}+x_{3}y_{7}-x_{7}y_{3}+x_{5}y_{6}-x_{6}y_{5})\,&amp;\mathbf {e} ... - asked by corey979 (7 votes), answered by Sumit (4 votes) —————————- [How to draw a clock-diagram?] http://mathematica.stackexchange.com/questions/129960/how-to-draw-a-clock-diagram I found a clock-diagram in a paper, so I would like to draw it in Mathematica. The main trouble for me is the corresponding line segments on the circle. I would let the data1 lie the outside on the ... - asked by user123 (7 votes), answered by Feyre (7 votes) ================================== Greatest hits from previous weeks: ================================== [How can Mathematica be used to create images like these?] http://mathematica.stackexchange.com/questions/118992/how-can-mathematica-be-used-to-create-images-like-these Here are two examples of artistic image interpolation using just black lines: TRIANGULATION: ANGULAR CELEBRITIES DRAWN WITH A PEN Interpolation for Triangulation-represented Digital Image The ... - asked by R Hall (28 votes), answered by MarcoB (29 votes) —————————- [How to tell Mathematica that certain variables are real/imaginary, integer-valued, etc] http://mathematica.stackexchange.com/questions/66273/how-to-tell-mathematica-that-certain-variables-are-real-imaginary-integer-value I’m trying to expedite some quantum mechanical calculations by running them through Mathematica. Expectation values and stuff like that. When I say, for example, u[x_] := Sqrt[2/L] * Sin[Pi * n * x / ... - asked by Matthew Brunetti (8 votes), answered by SquareOne (6 votes) ================================== Can you answer these? ================================== [How to Inset a legend in GeoGraphics with Scaled LegendMarkerSize?] http://mathematica.stackexchange.com/questions/130060/how-to-inset-a-legend-in-geographics-with-scaled-legendmarkersize I have a GeoGraphics where I am using Scaled in PointSize to include size information. I want to Inset a PointLegend that describes the sizes of the points. Outside of GeoGraphics I can do this by ... - asked by Edmund (2 votes) —————————- [NumberLinePlot with Exponential] http://mathematica.stackexchange.com/questions/129938/numberlineplot-with-exponential I have: Clear[f, x] f[x_] = Exp[1/x] Now, the question is "where is the derivative negative?" I managed to get the Reduce command to work by adding Reals. Reduce[f[x] &lt; 0, x, Reals] Which ... - asked by David (3 votes) —————————- [Detect numbers on the image] http://mathematica.stackexchange.com/questions/129821/detect-numbers-on-the-image How to detect numbers on the following image I tried: img=Import["http://imgur.com/TDbn7sB.png"] set = ImagePartition[img, Scaled[{1/20, 1/5}]] // Flatten then I tried Classify[] but it ... - asked by vito (3 votes) 30 Tuesday, October 25, 2016 ================================== Top new questions this week: ================================== [How to improve this plot?] http://mathematica.stackexchange.com/questions/129426/how-to-improve-this-plot In general, the quality of Mathematica graphics is beyond praise. However, the output of Plot3D command is somewhat unexpected in the following code. Let’s solve the Dirichlet problem for the ... - asked by user64494 (11 votes), answered by Simon Woods (16 votes) —————————- [Neural Networks: Does Mathematica (v11) experimental code support state-of-art Models?] http://mathematica.stackexchange.com/questions/129469/neural-networks-does-mathematica-v11-experimental-code-support-state-of-art-m Mathematica made a big step implementing Neural Networks. I checked some examples for deep learning (ChainNet), also the related link. I see that model structures such as LaNet can be developed. ... - asked by s.s.o (10 votes), answered by Alexey Golyshev (8 votes) —————————- [Converting Game of Life images to lists] http://mathematica.stackexchange.com/questions/129135/converting-game-of-life-images-to-lists I want to convert images of GoL configurations into binary matrices to run in Mathematica’s CellularAutomaton. I know that there’s a collection of GoL patterns in http://conwaylife.com and other ... - asked by andandandand (10 votes), answered by C. E. (5 votes) —————————- [JDBC-to-ODBC bridge gone. How to connect to SQL Server now in case of Windows Authentication?] http://mathematica.stackexchange.com/questions/129160/jdbc-to-odbc-bridge-gone-how-to-connect-to-sql-server-now-in-case-of-windows-au Connecting to our corporate SQL servers using JDBC never worked for me, perhaps related to the Windows Authentication method that is necessary in our network. However, I found out that configuring the ... - asked by Sjoerd C. de Vries (8 votes), answered by Sjoerd C. de Vries (6 votes) —————————- [How to speed up calculations on big symbolic matrices?] http://mathematica.stackexchange.com/questions/129465/how-to-speed-up-calculations-on-big-symbolic-matrices this is my first time posting something on a community of the StackExchange platform, so please feel free to correct me if I’m doing something wrong. :) Additionally you should probably know that I’m ... - asked by TSwift (8 votes) —————————- [How do I ’Join’ two Structured Datasets?] http://mathematica.stackexchange.com/questions/129116/how-do-i-join-two-structured-datasets Consider the following Datasets dsCompetitions with fields ”id”,”name”,”eventTypeId” dsEventTypes with fields ”id”, ”name” I want to join the datasets as follows using SQL pseudocode: SELECT ... - asked by nilo de roock (8 votes), answered by rcollyer (7 votes) —————————- [Why isn’t Orderless an Attribute of And?] http://mathematica.stackexchange.com/questions/129415/why-isnt-orderless-an-attribute-of-and In standard logic And is a commutative operator. Still, in Mathematica, And doesn’t have the Orderless attribute: Attributes[And] (* {Flat,HoldAll,OneIdentity,Protected} *) This may have not been ... - asked by Soldalma (7 votes), answered by JHM (6 votes) ================================== Greatest hits from previous weeks: ================================== [Programming the fiver game] http://mathematica.stackexchange.com/questions/120959/programming-the-fiver-game Obviously, even if I ask a lot of question I am, obviously, still a dummy!!!! I want to program the fiver game. It’s a very simple game played solitary on a the rule is elementary : if ... - asked by cyrille.piatecki (12 votes), answered by Mr.Wizard (19 votes) —————————- [How to make an inkblot?] http://mathematica.stackexchange.com/questions/3345/how-to-make-an-inkblot How to effectively create a polygon that looks like a realistic inkblot? So far, I could come up with this (borrowing from Ed Pegg Jr.’s Rorschach demonstration): RandomBlot[num_, opts___] := ... - asked by István Zachar (83 votes), answered by Sjoerd C. de Vries (46 votes) ================================== Can you answer these? ================================== [Counting the occurences of entries in a dataset columnwise] http://mathematica.stackexchange.com/questions/129459/counting-the-occurences-of-entries-in-a-dataset-columnwise Consider a dataset with some rows and considerably less columns (eg something like 10x3). Assume that the contents of the dataset cells are integers from some conveniently chosen range (eg 1 through ... - asked by user42582 (1 vote) —————————- [List, Association, and Dataset, according to what principles to choose which one to use?] http://mathematica.stackexchange.com/questions/129081/list-association-and-dataset-according-to-what-principles-to-choose-which-one List, Association and Dataset are three ’objects’ that can be used to store data in MMA. So when or under what conditions for one to decide to use each of them? - asked by Alexander Zeng (2 votes) —————————- [How to ArrayFlatten some matrix which have repeated element] http://mathematica.stackexchange.com/questions/129153/how-to-arrayflatten-some-matrix-which-have-repeated-element I have many such matrices(whose dimension are all 3*3.) like: list1={{0,3,0},{4,1,2},{0,5,0}}; list2={{0,6,0},{1,2,8},{0,7,0}}; list3={{0,1,0},{9,5,7},{0,11,0}}; list4={{0,2,0},{5,7,10},{0,12,0}}; ... - asked by yode (3 votes) 31 Tuesday, October 18, 2016 ================================== Top new questions this week: ================================== [Why removing a function and defining it on the same line does not work?] http://mathematica.stackexchange.com/questions/128818/why-removing-a-function-and-defining-it-on-the-same-line-does-not-work Why do the two pieces of code below yield rather different results? The only difference is that in the first one the function definition is in the same line as the Remove command while in the second ... - asked by Fernando Saldanha (17 votes), answered by dan7geo (16 votes) —————————- [House of Santa Claus] http://mathematica.stackexchange.com/questions/128741/house-of-santa-claus The house of Santa Claus is an old German drawing game for small children. You have to draw a house in one line. You must not lift your pencil while drawing.\color{red}{\text{You must not repeat a  ...

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[how to get cell boundaries in the image] http://mathematica.stackexchange.com/questions/128596/how-to-get-cell-boundaries-in-the-image

I have a microscope image of some animal tissue and wish to get the contours for all the cells that are present in the image. the cells are connected to the neighbouring cells via these contours. At ...

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[Numerically solve the initial value problem for the 1-D wave equation] http://mathematica.stackexchange.com/questions/128516/numerically-solve-the-initial-value-problem-for-the-1-d-wave-equation

I want to solve the standard 1-dimensional wave equation using NDSolve (for ) with the following conditions:

cond1 = Piecewise[{{1 - Abs[x - 1], Abs[x - 1] &lt; 1}, {0, Abs[x  ...

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[Dataset Processing: efficient ways to clean and merge sets for Life Sciences] http://mathematica.stackexchange.com/questions/128519/dataset-processing-efficient-ways-to-clean-and-merge-sets-for-life-sciences

Dataset Processing (for Life Sciences)

Note: a related, but distinct task is posted here ID Swapping: Efficient use of a reference table to convert ID values.

A common task, at least for me, ...

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[Rotations of a number] http://mathematica.stackexchange.com/questions/128666/rotations-of-a-number

If we start with a number like 1234 and produce the following sum 1234 + 123 + 12 + 1 = 1370.

If we are given the 1370 can I retrieve the 1234? A similar question was migrated over to the Math.SE ...

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[What’s wrong with the Sum function?] http://mathematica.stackexchange.com/questions/128534/whats-wrong-with-the-sum-function

Here are the codes:

f[n_]:=Sum[1,{K,0,n},{M,0,n-K},{La,0,K},{Lb,0,n-K-M},{Lc,0,M}]//Simplify

g[n_]:=Sum[1,{La,0,n},{Lb,0,n-La},{Lc,0,n-La-Lb},{K,La,n-Lb},{M,Lc,n-K-Lb}]//Simplify

f[x]/.x-&gt;5

...

================================== Greatest hits from previous weeks: ==================================

[Creating legends for plots with multiple lines?] http://mathematica.stackexchange.com/questions/4025/creating-legends-for-plots-with-multiple-lines

So I have a graph with multiple lists, for e.g.

data = {{1,2}, {3,4}, {3,5}, {2,3} . . .}

If I then do ListLinePlot[Table[{#1,Log[b,#2]}&amp;@@@data, {b,1,10,2}]] I have
no way to generate a legend  ...

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[Exporting graphics to PDF - huge file] http://mathematica.stackexchange.com/questions/1542/exporting-graphics-to-pdf-huge-file

I want to draw some basic surfaces, export them to PDF and include them in a LaTeX file. I create a simple 3D graphics object, for instance with

ParametricPlot3D[{r Cos[\[Theta]], r Sin[\[Theta]],  ...

================================== Can you answer these? ==================================

[Parallelizing code, any tips?] http://mathematica.stackexchange.com/questions/128905/parallelizing-code-any-tips

I have access to a Linux cluster and I’m trying to use Parallelize to run the above bellow faster, but whenever I try to place Parallelize in any other parts, besides the loop, where I think it may ...

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[Does Reduce have problems with greek symbols that lead to wrong results?] http://mathematica.stackexchange.com/questions/128965/does-reduce-have-problems-with-greek-symbols-that-lead-to-wrong-results

I call Reduce on the following simple system of inequalities

e = ((-4 + Sqrt[(-2 + λ)^2] + 3 λ) Log[p] + 4 λ Log[β])/(2 λ);
Reduce[e &gt; 0 &amp;&amp; 1 &gt; λ &gt; 0 &amp;&amp; 1 &gt; p &gt; 0  ...

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[Full screen image in slideshow?] http://mathematica.stackexchange.com/questions/128875/full-screen-image-in-slideshow

Is it possible to make an image fill up and entire slide in a slideshow notebook so that there are no cell brackets or any white space around it at all (when viewed in presentation mode of course)?

- asked by M.R. (1 vote)

32 Tuesday, October 11, 2016

==================================
Top new questions this week:
==================================

[How to programmatically play an Audio object?] http://mathematica.stackexchange.com/questions/128147/how-to-programmatically-play-an-audio-object

A Sound object can be programmatically played using EmitSound. Example:

snd = ExampleData[{"Sound", "AltoFlute"}];

Button["Play!", EmitSound[snd]]

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[TreePlot does not give a ”binary-looking” tree for a binary tree] http://mathematica.stackexchange.com/questions/128323/treeplot-does-not-give-a-binary-looking-tree-for-a-binary-tree

I use the following code to generate a binary tree with root 1.

TreePlot[{1 -&gt; 2, 1 -&gt; 3, 2 -&gt; 4, 2 -&gt; 5, 3 -&gt; 6, 3 -&gt; 7, 4 -&gt; 8,
4 -&gt; 9, 5 -&gt; 10, 5 -&gt; 11, 6 -&gt;  ...

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[Partition array without unpacking] http://mathematica.stackexchange.com/questions/128133/partition-array-without-unpacking

What is the simplest way to partition a list into equal-length sublists, allow the last sublist to be shorter of necessary, and avoid unpacking?

Partition doesn’t usually unpack:

arr = RandomReal[1,  ...

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[Creating a simple Dock Cell that Fades In when Cursor Hover Over It] http://mathematica.stackexchange.com/questions/128025/creating-a-simple-dock-cell-that-fades-in-when-cursor-hover-over-it

I like to create dock cells, that enhance the look of my notebooks. Do you know of a simple way to get the functionality in iBooks shown below in the video. I want the dock cell in Mathematica to ...

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[Why are Exp[3] and 2 treated differently within Complex?] http://mathematica.stackexchange.com/questions/128211/why-are-exp3-and-2-treated-differently-within-complex

Why doesn’t the last command below split the complex number into its real and imaginary parts?

Complex[2,2]
(* 2 + 2 I *)
Complex[N[Exp[3]], N[Exp[3]]]
(* 20.0855 + 20.0855 I *)
...

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[KeyDrop does not respect Key in V11] http://mathematica.stackexchange.com/questions/128171/keydrop-does-not-respect-key-in-v11

KeyDrop[&lt;|a -&gt; 1|&gt;, Key[a]]

&lt;|a -&gt; 1|&gt;

KeyTake[&lt;|a -&gt; 1|&gt;, Key[a]]

&lt;||&gt;

closely related but not the same: Unexpected behavior of KeyTake

Are there any ...

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[Strategies for creating 3D text] http://mathematica.stackexchange.com/questions/128412/strategies-for-creating-3d-text

I am interested in using Mathematica to create 3D text for printing. I stumbled upon this answer which works very well in a slightly modified form:

text3D[text_String, mult_] := ListPlot3D[
...

================================== Greatest hits from previous weeks: ==================================

[Is it possible to export the equations from Mathematica to MATLAB?] http://mathematica.stackexchange.com/questions/14035/is-it-possible-to-export-the-equations-from-mathematica-to-matlab

Is it possible to export the output expressions from Mathematica computations (e.g., equations) in valid MATLAB syntax?

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[Labeling individual curves in Mathematica] http://mathematica.stackexchange.com/questions/4444/labeling-individual-curves-in-mathematica

I need to create a plot for export and inclusion in a report. Is there a better way to label curves than PlotLegends? From what I’ve read and my personal experience, PlotLegends is pretty bad.

Is ...

================================== Can you answer these? ==================================

[Help: Reclassify] http://mathematica.stackexchange.com/questions/128194/help-reclassify

Is it possible to improve the current ClassifierFunction with more training data without running the previous training again?

In this way i will be able to deal with very large datasets in chunks.

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[Pattern matching problem in version 11.01] http://mathematica.stackexchange.com/questions/128247/pattern-matching-problem-in-version-11-01

Consider this simple example:

p1 = ListPlot3D[
Table[Sin[j^2 + i], {i, 0, Pi, Pi/5}, {j, 0, Pi, Pi/5}],
Mesh -&gt; None, Axes -&gt; False, Boxed -&gt; False, ColorFunction -&gt; Hue];
p2 =  ...

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I am trying to learn CUDA and start from the help examples.
It turnes out that CPU calculation is much faster for
matrix sizes &lt; 3200 than CUDA, while CUDADot gives the error for sizes > 3300. I  ...

33 Tuesday, October 4, 2016

==================================
Top new questions this week:
==================================

[UI performance with large image data] http://mathematica.stackexchange.com/questions/127523/ui-performance-with-large-image-data

Some days ago, I built a small program for some of my colleagues to analyse cell images. One minor part of the user interface was the selection of the region of interest. The images are large and need ...

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[Transform sphere to an ellipse in ] http://mathematica.stackexchange.com/questions/127645/transform-sphere-to-an-ellipse-in-r2

In Lay’s Linear Algebra and Its Applications textbook, he defines the matrix

and claims that the transformation ...

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[Did Fibonacci slow down?] http://mathematica.stackexchange.com/questions/127876/did-fibonacci-slow-down

For Fibonacci numbers we have a nice formula:

We can implement that in Mathematica:

a[n_]:=  ...

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[I would like to create a fractal by copying, scaling and rotating the initial element] http://mathematica.stackexchange.com/questions/127458/i-would-like-to-create-a-fractal-by-copying-scaling-and-rotating-the-initial-el

I want to create a fractal, which looks like this:

This is rule 150R, which can be found in NKS, page 439.

However, instead of using a cellular automaton, I want to create this fractal from a ...

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[Mathematica + Pythonika on the Raspberry pi] http://mathematica.stackexchange.com/questions/127802/mathematica-pythonika-on-the-raspberry-pi

Due to the high availability of python code for the rpi, I’m trying to call python functions from Mathematica. I know that pythonika works well on OS X, but I can’t compile it on the Raspberry pi.

...

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[How to map and sum a list fast?] http://mathematica.stackexchange.com/questions/127658/how-to-map-and-sum-a-list-fast

The following takes a lot of memory and is slow:

Timing[Total[Map[#^2 &amp;, Range[1, 100000000]]]]

I suspect this is because it first calculates and stores the whole list of squared numbers and ...

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[Implementing the Biham–Middleton–Levine traffic model as CellularAutomaton] http://mathematica.stackexchange.com/questions/127821/implementing-the-biham-middleton-levine-traffic-model-as-cellularautomaton

In an attempt to understand how to make rules for CellularAutomaton[], I set out to try to implement the Biham–Middleton–Levine traffic model.

It is a 2D, k=3 model with a 3x3 neighborhood, so the ...

================================== Greatest hits from previous weeks: ==================================

[What are the most common pitfalls awaiting new users?] http://mathematica.stackexchange.com/questions/18393/what-are-the-most-common-pitfalls-awaiting-new-users

As you may already know, Mathematica is a wonderful piece of software. However, it has a few characteristics that tend to confuse new (and sometimes not-so-new) users. That can be clearly seen from ...

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[How to make this beautiful animation] http://mathematica.stackexchange.com/questions/112700/how-to-make-this-beautiful-animation

How to make an animation of following gif in Mathematica?

Edit: The animation shown above was created by Charlie Deck in processing.

And how to make 3D analog?

I tried first few steps

line = ...

================================== Can you answer these? ==================================

[VectorPlot3D broken in Mathematica 11.0.1?] http://mathematica.stackexchange.com/questions/127724/vectorplot3d-broken-in-mathematica-11-0-1

Here is what I get when simply evaluating the example in the documentation:

This is on Win7 x64. I can see some vectors if I do something like

VectorPlot3D[{1, 1, 1}, {x, -1, 1}, {y, -1, 1}, {z,  ...

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[Least squares approximation] http://mathematica.stackexchange.com/questions/127806/least-squares-approximation

I have data points which is mydata = 0, 0, 1, 1, 2, 0;

From this data, I need to do the least squares approximation by using Bernstein polynomials to produce a set of Bezier points. Before ...

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[Matching key-value pair without converting to List in KeyValueMap] http://mathematica.stackexchange.com/questions/127860/matching-key-value-pair-without-converting-to-list-in-keyvaluemap

I frequently use this method with KeyValueMap in order to match and refer to named parts (ie, ”myKey”, ”myValue”)

EDIT: to refer to named parts in the function f without an external function ...

- asked by alancalvitti (1 vote)

34 Tuesday, September 27, 2016

==================================
Top new questions this week:
==================================

[Should I always be using Module in functions unless I explicitly want global variables?] http://mathematica.stackexchange.com/questions/126877/should-i-always-be-using-module-in-functions-unless-i-explicitly-want-global-var

I define functions a ton. In the past, I’ve mostly just defined my functions like:

myFunc[var1_]:=(
var2=var1^2;
Return@var2;
)

And I haven’t run into too much trouble. If I wanted to be really ...

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[Why this real integral yields imaginary results?] http://mathematica.stackexchange.com/questions/127301/why-this-real-integral-yields-imaginary-results

Integrate[(y - y^2 + x - x^2 + 2*x*y)/(1 - x - y),{x,0,1},{y, 0, 1}]

The above integral yields -1-4Iπ/3 in Mathematica. Since the integrand is real (although divergent at some points), how does ...

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[Would it be a good idea to use Failure and FailureQ in own code] http://mathematica.stackexchange.com/questions/126908/would-it-be-a-good-idea-to-use-failure-and-failureq-in-own-code

Since version 10 (at least 10.0.2 but I think 10.0.0) there is Failure and since version 10.2 there is also FailureQ. As often the documentation is somewhat vague and says ”Failure is generated by ...

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[Display grayscale image as 3d plot] http://mathematica.stackexchange.com/questions/127210/display-grayscale-image-as-3d-plot

How to build 3d plot of grayscale image where x,y - pixel coordinates, z - pixel intensity?

I tried ListPlot3D[ImageData[image]], but ImageData gives just intensities. I suppose a possible solution ...

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[Automatically draw ellipsoids around groups of select points] http://mathematica.stackexchange.com/questions/126899/automatically-draw-ellipsoids-around-groups-of-select-points

Suppose you have a ListPlot, and there are certain points you wish to emphasize belong to particular group. I would like to make a function that automatically draws an ellipsoid around a select group ...

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[Enter colors directly into notebook?] http://mathematica.stackexchange.com/questions/127245/enter-colors-directly-into-notebook

In Mathematica notebook interface, you can evaluate:

In[1]:= Black

and you get a colored squared representing the color. Then I can copy and paste this color square and use it as input, like so:

...

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[Large Dataset query fails if column contains Missing] http://mathematica.stackexchange.com/questions/126851/large-dataset-query-fails-if-column-contains-missing

In version 11.0 (Win 8.1 Pro) a query on a large Dataset for a column that contains Missing fails most unceremoniously.

With

If[Last@# == 10000,  ...

================================== Greatest hits from previous weeks: ==================================

[Is there an open source implementation of Mathematica-the-language?] http://mathematica.stackexchange.com/questions/4454/is-there-an-open-source-implementation-of-mathematica-the-language

I’ve seen questions before such as ”What is the best open-source equivalent for Mathematica?”, but that specific question (and that line of inquiry in general) cares more about the computer algebra ...

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[What are the most common pitfalls awaiting new users?] http://mathematica.stackexchange.com/questions/18393/what-are-the-most-common-pitfalls-awaiting-new-users

As you may already know, Mathematica is a wonderful piece of software. However, it has a few characteristics that tend to confuse new (and sometimes not-so-new) users. That can be clearly seen from ...

================================== Can you answer these? ==================================

[Enable file completion by default?] http://mathematica.stackexchange.com/questions/127203/enable-file-completion-by-default

File completions work for Import and Get but not with &lt;&lt; syntax as you can see:

Is there some way to enable this?

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[Trouble with NIntegrate strategy ”DoubleExponentialOscillatory” when trying to ListPlot the results] http://mathematica.stackexchange.com/questions/126832/trouble-with-nintegrate-strategy-doubleexponentialoscillatory-when-trying-to-l

Can someone point me in the right direction? I ’ve been puzzling with this for weeks...

I have a huge function (of the form f(y,ξ)sin(ξx) ) to integrate in ξ in region (0, Infinity) and I use ...

- asked by George13 (1 vote)

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[Using an umlaut for a keyboard shortcut] http://mathematica.stackexchange.com/questions/126909/using-an-umlaut-for-a-keyboard-shortcut

How can I define a keyboard shortcut based on an umlaut like ü?

KeyEvent in KeyEventTranslations.tr doesn’t seem to register umlaut based keyboard inputs. For example, after adding

...

35 Tuesday, September 20, 2016

==================================
Top new questions this week:
==================================

Dynamic and the related functionality strikes me as a very unique way to build quick and dirty personal GUIs which are great for experimentation.

I suspect that this is only because of my lack of ...

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[Bug with iterated With: Referring to function arguments invalidates previous definitions] http://mathematica.stackexchange.com/questions/126425/bug-with-iterated-with-referring-to-function-arguments-invalidates-previous-def

G[x_] := With[{a = 0}, With[{b = x}, a]]
G @ 0
F[x_] := With[{a = 0}, {b = x}, a]
F @ 0

gives

0
a

I would expect both to behave exactly the same.

It seems that referring to the parameter ...

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[How to quickly find all grid cells covered by a geometric region?] http://mathematica.stackexchange.com/questions/126346/how-to-quickly-find-all-grid-cells-covered-by-a-geometric-region

I’m trying to compute a complete set of unit grid cells (”pixels”) which a geometric region covers at least partially. I have constructed a method that produces correct results:

With[{reg =  ...

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[Cone Trees: map a graph onto geometric shape] http://mathematica.stackexchange.com/questions/126657/cone-trees-map-a-graph-onto-geometric-shape

Question

Is it possible to map a Graph onto a geometric object such as a Cone?

Motivation

Visualizing large trees can be tedious, especially when limited to the confines of the printed page. One ...

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[Evaluate expressions within Vim] http://mathematica.stackexchange.com/questions/126449/evaluate-expressions-within-vim

I want to be able to type a quick Mathematica expression, such as

550/3. (e.g. common math),
Sum[i, {i, 0, n}]//TeXForm//ToString (e.g. writing LaTeX document), or
{55, 1, 10, 40, 9}//Total (e.g.  ...

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[Non newtonian calculus] http://mathematica.stackexchange.com/questions/126730/non-newtonian-calculus

I would like to define a new operator say

I think it must be done with an upvalue but I do not know how to ...

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[How could I perform Region or Polygon Clipping in mathematica?] http://mathematica.stackexchange.com/questions/126463/how-could-i-perform-region-or-polygon-clipping-in-mathematica

I need to clip several regions reg: like Rectangle, Polygon, Ellipse... My goal isn’t to plot the clipping but to have a representation of each new region.

I searched if there was any package or ...

================================== Greatest hits from previous weeks: ==================================

[Beautiful dance of the Earth and Venus around the sun] http://mathematica.stackexchange.com/questions/115358/beautiful-dance-of-the-earth-and-venus-around-the-sun

I have seen very nice dynamic graphics created by users of Ma. I would like to get help whether the following graphics can be created using Ma. I was not able to create the dynamic picture here. ...

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[How can this image (optical illusion) be created with Mathematica?] http://mathematica.stackexchange.com/questions/24148/how-can-this-image-optical-illusion-be-created-with-mathematica

I came across this image the other day:

and liked the sensation of it pulsing. I was wondering if anyone would know how to create something similar with Mathematica (without the Pink Floyd Dark ...

================================== Can you answer these? ==================================

I have a question about subscript policy. For some reason I have some variables called Subscript[q, 1], Subscript[q, 2], Subscript[q, 3] and Subscript[q, 4]. I know that I could have called them in ...

- asked by MaPo (1 vote)

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[Difficult R installation] http://mathematica.stackexchange.com/questions/126501/difficult-r-installation

In RLink and R v3.0.1?, there is an update which say that the problem of the lack of compatibility between the expected version and the last version of R has been settled for version 10.0.1 of ...

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[Does Overflow[] poison session for N?] http://mathematica.stackexchange.com/questions/126337/does-overflow-poison-session-for-n

Summary: once Mathematica hits an overflow error, N[] appears to break for even simple calculations.

RealDigits[N[Sqrt[2]-1,10^8]];

I was impressed that Mathematica ran the code above (first 100 ...

36 Tuesday, September 13, 2016

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Top new questions this week:
==================================

[Drawing picture with straight line (Petros Vrellis’s Art)] http://mathematica.stackexchange.com/questions/126161/drawing-picture-with-straight-line-petros-vrelliss-art

I am trying to extend Writing a word with straight lines for any picture/image. I guess the basic idea is to find a set of points in the image region and then draw random lines through them. Let’s ...

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[How do I count the most used functions across a set of notebooks?] http://mathematica.stackexchange.com/questions/125960/how-do-i-count-the-most-used-functions-across-a-set-of-notebooks

WolframLanguageData allows us to view the most used functions across several code bases like Wolfram Alpha, the documentation, or Stack Exchange. I was curious about the results for my own collection ...

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ReplaceAll[expr, rule] and ReplaceRepeated[expr, rule] search through all subexpressions of expr applying rule where they match.

Are there built-in Mathematica functions that do the same thing, ...

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[Is this a bug in Replace?] http://mathematica.stackexchange.com/questions/125771/is-this-a-bug-in-replace

Consider the following minimal examples. This one works as expected, replacing trees starting from the inside with a numerical value.

ClearAll[tree];
x = tree["A", {tree["B", {1, 2}], 3}];
Replace[x,  ...

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[How do I test if a variable represents a sequence?] http://mathematica.stackexchange.com/questions/126193/how-do-i-test-if-a-variable-represents-a-sequence

I created a variable that represents a sequence:

mySeq = Sequence[1, 2, 3];

I wanted to use that variable as an argument for some functions. But I got in trouble. For example,

FreeQ[mySeq, 1]

...

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[How to calculate the numerical integral more efficiently?] http://mathematica.stackexchange.com/questions/126001/how-to-calculate-the-numerical-integral-more-efficiently

Rencently, I ecountered the following numerical intergral:

\begin{cases}
\mathbf I_1=\displaystyle \int_{t}\mathbf N {\mathbf N}^{\text T}{\rm d}t\\
\mathbf I_2=\displaystyle \int_{t}\mathbf N’’

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[Optional argument that can be completely omitted?] http://mathematica.stackexchange.com/questions/125929/optional-argument-that-can-be-completely-omitted

I am writing a simple function return similar words.

Clear[similarWords]
similarWords[string_]:=Nearest[WordList[],string]

I want to add another argument n which is optional. When it presents, it ...

================================== Greatest hits from previous weeks: ==================================

[Writing a word with straight lines] http://mathematica.stackexchange.com/questions/113403/writing-a-word-with-straight-lines

Here is an interesting way to write a word: (it is from a poster for the International Museum Day 2006; I believe it even won an award at an international design competition)

by Boris Ljubicic. ...

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[Exporting graphics to PDF - huge file] http://mathematica.stackexchange.com/questions/1542/exporting-graphics-to-pdf-huge-file

I want to draw some basic surfaces, export them to PDF and include them in a LaTeX file. I create a simple 3D graphics object, for instance with

ParametricPlot3D[{r Cos[\[Theta]], r Sin[\[Theta]],  ...

================================== Can you answer these? ==================================

[Finding covariation between datasets] http://mathematica.stackexchange.com/questions/125963/finding-covariation-between-datasets

For me this is a very fascinating problem, which I however lack the ability to deal with as well as the nomenclature to describe properly. (Please feel free to edit the title).

The conditions are the ...

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[Wolfram math on windows using PBSPro cluster] http://mathematica.stackexchange.com/questions/125861/wolfram-math-on-windows-using-pbspro-cluster

A user wishes to use math application running on our PBSPpro cluster.

Our cluster is accessible to linux users, running qsub to submit their jobs.

We have math10.4 for our cluster users, with ...

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[Unexpected view of a vectorial triad in a combination of a Plot3D with Graphics3D] http://mathematica.stackexchange.com/questions/126168/unexpected-view-of-a-vectorial-triad-in-a-combination-of-a-plot3d-with-graphics3

I am preparing an illustration for the lecture on differential geometry. In this demonstration I am illustrating the Monge parameterization of the surface:

R = {xx, yy, 55 + xx^2 - xx^3 - 2*yy^2}; (*  ...

37 Tuesday, September 6, 2016

==================================
Top new questions this week:
==================================

[The Game of Hex in Mathematica] http://mathematica.stackexchange.com/questions/125460/the-game-of-hex-in-mathematica

The Game of Hex is a game originally developed by Nash, and it’s rules are very simple. You start out with a hexagonal tiling of some size:

There are two players. The game is in turns, and every ...

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[Visualize fraction] http://mathematica.stackexchange.com/questions/125209/visualize-fraction

I would like to visualize a fraction like the square root of 2 with Mathematica. I found this visualization of Pi in the internet and wonder how this would be done with Mathematica. The image shows ...

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I have been trying to code monad-like structures in Mathematica. However, I am facing some issues and I was wondering if anyone can help. I will give some background in the hope it can be useful to ...

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[paclets updating awareness and tracking] http://mathematica.stackexchange.com/questions/125199/paclets-updating-awareness-and-tracking

It turns out that some silent updating may be done in our computers with paclets. See for example here. How are we aware that something has been changed ? Can we track updating/versions of paclets ?

...

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[Is it important that the front-end has a built-in parser?] http://mathematica.stackexchange.com/questions/125180/is-it-important-that-the-front-end-has-a-built-in-parser

The Notebook interface has a parser that seems aware of all operator-precedences, allowing us to step through the expressions (rather: Box-) hierarchy with Ctrl+.

This is extremely convenient, saving ...

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[Package organization] http://mathematica.stackexchange.com/questions/125579/package-organization

When writing a Mathematica package Foo, with functions f1, f2 and f3, one can use the template:

BeginPackage["Foo"];

f1::usage = "f1[] ....";

f2::usage = "f2[] ....";

Begin["Private"];

f1[]:=  ...

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[ClearAll::clloc - ”Cannot clear local variable x” in Block[x, ...] - why?] http://mathematica.stackexchange.com/questions/125251/clearallclloc-cannot-clear-local-variable-x-in-blockx-why

Block[{x}, ClearAll@x]

ClearAll::clloc: Cannot clear local variable x.

The documentation just says

An error occurs because ClearAll cannot be used with a local variable in Block:

and

...

================================== Greatest hits from previous weeks: ==================================

[Beautiful dance of the Earth and Venus around the sun] http://mathematica.stackexchange.com/questions/115358/beautiful-dance-of-the-earth-and-venus-around-the-sun

I have seen very nice dynamic graphics created by users of Ma. I would like to get help whether the following graphics can be created using Ma. I was not able to create the dynamic picture here. ...

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[How can I draw the Olympic rings with Mathematica?] http://mathematica.stackexchange.com/questions/8885/how-can-i-draw-the-olympic-rings-with-mathematica

How can I draw the 5 interlocking Olympic rings with Mathematica?

(SVG version)

Edit

Hard choice, but some pretty cool answers here. I didn’t have 3D answers in mind when I posted the question, ...

================================== Can you answer these? ==================================

[Creating notebooks with specific options being editable but not saveable] http://mathematica.stackexchange.com/questions/125676/creating-notebooks-with-specific-options-being-editable-but-not-saveable

The goal

is to create a notebook whose options, when the notebook is opened, are fixed regardless of edits done to the notebook.

E.g. WindowSize -&gt; Automatic and WindowMargins -&gt; 30 should be  ...

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[Possible bug with Dataset formatting for incompatible shapes and Missing] http://mathematica.stackexchange.com/questions/125689/possible-bug-with-dataset-formatting-for-incompatible-shapes-and-missing

Bug introduced in 11.0.0

The problem:

{&lt;|"a" -&gt; Range[5]|&gt;, &lt;|"a" -&gt; Missing["KeyAbsent", "a"]|&gt;} // Dataset

More detailed example shows that 5 is the magic number and ...

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[TensorContract applied twice] http://mathematica.stackexchange.com/questions/125588/tensorcontract-applied-twice

I have a very simple question about TensorContract command: I’m declaring

$Assumptions = {T \[Element] Arrays[{4, 4, 4, 4}], a \[Element] Arrays[{4, 4}], b \[Element] Arrays[{4, 4}]}; so T is a ... - asked by MaPo (3 votes) 38 Tuesday, August 30, 2016 ================================== Top new questions this week: ================================== [How to make a Spherical Cow?] http://mathematica.stackexchange.com/questions/125043/how-to-make-a-spherical-cow Being a theoretical physicist, I always have a great respect for Spherical Cow. So I thought about making one myself. I am not sure how can I create (something considered to be the simplest!) this ... - asked by Sumit (29 votes), answered by andre (41 votes) —————————- [Unit Discovery: Is this some sort of a sick joke?] http://mathematica.stackexchange.com/questions/124745/unit-discovery-is-this-some-sort-of-a-sick-joke Alright, let’s have some fun here. I am essentially following the documentation by Wolfram, just looking at different quantities. N[UnitConvert[Quantity["earths gravity"]]] 9.80665m/(s)^2 Hmm, ... - asked by Pirx (26 votes), answered by Xavier (27 votes) —————————- [Remove noise from data] http://mathematica.stackexchange.com/questions/124928/remove-noise-from-data Hi, as you can see above I have some experimental data which has a large offset and shows clear noise fluctations around the tendency of the curve. I wanted to ask if someone could suggest me a ... - asked by Filipe (23 votes), answered by nikie (22 votes) —————————- [Q&A Mathematica v.11 Neural Networks: A comprehensive look at Layers, Net Functions, and pioneering into this [[experimental]] code] http://mathematica.stackexchange.com/questions/124977/qa-mathematica-v-11-neural-networks-a-comprehensive-look-at-layers-net-functi Motivation As Mathematica v.11 was released earlier this month with a host of new [[experimental]] functions and a limited number of examples on curated data that do not cover all layers, options, ... - asked by SumNeuron (20 votes), answered by Sebastian (12 votes) —————————- [Custom OpenerView with lazy evaluation] http://mathematica.stackexchange.com/questions/124892/custom-openerview-with-lazy-evaluation OpenerView can be nested to create a hierarchical structure such as this: One great aspect is that it remembers which lists are open and which are closed even after the parent has been closed and ... - asked by C. E. (16 votes), answered by C. E. (7 votes) —————————- [RNN in Mathematica?] http://mathematica.stackexchange.com/questions/124988/rnn-in-mathematica Recurrent neural network is an important part of machine learning and its improved version: LSTM network is widely applied, but Mathematica seemingly is in lack of these two features and in my ... - asked by Wjx (15 votes), answered by Taliesin Beynon (19 votes) —————————- [Pentagonal spiral in Mathematica] http://mathematica.stackexchange.com/questions/125007/pentagonal-spiral-in-mathematica I would like to plot an image of what I call a pentagonal spiral with Mathematica. A sample image of what I’d like to obtain is this (sorry for low-quality): My initial idea was to get some kind of ... - asked by bharb (14 votes), answered by Wjx (11 votes) ================================== Greatest hits from previous weeks: ================================== [Labeling individual curves in Mathematica] http://mathematica.stackexchange.com/questions/4444/labeling-individual-curves-in-mathematica I need to create a plot for export and inclusion in a report. Is there a better way to label curves than PlotLegends? From what I’ve read and my personal experience, PlotLegends is pretty bad. Is ... - asked by Tianxiang Xiong (44 votes), answered by Artes (37 votes) —————————- [How to make this beautiful animation] http://mathematica.stackexchange.com/questions/112700/how-to-make-this-beautiful-animation How to make an animation of following gif in Mathematica? Edit: The animation shown above was created by Charlie Deck in processing. And how to make 3D analog? I tried first few steps line = ... - asked by vito (45 votes), answered by C. E. (48 votes) ================================== Can you answer these? ================================== [WolframScript never exits (v11 only)] http://mathematica.stackexchange.com/questions/124667/wolframscript-never-exits-v11-only after updating to version 11, I came across a problem with the execution of package files via bash. The WolframScript program runs the entire code, but frequently it does not exit properly and as a ... - asked by fabio.hipolito (5 votes) —————————- [Representing inequalties with proper boundaries] http://mathematica.stackexchange.com/questions/124747/representing-inequalties-with-proper-boundaries I have a very simple problem: given an inequality, I’d like to represent it in a regional plot marking the boundary differently depending whether it belongs to the region or not. For example I’d like ... - asked by Geon (3 votes) —————————- [StringTemplate performance issue] http://mathematica.stackexchange.com/questions/125087/stringtemplate-performance-issue StringTemplate introduced in version 10 is very convenient in constructing formatted data. However, it seems to have a huge performance issue. Consider this example: data = RandomInteger[1, 100, ... - asked by xslittlegrass (5 votes) 39 Tuesday, August 23, 2016 ================================== Top new questions this week: ================================== [GeoPosition coordinates from Shape file (.SHP) with unknown Datum] http://mathematica.stackexchange.com/questions/124121/geoposition-coordinates-from-shape-file-shp-with-unknown-datum The City of Amsterdam supports an Open Data policy. Much information can be retrieved at the level of boroughs (stadsdelen). Unfortunately, GeoGraphics does not provide outlines of these smaller ... - asked by Romke Bontekoe (12 votes), answered by JasonB (8 votes) —————————- [Detecting collisions in FEM] http://mathematica.stackexchange.com/questions/124324/detecting-collisions-in-fem Say I want to study the deformation of a pitchfork when you have it fixed on the bottom and push one side. &lt;&lt; NDSolveFEM Ω = RegionDifference[Cuboid[{0, -5}, {1, 0}], Cuboid[{0.45, ... - asked by tsuresuregusa (12 votes) —————————- [Discovering crosswords] http://mathematica.stackexchange.com/questions/124552/discovering-crosswords I am trying to create a code that can identify the following terms: MATHEMATICA, STACK, EXCHANGE and USERS. list1={"M","S","T","A","S","I","S","X","X","T","R","X"}; list2={"A ","T ","H ","X ","R ","X ... - asked by Leandro Maciel de Carvalho (11 votes), answered by C. E. (15 votes) —————————- [29 Differential equations hang/not solved in version 11 compared to 10.4, looking for cause] http://mathematica.stackexchange.com/questions/124573/29-differential-equations-hang-not-solved-in-version-11-compared-to-10-4-lookin I run Kamke differential equations in version 11 and compared the result to version 10.4. Found 29 differential equations that are no longer solved in version 11. Actually v11 hangs on these, eating ... - asked by Nasser (11 votes) —————————- [Using predefined expressions as free variables in a pure function] http://mathematica.stackexchange.com/questions/124530/using-predefined-expressions-as-free-variables-in-a-pure-function I want to have a function value of an expression where some variables are solutions to some set of equations, with some values of parameters. I had an idea to use pure functions for that. However, ... - asked by Picek (10 votes), answered by Alexey Popkov (4 votes) —————————- [How to delete unnecessary resistances in a resistance network] http://mathematica.stackexchange.com/questions/124475/how-to-delete-unnecessary-resistances-in-a-resistance-network I’m still dealing with resistance network processing and got one problem left: how to delete unnecessary resistances? Background Let’s assume we are junior high students and know nothing about ... - asked by Wjx (10 votes), answered by Sascha (5 votes) —————————- [Object detection in a low contrast image] http://mathematica.stackexchange.com/questions/124060/object-detection-in-a-low-contrast-image I have a small dark object in the upper left corner of an image. How can I separate it from the noisy rest and determine its IntensityCentroid? The problem is that the objects intensity is not ... - asked by mrz (10 votes), answered by Svyatoslav Korneev (12 votes) ================================== Greatest hits from previous weeks: ================================== [Make a beautiful Moiré effect] http://mathematica.stackexchange.com/questions/112998/make-a-beautiful-moir%c3%a9-effect How do I make the following Moiré pattern? I tried: A = Plot[Table[n, {n, 1, 30}], {x, 0, 31}, GridLines -&gt; {Table[n, {n, 1, 30}], None}, GridLinesStyle -&gt; AbsoluteThickness[1.2], ... - asked by vito (23 votes), answered by gpap (34 votes) —————————- [Beautiful dance of the Earth and Venus around the sun] http://mathematica.stackexchange.com/questions/115358/beautiful-dance-of-the-earth-and-venus-around-the-sun I have seen very nice dynamic graphics created by users of Ma. I would like to get help whether the following graphics can be created using Ma. I was not able to create the dynamic picture here. ... - asked by ramesh (11 votes), answered by ubpdqn (6 votes) ================================== Can you answer these? ================================== [CapForm bugged in V11?] http://mathematica.stackexchange.com/questions/124591/capform-bugged-in-v11 It appears on my system (OSX 10.10.5) that CapForm isn’t behaving itself in V11. Initially I thought it was a problem with the combination of CapForm and VertexColors but it seems even weirder than ... - asked by Quantum_Oli (6 votes) —————————- [Linear tangent steering law and orbital insertion altitude] http://mathematica.stackexchange.com/questions/124489/linear-tangent-steering-law-and-orbital-insertion-altitude I’ve been trying to figure out how to build a rocket launch simulation that allows the user to specify the desired altitude at which a payload will be inserted into a stable circular orbit, but have ... - asked by AlexR (2 votes) —————————- [What is a ”generic case”?] http://mathematica.stackexchange.com/questions/124347/what-is-a-generic-case Introduction With this question I am coming back to a long-standing issue I have with Mma’s concept of a ”generically correct” result. The basic idea seems to be, vaguely, that if a result is true in ... - asked by Pirx (6 votes) 40 Tuesday, August 16, 2016 ================================== Top new questions this week: ================================== [Can Mathematica put these puzzle pieces together?] http://mathematica.stackexchange.com/questions/123993/can-mathematica-put-these-puzzle-pieces-together I have five DXF files with various geometric figures. Are squares with a different geometric shape in each DXF file... Four DXF files have a square with a different geometric shape on one side ... - asked by Leandro Maciel de Carvalho (17 votes), answered by kirma (11 votes) —————————- [How to monitor the process of Neural Network Learning] http://mathematica.stackexchange.com/questions/123684/how-to-monitor-the-process-of-neural-network-learning Main Problem I’m exploring the neural network in v11 and I would like to monitor the training progress in my own way instead of Mathematica’s default way. So my question is, how to do this ... - asked by Wjx (17 votes), answered by Taliesin Beynon (13 votes) —————————- [Changes to Coefficient function in v10.2] http://mathematica.stackexchange.com/questions/123565/changes-to-coefficient-function-in-v10-2 In the version Mathemaica 10.4, I am very surprised that the core function Coefficient has changed, e.g., Coefficient[3 x x + 8 y y - 24 x y, 2 x y] 0 In previous versions (e.g. v9.0.1, ... - asked by Orders (17 votes) —————————- [Unexpected behaviour from Table[]] http://mathematica.stackexchange.com/questions/124046/unexpected-behaviour-from-table The following code in Mathematica 11: iList = {i, -10, 10, 2}; Table[i, iList] produces this result: {i, i, i, i} Where in version 10 (and presumably earlier versions) it produced an error: ... - asked by Bruce Crawford (16 votes), answered by Szabolcs (15 votes) —————————- [Can Mathematica act like a web server?] http://mathematica.stackexchange.com/questions/123805/can-mathematica-act-like-a-web-server I have a Mathematica program that modifies images that I would like to make available for other people to use through the web. The input is only one parameter. So, for example, I could run it as a ... - asked by Tyler Durden (16 votes) —————————- [How to generate all possible orderless partitions of a list according to another list?] http://mathematica.stackexchange.com/questions/123835/how-to-generate-all-possible-orderless-partitions-of-a-list-according-to-another This question is hard to describe in plain text. So I will post an example and a working code (brute force) to illustrate. For example I have a list: {1, 2, 3, 4, 5} and a partition list {2, 2, 1}. I ... - asked by happy fish (15 votes), answered by Mr.Wizard (11 votes) —————————- [RandomPoint crashes kernel] http://mathematica.stackexchange.com/questions/123735/randompoint-crashes-kernel Bug introduced in Version 11.0 Reported as CASE:3686963, 12 Aug 2016 I attempted to determine whether the problem with RandomPoint identified in my answer to question 89384 had been fixed in ... - asked by bbgodfrey (12 votes), answered by ilian (6 votes) ================================== Greatest hits from previous weeks: ================================== [How to Plot an Infinite Series] http://mathematica.stackexchange.com/questions/14083/how-to-plot-an-infinite-series I want to sketch the graphs of for on the same axes. For , I input Plot[{1/2 + ... - asked by Vladimir (2 votes), answered by chris (9 votes) —————————- [How to make this beautiful animation] http://mathematica.stackexchange.com/questions/112700/how-to-make-this-beautiful-animation How to make an animation of following gif in Mathematica? Edit: The animation shown above was created by Charlie Deck in processing. And how to make 3D analog? I tried first few steps line = ... - asked by vito (45 votes), answered by C. E. (48 votes) ================================== Can you answer these? ================================== I wanted to print out the holidays in Germany in 2016: DayRange[DateObject[{2016, 1, 1}], DateObject[{2016, 12, 31}], "Holiday", HolidayCalendar -&gt; {"Germany", "Bavaria"}] The result list ... - asked by mrz (2 votes) —————————- [How to crawl some website needed username and password] http://mathematica.stackexchange.com/questions/123771/how-to-crawl-some-website-needed-username-and-password In version 11,if we want to crawl public website like wiki,we can do it like this: URLRead["https://en.wikipedia.org/wiki/Wiki", "Body"] But I don’t know how to crawl some website needed ... - asked by yode (4 votes) —————————- [NFourierTransform of an interpolating function] http://mathematica.stackexchange.com/questions/123800/nfouriertransform-of-an-interpolating-function I have an interpolating function called rs22 - a solution from NDSolve - which is defined from 0 to about 1 ms. rs22 is a function that reaches a non-zero equilibrium value. (only shown here up to ... - asked by Shiki (3 votes) 41 Tuesday, August 9, 2016 ================================== Top new questions this week: ================================== [PostScript-like drawing in Mathematica?] http://mathematica.stackexchange.com/questions/123289/postscript-like-drawing-in-mathematica To illustrate by example, construct an equilateral triangle in PostScript: 0 0 moveto %moveto origin 6 0 lineto %construct first line segment 6 0 translate %translate ... - asked by Alan (14 votes), answered by WReach (21 votes) —————————- [Efficiently exchange elements between two lists] http://mathematica.stackexchange.com/questions/123221/efficiently-exchange-elements-between-two-lists I have two lists with equal length, and I want to exchange the elements on every even positions. For example, {{1, 2, 3, 4, 5}, {6, 7, 8, 9, 10}} will return {{1, 7, 3, 9, 5}, {6, 2, 8, 4, 10}} ... - asked by happy fish (13 votes), answered by Kuba (12 votes) —————————- [Finite element simulation of Airy waves] http://mathematica.stackexchange.com/questions/122063/finite-element-simulation-of-airy-waves I am attempting to solve for waves on a water surface starting with a two dimensional solution. The equations are that the water must satisfy Laplace’s equation everywhere with a time dependent ... - asked by Hugh (13 votes), answered by user21 (10 votes) —————————- [How do you make a Neural Net?] http://mathematica.stackexchange.com/questions/123458/how-do-you-make-a-neural-net In the new Mathematica release (v11), NeuralNetworks is one of the new main features. However, the documentation isn’t that clear on what function should be used in a Net. The documentation on ... - asked by JHM (12 votes), answered by Searke (13 votes) —————————- [How to plot data by counties?] http://mathematica.stackexchange.com/questions/123324/how-to-plot-data-by-counties I’d like to plot county data as in this D3 example: Is there a way to do this with GeoGraphics, or at least to get path polygons per county and then plot them with different colors? The first ... - asked by M.R. (11 votes), answered by C. E. (9 votes) —————————- [Why are delayed definitions in scoping functions NOT documented?] http://mathematica.stackexchange.com/questions/122061/why-are-delayed-definitions-in-scoping-functions-not-documented As outlined here, := may be used in scoping constructs like With to give delayed definitions, but this is undocumented. This has been in the language since at least Mathematica 4.0. It is very ... - asked by Mr.Wizard (11 votes) —————————- [Shading under a curve with dots]http://mathematica.stackexchange.com/questions/123422/shading-under-a-curve-with-dots I plotted the function using the Plot command Plot[x^2, {x,-5,5}] I need to shade the area under the curve using a pattern (dots pattern), not using a solid color or a hue. Is it possible? ... - asked by James (10 votes), answered by JasonB (14 votes) ================================== Greatest hits from previous weeks: ================================== [General strategies to write big code in Mathematica?] http://mathematica.stackexchange.com/questions/109888/general-strategies-to-write-big-code-in-mathematica I think after six months of exposure to Mathematica and the Wolfram Language I am fairly OK with writing short codes and snippets. However, what are some general strategies to use in order to write ... - asked by Ali Hashmi (94 votes), answered by Leonid Shifrin (75 votes) —————————- [Where can I find examples of good Mathematica programming practice?] http://mathematica.stackexchange.com/questions/18/where-can-i-find-examples-of-good-mathematica-programming-practice I consider myself a pretty good Mathematica programmer, but I’m always looking out for ways to either improve my way of doing things in Mathematica, or to see if there’s something nifty that I haven’t ... - asked by J. M. (430 votes), answered by faysou (388 votes) ================================== Can you answer these? ================================== [Can I use Mathematica as a constraint solver?] http://mathematica.stackexchange.com/questions/123487/can-i-use-mathematica-as-a-constraint-solver I have been using SMT solvers for program analysis. Basically the idea is to translate x86 assembly code to SMT formulas and use the solver for automatic input test generation. There is a Microsoft ... - asked by Edgar (1 vote) —————————- [Why is this function slower after a simple change?] http://mathematica.stackexchange.com/questions/122109/why-is-this-function-slower-after-a-simple-change I have a function that calculates the rank of a restricted growth string defined like so, rankKRGS[{}] = 0; rankKRGS[string_] := With[{n = Length@string, k = Max@string + 1, alone = ... - asked by Jordy Dickinson (3 votes) —————————- [Is there an efficient way to monitor the progress of a task remotely?] http://mathematica.stackexchange.com/questions/123181/is-there-an-efficient-way-to-monitor-the-progress-of-a-task-remotely Recently, I’ve been running Mathematica packages on a remote cluster using SSH (using, e.g. the command nohup nice math -noprompt -run "&lt;&lt;myPackage.m" &gt; myOutput &amp; so that the output ... - asked by Nikhil Anand (2 votes) 42 Tuesday, August 2, 2016 ================================== Top new questions this week: ================================== [How can I detect locations of Go (aka Baduk, Weiqi) stones on a board?] http://mathematica.stackexchange.com/questions/121835/how-can-i-detect-locations-of-go-aka-baduk-weiqi-stones-on-a-board The Goal There are a couple apps that score a Go board from a photo. I was wondering if something like that would be possible with Mathematica. The key step is to detect the positions of the stones ... - asked by Mark S. (19 votes), answered by halirutan (2 votes) —————————- [What are all the ”magic” Symbols in the Mathematica language?] http://mathematica.stackexchange.com/questions/121981/what-are-all-the-magic-symbols-in-the-mathematica-language Leonid Shifrin once wrote (excerpted): (Unevaluated) is one of a very few ”magic symbols”, along with Sequence and Evaluate - these are deeply wired into the system and can not be easily ... - asked by Mr.Wizard (16 votes), answered by Mr.Wizard (9 votes) —————————- [What has changed in pattern matching functions with the Orderless attribute?] http://mathematica.stackexchange.com/questions/121564/what-has-changed-in-pattern-matching-functions-with-the-orderless-attribute In making an attempt to answer this question, we ran into a version-dependent pattern-matching issue. An extended discussion in the comments transpired, and some inconsistencies arose. Consider the ... - asked by march (16 votes) —————————- [Converting a Sierpinski tetrahedron to a Graph] http://mathematica.stackexchange.com/questions/121553/converting-a-sierpinski-tetrahedron-to-a-graph I need a representation of a 3D Sierpinski gasket as a graph to perform some simulations on. The 2D version is included in GraphData[], but the 3D one is nowhere to be found, so I was wondering if ... - asked by FEARxxx (13 votes), answered by J. M. (2 votes) —————————- [Working with DynamicModule: SetDelayed + OwnValues] http://mathematica.stackexchange.com/questions/121584/working-with-dynamicmodule-setdelayed-ownvalues Shortly, definitions in form of e.g. x:= RandomReal[] have to be avoided inside DynamicModule[{x}, ...]. Why?, this Prints immediately: DynamicModule[{x}, x := Print[1]; {}] It hit us hard in the ... - asked by Kuba (12 votes), answered by Kuba (13 votes) —————————- [How to speed up pattern matching] http://mathematica.stackexchange.com/questions/121911/how-to-speed-up-pattern-matching Main Problem Mr.Wizard posed this question when discussing another problem. I reproduce the main part of Mr.Wizard’s problem here: MatchQ[{1, 2, 3, 4, 5}, {x__?((Echo[##]; False) &amp;), y__}] On ... - asked by Wjx (11 votes), answered by Michael E2 (5 votes) —————————- [How to efficiently implement k-FN (k-Furthest Neighbors)?] http://mathematica.stackexchange.com/questions/121541/how-to-efficiently-implement-k-fn-k-furthest-neighbors I’d like to pick k points from a set of points in n-dimensions that are approximately ”maximally apart” (sum of pairwise distances is almost maxed). What is an efficient way to do this in MMA? Using ... - asked by M.R. (10 votes), answered by C. Woods (2 votes) ================================== Greatest hits from previous weeks: ================================== [Writing a word with straight lines] http://mathematica.stackexchange.com/questions/113403/writing-a-word-with-straight-lines Here is an interesting way to write a word: (it is from a poster for the International Museum Day 2006; I believe it even won an award at an international design competition) by Boris Ljubicic. ... - asked by VividD (70 votes), answered by Anton Antonov (32 votes) —————————- [Make a beautiful Moiré effect] http://mathematica.stackexchange.com/questions/112998/make-a-beautiful-moir%c3%a9-effect How do I make the following Moiré pattern? I tried: A = Plot[Table[n, {n, 1, 30}], {x, 0, 31}, GridLines -&gt; {Table[n, {n, 1, 30}], None}, GridLinesStyle -&gt; AbsoluteThickness[1.2], ... - asked by vito (23 votes), answered by gpap (34 votes) ================================== Can you answer these? ================================== [Looking for a package for finite mappings] http://mathematica.stackexchange.com/questions/121776/looking-for-a-package-for-finite-mappings I am looking for a package for dealing with ”mappings” where and are finite subsets of the set of all possible (inert) expressions. I need operations like: Computing ... - asked by masterxilo (3 votes) —————————- [Using Palettes in Mathematica Online] http://mathematica.stackexchange.com/questions/121935/using-palettes-in-mathematica-online my student is using the online version of Mathematica for my class; it appears to not have a palette feature for typing formatted input? This was kind of shocking to me; why wouldn’t there be a ... - asked by Jake Mirra (1 vote) —————————- [Derivation of an interpolation function with multiple arguments] http://mathematica.stackexchange.com/questions/121599/derivation-of-an-interpolation-function-with-multiple-arguments I have the following interpolation function: f[x_,a_,b_]:=70 s[a,b][[1,1,2]][x] where s[a,b] is the solution of a differential equation. s[a_, b_] := NDSolve[{ H2[x] == Rx[x]^2 + G[x, a, b], ... - asked by Maria (2 votes) 43 Tuesday, July 26, 2016 ================================== Top new questions this week: ================================== [Generate a certain colorful triangle] http://mathematica.stackexchange.com/questions/121353/generate-a-certain-colorful-triangle I want to get a colorful triangle like this: I hope to get a triangle with any number of layers. This is my current method. Actually, I’m not very content with these graph theory functions, since ... - asked by yode (13 votes), answered by Mr.Wizard (7 votes) —————————- [Bad interaction between Join and ListPlot (or Plot)] http://mathematica.stackexchange.com/questions/121289/bad-interaction-between-join-and-listplot-or-plot When you write this code: tab = {{1, 1}}; tab = Join[tab, {{2,2}}]; you expect to get the following table: {{1, 1}, {2, 2}} but, if you write the following code instead: tab = {{1, 1}}; tab = ... - asked by Francisco (11 votes), answered by C. E. (8 votes) —————————- [Handwriting recognition with Mathematica] http://mathematica.stackexchange.com/questions/121051/handwriting-recognition-with-mathematica I am trying to teach Mathematica to read my handwriting. Since I don’t want to ruin my reputation by showing my own handwriting, I am going to use a font called blackjack. Lets say this is a ... - asked by Sumit (11 votes) —————————- [Can one effectively edit a Front End Resource that is already loaded?] http://mathematica.stackexchange.com/questions/121059/can-one-effectively-edit-a-front-end-resource-that-is-already-loaded A number of special definitions are loaded from .tr files on Front End initialization and are accessible via FrontEndResource. These are used among other things for various menus and toolsbars, e.g.: - asked by Mr.Wizard (11 votes) —————————- [Bug with Compile and Log2?] http://mathematica.stackexchange.com/questions/121336/bug-with-compile-and-log2 It seems that Log2 in Compile gives numerical errors (CompiledFunction::cfn) if the input is not a power of 2. For instance: test1 = Compile[{{in, _Integer}}, Log2[in]]; test1[3] gives an error ... - asked by JHM (10 votes), answered by Michael E2 (4 votes) —————————- [What is the effect of giving ColorFunctionScaling a numerical argument?] http://mathematica.stackexchange.com/questions/121231/what-is-the-effect-of-giving-colorfunctionscaling-a-numerical-argument (by making a mistake) I realised that ColorFunctionScaling can take a list of numerical arguments rather than just booleans. The following is true for ContourPlot and DensityPlot but not Plot3D and ... - asked by gpap (10 votes), answered by Mr.Wizard (4 votes) —————————- [Reproducing the xkcd ”Self-Description” comic] http://mathematica.stackexchange.com/questions/121160/reproducing-the-xkcd-self-description-comic Trying to brush up on my programming, I wanted to see if I can reproduce at least the first two panels of the following comic in Mathematica: I have some code for trying to reproduce the first ... - asked by Mayumi Ito (10 votes), answered by Alexey Popkov (7 votes) ================================== Greatest hits from previous weeks: ================================== [Exporting graphics to PDF - huge file] http://mathematica.stackexchange.com/questions/1542/exporting-graphics-to-pdf-huge-file I want to draw some basic surfaces, export them to PDF and include them in a LaTeX file. I create a simple 3D graphics object, for instance with ParametricPlot3D[{r Cos[\[Theta]], r Sin[\[Theta]], ... - asked by Matthew Leingang (84 votes), answered by Heike (71 votes) —————————- [Calculate the 2D Fourier transform of an Image] http://mathematica.stackexchange.com/questions/29203/calculate-the-2d-fourier-transform-of-an-image I am new to Mathematica, and using version 8.0. I would like to calculate the 2D Fourier Transform of an Image with Mathematica and plot the magnitude and phase spectrum, as well as reconstruct the ... - asked by user8727 (2 votes), answered by Nasser (22 votes) ================================== Can you answer these? ================================== [single slit diffraction numerical simulation] http://mathematica.stackexchange.com/questions/121474/single-slit-diffraction-numerical-simulation I’m trying to simulate the Fraunhoffer diffraction at slits(single,double,triple) with Mathematica. In the picture, the red one is analytical result and the green one is numerical result. The ... - asked by Taeshin Kim (5 votes) —————————- [How does the Contours-¿f_1, g1, f_2, g_2,... setting work?] http://mathematica.stackexchange.com/questions/121205/how-does-the-contours%e2%86%92f-1-g1-f-2-g-2-setting-work I want to plot some wavefronts in Mathematica, and I’m having some trouble reining in one of the options for my ContourPlot3D. More specifically, the documentation for ContourPlot3D says that the ... - asked by Emilio Pisanty (5 votes) —————————- [Is every menu command equivalent to a command that can be executed within a notebook?] http://mathematica.stackexchange.com/questions/121453/is-every-menu-command-equivalent-to-a-command-that-can-be-executed-within-a-note If so, is there a directory which gives the in-notebook command associated with each menu command ? In particular, I would like to know how to replicate the menu command Evaluation -> Quit Kernel -> ... - asked by Simon (3 votes) 44 Tuesday, July 19, 2016 ================================== Top new questions this week: ================================== [How can I better mimic the graphics at earth.nullschool.net?] http://mathematica.stackexchange.com/questions/120842/how-can-i-better-mimic-the-graphics-at-earth-nullschool-net I’d like to be able to better mimic the graphics at earth.nullschool.net using Mathematica and I’m looking for suggestions for either improving my code or getting directed to some other approach. ... - asked by Jim Baldwin (14 votes), answered by Simon Woods (15 votes) —————————- [how to permute list of number1,2,3,...,n,while preserve the order of first m terms as well as the last n-m terms?] http://mathematica.stackexchange.com/questions/120690/how-to-permute-list-of-number1-2-3-n-while-preserve-the-order-of-first-m-t For example, starting from 1,2,3,4, I want to generate all permutations like 1,3,2,4,1,3,4,2,3,4,1,2 which preserve the order of e.g first two terms 1,2 and the order of e.g. last two terms ... - asked by user41614 (12 votes), answered by Kuba (8 votes) —————————- [Create a polynomial of a given degree] http://mathematica.stackexchange.com/questions/120841/create-a-polynomial-of-a-given-degree In Mathematica, how can I create a polynomial function in given variables of a given degree with unknown coefficents? That is, I am looking for a function Poly[vars, degree] that generates, for ... - asked by Posch79 (11 votes), answered by march (6 votes) —————————- [Fractal basins of attraction in a Magnetic Pendulum] http://mathematica.stackexchange.com/questions/120946/fractal-basins-of-attraction-in-a-magnetic-pendulum I am trying to write a Mathematica program that realizes a graphical approximation of the basins of attraction in a Magnetic pendulum subject to friction and gravity, in which the three magnets are ... - asked by bharb (10 votes), answered by C. E. (9 votes) —————————- [Draw half empty rectangle] http://mathematica.stackexchange.com/questions/120781/draw-half-empty-rectangle How can I draw an half or a third filled rectangle? I want to make one rectangle frame with a unity width and then filled it according to a value between 0 and 1. - asked by Miguel (9 votes), answered by Feyre (9 votes) —————————- [How to access ”Choose Color Scheme” Programmatically] http://mathematica.stackexchange.com/questions/120999/how-to-access-choose-color-scheme-programmatically I am designing an App and I want to use the ”Choose Color Scheme” tools inside Button. I am looking to have this tool in popup window when the Button is clicked but I can’t find the command to get ... - asked by Algohi (8 votes), answered by Karsten 7. (9 votes) —————————- [Programming the fiver game] http://mathematica.stackexchange.com/questions/120959/programming-the-fiver-game Obviously, even if I ask a lot of question I am, obviously, still a dummy!!!! I want to program the fiver game. It’s a very simple game played solitary on a the rule is elementary : if ... - asked by cyrille.piatecki (8 votes), answered by Mr.Wizard (15 votes) ================================== Greatest hits from previous weeks: ================================== [Creating 3D dice] http://mathematica.stackexchange.com/questions/110295/creating-3d-dice How to create an image of a 3D die from the 2D images? There is an example in the Documentation Center I tried but it doesn’t work. - asked by vito (13 votes), answered by Martin Ender (21 votes) —————————- [xkcd-style graphs] http://mathematica.stackexchange.com/questions/11350/xkcd-style-graphs I received an email to which I wanted to respond with a xkcd-style graph, but I couldn’t manage it. Everything I drew looked perfect, and I don’t have enough command over PlotLegends to have these ... - asked by Amatya (518 votes), answered by Simon Woods (371 votes) ================================== Can you answer these? ================================== [How to increase the image resolution of a map?] http://mathematica.stackexchange.com/questions/120572/how-to-increase-the-image-resolution-of-a-map I’d like to obtain higher-resolution geographic maps retrieved from Wolfram geo server, since the standard resolution seems poor. I tried to increase the ”TileSize” parameter, like this: ... - asked by Fred (2 votes) —————————- [Hidden Markov Model: emissions probabilities dependent on observable parameter] http://mathematica.stackexchange.com/questions/120700/hidden-markov-model-emissions-probabilities-dependent-on-observable-parameter I need to fit an HMM where the emission probabilities (ep) are discrete and dependent on a known variable quantity. E.g.: Imagine a daily time series of binary emissions (”1” or ”2”). I suppose an ... - asked by CupiDio (1 vote) —————————- [Why are there these jagged ”shards” in my RegionPlot3D?] http://mathematica.stackexchange.com/questions/120712/why-are-there-these-jagged-shards-in-my-regionplot3d I’m creating a region out of two component regions. Before anyone suggests it (because a lot of similar questions are about it), I don’t think the problem is increasing PlotPoints. I’ve increased it ... - asked by YungHummmma (1 vote) 45 Tuesday, July 12, 2016 ================================== Top new questions this week: ================================== [How to extract the list of all matrices from a Block Diagonal Matrix?] http://mathematica.stackexchange.com/questions/120433/how-to-extract-the-list-of-all-matrices-from-a-block-diagonal-matrix I am working on a function to do the opposite operation of How to form a block-diagonal Matrix from a list of matrices? Here is my current algorithm: For i starting at 1, scan the elements of index ... - asked by happy fish (11 votes), answered by yode (6 votes) —————————- [Collect all inputs from Documentation Center] http://mathematica.stackexchange.com/questions/120334/collect-all-inputs-from-documentation-center Is it possible to collect all inputs programmatically from every function in the Documentation Center in a list and wrap them in a HoldComplete? My case: With some fundamental functions modified, I ... - asked by happy fish (9 votes), answered by Edmund (12 votes) —————————- [How to avoid procedural loops in this example?] http://mathematica.stackexchange.com/questions/120533/how-to-avoid-procedural-loops-in-this-example I want to iterate over a list, and return the index as long as I found the first element satisfying my condition. Written in a for loop: f[x_]:=2x For[i=1, i&lt;=10, i++, If[f[i]==10, Return[i]] ] ... - asked by Nick (8 votes), answered by Gerli (5 votes) —————————- [Why does this LibraryLink function crash?] http://mathematica.stackexchange.com/questions/120384/why-does-this-librarylink-function-crash Recently, I have rewritten pure Wolfram Language implementation CAGDBSplineSurface[] with C. Below is main LibraryLink code: LibraryLink Code #include "WolframLibrary.h" ... - asked by Shutao TANG (8 votes), answered by happy fish (11 votes) —————————- [How can I combine a list of Line[]’s into one continuous Line?] http://mathematica.stackexchange.com/questions/120285/how-can-i-combine-a-list-of-lines-into-one-continuous-line I have a huge list of Lines. Take this one as an example: linelist1 = {Line[{{0.15042300130733277, 0.09918669845167598}, {0.15124668865085406, 0.09522452324491057}}], ... - asked by YungHummmma (8 votes), answered by Michael E2 (12 votes) —————————- [NIntegrate appears to give incorrect results] http://mathematica.stackexchange.com/questions/120118/nintegrate-appears-to-give-incorrect-results I am trying to specify a bivariate probability density function in Mathematica. As a check, I would like to confirm that it integrates to one. Here is the function: f[x1_, x2_, u1_, u2_, v11_, v22_, ... - asked by Miguel (8 votes), answered by Anton Antonov (11 votes) —————————- [Which fonts are supported in Wolfram Cloud?] http://mathematica.stackexchange.com/questions/120102/which-fonts-are-supported-in-wolfram-cloud I recently suggested creating dynamic community ads with Wolfram Cloud. @C.E. made a proof of concept ad to show that it works well. Fonts are an important part of graphics design. It is useful to ... - asked by Szabolcs (8 votes), answered by Szabolcs (5 votes) ================================== Greatest hits from previous weeks: ================================== [What is the best Mathematica tutorial for young people?] http://mathematica.stackexchange.com/questions/733/what-is-the-best-mathematica-tutorial-for-young-people As Conrad Wolfram said at the TED conference, in the future kids should focus more on new technology. Computers compute better than humans, so we should focus more on thinking and getting the ... - asked by noisy (44 votes), answered by Vitaliy Kaurov (23 votes) —————————- [Mathematica Minecraft] http://mathematica.stackexchange.com/questions/19669/mathematica-minecraft Some time ago I asked myself: with all these great graphics and interactive capabilities of Mathematica, what kinds of 3D games can be implemented in it? And the answer which came to mind is ... - asked by faleichik (140 votes), answered by faleichik (192 votes) ================================== Can you answer these? ================================== [integrate giving wrong result] http://mathematica.stackexchange.com/questions/120495/integrate-giving-wrong-result A question with the same title has been asked many times, but I can’t find the solution of my problem in their answers. The integral I am trying to calculate is Integrate[Sin[q ]^2 / Sinh[q]^2, {q, ... - asked by Felix (7 votes) —————————- [Why FinancialDerivative fails for the Spread case?] http://mathematica.stackexchange.com/questions/120277/why-financialderivative-fails-for-the-spread-case According to the documentation center for FinancialDerivative in version 10.4, when there are multi assets, we still may use FinancialDerivative with the corresponding correlation matrix to find the ... - asked by M.J.2 (2 votes) —————————- [What does the GraphLayout -¿ ”SpectralEmbedding” option do (mean) when displaying a graph?] http://mathematica.stackexchange.com/questions/120139/what-does-the-graphlayout-spectralembedding-option-do-mean-when-displayin I have some relational data represented as a graph. As such some of the relational properties can be recognized. When I use the GraphLayout -¿ ”SpectralEmbedding” option a very nice and sharply ... - asked by Phillip Dukes (5 votes) 46 Tuesday, July 5, 2016 ================================== Top new questions this week: ================================== [Which Object-oriented paradigm approach to use in Mathematica?] http://mathematica.stackexchange.com/questions/119991/which-object-oriented-paradigm-approach-to-use-in-mathematica Which Object-Oriented Paradigm (OOP) approach to use in Mathematica for: general implementation, or a particular project? There are a lot of related questions and answers in MSE on doing OOP that ... - asked by Anton Antonov (14 votes) —————————- [How can I use Mathematica to sort the US Congressional Districts by Perimeter÷Area] http://mathematica.stackexchange.com/questions/119944/how-can-i-use-mathematica-to-sort-the-us-congressional-districts-by-perimeter%c3%b7ar The United States is divided into 435 congressional districts. Some of their shapes can be really strange due to gerrymandering. I think that I can find very gerrymandered congressional districts if ... - asked by QuantumDot (13 votes), answered by Emilio Pisanty (6 votes) —————————- [Gillespie Stochastic Simulation Algorithm] http://mathematica.stackexchange.com/questions/119786/gillespie-stochastic-simulation-algorithm The Gillespie SSA is a Monte Carlo stochastic simulation algorithm to find the trajectory a dynamic system described by a reaction (or interaction) network, e.g. chemical reactions or ecological ... - asked by István Zachar (13 votes), answered by István Zachar (15 votes) —————————- [How to create a fascinating QR code like this?] http://mathematica.stackexchange.com/questions/120041/how-to-create-a-fascinating-qr-code-like-this Check the facinating QRCode in my profile page here You can find that this QRCode is some sort of intriguing as the QRCode is a IMAGE ITSELF!!! So my question is, how to create such a QRCode ... - asked by Wjx (11 votes), answered by Wjx (11 votes) —————————- [Data extraction from a picture of a graph] http://mathematica.stackexchange.com/questions/119666/data-extraction-from-a-picture-of-a-graph How can I extract data from this picture of a graph? i = Import["http://i.stack.imgur.com/Ac8m0.png"]; The caption of the picture reads: ” Two-dimensional histogram values measured . Tick labels ... - asked by psimeson (10 votes), answered by Simon Woods (16 votes) —————————- [Evaluating summations involving Fibonacci numbers in terms of Fibonacci numbers] http://mathematica.stackexchange.com/questions/119822/evaluating-summations-involving-fibonacci-numbers-in-terms-of-fibonacci-numbers There are many summations involving Fibonacci numbers which Mathematica 10.4 is able to evaluate directly in terms of Fibonacci numbers. For example, Mathematica evaluates the summation given below as ... - asked by John M. Campbell (9 votes), answered by yarchik (4 votes) —————————- [TreeForm outputs different results for the same inputs but why?] http://mathematica.stackexchange.com/questions/119745/treeform-outputs-different-results-for-the-same-inputs-but-why First of all, please look at the below inputs and outputs: In[1]:=$a = Array[# Range[#] &amp;, {5}]

Out[1]= {{1}, {2, 4}, {3, 6, 9}, {4, 8, 12, 16}, {5, 10, 15, 20, 25}}

In[2]:= $af = Flatten[$a,  ...

================================== Greatest hits from previous weeks: ==================================

[How to plot an ellipse?] http://mathematica.stackexchange.com/questions/20100/how-to-plot-an-ellipse

I’m new to Mathematica, and I’m finding it difficult to plot an ellipse. I tried using

Plot[(x/5)^2 + (y/3)^2 == 1, {x, -5, 5}, {y, -3, 3}]

but I’m getting some errors. Is there something wrong ...

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[Is it possible to draw this figure using Mathematica?] http://mathematica.stackexchange.com/questions/110848/is-it-possible-to-draw-this-figure-using-mathematica

The figure is

See the how-to video or a speeded-up GIF.

I believe it should be possible to draw this figure programmatically using some Random function, but I’m rather new to Mathematica, so I ...

================================== Can you answer these? ==================================

[Hide Notebook scrollbars] http://mathematica.stackexchange.com/questions/119665/hide-notebook-scrollbars

Is it possible to hide the scrollbars from the notebook windows while still being able to use the mousewheel to scroll? Since I never click on the bars themselves they’re just a waste of space. It’s ...

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[Hold Values of DensityPlot to use for an other DensityPlot] http://mathematica.stackexchange.com/questions/120022/hold-values-of-densityplot-to-use-for-an-other-densityplot

I have two surface functions, f[x,y] and g[x,y]. Assuming that the DensityPlot of f and g takes a while, is there a way to hold the values of DensityPlot, to efficiently DensityPlot f[x,y]-g[x,y] ?

...

- asked by Pierre L. (1 vote)

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[How to place window on second screen?] http://mathematica.stackexchange.com/questions/119835/how-to-place-window-on-second-screen

I am trying to open a window on a second screen (a thunderbolt display attached to a macbook pro) that is the full size of the second screen. Here is the command I use:

ThunderboltDimensions = 2560, ...

- asked by abwatson (1 vote)

47 Tuesday, June 28, 2016

==================================
Top new questions this week:
==================================

[Is the renaming mechanism of ‘With‘ flawed?] http://mathematica.stackexchange.com/questions/119403/is-the-renaming-mechanism-of-with-flawed

I’m confused about the renaming mechanism of With:

With[{x = a}, Hold[With[{a = b}, a + 2 x]]]
(*==&gt;Hold[With[{a$= b}, a$ + 2 a]]*)

With[{x = a$}, Hold[With[{a = b}, a + 2 x]]] ... - asked by luyuwuli (21 votes), answered by Leonid Shifrin (22 votes) —————————- [How do I increase the readability of this code?] http://mathematica.stackexchange.com/questions/119074/how-do-i-increase-the-readability-of-this-code Below is some code I am working on; being a beginner. How can I increase the readability of the part behind Manipulate? I can’t read my own code anymore, because it is simply too long and unordered. ... - asked by Imre Vegh (20 votes), answered by E.Doroskevic (16 votes) —————————- [Mysterious behaviour of Pick] http://mathematica.stackexchange.com/questions/119223/mysterious-behaviour-of-pick As everyone knows, Pick can do amazing things, The most facinating phenomenon is that it can pick though all sorts of lists: The basic &amp; pattern matching: Pick[{4, 5, 6}, {1, 2, 1}, 1] (*{4,6}*) ... - asked by Wjx (18 votes), answered by WReach (25 votes) —————————- [How to debug the C code for LibraryLink?] http://mathematica.stackexchange.com/questions/119053/how-to-debug-the-c-code-for-librarylink Recently, I use the C to rewrite a Mathematica function NonzeroBasis[], please see here for fully descriptions. Here, NonzeroBasis[i,p,u,U] calculates the values of ... - asked by Shutao TANG (11 votes), answered by Szabolcs (16 votes) —————————- [Is it possible to attach a debugger to a dynamically linked library on the supported OS?] http://mathematica.stackexchange.com/questions/119083/is-it-possible-to-attach-a-debugger-to-a-dynamically-linked-library-on-the-suppo Recently, I discovered that LibraryLink technique is a very useful tool to improve the performance of function. Firstly, I need to use LibraryLink template to write C/C++ program. Then compiling the ... - asked by Shutao TANG (10 votes), answered by user21 (3 votes) —————————- [Nothing not behaving as expected?] http://mathematica.stackexchange.com/questions/119239/nothing-not-behaving-as-expected I was thinking that Nothing was doing the same job as the vanishing sequence ##&amp;[]. Yet this exemple shows it doesnt. Association[If[True,Nothing]] (*returns Association[Nothing]*) ... - asked by faysou (10 votes), answered by Szabolcs (12 votes) —————————- [Random walk on a Sierpinski gasket] http://mathematica.stackexchange.com/questions/119036/random-walk-on-a-sierpinski-gasket I am trying to simulate a random walk on a Sierpinski gasket. The best strategy i could come up with is to use Nearest point function to determine the next possible step of my walker. But this creates ... - asked by FEARxxx (9 votes), answered by Wjx (11 votes) ================================== Greatest hits from previous weeks: ================================== [Creating legends for plots with multiple lines?] http://mathematica.stackexchange.com/questions/4025/creating-legends-for-plots-with-multiple-lines So I have a graph with multiple lists, for e.g. data = {{1,2}, {3,4}, {3,5}, {2,3} . . .} If I then do ListLinePlot[Table[{#1,Log[b,#2]}&amp;@@@data, {b,1,10,2}]] I have no way to generate a legend ... - asked by Eiyriou von Kauyf (58 votes), answered by Jens (88 votes) —————————- [How can this image (optical illusion) be created with Mathematica?] http://mathematica.stackexchange.com/questions/24148/how-can-this-image-optical-illusion-be-created-with-mathematica I came across this image the other day: and liked the sensation of it pulsing. I was wondering if anyone would know how to create something similar with Mathematica (without the Pink Floyd Dark ... - asked by Mike Honeychurch (51 votes), answered by halirutan (65 votes) ================================== Can you answer these? ================================== [Is pattern matching just systematic guessing and checking?] http://mathematica.stackexchange.com/questions/119394/is-pattern-matching-just-systematic-guessing-and-checking How does the pattern matcher work? how does it match this example? f[3, h[4]] /. f[x_, z_[y_]] :&gt; {x, y, z} My guess is that the pattern matcher collects all the names in the expression f[3, ... - asked by John Conor Cosnett (3 votes) —————————- [How can I move he documentation to another location after install on Windows?] http://mathematica.stackexchange.com/questions/119503/how-can-i-move-he-documentation-to-another-location-after-install-on-windows How can I move he documentation to another location after install on Windows? I would like to move the documentation to another partition on my Windows filesystem. Michael Hale in chat recommended ... - asked by jamesson (4 votes) —————————- [How to perform convolutions on this complicated pdf?] http://mathematica.stackexchange.com/questions/119034/how-to-perform-convolutions-on-this-complicated-pdf For a known pdf f[x], I need to calculate integrals over the probability density of the sum of Log[f[x]] over independent samples: Since the sample ... - asked by Jerry Guern (2 votes) 48 Tuesday, June 21, 2016 ================================== Top new questions this week: ================================== [ graphic of soccer ball] http://mathematica.stackexchange.com/questions/118604/3d-graphic-of-soccer-ball How to make a soccer ball graphic? The following image is from Wikipedia, Spherical polyhedron: Truncated icosahedron (left) and standard soccer ball (right) ... - asked by vito (23 votes), answered by Michael E2 (23 votes) —————————- [The character sequence ” . d” triggers line break in strings] http://mathematica.stackexchange.com/questions/118801/the-character-sequence-d-triggers-line-break-in-strings Bug introduced in 7.0 or earlier and persists through 10.4.1 Bug isn’t present in version 5.2 Update: Sjoerd pointed out that this happens with any string and it is not related to StringForm. Just ... - asked by Szabolcs (14 votes), answered by Sjoerd C. de Vries (12 votes) —————————- [Inconsistent handling of Dynamic option values; intended, omission, or bug?] http://mathematica.stackexchange.com/questions/118646/inconsistent-handling-of-dynamic-option-values-intended-omission-or-bug In answering Dynamic ClipPlanes calculated from current ViewPoint Kuba and I got into a brief exchange regarding how Option values wrapped in Dynamic should be handled. For background John Fultz ... - asked by Mr.Wizard (14 votes) —————————- [How can I plot this spirally surface?] http://mathematica.stackexchange.com/questions/118887/how-can-i-plot-this-spirally-surface I would like to plot a surface that looks something like this sand spiral. But I really have no idea how. Ideally I would like to be able to express this as a function in cartesian coordinates. I’m ... - asked by user41147 (12 votes), answered by Thies Heidecke (28 votes) —————————- [Any manual on cell grouping management?] http://mathematica.stackexchange.com/questions/118649/any-manual-on-cell-grouping-management Recently I come back to the problem of cell grouping and performed extensive search on this site and on MathGroup archive for information on how to use the possible values of the CellGroupingRules ... - asked by Alexey Popkov (12 votes) —————————- [How can Mathematica be used to create Images like these?] http://mathematica.stackexchange.com/questions/118992/how-can-mathematica-be-used-to-create-images-like-these Here are two examples of artistic image interpolation using just black lines. The first link shows the desired result created by an artist and the second done with C#. TRIANGULATION: ANGULAR ... - asked by R Hall (11 votes), answered by MarcoB (10 votes) —————————- [How to implement custom NIntegrate integration strategies?] http://mathematica.stackexchange.com/questions/118920/how-to-implement-custom-nintegrate-integration-strategies How can new integration strategies algorithms be used with NIntegrate? This is a different type of extension than the extensions with new integration rules, as described in the answer for the ... - asked by Anton Antonov (10 votes), answered by Anton Antonov (10 votes) ================================== Greatest hits from previous weeks: ================================== [Fit image of mountain to gaussian] http://mathematica.stackexchange.com/questions/109946/fit-image-of-mountain-to-gaussian I want to detect the edges of an image of a mountain and then fit that to a gaussian. I am unsure about how to only get the mountain edge, rather than every single edge in the image. How do I ... - asked by olliepower (13 votes), answered by Dr. belisarius (14 votes) —————————- [How to find the position of elements in a list satisfying criteria] http://mathematica.stackexchange.com/questions/180/how-to-find-the-position-of-elements-in-a-list-satisfying-criteria Say I have a list x={2,4,6,8,10} and I want to find out the positions of the elements that are greater than 7. Select[x, #&gt;7&amp;] gives the elements themselves, and Position[x,8] gives the ... - asked by PeterR (32 votes), answered by J. M. (29 votes) ================================== Can you answer these? ================================== [Softmax Regression Classification Algorithm] http://mathematica.stackexchange.com/questions/118958/softmax-regression-classification-algorithm I’m following the Stanford Machine Learning course while simultaneously developing my Mathematica abilities. I’m having issues with my Softmax Classifier implementation (for ref, have a look at these ... - asked by Frederik Brinck Jensen (4 votes) —————————- [Protected Variable Error with Workbench 3.0] http://mathematica.stackexchange.com/questions/118919/protected-variable-error-with-workbench-3-0 I have Wolfram Workbench 3.0, build 78, with Mathematica 10.4 as the front end. I am using Windows 10. I am trying to run a simple test source code test.m: fun[x_] := x^2; I have an empty notebook ... - asked by S2167 (2 votes) —————————- [Putting the elements of a list inside another list] http://mathematica.stackexchange.com/questions/118837/putting-the-elements-of-a-list-inside-another-list I have the list list1 = 1, 3, 4, 5, 6 and want to put the elements of this list inside a list of 0’s, list2 = 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, where each element of list1 will be in the ... - asked by user41129 (1 vote) 49 Tuesday, June 14, 2016 ================================== Top new questions this week: ================================== [Are you interested in a Wolfram Workbench Update?] http://mathematica.stackexchange.com/questions/118154/are-you-interested-in-a-wolfram-workbench-update I also posted this on the Wolfram Community site (link below) Last week I attended the Wolfram Tour (which was great). I asked whenever we could expect a new version of Workbench, as the current ... - asked by Frank Martin (18 votes), answered by Anton Antonov (14 votes) —————————- [Is manual adjustment of AccuracyGoal and PrecisionGoal useless?] http://mathematica.stackexchange.com/questions/118249/is-manual-adjustment-of-accuracygoal-and-precisiongoal-useless This is a problem confusing me for years. AccuracyGoal and PrecisionGoal are two options that I never truly understand and, to be honest, always avoid touching. Let’s first look at the descriptions ... - asked by xzczd (15 votes) —————————- [Can Mathematica recompose an image?] http://mathematica.stackexchange.com/questions/117892/can-mathematica-recompose-an-image The OP in this post on superuser.com asks how to recompose an image; quoting: I have a set of images, which are parts of a bigger image. I would like the images to assembled as automated as ... - asked by mattiav27 (15 votes), answered by C. E. (13 votes) —————————- [How to implement custom integration rules for use by NIntegrate] http://mathematica.stackexchange.com/questions/118324/how-to-implement-custom-integration-rules-for-use-by-nintegrate How can NIntegrate be extended with custom implementation of integration rules? This answer of the question ”Monte Carlo integration with random numbers generated from a Gaussian distribution” shows ... - asked by Anton Antonov (14 votes), answered by Anton Antonov (15 votes) —————————- [Unexpected behavior of Sequence – using Sequence to delete parts of an expression] http://mathematica.stackexchange.com/questions/118108/unexpected-behavior-of-sequence-using-sequence-to-delete-parts-of-an-expressi I thought that assigning Sequence[] to the part of an expression was an effective way to remove it. For example, the following code yields 2,3,4,5: xx = Range[5]; xx[[1]] = Sequence[]; xx Thus, I ... - asked by Hector (10 votes), answered by Leonid Shifrin (6 votes) —————————- [Why NIntegrate is badly-behaved on by default?] http://mathematica.stackexchange.com/questions/117888/why-nintegrate-is-badly-behaved-on-j-frac92x-by-default A friend of mine showed me this example: Plot[BesselJ[9/2, x], {x, 0, 1}, PlotLabel -&gt; Style["The integrand seems to be simple", 14]] Integrate[BesselJ[9/2, x], {x, 0, 1}] // N (* ... - asked by xzczd (10 votes), answered by Anton Antonov (6 votes) —————————- [How do I insert OwnValues inside a held expression without evaluating it?] http://mathematica.stackexchange.com/questions/118030/how-do-i-insert-ownvalues-inside-a-held-expression-without-evaluating-it Here is a very long and complicated expression, which we abbreviate as a. I store it using SetDelayed because I want to perform algebraic manipulations on it: ClearAll[a]; a := 1 + 1 Here is a ... - asked by QuantumDot (9 votes), answered by Kuba (9 votes) ================================== Greatest hits from previous weeks: ================================== [Where can I find examples of good Mathematica programming practice?] http://mathematica.stackexchange.com/questions/18/where-can-i-find-examples-of-good-mathematica-programming-practice I consider myself a pretty good Mathematica programmer, but I’m always looking out for ways to either improve my way of doing things in Mathematica, or to see if there’s something nifty that I haven’t ... - asked by J. M. (419 votes), answered by faysou (377 votes) —————————- [++ is dangerous for C programmers] http://mathematica.stackexchange.com/questions/107619/is-dangerous-for-c-programmers I noticed this fact, that may be misleading for programmers used to C language. In Mathematica, if you have a function f[] and an array v, and you write v[[ f[] ]]++ the function f is called ... - asked by Giovanni Resta (32 votes), answered by Mr.Wizard (24 votes) ================================== Can you answer these? ================================== [Solve and design ”water flow”] http://mathematica.stackexchange.com/questions/118183/solve-and-design-water-flow In some strategy game I play, I’ll have to change the terrain to make the water flow in some specific way to fulfill my goal. The water flow changes with terrain so if I can change the terrain wisely ... - asked by Wjx (5 votes) —————————- [Is there a way to figure out the ”upper limit” of my PC’s computational ability in Mathematica?] http://mathematica.stackexchange.com/questions/117852/is-there-a-way-to-figure-out-the-upper-limit-of-my-pcs-computational-ability I am doing some simulations with Finite Element Analysis (FEA) and part of it is forming a mesh in 3D and then using NDSolveValue to solve a differential equation on that mesh. For some meshes, my ... - asked by YungHummmma (2 votes) —————————- [Numerical testing of Hardy’s inequality] http://mathematica.stackexchange.com/questions/118061/numerical-testing-of-hardys-inequality I want to check the following Hardy’s most fundamental inequality by using Mathematica: ... - asked by vito (2 votes) 50 Tuesday, June 7, 2016 ================================== Top new questions this week: ================================== [Bug with MapAt, Span, and Association?] http://mathematica.stackexchange.com/questions/116561/bug-with-mapat-span-and-association Bug introduced in 10.0 and persisting through 10.4.1 or later Related to Mapping (Query) a function at multiple locations in nested data via All, Span, it seems to me that the behavior of MapAt ... - asked by Mr.Wizard (19 votes) —————————- [Joining points into 3D surface] http://mathematica.stackexchange.com/questions/117736/joining-points-into-3d-surface This seems like a simple problem, but I can’t find any questions like it here so I’m making a new one. Apologies if I missed one. I have a list of points contained in a file which can be visualized ... - asked by Crepo (12 votes), answered by george2079 (6 votes) —————————- [How to check the validity of an option value] http://mathematica.stackexchange.com/questions/116623/how-to-check-the-validity-of-an-option-value I have a user-defined function, func, which takes the following form: func[arg1, arg2, options] Here is the actual code Options[func] = {opt1 -&gt; Automatic, opt2 -&gt; False, opt3 -&gt; {1, ... - asked by Shutao TANG (12 votes), answered by Leonid Shifrin (10 votes) —————————- [Why does the GeoGraphics Frame show different Latitude than GeoPosition?] http://mathematica.stackexchange.com/questions/116507/why-does-the-geographics-frame-show-different-latitude-than-geoposition The map looks right, but the Latitude in the Frame looks wrong. Am I making a mistake or is this a bug? - asked by vonkohorn (12 votes), answered by jose (8 votes) —————————- [Rotate Geographic map] http://mathematica.stackexchange.com/questions/117744/rotate-geographic-map I want the map to be rotated by -45 Degree. I want to coast to be horizontal (perfect -45 degree). I already have: loc = GeoPosition[{52.57243, 5.51780}]; loc1 = GeoPosition[{52.57718, 5.52193}]; ... - asked by Dennis (11 votes) —————————- [How to learn the LibraryLink technique for the newcomer?] http://mathematica.stackexchange.com/questions/116451/how-to-learn-the-librarylink-technique-for-the-newcomer Description For the built-in programming language(or called Wolfram Language) of Wolfram Mathematica, I think it is much easier and simpler to learn than other computer language(such as C/C++ or ... - asked by Shutao TANG (11 votes), answered by Szabolcs (12 votes) —————————- [Nested association values validation. POJsO handling] http://mathematica.stackexchange.com/questions/116571/nested-association-values-validation-pojso-handling Sometimes it is convenient to work in your package/app with ”objects” like: childObject = &lt;| "id" -&gt; 284, "text" -&gt; "texttext", "property" -&gt; &lt;| "type" -&gt; "String", ... - asked by Kuba (9 votes), answered by Leonid Shifrin (5 votes) ================================== Greatest hits from previous weeks: ================================== [Where can I find examples of good Mathematica programming practice?] http://mathematica.stackexchange.com/questions/18/where-can-i-find-examples-of-good-mathematica-programming-practice I consider myself a pretty good Mathematica programmer, but I’m always looking out for ways to either improve my way of doing things in Mathematica, or to see if there’s something nifty that I haven’t ... - asked by J. M. (417 votes), answered by faysou (376 votes) —————————- [How to create word clouds?] http://mathematica.stackexchange.com/questions/2334/how-to-create-word-clouds Word clouds are rather useless fancy and visually appealing plots, where words are plotted with different sizes according to their frequency in a corpus. Many applications exist out there (Wordle, ... - asked by Istvan Zachar (126 votes), answered by Heike (105 votes) ================================== Can you answer these? ================================== [What is the difference between getting a boundary mesh from ToBoundaryMesh vs doing it with ToElementMesh?] http://mathematica.stackexchange.com/questions/116559/what-is-the-difference-between-getting-a-boundary-mesh-from-toboundarymesh-vs-do I am trying to figure out how to define and use meshes for FEM and NDSolve. I’ve figured out that if I want more resolution near my boundaries, I can use ToBoundaryMesh to first create the boundary ... - asked by YungHummmma (4 votes) —————————- [Solving Differential Equation for derivative] http://mathematica.stackexchange.com/questions/117689/solving-differential-equation-for-derivative I am new to mathematica and am trying to solve a differential equation. Actually, I am not entirely sure if the system can be called differential equation. I am interested in finding out the second ... - asked by JKJ (1 vote) —————————- [ShortestTour Problem with Constraints] http://mathematica.stackexchange.com/questions/116505/shortesttour-problem-with-constraints I can solve a travelling salesman problem with FindShortestTour[], but couldn’t find any function to solve a shorest tour problem with additional constraints like cost, fuel capacity etc. How cam I ... - asked by user40405 (3 votes) 51 Tuesday, May 31, 2016 ================================== Top new questions this week: ================================== [Determine whether points lie within a cow] http://mathematica.stackexchange.com/questions/116160/determine-whether-points-lie-within-a-cow I would like to determine whether randomly-generated points lX = RandomVariate[UniformDistribution[{-0.4, 0.4}], {1000}]; lY = RandomVariate[UniformDistribution[{-0.2, 0.2}], {1000}]; lZ = ... - asked by ben18785 (18 votes), answered by Daniel Lichtblau (12 votes) —————————- [FindMinimum doesn’t increase step size when necessary] http://mathematica.stackexchange.com/questions/116295/findminimum-doesnt-increase-step-size-when-necessary I’ve spent much time finding a minimal example demonstrating this problem with FindMinimum. Normally one faces this problem when fitting very large and complicated functions which cannot be posted ... - asked by Alexey Popkov (13 votes) —————————- [Internal DynamicModule steals scope of external DynamicModule] http://mathematica.stackexchange.com/questions/116167/internal-dynamicmodule-steals-scope-of-external-dynamicmodule I have two dynamic objects, one nested in the other. Both have their own functions defined, as follows. I have simplified them to the point where they don’t make much sense, but can still illustrate ... - asked by Istvan Zachar (13 votes), answered by John Fultz (6 votes) —————————- [Opposite of Alternatives in a Rule] http://mathematica.stackexchange.com/questions/116302/opposite-of-alternatives-in-a-rule Mathematica provides Alternatives, to match one of several patterns. In a rule, this is used as p1|p2|p3:&gt;replacement. I would like to have the opposite logic: p1&amp;p2&amp;p3:&gt;replacement ... - asked by Bruno Le Floch (10 votes), answered by Bruno Le Floch (8 votes) —————————- [Symbolic and numeric limit disagreeing on branch cut of ArcTan] http://mathematica.stackexchange.com/questions/116183/symbolic-and-numeric-limit-disagreeing-on-branch-cut-of-arctan Bug introduced after v8.0.4 and before v9.0.1, and persisting through v10.4.1. Investigating comments to my previous question lead me to the following problem: N[Limit[ ArcTan[Sqrt[-4 E^(I a)]], ... - asked by Axel Boldt (9 votes), answered by bbgodfrey (9 votes) —————————- [Why does the global variable exist here, where it was declared only in Module?] http://mathematica.stackexchange.com/questions/116140/why-does-the-global-variable-exist-here-where-it-was-declared-only-in-module Why does Mathematica choose the mechanism that makes the global variable a here while parsing? In f := Module[{a}, a;] In ?a Out Globala I don’t understand why Mathematica goes in the way ... - asked by Smart Humanism (8 votes), answered by Leonid Shifrin (15 votes) —————————- [Integrate and NIntegrate disagreeing over branch cut of Sqrt?] http://mathematica.stackexchange.com/questions/116041/integrate-and-nintegrate-disagreeing-over-branch-cut-of-sqrt Bug introduced after v8.0.4 and before v9.0.1, and persisting through v10.4.1. In Mathematica 10.2 I’m trying to integrate this piecewise continuous function, but Integrate and NIntegrate seem to ... - asked by Axel Boldt (8 votes), answered by bbgodfrey (6 votes) ================================== Greatest hits from previous weeks: ================================== [Generating a Sierpinski carpet] http://mathematica.stackexchange.com/questions/22052/generating-a-sierpinski-carpet I am trying to draw a Sierpinski_carpet. I have code that works, but I think there is a more elegant way to do than my way. Maybe I couls use Tuples or Permutations or some similar function to ... - asked by chyaong (43 votes), answered by Mr.Wizard (67 votes) —————————- [Drawing a square root spiral] http://mathematica.stackexchange.com/questions/66969/drawing-a-square-root-spiral Here is a start. I’m looking for a nice way to draw it. Graphics[{EdgeForm[Black], White, Polygon @ {{0, 0}, {-1, 0}, Sqrt[2] {Cos[#], Sin[#]} &amp;[Pi - (ArcCot[1])]}, Polygon @ {{0, ... - asked by mathe (22 votes), answered by Bob Hanlon (18 votes) ================================== Can you answer these? ================================== [Problem with Parallelization when using Packages] http://mathematica.stackexchange.com/questions/115862/problem-with-parallelization-when-using-packages I tried to find a solution to my problem in several answers posted in MSE but due to lack of my knowledge on parallelization territory, I couldn’t figure out solution to my problem. I have a big code ... - asked by Algohi (4 votes) —————————- [Fourier transform of Exp[x]/x] http://mathematica.stackexchange.com/questions/116157/fourier-transform-of-expx-x Could you please explain why Mathematica gives the following expression when taking Fourier transform of ? Why the answer does not ... - asked by Ivan Gankevich (4 votes) —————————- [Inconsistent behavior from RegionMeasure on the RegionIntersection between a Polygon and a Line] http://mathematica.stackexchange.com/questions/116083/inconsistent-behavior-from-regionmeasure-on-the-regionintersection-between-a-pol Consider a Polygon with lines drawn between two of its vertices, pgon = Get[ "https://gist.githubusercontent.com/jasondbiggs/\ 59cb7d4aa802bde68c9f6a5203ef698f/raw/\ ... - asked by Jason is no longer a postdoc (1 vote) 52 Tuesday, May 24, 2016 ================================== Top new questions this week: ================================== [Pulsed NMR animation] http://mathematica.stackexchange.com/questions/115675/pulsed-nmr-animation I’m new here and have never interacted with the community so excuse me if this has been asked before or if I format incorrectly or anything like that. Anyway, I’m trying to make an animation for a ... - asked by D. Sessions (13 votes), answered by Jack LaVigne (16 votes) —————————- [Plot 3D model of DNA in Mathematica] http://mathematica.stackexchange.com/questions/115491/plot-3d-model-of-dna-in-mathematica My friend asked me if we can plot a 3D model of DNA (deoxyribonucleic acid) in Mathematica. However, I am not really familiar with this and I don’t know if Mathematica can do this. Could you answer ... - asked by BlueSky (12 votes), answered by JasonB (23 votes) —————————- [Exclude overlapping lists while keeping disjoint- and sub-lists?] http://mathematica.stackexchange.com/questions/115545/exclude-overlapping-lists-while-keeping-disjoint-and-sub-lists Consider a function f[l1_List,l2_List] which is given lists of integers. Whenever two of the lists contain completely disjoint sets of integers OR one of the lists is completely contained in the ... - asked by Kagaratsch (12 votes), answered by ciao (15 votes) —————————- [Beautiful dance of the Earth and Venus around the sun] http://mathematica.stackexchange.com/questions/115358/beautiful-dance-of-the-earth-and-venus-around-the-sun I have seen very nice dynamic graphics created by users of Ma. I would like to get help whether the following graphics can be created using Ma. I was not able to create the dynamic picture here. ... - asked by ramesh (11 votes), answered by ubpdqn (6 votes) —————————- [Second argument of BeginPackage with nested package loading] http://mathematica.stackexchange.com/questions/115502/second-argument-of-beginpackage-with-nested-package-loading I naively thought that the second argument of BeginPackage can simply be used to ensure the loading and availability in the$ContextPath of additional packages.

Example:

(* Pack1.m *) ...

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[How to correctly implement in a new function the scoping behavior of Table, Sum and other commands that use Block to localize iterators?] http://mathematica.stackexchange.com/questions/115722/how-to-correctly-implement-in-a-new-function-the-scoping-behavior-of-table-sum

It is documented that ”Block is automatically used to localize values of iterators in iteration constructs such as Do, Sum, and Table.” Therefore the dummy index (iterator) in a Sum is shielded ...

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[Parallelization works, but does not use all CPU power] http://mathematica.stackexchange.com/questions/115436/parallelization-works-but-does-not-use-all-cpu-power

I’ve written code which involves Parallelize@Cases. When I evaluate, I find that all 16 cores are being used, but not fully; in other words all cores are active, but the total CPU usage is only 50

...

================================== Greatest hits from previous weeks: ==================================

[How was Mathematica built?] http://mathematica.stackexchange.com/questions/106020/how-was-mathematica-built

I’ve been wondering this for a while now: How was Mathematica built?

Is it written in Haskell? C++? I’d love to get a taste of the wizardry behind this incredible software.

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[How do I clear all user defined symbols?] http://mathematica.stackexchange.com/questions/850/how-do-i-clear-all-user-defined-symbols

Is there some way to do this other than going to Evaluation -&gt;
Quit kernel and firing a new one up?

================================== Can you answer these? ==================================

Here I define a MakeBoxes for Times:

MakeBoxes[p : Inactive[Times][args___], form_] :=

And it works as expected:

Inactivate[Times[3,  ...

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[Quits Kernel during evaluation of CreateTopologies] http://mathematica.stackexchange.com/questions/115660/quits-kernel-during-evaluation-of-createtopologies

I am using Feynarts 3.9 and FeynCalc 9.0.1 with Mathematica 10. Every time I load FeynArts with FeynCalc and execute

t = CreateTopologies[1, 1 -&gt; 2];

mathematica quits the kernel after a few ...

- asked by Heerak Banerjee (1 vote)

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[Inconsistent performance of code] http://mathematica.stackexchange.com/questions/115634/inconsistent-performance-of-code

I’m trying to do some optimizations to my code to make it run faster, but it seems that there are inconsistencies in the performance of the code. Namely, the codes have different performance in ...

53 Tuesday, May 17, 2016

==================================
Top new questions this week:
==================================

[Speedup matrix number multiplication] http://mathematica.stackexchange.com/questions/115087/speedup-matrix-number-multiplication

Consider this simple matrix number multiplication:

lth = 200;
mtx = RandomReal[{0, 1}, {lth, lth}];
ls = RandomReal[{0, 1}, {lth}];

Et = Function[{t}, Sin[(Pi t)/20] Sin[2 t]];
Etc = Compile[{{t,  ...

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[Fit a function with an unusual side condition] http://mathematica.stackexchange.com/questions/114864/fit-a-function-with-an-unusual-side-condition

I have a set of measurement data and I try to fit there a function (a Exp[b x] + c Exp[d x] - o). I have two problems:

The fit function does not converge nor after iterations. The fit function ...

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[Tips to move from functional programming to GUI-based applications] http://mathematica.stackexchange.com/questions/114984/tips-to-move-from-functional-programming-to-gui-based-applications

Even though this forum has some questions related to Mathematica programming tips I think that we still don’t have specific help for those who want to learn to efficiently create GUIs in Mathematica. ...

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[Longest common substring for multiple strings?] http://mathematica.stackexchange.com/questions/114979/longest-common-substring-for-multiple-strings

I’m looking for a way to get the longest common substring for multiple strings such as

{home/dir1/dir2/jmoasd.txt,home/dir1/dir2/ivbnoxcihv.txt,home/dir1/dir2/siuhgiuchv.txt}

should yield

...

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[How does a Pringle lose its curvature?] http://mathematica.stackexchange.com/questions/115231/how-does-a-pringle-lose-its-curvature

Nom!

As part of a bigger project, I’ve was writing some code to calculate the scalar curvature of surfaces of the form . This uses a general calculation of the scalar curvature to produce ...

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[How to make datasets display correctly?] http://mathematica.stackexchange.com/questions/115246/how-to-make-datasets-display-correctly

NB: The problem illustrated below is truly ubiquitous. I hope the examples given below are sufficiently different to demonstrate this fact, and to discourage answers that hinge on the details of the ...

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[How do I translate a list of English words into another language using an online translation service with Mathematica?] http://mathematica.stackexchange.com/questions/115141/how-do-i-translate-a-list-of-english-words-into-another-language-using-an-online

As far as I know, there are two posts on this topic: Can I use Mathematica to translate a English word to a Chinese characters? and *How can I use Mathematica to get the translated result from the ...

================================== Greatest hits from previous weeks: ==================================

[What is the best Mathematica tutorial for young people?] http://mathematica.stackexchange.com/questions/733/what-is-the-best-mathematica-tutorial-for-young-people

As Conrad Wolfram said at the TED conference, in the future kids should focus more on new technology. Computers compute better than humans, so we should focus more on thinking and getting the ...

—————————-

[How to make use of Associations?] http://mathematica.stackexchange.com/questions/52393/how-to-make-use-of-associations

I have been curious about it for long. Now that Mathematica 10 arrives, I think it’s time to ask the question: How the new Association data structure would be used to improve Mathematica programming?

...

================================== Can you answer these? ==================================

[PearsonChiSquareTest for count/frequency data?] http://mathematica.stackexchange.com/questions/114905/pearsonchisquaretest-for-count-frequency-data

I read with interest a previous question on the PearsonChiSquareTest from a few years ago, and one answer was very helpful:

Performing a chi-square goodness of fit test

Have there been any updates ...

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[ParallelDo issue with SQLExecute (SQLite)] http://mathematica.stackexchange.com/questions/115263/paralleldo-issue-with-sqlexecute-sqlite

This code run as expected if I use Do[...], but if I use instead ParallelDo[...], as in the code bellow, the SQL INSERT statements seems to be completely ignored.

In both cases, the filename is ...

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[Why does Kernels[] produce this error?] http://mathematica.stackexchange.com/questions/115100/why-does-kernels-produce-this-error

Most of times, on my PC, when Kernel[] is launched for the first time, produces this error:

Executed again returns .

Is it a clue of malfunctioning or is, for reason I’m unaware of, the way it ...

54 Tuesday, May 10, 2016

==================================
Top new questions this week:
==================================

[Understanding evaluation and typesetting] http://mathematica.stackexchange.com/questions/114305/understanding-evaluation-and-typesetting

Background

So, one could be surprised by the fact that:

Hold @ Grid[{{1, 2}}]
(*or*)
Hold @ Graphics @ Disk[]

This issue and methods of prevention are discussed in Prevent graphics render ...

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[Empty WhenEvent action crashes kernel] http://mathematica.stackexchange.com/questions/114314/empty-whenevent-action-crashes-kernel

Bug introduced in 9.0 and persisting through 10.4.1 WhenEvent is new in 9.0.

This is an example from the docs, slightly modified (action is wrapped in ), working as expected.

NDSolve[x’[t] == ...

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[Difference between = and Ctrl + =] http://mathematica.stackexchange.com/questions/114357/difference-between-and-ctrl

What is a difference between , and Ctrl + ?

For instance

there are some examples, but result is same.

and

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[Is there a way to make links to functions in a notebook?] http://mathematica.stackexchange.com/questions/114342/is-there-a-way-to-make-links-to-functions-in-a-notebook

Frequently I’m working on a function that’s at the top of my notebook in a ”functions” section, but I’m looking at the output of it in a lower ”body” section of the notebook. When I want to edit the ...

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[Strategies to compensate for lack of multi-document interface?] http://mathematica.stackexchange.com/questions/114515/strategies-to-compensate-for-lack-of-multi-document-interface

I use Mathematica (Home Edition) to manage notes which live in a large number of different notebooks. In my case the notebooks (hundreds) are just organized using document names and file system ...

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[Definition of Mod and Quotient with complex arguments] http://mathematica.stackexchange.com/questions/114361/definition-of-mod-and-quotient-with-complex-arguments

How are Mod and Quotient defined for three real/complex arguments? I wasn’t able to find the definition.

My main surprise so far when investigating their behavior is a discontinuity between real and ...

—————————-

[HighlightGraph Problem] http://mathematica.stackexchange.com/questions/114725/highlightgraph-problem

Bug introduced in 9.0 or earlier and persisting through 10.4.1

HighlightGraph does not work.

HighlightGraph[Graph[{{0, 0}, {0, 1}, {1, 0}, {1, 1}}, {{0, 0} \[UndirectedEdge] {0, 1}}], {{0, 0}, {0,  ...

================================== Greatest hits from previous weeks: ==================================

[Labeling individual curves in Mathematica] http://mathematica.stackexchange.com/questions/4444/labeling-individual-curves-in-mathematica

I need to create a plot for export and inclusion in a report. Is there a better way to label curves than PlotLegends? From what I’ve read and my personal experience, PlotLegends is pretty bad.

Is ...

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[Drawing a square root spiral] http://mathematica.stackexchange.com/questions/66969/drawing-a-square-root-spiral

Here is a start. I’m looking for a nice way to draw it.

Graphics[{EdgeForm[Black], White,
Polygon @ {{0, 0}, {-1, 0},
Sqrt[2] {Cos[#], Sin[#]} &amp;[Pi - (ArcCot[1])]},
Polygon @ {{0,  ...

================================== Can you answer these? ==================================

[FrobeniusSolve: how does it work?] http://mathematica.stackexchange.com/questions/114308/frobeniussolve-how-does-it-work

Can someone suggest any reference to read? I would like to understand how the algorithm works.

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[How to delete lines containing specific values from a matrix?] http://mathematica.stackexchange.com/questions/114709/how-to-delete-lines-containing-specific-values-from-a-matrix

I am doing some numerical computations and a few iterations return values that are obviously incorrect (some numerical integration problem, I suppose.). I have managed to set these values to zero but ...

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[ImageSize not working correctly with Placed directive] http://mathematica.stackexchange.com/questions/114580/imagesize-not-working-correctly-with-placed-directive

It seems that having Placed inside Plot breaks the ImageSize specification:

cm = 72/2.54;
plt =
LogLogPlot[Exp[x], {x, 1, 3},
ImageSize -&gt; 12 cm,
AspectRatio -&gt; 0.73,
Frame -&gt;  ...

55 Tuesday, May 3, 2016

==================================
Top new questions this week:
==================================

[Find duplicates in list of InfiniteLine] http://mathematica.stackexchange.com/questions/114046/find-duplicates-in-list-of-infiniteline

MMA 10 introduced a new function, which can be very convenient: InfiniteLine.

Of course, two infinite lines can be described by different arguments: for example InfiniteLine[0,0,1,0] and ...

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[Is there any harm or benefit to Removing unneeded private symbols in packages?] http://mathematica.stackexchange.com/questions/114106/is-there-any-harm-or-benefit-to-removing-unneeded-private-symbols-in-packages

One of the things I noticed is that in typical medium-to-large sized packages, a huge number of symbols are created in the myPackage‘Private context. You can see a list of them by running

? ...

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[Can Mathematica solve functional equations with nested variable?] http://mathematica.stackexchange.com/questions/114210/can-mathematica-solve-functional-equations-with-nested-variable

First, inline free form input can solve these equations:

But it seems no native Mathematica function can solve these, there is even an error page for equations of this form (nestdv).

Now my ...

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[How to describe the convex hull of a set of points as an implicit region for optimization?] http://mathematica.stackexchange.com/questions/113689/how-to-describe-the-convex-hull-of-a-set-of-points-as-an-implicit-region-for-opt

Last edit: 2016-05-03

A.G.’s answer was the one helped me the most, see explanation at the end of this question.

Original question

In Mathematica you can create out of a set of points in 2D and 3D ...

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[NDEigensystem returns incorrect eigenvalues for 2D coulomb problem, eigenfunctions contain discontinuity] http://mathematica.stackexchange.com/questions/113898/ndeigensystem-returns-incorrect-eigenvalues-for-2d-coulomb-problem-eigenfunctio

I posted a similar question a short time ago regarding the 3D Coulomb problem. Jens’ excellent answer to this thread allowed me to obtain the correct eigenvalues and eigenenergies for that system.

I ...

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[RandomInteger: speed with long lists] http://mathematica.stackexchange.com/questions/114047/randominteger-speed-with-long-lists

I noticed an interesting effect with RandomInteger when looking at the time to create random integers. The following code lines all take about 0.5 seconds on a i7 Windows 64bit Laptop:

...

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[Creating Saveable-¿False notebooks] http://mathematica.stackexchange.com/questions/113858/creating-saveable-false-notebooks

Bug introduced in 10.3 or earlier and persisting through 10.4.1

Reproduced on Windows 7, 10

I’m having difficulties with programmatic creation of non saveable notebooks on Windows with V10.4.1.

...

================================== Greatest hits from previous weeks: ==================================

[How to make use of Associations?] http://mathematica.stackexchange.com/questions/52393/how-to-make-use-of-associations

I have been curious about it for long. Now that Mathematica 10 arrives, I think it’s time to ask the question: How the new Association data structure would be used to improve Mathematica programming?

...

—————————-

[What are the most common pitfalls awaiting new users?] http://mathematica.stackexchange.com/questions/18393/what-are-the-most-common-pitfalls-awaiting-new-users

As you may already know, Mathematica is a wonderful piece of software. However, it has a few characteristics that tend to confuse new (and sometimes not-so-new) users. That can be clearly seen from ...

================================== Can you answer these? ==================================

I noticed a bug in Mathematica. It computes incorrectly a definite integral

Integrate[y* Sqrt[(l1^2 - y^2) (l2^2 - y^2)]/(a^2 - y^2), {y, 0, l1},
Assumptions -&gt; l2 &gt; a &gt; l1 &gt; 0]

and ...

—————————-

I’m running Mathematica 10.3.1.0 on windows 7 Professional Sp.1 when I try to use FindPeaks I keep getting the following error, even when trying the example in the documentation.

I have done the ...

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[How can I set notebook’s options without opening it?] http://mathematica.stackexchange.com/questions/113816/how-can-i-set-notebooks-options-without-opening-it

At present moment, to batch apply a change in a set of notebook I use a ”brute force”, rough, method:

(* simple example *)
setBackgroundBlue[notebookFileName_] := Module[
{tempNb},
tempNb =  ...

56 Tuesday, April 26, 2016

==================================
Top new questions this week:
==================================

[Writing a word with straight lines] http://mathematica.stackexchange.com/questions/113403/writing-a-word-with-straight-lines

Here is an interesting way to write a word: (it is from a poster for the International Museum Day 2006; I believe it even won an award at an international design competition)

by Boris Ljubicic. ...

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[Numerical inverse Laplace-Hankel transform for a highly oscillatory function] http://mathematica.stackexchange.com/questions/113240/numerical-inverse-laplace-hankel-transform-for-a-highly-oscillatory-function

When trying to reproduce the result of this paper about numerical solution of Lamb’s problem, I encountered the double integral (to be more precise, the 0-order inverse Hankel-Laplace transform) of a ...

—————————-

How can I find the simplest curve that gives me a scroll like this?

This is where I am at the moment and doing it by hand is becoming more and more cumbersome.

First, take a drawing of the scroll ...

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[NDEigensystem cannot solve numerically the 3D Coulomb problem, while DSolve returns the right answer] http://mathematica.stackexchange.com/questions/113520/ndeigensystem-cannot-solve-numerically-the-3d-coulomb-problem-while-dsolve-retu

After having derived by hand the eigenvalues and eigenfunctions for the 3D and 2D hydrogen atom, I want to solve the systems numerically using Mathematica. I need to do this because my next step is to ...

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[Make the moon’s 3D gif] http://mathematica.stackexchange.com/questions/113217/make-the-moons-3d-gif

How do I make the following gif

I tried:

moon = Import[

{r, g, b} = ColorSeparate[ImageResize[moon,  ...

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[How to generate this structure of a list without ‘While‘ and the like?] http://mathematica.stackexchange.com/questions/113307/how-to-generate-this-structure-of-a-list-without-while-and-the-like

I need to create a list that holds, for given integer d, the elements where is just denoting increment by 1 until the next written ...

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[Join a list with 6, 6, 2 dimensions with a list 6, 6 dimensions] http://mathematica.stackexchange.com/questions/113630/join-a-list-with-6-6-2-dimensions-with-a-list-6-6-dimensions

listA = {{a1, a2, a3, a4, a5, a6},
{b1, b2, b3, b4, b5, b6},
{c1, c2, c3, c4, c5, c6},
{d1, d2, d3, d4, d5, d6},
{e1, e2, e3, e4, e5, e6},
{f1, f2, f3, f4, f5, f6}}

listB = {{{n1, p1}, {n2, p2},  ...

================================== Greatest hits from previous weeks: ==================================

[How to plot an ellipse?] http://mathematica.stackexchange.com/questions/20100/how-to-plot-an-ellipse

I’m new to Mathematica, and I’m finding it difficult to plot an ellipse. I tried using

Plot[(x/5)^2 + (y/3)^2 == 1, {x, -5, 5}, {y, -3, 3}]

but I’m getting some errors. Is there something wrong ...

—————————-

[Multivariable Taylor expansion does not work as expected] http://mathematica.stackexchange.com/questions/15023/multivariable-taylor-expansion-does-not-work-as-expected

The basic multivariable Taylor expansion formula around a point is as follows:

================================== Can you answer these? ==================================

[JournalArticle does not react on the PointSize option] http://mathematica.stackexchange.com/questions/113547/journalarticle-does-not-react-on-the-pointsize-option

The Default StyleSheet recognizes the PointSize option for ListPlot:

ListPlot[Table[Table[{i, j*i}, {i, 1, 10}], {j, 1, 3}],
PlotStyle -&gt; {{Red, PointSize[0.1]}, {Blue, PointSize[0.05]},  ...

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[How to trace the stylesheet directives responsible for the selected text’s appearance?] http://mathematica.stackexchange.com/questions/113495/how-to-trace-the-stylesheet-directives-responsible-for-the-selected-texts-appea

By way of example, in a typical Mathematica interactive session, one sees text content as shown below:

Three different text styles can be seen in this figure: input, output, and the style for the ...

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[How do I get my ZWO ASI120MM astro-camera to work in MMA?] http://mathematica.stackexchange.com/questions/113481/how-do-i-get-my-zwo-asi120mm-astro-camera-to-work-in-mma

I am using Windows 10 + MMA 10.4.1. I bought a ZWO ASI120MM astro camera which I want to use as a guiding camera during astrophotography. From this site (http://astronomy-imaging-camera.com/software/) ...

57 Tuesday, April 19, 2016

==================================
Top new questions this week:
==================================

[How to make this beautiful animation] http://mathematica.stackexchange.com/questions/112700/how-to-make-this-beautiful-animation

How to make an animation of following gif in Mathematica?

Edit: The animation shown above was created by Charlie Deck in processing.

And how to make 3D analog?

I tried first few steps

line = ...

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[Can you plot pure function without specifying variable?] http://mathematica.stackexchange.com/questions/112478/can-you-plot-pure-function-without-specifying-variable

Given a pure function, e.g. f=Sin[#]& it is possible to plot it with introducing an arbitrary local variable, e.g.,

Plot[f[x],x,0,1]

However, the introduction of a variable x seems ...

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[Vizualization of percolation paths] http://mathematica.stackexchange.com/questions/112878/vizualization-of-percolation-paths

I did a simple demonstration to illustrate the percolation theory for my students. The content is a conductive square network possessing electrodes at its top and bottom edges. Some randomly chosen ...

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[How to access FEM shape functions] http://mathematica.stackexchange.com/questions/112907/how-to-access-fem-shape-functions

A couple of days ago I asked here about surface meshes and plotting on surfaces.

Now I have another question: How can I access the surface or boundary element shape functions?

I would like to ...

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[Finding peaks of curve with small values] http://mathematica.stackexchange.com/questions/112993/finding-peaks-of-curve-with-small-values

I have 2d data of which I want to find the peaks.

data &lt;&lt; "http://pastebin.com/raw/EQFz1KFn";
peaks = FindPeaks[data[[All, 2]], 0, 0, -Infinity] // N

The magnitudes of the found peaks are ...

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There seem to be lots of papers discussing the functional programming paradigm terminology for Haskell, such as monad, category theory, lambda calculus, *morphism, etc. People study concepts and ...

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[Constructing a graph from a distance matrix] http://mathematica.stackexchange.com/questions/112745/constructing-a-graph-from-a-distance-matrix

I have a set of 2-dimensional points. We can compute a distance matrix (Euclidean distance) for using say this answer. I wish to form an -vertex graph having the points as vertices, ...

================================== Greatest hits from previous weeks: ==================================

[Labeling individual curves in Mathematica] http://mathematica.stackexchange.com/questions/4444/labeling-individual-curves-in-mathematica

I need to create a plot for export and inclusion in a report. Is there a better way to label curves than PlotLegends? From what I’ve read and my personal experience, PlotLegends is pretty bad.

Is ...

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[What is the best Mathematica tutorial for young people?] http://mathematica.stackexchange.com/questions/733/what-is-the-best-mathematica-tutorial-for-young-people

As Conrad Wolfram said at the TED conference, in the future kids should focus more on new technology. Computers compute better than humans, so we should focus more on thinking and getting the ...

================================== Can you answer these? ==================================

[Possible reduced GUI performance in 10.4] http://mathematica.stackexchange.com/questions/112526/possible-reduced-gui-performance-in-10-4

I have observed significantly reduced performance in GUI in Mathematica v10.4. This is especially visible in autocomplete feature delays. This is very evident when I turn some power saving features ...

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[Why does Eigenvalues work for a matrix but not ?] http://mathematica.stackexchange.com/questions/112619/why-does-eigenvalues-work-for-a-matrix-m-but-not-m

Suppose I have a matrix

{{1, 2}, {3, 4}}

which I’ll call mat. In a blur of human error, I computed the eigenvalues of mat with an extra set of curly braces surrounding it. To my surprise, this ...

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[Calculate the ESP Grid based on Density Grid] http://mathematica.stackexchange.com/questions/112872/calculate-the-esp-grid-based-on-density-grid

I want to build a fast way to convert a density grid file into a grid file of the respective electrostatic potential (ESP; also known as MEP, the molecular electrostatic potential).

This ...

58 Tuesday, April 12, 2016

==================================
Top new questions this week:
==================================

[How to model wooden joints with mathematica’s FEM?] http://mathematica.stackexchange.com/questions/111960/how-to-model-wooden-joints-with-mathematicas-fem

This is a dovetail joint:

and I’d like to see the stresses and deformation on the joint.I haven’t seen any modeling of disconnected regions with FEM, only connected regions, so I’m curious if you ...

[Possible Bug in ArrayMesh] http://mathematica.stackexchange.com/questions/111945/possible-bug-in-arraymesh

Suppose we have the following array from which we intend to create an ArrayMesh:

arr = {{{1, 1, 1}, {1, 0, 1}, {1, 1, 0}}, {{1, 1, 1}, {0, 1, 1}, {1, 1,
0}}, {{0, 1, 0}, {0, 1, 1}, {0, 0, 1}}};

...

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[How to draw all paths from (1,1) to (n,n) by move (+1, 0) or (0, +1)?] http://mathematica.stackexchange.com/questions/112395/how-to-draw-all-paths-from-1-1-to-n-n-by-move-1-0-or-0-1

Now I can draw some grid:

But what I want(I’m sorry for the weird line. I have no image processing software in my mac...):

f(1, 1) = f(2, 1) = f(3, 1) = 1
f(1, 1) = f(1, 2) =  ...

—————————-

I want to plot some nutritional values and do some computation with it.

Is there an analogue of CountryData[] to get a list of all the foods for which WA has information?

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[RegionNearest and neighborhoods] http://mathematica.stackexchange.com/questions/112264/regionnearest-and-neighborhoods

In this previous question we see that RegionNearest isn’t quite as ’capable’ as Nearest for some things.

Similarly, I need to be able to find a given neighborhood of points on a MeshRegion. With ...

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[How do I extract a matrix of only positive numbers given a set of assumptions?] http://mathematica.stackexchange.com/questions/111989/how-do-i-extract-a-matrix-of-only-positive-numbers-given-a-set-of-assumptions

I want to divide a matrix:

mat = {{a, 0, -b}, {d, a, 0}, {0, 0, -a}}

with the following assumptions:
a &gt;= 0,  b &gt;= 0, d &gt;= 0

Into two matrices, one containing the positive elements, and one ...

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[How to type text with an underbrace underneath it like: ?] http://mathematica.stackexchange.com/questions/111970/how-to-type-text-with-an-underbrace-underneath-it-like-underbraceg-g-n-t

I want to use the underbrace ”esc u esc” but have it placed underneath text. Like

in a mathematica text cell. Is it possible? Thanks

================================== Greatest hits from previous weeks: ==================================

[How to plot an ellipse?] http://mathematica.stackexchange.com/questions/20100/how-to-plot-an-ellipse

I’m new to Mathematica, and I’m finding it difficult to plot an ellipse. I tried using

Plot[(x/5)^2 + (y/3)^2 == 1, {x, -5, 5}, {y, -3, 3}]

but I’m getting some errors. Is there something wrong ...

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[How to manipulate 2D plots?] http://mathematica.stackexchange.com/questions/7142/how-to-manipulate-2d-plots

When it comes to visual analysis, large datasets or data with intricate internal details often makes plotting in 2D useless, as the outcome is either just a fraction of the full dataset, or no details ...

================================== Can you answer these? ==================================

[Possible Bug in LinearSolveFunction with Sparse Vectors] http://mathematica.stackexchange.com/questions/112313/possible-bug-in-linearsolvefunction-with-sparse-vectors

Bug introduced in 5.0 and persists through 10.4

LinearSolveFunction is new in 5.0

Consider the following set of equations and corresponding variables:

eqns1 ={2 x == 2 - 4 y, 3 y == 4 z, 2 z + 4  ...

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[Why FoldList 5 times faster than Apply for matrix multiplication?] http://mathematica.stackexchange.com/questions/112125/why-foldlist-5-times-faster-than-apply-for-matrix-multiplication

Consider this list of matrices:

list=RandomReal[{-2,2},{500,2,2}];

Now compare timings of Apply and FoldList for matrix multiplication:

t1=FoldList[Dot,list];//AbsoluteTiming
(* 0.000324,  ...

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[Generating OpenCL C code] http://mathematica.stackexchange.com/questions/112127/generating-opencl-c-code

I’m trying to make an interactive complex function plotter using OpenCl. So far I can only plot functions that I hardcode into the kernel by hand. I’d like to be able to use ComplexExpand@#@f@(x +  ...

59 Tuesday, April 5, 2016

==================================
Top new questions this week:
==================================

[Rounding the Corners of a Shape] http://mathematica.stackexchange.com/questions/111479/rounding-the-corners-of-a-shape

I was wondering whether there is an option in Mathematica that enables me to smooth the corners of a shape. The example I want to start with is the pentagon.

This can be crudely specified as

...

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[Writing functions with ”Method” options] http://mathematica.stackexchange.com/questions/111666/writing-functions-with-method-options

I’d like to implement several behaviors for a particular function using a Method option added to the function definition:

saveData[vars_, opts :  ...

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[Interpretation of the result of ?@] http://mathematica.stackexchange.com/questions/111394/interpretation-of-the-result-of

This might be a very trivial question but as a beginner, I don’t know the answer. I was exploring ? and after running a cell containing ?@, I got an interesting result:

However, I’m not sure about ...

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[Ticks in v10 - a bug or undocumented change] http://mathematica.stackexchange.com/questions/111663/ticks-in-v10-a-bug-or-undocumented-change

Bug introduced in 10.0 and fixed in 10.4

In this post @Heike provides this code:

ticksfun[xmin_, xmax_] :=
Table[{10^i, Superscript[10, i]}, {i, Floor[Log10[xmin]],
Ceiling[Log10[xmax]]}]

...

—————————-

[Why is an empty list not tested by VectorQ?] http://mathematica.stackexchange.com/questions/111438/why-is-an-empty-list-not-tested-by-vectorq

I am a bit amazed by this behavior of VectorQ[ expr, test ]:

VectorQ[ {}, NumberQ ]

True

It seems that the test itself is never applied and thus does not matter, so NumericQ or OddQ for ...

—————————-

[Matrix indexed by one number] http://mathematica.stackexchange.com/questions/111631/matrix-indexed-by-one-number

I’m trying to find a generic way (for arbitrary dimensions) to create a matrix like so

a[1] a[2]

a[3] a[4]

i.e where it is indexed by one number, instead of say Array[a, 2, 2] which gives

...

—————————-

[ErrorListPlot ignores some exact data points] http://mathematica.stackexchange.com/questions/111436/errorlistplot-ignores-some-exact-data-points

Possible bug? Or am I missing something / expecting too much?

Forgive the seemingly obscure data points but they’re where I’ve noticed a problem.

Needs["ErrorBarPlots"]
data = {
{{(10 Pi)/8, 1},  ...

================================== Greatest hits from previous weeks: ==================================

[Generate two random numbers with constraints] http://mathematica.stackexchange.com/questions/97424/generate-two-random-numbers-with-constraints

I want to generate two random numbers, and , between and .

They are connected by the constraint .

How do I generate and ?

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[Multivariable Taylor expansion does not work as expected] http://mathematica.stackexchange.com/questions/15023/multivariable-taylor-expansion-does-not-work-as-expected

The basic multivariable Taylor expansion formula around a point is as follows:

================================== Can you answer these? ==================================

[Numerical Optimal Control] http://mathematica.stackexchange.com/questions/111375/numerical-optimal-control

It seems that most practical optimal control problems are only able to be solved numerically using a non-linear programming approach. As such, I was hoping to tackle the following optimal control ...

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[How to define a custom 3D graphics primitive in Mathematica?] http://mathematica.stackexchange.com/questions/111403/how-to-define-a-custom-3d-graphics-primitive-in-mathematica

There are lots of basic graphics pimitive in Mathematica such as 2D- caseLine[], Circle[] and 3D case Cylinder[], BSplineSurface[],etc.

In general, they own the following usage if memory serves:

...

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[Can Mathematica reliably determine the equality of any two constructible numbers?] http://mathematica.stackexchange.com/questions/111615/can-mathematica-reliably-determine-the-equality-of-any-two-constructible-numbers

A constructible number is any number which can be expressed with only natural numbers and the operators , , , , (square root only). Is Mathematica’s Simplify or FullSimplify ...

60 Tuesday, March 29, 2016

==================================
Top new questions this week:
==================================

[Is it possible to draw this figure using Mathematica?] http://mathematica.stackexchange.com/questions/110848/is-it-possible-to-draw-this-figure-using-mathematica

The figure is

See the how-to video or a speeded-up GIF.

I believe it should be possible to draw this figure programmatically using some Random function, but I’m rather new to Mathematica, so I ...

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[Is there a simple strategy to determine whether a point is inside a boundary?] http://mathematica.stackexchange.com/questions/111114/is-there-a-simple-strategy-to-determine-whether-a-point-is-inside-a-boundary

For a ellipse , which owns the parametric equation as follows:

Now, I have a ...

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[How to divide the wine into two equal portions] http://mathematica.stackexchange.com/questions/111250/how-to-divide-the-wine-into-two-equal-portions

There is a 8-liter bottle is full of wine. There are two empty bottles that have capacity 5-liters and 3-liters. How can these three bottles be used to separate the wine into two 4-liter portions?

...

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[solve this probability problem symbolically] http://mathematica.stackexchange.com/questions/110789/solve-this-probability-problem-symbolically

Consider a unit square, Pick two points P and Q uniformly at random inside the square, What is the probability that —PQ—¿1?

I tried solve this problem

...

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I have tried to rewrite my old IDL code to calculate the radial correlation function for a regular 2D crystal structure.

The theory behind this function is given here: ...

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[How to plot GDPs in this way?] http://mathematica.stackexchange.com/questions/110901/how-to-plot-gdps-in-this-way

Actually the current answer is very wonderfull.The bouns just for someone can complete this question.

I found this interesting plot of how the relationship between the GDPs of different countries has ...

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[Interesting Progression of ParametricRegion: Bug?] http://mathematica.stackexchange.com/questions/110791/interesting-progression-of-parametricregion-bug

Consider the following ParametricRegion from an answer to this question:

region = ParametricRegion[{{(1 + r - 12 r^2 + 4 r^3)/(2 r - 2),
z Sqrt[(4 r^2)/(r - 1)^2 (r - r^2 (r - 3)^2)]},
2  ...

================================== Greatest hits from previous weeks: ==================================

[How do I clear all user defined symbols?] http://mathematica.stackexchange.com/questions/850/how-do-i-clear-all-user-defined-symbols

Is there some way to do this other than going to Evaluation
-&gt; Quit kernel and firing a new one up?

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[How to create word clouds?] http://mathematica.stackexchange.com/questions/2334/how-to-create-word-clouds

Word clouds are rather useless fancy and visually appealing plots, where words are plotted with different sizes according to their frequency in a corpus. Many applications exist out there (Wordle, ...

================================== Can you answer these? ==================================

[Overlay Inside a Grid/Column/Row Not Working] http://mathematica.stackexchange.com/questions/110836/overlay-inside-a-grid-column-row-not-working

Here is a microscopy image of some cells I want to make measurements on with Mathematica:

In order to make some measurements of cells in a microscopy image I have written a simple dynamic overlay ...

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Please see code snippet below - I have a weighted, connected graph that models a software process using a DiscreteMarkovProcess. I set some of the edge weights to zero to ”turn off” some of the ...

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[Counting automorphisms that preserve a group action] http://mathematica.stackexchange.com/questions/111102/counting-automorphisms-that-preserve-a-group-action

Note: the math, I believe, is not the problem here. The issue is not that I get the wrong answer, just that my code does not terminate. So, if you do not feel comfortable with the problem below, I do ...

61 Tuesday, March 22, 2016

==================================
Top new questions this week:
==================================

[General techniques for creating complex animations] http://mathematica.stackexchange.com/questions/110190/general-techniques-for-creating-complex-animations

I love good animations of abstract concepts, and when I try to create them myself, I prefer doing so in code to make sure they are exact (and because some things are just way too fiddly to do by ...

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[Is there a numerical method/built-in to calculate the boundary of a set of graphs?] http://mathematica.stackexchange.com/questions/110236/is-there-a-numerical-method-built-in-to-calculate-the-boundary-of-a-set-of-graph

Recently, I encounted a geometry problem in my work. For a curve-family that owns the following parametric equation:

...

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[Creating 3D dice] http://mathematica.stackexchange.com/questions/110295/creating-3d-dice

How to create an image of a 3D die from the 2D images?

There is an example in the Documentation Center

I tried

but it doesn’t work.

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[Regression /Bug in DelaunayMesh from 10.3.1 to 10.4] http://mathematica.stackexchange.com/questions/110598/regression-bug-in-delaunaymesh-from-10-3-1-to-10-4

In answering this question, I realized the OP and I were obtaining different results from the alphaShapes2D code. This question was updated with additional point sets, but when I tried to use my ...

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[Handling Kernel quit] http://mathematica.stackexchange.com/questions/110162/handling-kernel-quit

One can use $Epilog to do something when the Kernel is quit or put an end.m file next to the init.m. For Wolfram System sessions,$Epilog is conventionally defined to read in a file named end.m.

...

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[What is the closest star to Earth other than the sun?] http://mathematica.stackexchange.com/questions/110559/what-is-the-closest-star-to-earth-other-than-the-sun

How to find the Sun’s nearest neighbor star using Mathematica? I tried

but it didn’t work

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[Find the Panda - Dudolf panda puzzle] http://mathematica.stackexchange.com/questions/110497/find-the-panda-dudolf-panda-puzzle

I recently find this puzzle where you have to find the panda from a group of snowmen. Having a horrible eyesight I have to take help of mathematica to find it.

================================== Greatest hits from previous weeks: ==================================

[How to make use of Associations?] http://mathematica.stackexchange.com/questions/52393/how-to-make-use-of-associations

I have been curious about it for long. Now that Mathematica 10 arrives, I think it’s time to ask the question: How the new Association data structure would be used to improve Mathematica programming?

...

—————————-

[Mathematica 10.0.x freezes in Initializing kernels] http://mathematica.stackexchange.com/questions/92931/mathematica-10-0-x-freezes-in-initializing-kernels

Bug caused by paclet update and fixed by paclet update.

I updated to Windows 10 and have been running Mathematica fine on it for over a month. For some reason, it has just stopped working. I don’t ...

================================== Can you answer these? ==================================

Bug introduced in 6.0 and persisting through 10.4

SiegelTheta is new in 6.0

In order to test the SiegelTheta function, I wanted to evaluate it for when

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[How do I invert a function with two arguments?] http://mathematica.stackexchange.com/questions/110146/how-do-i-invert-a-function-with-two-arguments

I begin with a function defined by

c[u_, mH_]

I won’t go into details because it comes from countless lines of partial differential equations, boundary conditions and perturbations. But suffice to ...

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[Cell format for usage statements] http://mathematica.stackexchange.com/questions/110199/cell-format-for-usage-statements

The myFunc::usage statement is intended to be a simple summary of the symbol and its arguments. However, many users like myself opt out of using Workbench and prefer to maximize use of the Notebook ...

62 Tuesday, March 15, 2016

==================================
Top new questions this week:
==================================

[General strategies to write big code in Mathematica?] http://mathematica.stackexchange.com/questions/109888/general-strategies-to-write-big-code-in-mathematica

I think after six months of exposure to Mathematica and the Wolfram Language I am fairly OK with writing short codes and snippets. However, what are some general strategies to use in order to write ...

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[How to make the digits of Pi go around in a spiral like this?] http://mathematica.stackexchange.com/questions/109982/how-to-make-the-digits-of-%cf%80-go-around-in-a-spiral-like-this

Here is a start.

MapIndexed[Text[Reverse[First[RealDigits[Pi,10,252]]][[Tr@#2]],#]&amp;,
Table[{t Cos[t],t Sin[t]},{t,0,16Pi,0.2}]]//Graphics

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[Guidelines for planning custom GUI in Mathematica] http://mathematica.stackexchange.com/questions/109525/guidelines-for-planning-custom-gui-in-mathematica

Intro

Usually I don’t have to care (it hurts my brain though) about misaligned details, additional/missing pixels. But currently I’m participating in a project where the design matters and I have to ...

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[Wrong labelling of contours with ListContourPlot] http://mathematica.stackexchange.com/questions/109778/wrong-labelling-of-contours-with-listcontourplot

Bug introduced in 9.0 or earlier and persisting through 10.4

Consider this example:

dat = Table[Re[Sqrt[1 - x^2 - y^2]], {x, -1.1, 1.1, 0.01}, {y, -1.1, 1.1, 0.01}];

Now pay special attention to ...

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[Fit image of mountain to gaussian] http://mathematica.stackexchange.com/questions/109946/fit-image-of-mountain-to-gaussian

I want to detect the edges of an image of a mountain and then fit that to a gaussian.

I am unsure about how to only get the mountain edge, rather than every single edge in the image.

How do I ...

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[What is a printer’s point?] http://mathematica.stackexchange.com/questions/109813/what-is-a-printers-point

According to the documentation it is a basic unit for size spec. WindowSize and ImageSize says:

I think all the statements below are correct yet I would like to know for sure:

Is this the same ...

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[A weird issue with Interval[$MaxNumber]] http://mathematica.stackexchange.com/questions/109597/a-weird-issue-with-intervalmaxnumber From the Interval documentation: For approximate machine- or arbitrary-precision numbers x, Interval[x] yields an interval reflecting the uncertainty in x.$Version
(* 10.4.0 for Microsoft  ...

================================== Greatest hits from previous weeks: ==================================

[What is the best Mathematica tutorial for young people?] http://mathematica.stackexchange.com/questions/733/what-is-the-best-mathematica-tutorial-for-young-people

As Conrad Wolfram said at the TED conference, in the future kids should focus more on new technology. Computers compute better than humans, so we should focus more on thinking and getting the ...

—————————-

[Is Mathematica worth it for me?] http://mathematica.stackexchange.com/questions/100072/is-mathematica-worth-it-for-me

I’m 13 years old and in 7th grade. I’m currently in Algebra 1, and I have fallen in love with both math and programming.

When I came upon Mathematica, it was awesome. My two favorite things fused ...

================================== Can you answer these? ==================================

[Building a classifier for images] http://mathematica.stackexchange.com/questions/109484/building-a-classifier-for-images

I tried to build a classifier for some images that I have with the following code:

class1 = Import /@
FileNames["*",
"location1"];

class2 = Import /@
FileNames["*",
"location2"];

...

—————————-

[AppearanceRules on multipage Web Form] http://mathematica.stackexchange.com/questions/109887/appearancerules-on-multipage-web-form

I’m attempting to make a web survey using FormFunction. To list the questions I am using AppearanceRules to give each page an individual title. I can’t find any documentation in regards to ...

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I would like a function that computes Cartesian product of two
sets z=(Tuples@{#1,#2}), and computes the number of elements in this set(list)
Length@z which have a x elements in #1 and y elements in  ...

63 Tuesday, March 8, 2016

==================================
Top new questions this week:
==================================

[How to design CloudObjects with reasonable CloudCredit costs] http://mathematica.stackexchange.com/questions/109259/how-to-design-cloudobjects-with-reasonable-cloudcredit-costs

Note: I originally thought to post this as a non-answer/extended comment to this question; however I feared that I would end up hijacking the original question. It is likely a duplicate with the ...

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[How to merge two screenshots into one image?] http://mathematica.stackexchange.com/questions/109196/how-to-merge-two-screenshots-into-one-image

I have two screenshots:

For a long screenshot picture I usually use PhotoShop to combine both images:

How do I use Mathematica to make an automated program to do this? This is my current ...

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[Current (e.g., ca. 2016 / MMa 10 / WP 4+) best practices for embedding interactive content in WordPress?] http://mathematica.stackexchange.com/questions/109231/current-e-g-ca-2016-mma-10-wp-4-best-practices-for-embedding-interacti

My strategy, in the past, has been to embed interactive CDF files into my WordPress blog for student’s to use (Much like the Wolfram Demonstration Project).

As many know 1) the ’Plug in’ ...

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[Getting data from FRED] http://mathematica.stackexchange.com/questions/109203/getting-data-from-fred

Mathematica V10.4 supports a service for connection to FRED. If you create a connection with

fred = ServiceConnect["FederalReserveEconomicData"]

(you need to have created a login id to be ...

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[Do[ ]s and Don’t[ ]s when teaching Mathematica in undergraduate courses] http://mathematica.stackexchange.com/questions/108987/do-s-and-dont-s-when-teaching-mathematica-in-undergraduate-courses

Question motivated by some horrific homework-related posts that I don’t dare to link:

What are the top Do’s and Dont’s when teaching Mathematica to undergrads?

I don’t ask for the design of a ...

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[Primes Race (Mathematica Efficiency)] http://mathematica.stackexchange.com/questions/108798/primes-race-mathematica-efficiency

I am currently working with a paper that deals with this concept of Prime Races. You essentially create a large list of prime numbers and then split that list into two teams. You are assigned to ...

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[Gathering of list] http://mathematica.stackexchange.com/questions/109104/gathering-of-list

Problem statement

The following challenge was recently posted to the J language programming forum by Skip Cave http://jsoftware.com/pipermail/programming/2016-March/044561.html

”The animal ...

================================== Greatest hits from previous weeks: ==================================

[Find eigen energies of time-independent Schrodinger equation] http://mathematica.stackexchange.com/questions/32293/find-eigen-energies-of-time-independent-schr%c3%b6dinger-equation

I’m trying to get the eigenvalues of a one dimensional time-independent Schrodinger equation,

where U(x) is some potential and Ei is the ...

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[How to plot an ellipse?] http://mathematica.stackexchange.com/questions/20100/how-to-plot-an-ellipse

I’m new to Mathematica, and I’m finding it difficult to plot an ellipse. I tried using

Plot[(x/5)^2 + (y/3)^2 == 1, {x, -5, 5}, {y, -3, 3}]

but I’m getting some errors. Is there something wrong ...

================================== Can you answer these? ==================================

[Mimicking Console and Output Matlab/Rstudio-Style Environment in Mathematica?] http://mathematica.stackexchange.com/questions/109179/mimicking-console-and-output-matlab-rstudio-style-environment-in-mathematica

I am trying to crudely approximate the RStudio or Matlab Workspace environment in Mathematica by having a specific notebook function as the ”console notebook” where I execute commands and another ...

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[What is the equivalent of $ModuleNumber for DynamicModule] http://mathematica.stackexchange.com/questions/108850/what-is-the-equivalent-of-modulenumber-for-dynamicmodule Mathematica provides access to$ModuleNumber which can be enormously useful.

Unfortunately I can’t find the equivalent for DynamicModule.

I know such a parameter must exist for two reasons:

First, ...

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[Why this expression is not evaluated correctly?] http://mathematica.stackexchange.com/questions/109310/why-this-expression-is-not-evaluated-correctly

Look at the following code:

f[kx_, ky_] := -1*(Exp[I*kx] + 2*Exp[-I*kx/2]*Cos[Sqrt[3]*ky/2]);
H = {{1, f[kx, ky]}, {Conjugate[f[kx, ky]], -1}};
D[Norm[Normalize[Eigensystem[H][[2]][[1]]]], kx] /. {kx  ...

- asked by Chong Wang (1 vote)

64 Tuesday, March 1, 2016

==================================
Top new questions this week:
==================================

[Typoglycemia text manipulation] http://mathematica.stackexchange.com/questions/108563/typoglycemia-text-manipulation

I was just reading the article: https://en.wikipedia.org/wiki/Typoglycemia

”... readers can understand the meaning of words in a sentence even when the interior letters of each word are scrambled ...

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[Version inconsistency with optional arguments: what if the default value doesn’t match the pattern?] http://mathematica.stackexchange.com/questions/108636/version-inconsistency-with-optional-arguments-what-if-the-default-value-doesnt

I just came across some weird behaviour. Take this function definition:

ClearAll[f]
f[vs_List : All] := "match"

The default value of vs is All. Now think about what f[] should return. Should it ...

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[Reproducing a ranking function that behaves like Excel’s RANK] http://mathematica.stackexchange.com/questions/108309/reproducing-a-ranking-function-that-behaves-like-excels-rank

I tried to find a function or expression in Mathematica that produces the same output as the RANK function in Excel (see its description here), but unfortunately I could not find an existing one.

For ...

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[Given a large binary matrix, find the largest submatrix containing non-zero elements] http://mathematica.stackexchange.com/questions/108299/given-a-large-binary-matrix-find-the-largest-submatrix-containing-non-zero-elem

I’m looking for a way to reduce a binary matrix containing zeros at some positions into a matrix that contains no zeros by deleting rows and columns of the original matrix until only non-zero values ...

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[Generating a list of numbers that are not multiples of 4] http://mathematica.stackexchange.com/questions/108502/generating-a-list-of-numbers-that-are-not-multiples-of-4

I want to write simple code that will list all numbers from to that are not multiples of .

And in this case I consider that

n=100

For[i = 1, i &lt;= n, i++, If[Mod[i, 4] != 0,  ...

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[Can Mathematica convert a RegularExpression into a StringExpression or vice-versa?] http://mathematica.stackexchange.com/questions/108481/can-mathematica-convert-a-regularexpression-into-a-stringexpression-or-vice-vers

I know that Mathematica can perform string comparison using either StringExpression or RegularExpression. Although regular expressions are more common, I feel that the Mathematica StringExpressions ...

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[What options and settings can be used to create print quality typeset documents with Mathematica?] http://mathematica.stackexchange.com/questions/108553/what-options-and-settings-can-be-used-to-create-print-quality-typeset-documents

If I am proficient on dedicated typesetting software (e.g. LaTeX) it makes sense to use that for typesetting but if I am not how can I use Mathematica to create good quality documents.

The question ...

================================== Greatest hits from previous weeks: ==================================

[1 Plot, 2 Scale/Axis] http://mathematica.stackexchange.com/questions/627/1-plot-2-scale-axis

I would like to plot those two datasets on top of each other. But they have very different range on the axis. How can I have two different axis?

I found the following on the help menu but quite ...

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[Generating a Sierpinski carpet] http://mathematica.stackexchange.com/questions/22052/generating-a-sierpinski-carpet

I am trying to draw a Sierpinski_carpet. I have code that works, but I think there is a more elegant way to do than my way. Maybe I couls use Tuples or Permutations or some similar function to ...

================================== Can you answer these? ==================================

[Prepending a sequence with zeros gives ‘FindGeneratingFunction‘ hard time] http://mathematica.stackexchange.com/questions/108451/prepending-a-sequence-with-zeros-gives-findgeneratingfunction-hard-time

FindGeneratingFunction[{1, 3, 11, 43, 171, 683, 2731, 10923, 43691, 174763}, t]

gives the answer (namely (1 - 2 t)/(1 - 5 t + 4 t^2)) almost immediately.
However if I prepend zeros in  ...

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[Obtaining a Previously Constructed Function as Desired Output] http://mathematica.stackexchange.com/questions/108373/obtaining-a-previously-constructed-function-as-desired-output

I was playing around with some Generalized Trigonometric Functions defined as follows;

w[n_] := E^((2*\[Pi]*I)/n)

Ncos[n_, x_] := Expand[(1/n)*Sum[E^(x*w[2 n]^(2 k + 1)), {k, 0, n - 1}]]

...

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[The implementation of FunctionRange] http://mathematica.stackexchange.com/questions/108308/the-implementation-of-functionrange

How exactly does the FunctionRange work? What kind of algorithm does it use? I looked it up in the manual but it doesn’t provide any references or even a name of the algorithm.

It also accepts a ...

65 Tuesday, February 23, 2016

==================================
Top new questions this week:
==================================

[++ is dangerous for C programmers] http://mathematica.stackexchange.com/questions/107619/is-dangerous-for-c-programmers

I noticed this fact, that may be misleading for programmers used to C language.

In Mathematica, if you have a function f[] and an array v, and you write

v[[ f[] ]]++

the function f is called ...

[Apply multiple functions to same list] http://mathematica.stackexchange.com/questions/107721/apply-multiple-functions-to-same-list

I’d like to get the Min, Max, Median, Mean, etc. for the same list. For now I’m doing the following:

y = {1, 2, 3, 4, 5, 6, 7};
Map[{Max[#] , Min[#] , Median[#], Mean[#]} &amp;, y, {0}]

It seems ...

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[How do I delete all items that occur more than once?] http://mathematica.stackexchange.com/questions/107483/how-do-i-delete-all-items-that-occur-more-than-once

DeleteDuplicates works fine but leaves a single copy of the duplicated item.
I need to remove all items that occur more than once i.e.
{{1,2},{1,2},{3,4}} -> {3,4}. There must be a one-liner.

[Puzzle with Mathematica] http://mathematica.stackexchange.com/questions/107859/puzzle-with-mathematica

Hello everyone, This is a puzzle I got from someone via social media. Basically, we need to fill up the boxes with the numbers 1-9 (no repetitions) that fit the multiplication and addition ...

[Finite Element Method and ElementMeshInterpolation issue in v10.3] http://mathematica.stackexchange.com/questions/107668/finite-element-method-and-elementmeshinterpolation-issue-in-v10-3

I recently installed Mathematica v10.3 and checked a project I was working on few months ago under Mathematica v10.1.

In this project I solve a PDE with NDSolve and Finite Element Method over a 2D ...

[Efficient way to make subsets of list with placeholders] http://mathematica.stackexchange.com/questions/107517/efficient-way-to-make-subsets-of-list-with-placeholders

I have an arbitrary list of unique elements:

lst = {a, b, c, d}

Documentation allows finding subsets with same number of elements, say 2:

Subsets[lst, {2}]
(* {{a, b}, {a, c}, {a, d}, {b, c}, {b,  ...

[Double Sum Involving Condition] http://mathematica.stackexchange.com/questions/107652/double-sum-involving-condition

I would like to compute the dimensions of some small free nilpotent Lie algebras. However, I am totally new to this and I could not figure out how to write the double sum which gives the dimension of ...

================================== Greatest hits from previous weeks: ==================================

[Why round to even integers?] http://mathematica.stackexchange.com/questions/2116/why-round-to-even-integers

According to the Mathematica help: Round rounds numbers of the form x.5 toward the nearest even integer.

For example:

Round[0.5, 1.5, 2.5, 3.5, 4.5]

gives

0, 2, 2, 4, 4

What’s the ...

[Calling Correct Function for Plotting DiracDelta] http://mathematica.stackexchange.com/questions/3506/calling-correct-function-for-plotting-diracdelta

I am wondering what is the correct function in Mathematica to plot the true impulse function, better known as the DiracDelta[] function. When using this inside of a function or just the function ...

================================== Can you answer these? ==================================

[How many clusters does DominantColors return?] http://mathematica.stackexchange.com/questions/107842/how-many-clusters-does-dominantcolors-return

Is there any documentation on how it automatically chooses the number of colors - does it use X-means?

[Using GNU Make to compile MathLink program automatically removes a file] http://mathematica.stackexchange.com/questions/107863/using-gnu-make-to-compile-mathlink-program-automatically-removes-a-file

It’s possible that this question belongs on Stackoverflow; however, the Mathematica context may be important so I’m asking here first.

I am working on a project to interact with sensors connected to ...

- asked by bobthechemist (1 vote)

[Why does Solve work in v9.0.1 but not in v10.3.1] http://mathematica.stackexchange.com/questions/107585/why-does-solve-work-in-v9-0-1-but-not-in-v10-3-1

I want to solve the following DE

The Mathematica command is

sol1 = DSolve[P[t] == k (M - P[t]) P[t], P[t], t]

P[t_] = sol1[[1,1,2]]

sol2 ...

66 Tuesday, February 16, 2016

==================================
Top new questions this week:
==================================

[Why does Mathematica report that = ?] http://mathematica.stackexchange.com/questions/106162/why-does-mathematica-report-that-int-1-infty-frac-sin-sqrtx-sqrtxdx

Bug introduced in 7.0 or earlier and persisting through 10.3.1 or later

Mathematica 10 gives the following very odd result,

Integrate[Sin[Sqrt[x]]/Sqrt[x], {x, 1, Infinity}]
(* 2 Cos[1] *)

which seems ...

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[How was Mathematica built?] http://mathematica.stackexchange.com/questions/106020/how-was-mathematica-built

I’ve been wondering this for a while now: How was Mathematica built?

Is it written in Haskell? C++? I’d love to get a taste of the wizardry behind this incredible software.

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[How can one manually change the rule ordering] http://mathematica.stackexchange.com/questions/106068/how-can-one-manually-change-the-rule-ordering

I have a function which has some general behaviour, but that should act on some specific kinds of objects in some other way. I know that Mathematica is supposed to automatically order the rules so ...

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[What governs images resizing in the FrontEnd environment] http://mathematica.stackexchange.com/questions/106204/what-governs-images-resizing-in-the-frontend-environment

What is responsible for the middle Row images’ size? And why single image row is different?

{#, Row[{#, #}], Row[{#}]} &amp; @ RandomImage[1, {100, 100}]

I know I can prevent that with mapping ...

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[How to report a bug in Mathematica] http://mathematica.stackexchange.com/questions/106227/how-to-report-a-bug-in-mathematica

I found two bugs in Mathematica (10.3 and 10.1) and I need to report it. Is there any tools to do that or section on Wolfram website?

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[Reproduce image effect in Mathematica] http://mathematica.stackexchange.com/questions/106165/reproduce-image-effect-in-mathematica

How do I create the ”dotifying” effect below in Mathematica?

I have tried to use Rasterize first to get the image pixelated, but how do I get the disc/circle pattern then?

image :=  ...

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[How to make a Cahn–Hilliard model GIF] http://mathematica.stackexchange.com/questions/106333/how-to-make-a-cahn-hilliard-model-gif

The question derived from @Jason B ’s answer.I wanna make it but don’t how to do. But we can get some rule about the GIF

The change of the total pixel is very small.

imagelist =  ...

================================== Greatest hits from previous weeks: ==================================

[Generating visually pleasing circle packs] http://mathematica.stackexchange.com/questions/40334/generating-visually-pleasing-circle-packs

EDIT: (my conclusion and thank you note) I want to thank you all guys for this unexpected intellectual and artistic journey. Hope you had fun and enjoyed it the same as I did.

I would like to ...

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[How to calculate contour integrals with Mathematica?] http://mathematica.stackexchange.com/questions/34073/how-to-calculate-contour-integrals-with-mathematica

How to calculate the integral of over the unit circle counterclockwise for each branch of the integrand?

================================== Can you answer these? ==================================

[Extracting control points from BezierFunction] http://mathematica.stackexchange.com/questions/107435/extracting-control-points-from-bezierfunction

given a Bezier surface, is there a simple way to express (from the First fundamental form) again in Bezier form?

More precisely, I have control points and a Bezier function :

cps = {{{0,  ...

- asked by Osmihran (1 vote)

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[Order of importing data from files] http://mathematica.stackexchange.com/questions/106296/order-of-importing-data-from-files

I have many text files numbered from 1 to 1 million in numerical order. Within each text file is 5 columns of data (TAB spaced) with many rows. I effectively want to take the minimum value from each ...

- asked by David (1 vote)

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[WolframScript Unix - Script Parameters on Raspberry Pi] http://mathematica.stackexchange.com/questions/107436/wolframscript-unix-script-parameters-on-raspberry-pi

I’m currently trying to run a script with 2 parameters which gets called via a BASH script. The script runs fine however the list of passed parameters , \$ScriptCommandLine, always stays empty.

...

67 Tuesday, February 9, 2016

==================================
Top new questions this week:
==================================

[Partitioning a list when the cumulative sum exceeds 1] http://mathematica.stackexchange.com/questions/105792/partitioning-a-list-when-the-cumulative-sum-exceeds-1

I have a long list of say 1 million Uniform(0,1) random numbers, such as:

dat = {0.71, 0.685, 0.16, 0.82, 0.73, 0.44, 0.89, 0.02, 0.47, 0.65}

I want to partition this list whenever the cumulative ...

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[How to extract a contour line (or a region) from a ContourPlot?] http://mathematica.stackexchange.com/questions/105750/how-to-extract-a-contour-line-or-a-region-from-a-contourplot

Given a ContourPlot with a set of contours, say, this:

is it possible to get the contours separating domains with the different colors in the form of lists?

For example, how to extract the ...

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[Using NDSolve to find particle trajectory] http://mathematica.stackexchange.com/questions/105859/using-ndsolve-to-find-particle-trajectory

I’m trying to simulate a particle in an electric and magnetic fields, but numerically instead of analytically. This is basically solving the equation

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[why MatchQ is fast and Replace slow?] http://mathematica.stackexchange.com/questions/105626/why-matchq-is-fast-and-replace-slow

Consider a large expression, say a polynomial with 25 terms

expr=Product[Unique["a"],{i,1,25}];

to which you apply the following replacement rule:

rep={x_ f[y_] /; FreeQ[x, y] -&gt; 0};

Since f ...

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[Use of some functions of the Developer Utility Package, such as BesselSimplify] http://mathematica.stackexchange.com/questions/105643/use-of-some-functions-of-the-developer-utility-package-such-as-besselsimplify

The Developer Utilities Package contains several functions that look interesting:

BesselSimplify
GammaSimplify
PolyGammaSimplify
ZetaSimplify
PolyLogSimplify

However for each ...

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[Plot of is missing from ] http://mathematica.stackexchange.com/questions/105774/plot-of-sinxx-is-missing-from-x-143

When plotting the graph of I noticed that there is no plot from about . I don’t suppose there is a purely mathematical explanation for this?

So, why is there no graph in ...

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[Brackets around each item in matrix] http://mathematica.stackexchange.com/questions/105864/brackets-around-each-item-in-matrix

I have a matrix where every item in the matrix has its own brackets that I do not want. How can I remove the brackets around each item?

================================== Greatest hits from previous weeks: ==================================

[How do I clear all user defined symbols?] http://mathematica.stackexchange.com/questions/850/how-do-i-clear-all-user-defined-symbols

Is there some way to do this other than going to Evaluation -&gt; Quit kernel and firing a new one up?

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[Drawing a square root spiral] http://mathematica.stackexchange.com/questions/66969/drawing-a-square-root-spiral

Here is a start. I’m looking for a nice way to draw it.

Graphics[{EdgeForm[Black], White,
Polygon @ {{0, 0}, {-1, 0},
Sqrt[2] {Cos[#], Sin[#]} &amp;[Pi - (ArcCot[1])]},
Polygon @ {{0,  ...

================================== Can you answer these? ==================================

[Weird behaviour for a vector InterpolatingFunction inside an NDSolve] http://mathematica.stackexchange.com/questions/105594/weird-behaviour-for-a-vector-interpolatingfunction-inside-an-ndsolve

I have run into some weird behaviour on the part of NDSolve which I find pretty bizarre and which I would like to understand better.

Suppose, for the sake of argument, that I want to study the ODE ...

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[NDeigensystem returns error due to mesh discretization when calculating vibrations of a cantilever] http://mathematica.stackexchange.com/questions/105840/ndeigensystem-returns-error-due-to-mesh-discretization-when-calculating-vibratio

There was an transcription error in the code I provided in a previous post:

NDeigensystem returns complex non-hermitian error for the calculation of vibrations of a cantilever

This resulted in it ...

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[WhenEvent and Resetting of Variable in PDE when operation succeeds] http://mathematica.stackexchange.com/questions/105781/whenevent-and-resetting-of-variable-in-pde-when-operation-succeeds

I have had success in using WhenEvent to reset or change a variable within NDSolve with ordinary differential equations. My working, functioning MWE is:

Clear[usol, u, t, x, \[Lambda]]
usol = NDSolveValue[
...

68 Tuesday, February 2, 2016

==================================
Top new questions this week:
==================================

[Exponential fitting - isn’t actually a BUG there?] http://mathematica.stackexchange.com/questions/105002/exponential-fitting-isnt-actually-a-bug-there

There are many questions on this site about wrong exponential fitting in Mathematica but no one considers this well-known problem as a potential bug. Usually people suggest well-known workarounds ...

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[Detecting components in timeseries] http://mathematica.stackexchange.com/questions/104950/detecting-components-in-timeseries

I’m looking at this sequence of values:

I’d like to detect the points where the center of the time-series shifts (around x=1000 and x=2000). Many of the transforms and smoothing methods I have ...

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[Generating Tuples with restrictions] http://mathematica.stackexchange.com/questions/105139/generating-tuples-with-restrictions

I am interested in a certain subset of all tuples. Generating all with Tuples and then filtering is wasteful, and will ”blow up” very quickly.

For a concrete example, let’s say I want to find all ...

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[Grid cuts my images] http://mathematica.stackexchange.com/questions/105061/grid-cuts-my-images

Bug introduced in V9.0 or earlier

and persisting through V10.3.1 or later

pic2 = ImageResize[
ImageCrop@Rasterize@Graphics@Disk[],
{Automatic, 40}]

Grid[{{pic2}}]

This is just ...

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[Non Standard Eigenfunction Plots of the Laplacian Over the Unit Square] http://mathematica.stackexchange.com/questions/105264/non-standard-eigenfunction-plots-of-the-laplacian-over-the-unit-square

I have recently been plotting eigenfunctions of the laplacian over the unit square using the NDEigensystem command. However, I have noticed something in the plots which puzzles me.

Below is an image ...

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[How to count the number of the tube] http://mathematica.stackexchange.com/questions/105229/how-to-count-the-number-of-the-tube

There is a picture Get the binary image

binimg = ColorSeparate[img][[2]] // Binarize[#, 0.25] &amp; // Thinning

Visulize the result of regconization

lines = ImageLines[binimg, 0.074];
...

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[Detecting X or O in a small image] http://mathematica.stackexchange.com/questions/105327/detecting-x-or-o-in-a-small-image

I am making a robot that plays Tic Tac Toe

Currently, I have code that will parse the board and separate it into an array of 9 images, each space on the board. How can I detect if the image ...

================================== Greatest hits from previous weeks: ==================================

I’m aware that I can use (* ... *) to comment out stuff in a notebook. Many languages have a syntax for single-line comments, such as

// in C, C++, Java, C#, ...
# in shell, Python, ...

For ...

—————————-

I use Mathematica mainly as an aid in symbolic attacks on problems, usually intermediate or harder and often number theoretic. While Reduce, Simplify, et al. are remarkably powerful, they of course ...

================================== Can you answer these? ==================================

[What are the time and space complexities of Classify/Predict?] http://mathematica.stackexchange.com/questions/105366/what-are-the-time-and-space-complexities-of-classify-predict

Does anyone have knowledge of the O(n) time and space complexities for various model types supported by Classify[] and Predict[] during training and evaluation?

Here are a list of supported model ...

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[Finding eigenvalues in Mathematica: why so slow?] http://mathematica.stackexchange.com/questions/105224/finding-eigenvalues-in-mathematica-why-so-slow

I am trying to find the eigensystem of a large sparse real symmetric matrix, and I only need the lowest 40 or so eigenstates. The relevant code is as follows:

TheModel[V0_, V1_, V2_, index_,  ...

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[Notebook created in cloud has odd errors in Mathematica 10.3.1] http://mathematica.stackexchange.com/questions/105019/notebook-created-in-cloud-has-odd-errors-in-mathematica-10-3-1

I’ve downloaded a notebook from develop.wolframcloud.com and opened it in 10.3.1 (running on Win 10). When I evaluate some cells I get syntax errors along the lines of...

Syntax::sntxf: "\"Clear[\"  ...

69 Tuesday, January 26, 2016

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Top new questions this week:
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[List of Mathematica related acronyms and their real meaning] http://mathematica.stackexchange.com/questions/104593/list-of-mathematica-related-acronyms-and-their-real-meaning

A few years ago, Wolfram Inc. not only started to rename things around Mathematica, a lot of new technologies and frameworks were introduced as well. Now, we are left with a lot of acronyms and ...

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[What would you ask Mathematica to do on a big system?] http://mathematica.stackexchange.com/questions/104842/what-would-you-ask-mathematica-to-do-on-a-big-system

Our hardware supplier has given us the opportunity to test Mathematica on a big Windows system. The specs will be 1 to 4 TB of working memory and 12 sockets with 18 cores each. I got 1 full week of ...

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[What algorithm do the Compress and Uncompress functions use?] http://mathematica.stackexchange.com/questions/104660/what-algorithm-do-the-compress-and-uncompress-functions-use

Compress and Uncompress are used internally by Mathematica to compress things like 3D data in notebook files - data that I’d like to read independently. Does anyone have any idea if the compression ...

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[Is there any predictor-corrector method in Mathematica for solving nonlinear system of algebraic equations?] http://mathematica.stackexchange.com/questions/104578/is-there-any-predictor-corrector-method-in-mathematica-for-solving-nonlinear-sys

The FindRoot Function in Matheatica can easily be used to solve systems of nonlinear algebraic equations. But, I want to solve a system of nonlinear equations with variations of some parameters.

...

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[How do I define a periodic region?] http://mathematica.stackexchange.com/questions/104723/how-do-i-define-a-periodic-region

I’m trying to create a region of ”thick” grid-lines, like so

GRID = ImplicitRegion[((0 &lt;= x &lt;= 1 || 2 &lt;= x &lt;= 3 || 4 &lt;= x &lt;= 5 || 6 &lt;= x &lt;= 7 ||
8 &lt;= x &lt;= 9) || (0  ...

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[Zoom in on a 2D graph] http://mathematica.stackexchange.com/questions/104718/zoom-in-on-a-2d-graph

I have seen many queries on zooming in on plots etc. But I haven’t seen any regarding 2D graphs. For eg if I have a graph like

Graph[{1-&gt;2, 2-&gt;3, 3-&gt;1}].

It will create a graph. I have a ...

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[Fitting a curve to an image object: not a superellipse, not an egg curve.. what else?] http://mathematica.stackexchange.com/questions/104419/fitting-a-curve-to-an-image-object-not-a-superellipse-not-an-egg-curve-what

I’m facing the problem of quantifying the morphology of objects with such a shape (nannoconids...

they are fossils).

One of the final goals is to produce a solid of revolution and compute ...

================================== Greatest hits from previous weeks: ==================================

[Drawing a square root spiral] http://mathematica.stackexchange.com/questions/66969/drawing-a-square-root-spiral

Here is a start. I’m looking for a nice way to draw it.

Graphics[{EdgeForm[Black], White,
Polygon @ {{0, 0}, {-1, 0},
Sqrt[2] {Cos[#], Sin[#]} &amp;[Pi - (ArcCot[1])]},
Polygon @ {{0,  ...

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I use Mathematica mainly as an aid in symbolic attacks on problems, usually intermediate or harder and often number theoretic. While Reduce, Simplify, et al. are remarkably powerful, they of course ...

================================== Can you answer these? ==================================

[Way to make contour labels on SliceContourPlot3D?] http://mathematica.stackexchange.com/questions/104590/way-to-make-contour-labels-on-slicecontourplot3d

SliceContourPlot3D doesn’t seem to come with the option of putting contour labels on the plots as far as I can see. I’m using the XStackedPlanes option. I don’t see any information about how one might ...

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[Implementation of a matrix formula] http://mathematica.stackexchange.com/questions/104463/implementation-of-a-matrix-formula

For the Bezier surface, which owns the following matrix definition:

where, denotes Bernstein-basis.

vec1 = {B[0],...,B[m]};
mat = {{P[0,0],...P[0,n]},...,{P[m,0],...P[m,n]}};
vec2=  ...

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[Can one preserve the appearance of the HorizontalGauge?] http://mathematica.stackexchange.com/questions/104524/can-one-preserve-the-appearance-of-the-horizontalgauge

I use sometimes the HorizontalGauge instead of a slider in Manipulateor instead of the ProgressIndicator. I find it very convenient, since it gives quantitative information on the status of the ...