4.9 Tuesday, October 24, 2017

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Top new questions this week: 
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[Strange behavior of Table] https://mathematica.stackexchange.com/questions/158186/strange-behavior-of-table

Whenever I run the code

a = 0; 
code := (a++); 
Table[code; a, {1000}]

I get a list of 1000 zeros. However, if I replace 1000 with 100, then a get a list equal to Range[100]. Is this a bug or am I ...

- asked by Antonio De Juárez (12 votes), answered by Szabolcs (21 votes)

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[Large increase in integrate result leaf size after version 9. Looking for common cause] https://mathematica.stackexchange.com/questions/158059/large-increase-in-integrate-result-leaf-size-after-version-9-looking-for-common

reported to WRI. [CASE:3960295]

I run the CAS integration tests which contains 15000 integrals over number of Mathematica versions.

I found that the average leaf size of the anti-derivatives ...

- asked by Nasser (12 votes), answered by Itai Seggev (8 votes)

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[Convert Real packed array of pairs to Complex packed array] https://mathematica.stackexchange.com/questions/158082/convert-real-packed-array-of-pairs-to-complex-packed-array

I have a Real packed array arr. It may have arbitrary depth but 
Last@Dimensions[arr] == 2.  For example, 
 
arr = N@Partition[Partition[Range[24], {2}], 3]

I want to convert it to a Complex packed ...

- asked by Szabolcs (12 votes), answered by Carl Woll (9 votes)

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[Conversion of Matrix of Characters to a Matrix of Zeros and Ones based on Column Frequency] https://mathematica.stackexchange.com/questions/158465/conversion-of-matrix-of-characters-to-a-matrix-of-zeros-and-ones-based-on-column

I have a matrix of characters that I wish to convert to a matrix of 0’ s and 1’ s. Although the matrix is large[17, 4301], I subsample this for purposes of my question. The matrix is:

 m = {{"T",  ...

- asked by Stuart Poss (11 votes), answered by Nasser (4 votes)

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[What’s the fastest way to take Mean of a Tensor in given slot?] https://mathematica.stackexchange.com/questions/158345/whats-the-fastest-way-to-take-mean-of-a-tensor-in-given-slot

One should expect that the implementation of the built-in function Mean was quick. However, as I recently observed, this is not true at all, in particular for matrices. Just compare Mean to the ...

- asked by Henrik Schumacher (9 votes), answered by Carl Woll (6 votes)

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[Animating a Potential Function (eigenfunctions of Laplace’s equation)] https://mathematica.stackexchange.com/questions/158412/animating-a-potential-function-eigenfunctions-of-laplaces-equation

I have written the following DynamicModule. The idea is that you can change the boundary, calculate the eigenfunctions and then animate them. Here is the code:

DynamicModule[{pts, bdr = {{0, 0}, {1,  ...

- asked by Hugh (9 votes), answered by Kuba (8 votes)

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[How to implement a free version of WebImageSearch?] https://mathematica.stackexchange.com/questions/158134/how-to-implement-a-free-version-of-webimagesearch

I really don’t like functions that I have to pay for, if they can be implemented for free.

Is there a way to get around this pay-wall for WebImageSearch? Perhaps using some other free api or service? ...

- asked by M.R. (9 votes), answered by b3m2a1 (11 votes)

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

[How to express trigonometric equation in terms of of given trigonometric function?] https://mathematica.stackexchange.com/questions/434/how-to-express-trigonometric-equation-in-terms-of-of-given-trigonometric-functio

How can I express a trigonometric equation / identity in terms of a given trigonometric function?

using following trigonometric identities

Sin[x]^2+Cos[x]^2==1 
Sin[x]/Cos[x]==Tan[x] 
 ...

- asked by Prashant Bhate (27 votes), answered by Simon (34 votes)

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[Learn Mathematica (Wolfram) Language in one day] https://mathematica.stackexchange.com/questions/138366/learn-mathematica-wolfram-language-in-one-day

Currently I am trying to learn Python. Searching for relevant material I came across

X in Y minutes

and books with titles such as Learn Python in one day, in 24 hours, etc.

Similar material exists ...

- asked by dimitris (26 votes), answered by masterxilo (11 votes)

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

[How to draw a generic 3D closed shape to be analyzed in AceFEM?] https://mathematica.stackexchange.com/questions/158446/how-to-draw-a-generic-3d-closed-shape-to-be-analyzed-in-acefem

I would like to draw a 3D shape to test my AceGen procedure. I will insert the AceFEM part of my code. In this example, I have performed the analysis on a hexahedron element.

- asked by M.Rock (2 votes)

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[Kernel crash with KeySelect and repeated keys on list of rules] https://mathematica.stackexchange.com/questions/158421/kernel-crash-with-keyselect-and-repeated-keys-on-list-of-rules

After running

KeySelect[{"a" -> 0, "a" -> 1}, True &]

my kernel either hangs forever (possibly with the eventual warning that "the kernel is not responding to a Dynamic evaluation") or ...

- asked by masterxilo (2 votes)

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[How to remove circled noise from image] https://mathematica.stackexchange.com/questions/158123/how-to-remove-circled-noise-from-image

Consider a simplified example:

noise

noise = Table[ 
  RandomVariate[ 
    NormalDistribution[1, 0.2]] Sin[Sqrt[x^2 + y^2]]^8, {x, -16, 
   16 - 16/512, 32/512}, {y, -16, 16 - 16/512, 32/512}];

...

- asked by xslittlegrass (3 votes)