4.34 Tuesday, April 25, 2017

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Top new questions this week: 
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[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, ...

- asked by Kuba (20 votes), answered by halirutan (7 votes)

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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 ...

- asked by Shadowray (15 votes), answered by Itai Seggev (11 votes)

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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?

- asked by MB1965 (13 votes), answered by MB1965 (13 votes)

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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 ...

- asked by Richard (12 votes), answered by Szabolcs (12 votes)

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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 ...

- asked by mickep (10 votes), answered by Simon Woods (13 votes)

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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 ...

- asked by Jerry (10 votes), answered by Szabolcs (10 votes)

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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 ...

- asked by yode (9 votes), answered by kglr (2 votes)

================================== 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 ...

- asked by J. M. (463 votes), answered by faysou (410 votes)

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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 ...

- asked by Matt Groff (20 votes), answered by Peter Breitfeld (16 votes)

================================== 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 ...

- asked by Joseph O’Rourke (4 votes)

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[Why ReadList ignores NullRecords for Number?] https://mathematica.stackexchange.com/questions/144149/why-readlist-ignores-nullrecords-for-number

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  ...

- asked by Alexey Popkov (5 votes)

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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 ...

- asked by gwr (3 votes)