4.41.1 Top new questions this week

4.41.1.1 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)

4.41.1.2 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)

4.41.1.3 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)

4.41.1.4 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)

4.41.1.5 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)

4.41.1.6 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)

4.41.1.7 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)