11.20.2 Greatest hits from previous weeks

11.20.2.1 How to add a front-end to the free Wolfram Engine?
11.20.2.2 How to make Jacobian automatically in Mathematica
11.20.2.3 How to calculate contour integrals with Mathematica?
11.20.2.4 How to create a histogram from a given frequency table
11.20.2.5 How to find the position of elements in a list satisfying criteria
11.20.2.6 Crack CAPTCHA using deep learning
11.20.2.7 Drawing a square root spiral
11.20.2.1 How to add a front-end to the free Wolfram Engine?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=198839

https://blog.stephenwolfram.com/2019/05/launching-today-free-wolfram-engine-for-developers/ 
 
http://www.wolfram.com/engine/ 
 
The Free Wolfram Engine for Developers is available for pre-production ... 
[front-end] [free-wolfram-engine] [jupyter-notebook]
 
asked by Alexey Golyshev https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=23402 Score of 87
answered by Alexey Golyshev https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=23402 Score of 70
11.20.2.2 How to make Jacobian automatically in Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=5790

If we have two vectors, $a$ and $b$, how can I make Jacobian matrix automatically in Mathematica? 
 
$$ a=\left( 
\begin{array}{c} 
x_1^3+2x_2^2 \\ 
3x_1^4+7x_2 
\end{array} 
\right);b=\left( 
\begin{array}{... 
[vector-calculus]
 
asked by George Mills https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1012 Score of 46
answered by Jens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=245 Score of 61
11.20.2.3 How to calculate contour integrals with Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=34073

How to calculate the integral of $\frac{1}{\sqrt{4 z^2 + 4 z + 3}}$ over the unit circle counterclockwise for each branch of the integrand? 
[calculus-and-analysis] [complex]
 
asked by user64494 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7152 Score of 48
11.20.2.4 How to create a histogram from a given frequency table

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=70059

I wanted to draw a histogram as in the photo above, I typed the command: 
 
... 
[plotting] [histograms]
 
asked by Perw https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=23500 Score of 4
answered by bbgodfrey https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1063 Score of 7
11.20.2.5 How to find the position of elements in a list satisfying criteria

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=180

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. 
 
... 
[list-manipulation]
 
asked by PeterR https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=140 Score of 76
answered by J. M.'s missing motivation https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 Score of 82
11.20.2.6 Crack CAPTCHA using deep learning

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=143691

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 ... 
[machine-learning] [neural-networks] [ocr]
 
asked by xslittlegrass https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1364 Score of 92
answered by xslittlegrass https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1364 Score of 101
11.20.2.7 Drawing a square root spiral

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=66969

Here is a start. I'm looking for a nice way to draw it. 
 
... 
[graphics] [geometry]
 
asked by matrix42 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5379 Score of 26
answered by Bob Hanlon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9362 Score of 26