Mathematica Stack Exchange Community Digest

Top new questions this week:

Diploria labyrinthiformis - can we reproduce Ernst Haeckel's drawing of a brain coral?

Ernst Haeckel (1834 - 1919) was a German philosopher, physician, artist and professor of zoology at the University of Jena. He promoted and popularised Charles Darwin's work in Germany. Haeckel (left)...

graphics graphics3d generative-art fractals  
user avatar asked by eldo Score of 14
user avatar answered by flinty Score of 13

Numerically solving radial Schrödinger equation with Yukawa potential

I am trying to solve the radial Schrödinger equation using NDEigensystem but I am running into some issues. There are posts about doing this (see here for example), ...

differential-equations finite-element-method physics  
user avatar asked by MarcosMFlores Score of 7
user avatar answered by Michael Seifert Score of 10

Unicode symbols not encoded properly in BarcodeImage[] in Mathematica 13.3

Trying to generate a simple QR code with ← or U+2190. I got varying results: the same in Mathematica versions 12.3 and 13.1 but very different in version 13.3. Mathematica 13.3 was updated to ...

character-encoding broken-code unicode version-13.3  
user avatar asked by David Caliri Score of 6
user avatar answered by Domen Score of 7

Sum of sinusoids at the same frequency but with different amplitudes and phases

Three sinusoids at the same frequency are superimposed: Cos[3.1 - t] + 5 Cos[π/4 + t] + 2 Sin[0.3 + t] How can the resulting oscillation be stated in the following ...

equation-solving simplifying-expressions fourier-analysis trigonometry  
user avatar asked by saturnscalypso Score of 6
user avatar answered by Syed Score of 5

Symbolic integration of a sigmoid function

I'd like to obtain a symbolic result for the following integral: Sigmoid[x_] := 1/(1 + Exp[-x]) Integrate[Sigmoid[x]*Log[Sigmoid[x*w]], {x, -Infinity, Infinity}] ...

user avatar asked by Carlo Wood Score of 6
user avatar answered by Bob Hanlon Score of 16

Are there any errors that are not controlled by Quiet?

I believed that using Quiet, all message output would be controlled. Quiet@Plot3D[x, {x, 1, 2}, {y, 1, a}] Quiet@ContourPlot[x + y == 1, {x, 1, 2}, {y, 1, a}] ...

warning-messages quiet  
user avatar asked by Hoony Score of 5
user avatar answered by Sjoerd Smit Score of 3

Finding a basis of positive vectors in the kernel of a matrix

The kernel to the left of the matrix ...

matrix algebra  
user avatar asked by florin Score of 5

Greatest hits from previous weeks:

Parallel and perpendicular symbol from Mathematica to $\LaTeX$

I want to get the following expression from Mathematica to $\LaTeX$: \begin{bmatrix} E_{\parallel} \\ E_{\perp} \end{bmatrix} I have tried to use inbuilt 'symbol' character from the special ...

user avatar asked by Steve Hatcher Score of 20
user avatar answered by Sjoerd C. de Vries Score of 28

Crack CAPTCHA using deep learning

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  
user avatar asked by xslittlegrass Score of 91
user avatar answered by xslittlegrass Score of 100

How do I plot $x^2+y^2=1$ in 3D?

How would I plot $x^2+y^2=1$ in 3D (it would form a cylinder)? Since there is no $z$ in the equation, I can't solve for it and use Plot3D. Or can I just put the ...

user avatar asked by diracdeltafunk Score of 7
user avatar answered by Mark McClure Score of 14

How to graph a sphere with cartesian equations?

I'm new to Mathematica and I need to ask how to graph a sphere, cylinder, etc.. using cartesian equations. For example in sphere's case $x^2+y^2+z^2=1$ I tried to use ...

user avatar asked by German Score of 9
user avatar answered by Dr. belisarius Score of 15

How can I transpose x and y axis on a Plot?

This question has appeared in various forms online, but I have not yet seen a complete answer, so I am posting it here. More specifically, suppose I have a function ...

plotting graphics  
user avatar asked by merlin2011 Score of 20

How to ask Mathematica to imitate Andy Warhol's pop-art painting?

I tried to ask Mathematica to imitate Andy Warhol, let it convert a Marilyn Monroe's portrait so that it looks like Warhol's world famous pop-art painting. However, the result shown below is far from ...

image-processing generative-art  
user avatar asked by Putterboy Score of 53
user avatar answered by Dr. belisarius Score of 68

Plotting Complex Quantity Functions

Trying to plot with complex quantities seems not to work properly in what I want to accomplish. I would like to know if there is a general rule/way of plotting when you have complex counterparts in ...

plotting complex faq  
user avatar asked by night owl Score of 42
user avatar answered by Artes Score of 29

Can you answer these questions?

Graphics3D display issue

I have a display issue using Graphics3D. I would like to simply display an array of similar cuboids, all having the same size, distributed in the y-direction. When I use Graphics3D to display the ...

graphics3d windows  
user avatar asked by Dopseu Score of 1

Solving polynomial roots of any degree only by Vieta's formula

I have already wrote the code that solves it for quadratic formula and I'm curious if this is possible to make that function work with any kind of polynomial(higher degrees) and solving roots only ...

equation-solving polynomials mathematica-online  
user avatar asked by Karol Bargieł Score of 1

How can I cap calculation speed?

Sorry if I wasn't able to find an existing answer! I'm trying out Mathematica, and was running through some sample problems at night. My roommate is sleeping, and my computer fan can get decently loud....

performance-tuning kernel system-performance resource-management  
user avatar asked by L Lord Score of 2
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