2.1 Thursday, December 24, 2020

2.1.1 Top new questions this week
2.1.2 Greatest hits from previous weeks
2.1.3 Can you answer these questions?

2.1.1 Top new questions this week

These PDE’s no longer evaluate in version 12.2 as they did under 12.1. What can be done to make them evaluate under 12.2?
Travelling around Jupiter
Numerically evaluating parameter derivatives of a hypergeometric function
Numeric Solution Hydrogen Atom
Sum cause a Recursion problem
Is it possible to ask Mathematica to give the maximum value of a function over a specific domain?
Unrolling a surface

These PDE’s no longer evaluate in version 12.2 as they did under 12.1. What can be done to make them evaluate under 12.2?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236895

These 399 PDE’s no longer produce result under Version 12.2 on windows. DSolve now returns unevaluated. These all evaluated under version 12.1. Why is that? And ...

asked by Nasser https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70 17 votes

answered by Devendra Kapadia https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=18617 12 votes

Travelling around Jupiter

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236843

Since we have soon historical conjunction of Jupiter and Saturn I have prepared code with visualization planet Jupiter and Saturn with moons. This code first been prepared for version 11.3 and with ...

asked by Alex Trounev https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=58388 16 votes

Numerically evaluating parameter derivatives of a hypergeometric function

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=237032

I am unable to obtain the numerical value of the derivative of the hypergeometric function. Please note that the (2,4,0,0) is the derivative with respect to the first and second argument

asked by Sachin Kaushik https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=58727 7 votes

answered by Mariusz Iwaniuk https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=26828 7 votes

Numeric Solution Hydrogen Atom

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236980

I’m trying to solve the Schrödinger equation for the hydrogen atom without made the variable separation of the polar and radial coordinate. It is my test code to extrapolate to another system with its ...

asked by Jorge Castaño https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=73029 7 votes

answered by Jorge Castaño https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=73029 0 votes

Sum cause a Recursion problem

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236934

Sum[((-1)^(i + 1)*Binomial[n, i]*(n - i)!)/n!, {i, 1, n}]

This cause a Recursion problem.

As the comment said, If simplify the formula and then sum it, problem ...

asked by wuyudi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=68689 6 votes

Is it possible to ask Mathematica to give the maximum value of a function over a specific domain?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236971

I have a function \(f(n)\) over \(n\in \mathbb {N}\). I want to know its maximum value over a very large domain, say \(n=1,2,3,4,...,10^6\). Is there a way to ask Mathematica to give me the maximum value of ...

asked by charmin https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=74550 6 votes

answered by MarcoB https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=27951 9 votes

Unrolling a surface

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=237045

The surface is determined by this parametric equation ParametricPlot3D[{Cos[],Sin[],z(2+ Cos[])},{,-Pi,Pi},{z,0,1}]

How to unfold the surface in Mathematica? ...

asked by expression https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7339 5 votes

answered by Tim Laska https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=61809 3 votes

2.1.2 Greatest hits from previous weeks

Conversion of Sine to Cosine
How to ask Mathematica to imitate Andy Warhol’s pop-art painting?
Plot, extract data to a file
My Girlfriend is going to prison...Save her with Math
How to create animated snowfall?
Parallel and perpendicular symbol from Mathematica to LaTeX
1 Plot, 2 Scale/Axis

Conversion of Sine to Cosine

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=67521

I’m solving equations with many Cosines and Sines. And I want to convert all the Sines to Cosines using trigonometric formulas such as cos(x)=sin(x+pi/2). How can I do this?

asked by YongCheol Kwon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=23041 3 votes

answered by Sjoerd C. de Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=57 1 vote

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

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=59132

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 ...

asked by Putterboy https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=16069 51 votes

answered by Dr. belisarius https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=193 66 votes

Plot, extract data to a file

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19859

I need to save data that Mathematica uses inside the Plot command. The format that I would like to have is:

x1 y1 
x2 y2 
.....

asked by molkee https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5097 30 votes

answered by Mr.Wizard https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=121 46 votes

My Girlfriend is going to prison...Save her with Math

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=135937

Salacious title, but true story.

asked by Prisoners Dilema https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46025 42 votes

answered by bobthechemist https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7167 23 votes

How to create animated snowfall?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=16881

Well, the title is self-explanatory. What sorts of snowfall can we generate using Mathematica? There are two options I suggest to consider:

1) Continuous GIF animations with smallest possible number ...

asked by faleichik https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=219 40 votes answered by Simon Woods https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=862 54 votes

Parallel and perpendicular symbol from Mathematica to LaTeX

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=46538

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 ...

asked by Steve Hatcher https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13314 19 votes

answered by Sjoerd C. de Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=57 27 votes

1 Plot, 2 Scale/Axis

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=627

I would like to plot those two datasets on top of each other. But they have very different range on the \(y\) axis. How can I have two different axis?

I found the following on the help menu but quite ...

asked by 500 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=172 148 votes

answered by ArgentoSapiens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=92 151 votes

2.1.3 Can you answer these questions?

How to determine if a number is an integer power?
dot product of vectors with noncommutative elements
How to Inherit Arrowheds size?

How to determine if a number is an integer power?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236779

How can I do simple tests like determining if an integer is a power of 2? Mathematically, the result below should be True, and I understand why it doesn’t work on MMa, but how do I do this test ...

asked by Jerry Guern https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=20042 1 vote

dot product of vectors with noncommutative elements

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=237042

I came upon an interesting problem. Suppose you have three vectors \(\psi =(a, b)\), \(\phi =(c,d)\) such that their components do not commute: \(ac\neq ca\), \(bd \neq db\) etc. (in general the vectors may ...

asked by geom https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=68502 1 vote

How to Inherit Arrowheds size?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236932

I’m trying to write a Module that produces some arrows with custom Arrowhead shapes. However, I want the code external to the

asked by Wynne https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36616 1 vote