## Top new questions this week:

### Library for FEAST method is missing

Mathematica (V 12.3.1, Native Mac M1 version) is not letting me use the FEAST method for solving eigenvalue problems. For example, ...

linear-algebra eigenvalues mac-os-x system-limitations
 asked by user99x 12 votes
 answered by user99x 10 votes

### Definition of a ResourceFunction

There is a feature called ResourceFunction in Mathematica. For example you can color a string with rainbow style. https://resources.wolframcloud.com/...

functions documentation resourcefunction
 asked by imida k 12 votes
 answered by Domen 13 votes

### Simplify radical expression (a + b - Sqrt[a^2 - b^2])/Sqrt[a + b]

I have the following expansions: $\frac{a+b-\sqrt{a^2-b^2}}{\sqrt{a+b}}$ and $a>b>0$ Obviously we can simplify it further by hand $\sqrt{a+b}-\sqrt{a-b}$, but Mathematica doesn't know how to ...

simplifying-expressions expression-manipulation algebraic-manipulation radicals
 asked by expression 10 votes
 answered by Akku14 5 votes

### Generating random sequence of integers with ordering constraints

I would like to write a Mathematica routine for generating random musical melodies that obey (some of) the constraints of traditional tonal harmony. For simplicity's sake, I'm interested only in ...

random sound modeling random-process
 asked by Kim Fierens 10 votes
 answered by George Varnavides 14 votes

### How to draw the dashed line automatic behind of a pyramid?

I am trying to draw this pyramid like this I tried ...

graphics3d
 asked by John Paul Peter 6 votes
 answered by kglr 9 votes

### Real-valued integral gives large imaginary part

I found a very strange result in Integrate command. I numerically integrated $$\int_{-1}^1 \int_{-1}^1 \frac{1}{|x|^{2/5} |y|^{3/10} |x-y|^{7/10}} dx dy.$$ ...

numerical-integration
 asked by eigenvalue 6 votes
 answered by Akku14 7 votes

### MorphologicalEulerNumber misbehaving in 3D?

Context I would like to compute the MorphologicalEulerNumber of 3D GaussianRandomField as a function of height above a given threshold. Attempt I proceed as follows:...

bugs computational-geometry topology morphologicalcomponents
 asked by chris 5 votes
 answered by thorimur 4 votes

## Greatest hits from previous weeks:

### How to find the position of elements in a list satisfying criteria

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 71 votes
 answered by J. M.'s torpor 68 votes

### Creating the Yin Yang symbol with minimal code

The following code creates the Yin Yang symbol ...

graphics programming geometry code-golf
 asked by nilo de roock 21 votes
 answered by kglr 29 votes

### How to make the digits of π go around in a spiral like this?

Here is a start. MapIndexed[Text[Reverse[First[RealDigits[Pi,10,252]]][[Tr@#2]],#]&, Table[{t Cos[t],t Sin[t]},{t,0,16Pi,0.2}]]//Graphics

graphics formatting generative-art
 asked by matrix89 57 votes
 answered by Martin Ender 73 votes

### Help find a bright object on Mars!

In today's news, scientists found a bright object on one of Curiosity's photos (it's near the bottom of the picture below). It's a bit tricky to find - I actually spent quite some time staring at the ...

image-processing
 asked by Victor K. 202 votes
 answered by Niki Estner 263 votes

### Finding unit tangent, normal, and binormal vectors for a given r(t)

For my Calc III class, I need to find $T(t), N(t)$, and $B(t)$ for $t=1, 2$, and $-1$, given $r(t)=\{t,t^2,t^3\}$. I've got Mathematica, but I've never used it before and I'm not sure how to coerce ...

equation-solving calculus-and-analysis geometry vector-calculus homework
 asked by a98 32 votes
 answered by Artes 46 votes

### $\LaTeX$ and Mathematica

I quite often would like to draw graphics in my $\LaTeX$ documents using Mathematica. I have encountered three problems. I would like to know if there are any workarounds to these problems I would ...

graphics export latex
 asked by Thomas Rot 132 votes
 answered by Simon 46 votes

### Make a scatter plot from two lists

I have two lists of values xx = {0.1, 0.3, 0.35, 0.57, 0.88, 1.0} yy = {1.2, 3.5, 4.5, 7.8, 9.0, 12.2} I want to make a scatter plot (list plot) with xx as x ...

plotting
 asked by JACKY Li 28 votes
 answered by Eric Thewalt 42 votes

## Can you answer these questions?

### Mathematica package for computing Macdonald polynomials

I want to implement computation of Macdonald polynomials in mathematica. A similar question was raised in another question 5 years ago (Macdonald-Koornwinder polynomials?), but received no clear ...

polynomials code-request algebra
 asked by Nugi 2 votes

### Link lifetime of data to notebook cell

I am looking for a way to attach some data to an arbitrary cell, with the following requirements: Given the CellObject for the cell, I can retrieve the data The ...

front-end notebooks
 asked by Lukas Lang 1 vote

### Finding recurrence relation from an inexact numerical sequence

Consider the recurrence relationship d[0] = 0; d[i_] := (1 + Sqrt[1 + 4 d[i - 1]^2])/2 /; i >= 1 which generates the following sequence (generated by using <...

data filtering recursion signal-processing sequence
 asked by TDH 2 votes
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