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4 votes
3 answers
343 views

Find all sets whose index is divisible by the elements

Suppose I have such a set $S=\{3,4,5,...n+2\}, n\in \mathbb{Z}_{>\, 0} $, $a_n$ is any permutation of $S$ such that $n|a_n$, I want to know how many such $a_n$. The easy but inefficient way to do ...
expression's user avatar
  • 5,662
3 votes
5 answers
830 views

Finding all Latin Squares of order 5

A Latin Square is a square of size n × n containing numbers 1 to n inclusive. Each number occurs once in each row and column. An example of a 3 × 3 Latin Square is: $$ \left( \begin{array}{ccc} 1 &...
expression's user avatar
  • 5,662
6 votes
4 answers
261 views

Faster way to find longest chain of inequalities

I have a list of algebraic expression, all variables are positive, some of them have a specific size relationship. Such as: $\frac{(a b+a c+b c)^2}{a+b+c}\leq \frac{1}{3} (a+b+c) (a b+a c+b c)\leq \...
matrix42's user avatar
  • 7,138
2 votes
0 answers
60 views

How to iterate over Orbit of PermutationGroup?

Another day, another permutation group question. I'm given a g=PermutationGroup[...], and a list l={1, 3, 3, 2, ...}. I know I ...
J Bausch's user avatar
  • 151
2 votes
1 answer
165 views

Calculating partial binary `Permutations`

I would like MMA to only calculate some of the permutations of a set. I am currently doing something along the lines of ...
martin's user avatar
  • 8,778
1 vote
1 answer
251 views

Print all permutations containing exactly k elements

In Wolfram Mathematica, writing: Permutations[{a, b, c, d}] or writing: Permutations[{a, b, c, d}, {4}] I get: ...
πρόσεχε's user avatar