Questions tagged [permutation]
For questions about the functionality related to permutations in Mathematica.
273
questions
4
votes
3
answers
212
views
How to list all subgroups of symmetry group S_6?
I learned from https://oeis.org/A005432 that $S_6$ has $1455$ subgroups, how can I list them all in mathematica?
As the comment says, the direct approach cannot solve the problem.
- 531
5
votes
3
answers
129
views
Implementing symmetry assumptions in FullSimplify
I want to symmetrise a long expression, M, that involves a function of 4 arguments, f[u1,u2,d1,d2], and its products (for ...
- 399
0
votes
0
answers
40
views
Put together all possible combinations of a set of functions, variables, and operators
Using a set of functions, variables, and operators, I'm trying to assemble all of the possible combinations starting with the shortest combination and ending with the longest combination. For example, ...
0
votes
1
answer
166
views
Summation over permutation: $\sum_{\sigma \in S_N} \mathrm{sgn}(\sigma) \prod_{i=1}^N x_{i+\sigma(i)}$
Let $N$ be a natural number, and $S_N$ be the symmetric group over $\{1, \ldots, N\}$. I want to compute
$$\sum_{\sigma \in S_N} \mathrm{sgn}(\sigma) \prod_{i=1}^N x_{i+\sigma(i)}$$
for small $N$ ...
- 1,053
4
votes
2
answers
391
views
How to generate all permutation matrices for 4 qubits?
In quantum mechanics, a qubit can be understood as a 2 by 1 vector denoted by Dirac notation as $$|0\rangle \equiv \left( \begin{array}{c}
1\\
0\\
\end{array} \right) ,|1\rangle \equiv \left( \...
- 381
1
vote
1
answer
207
views
Arrange 1-n^2 in n×n grid satisfy products of rows equal to products columns
For which $n\in\mathbb{N}$ is it possible to arrange $\{1,…,n^2\}$ in an $n\times n$ grid so that the set of products of columns equals the set of products of rows?
I can find solution for $3\times 3$ ...
- 5,662
1
vote
2
answers
127
views
Delete the subsets containing the same $2$ integers present in other subsets
From my previous question, if I consider a list like this:
$\{$$\{$$\{$$1,2,3$$\}$,$\{$$4,5,6$$\}$$\}$,
$\{$$\{$$1,2,4$$\}$,$\{$$3,5,6$$\}$$\}$,
$\{$$\{$$1,2,5$$\}$,$\{$$3,4,6$$\}$$\}$,
$\{$$\{$$1,2,6$...
- 245
2
votes
1
answer
94
views
Cycle symmetric Sort for arguments of a function. Put trace in canonical order
I need a new Sort for the arguments of TR that maintains cyclicity, TR[a,b,c] = TR[b,c,a] = TR[c,a,b]
cyclicSort[TR[b,a,c]]
TR[a,c,b]
...
- 998
7
votes
3
answers
245
views
Permutations with subsets not containing the same elements
I would like to define a function of two integer variables $ \{n, k\} $, with $ k | n $, that would print all the possible permutations of the first $ n$ positive integers, such that the subsets of $ ...
- 245
4
votes
2
answers
182
views
Generating all possible 2x2 matrices with unique elements from 1 to 4
If I have a set A={1,2,3,4}, how do I generate all 2x2 matrices with different elements chosen from ...
4
votes
2
answers
167
views
Finding coefficients that impose symmetry
To simplify the main question below,consider the following random multivariate polynomial :
...
- 5,937
1
vote
2
answers
140
views
How to get all necklaces without the full permutations' set?
There are previous posts, such as Delete duplicates from list of lists as if on a necklace,
that give a way to find all necklaces from a set of lists. The methods presented there work well for a small ...
- 65
3
votes
4
answers
250
views
Working with tables: add new level of nested tables
I am trying to obtain all possible combinations of elements in a (long) list
factors = {A, B, C};
getCombinations[factors,n]
For n = 3 factors, it should give
<...
- 998
6
votes
6
answers
265
views
How to efficiently find all element combination including a certain element in the list
I have the following list :
alist={{5, 6, 7}, {7, 6, 8}, {5, 7, 25}, {7, 8, 26}, {7, 26, 25}, {5, 4, 6}, {4, 12, 6}, {6, 12, 13}, {6, 13, 8}}
I want to find all ...
- 105
0
votes
0
answers
48
views
Arranging 4 identical items in 7 spots [closed]
There are 4 unique items, for the sake of the example call them balls. Each ball is exactly the same, and we need to see how many different ways those 4 balls can fit in those 7 slots.
I am not sure ...
- 1