Questions tagged [canonicalization]

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2 answers
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Non-linear equation

I have to solve this equation but the problem is X is function of x it means X[x] $$X(X-a)+ b e^{-2 X t}=B,$$ a,b,B are constants. How we can I get some result for ...
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1 vote
1 answer
61 views

How to put numerator and denominator in a canonical form?

I have the following expression that I obtained after some computation: ...
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0 votes
1 answer
73 views

Simplifying expression using pattern matching inside Assuming[]

I want to simplify a sum of terms that look like so: ...
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  • 1,504
5 votes
3 answers
407 views

How can I get the unique solution?

The eight queens puzzle has 92 distinct solutions. If solutions that differ only by the symmetry operations of rotation and reflection of the board are counted as one, the puzzle has 12 solutions. My ...
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  • 6,510
19 votes
6 answers
2k views

Delete duplicates from list of lists as if on a necklace

Given a list of lists of integers, all of the same length, I want to regard two elements as equivalent if one is the rotated and/or reflected version of another (that is, if the two lists are the same ...
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2 votes
1 answer
182 views

How to remove symmetries from this list?

First of all, I work with modular arithmetics and the elements of the arithmetics are lists themselves. I recognize two kinds of symmetries - shift and mirroring. We could define shift of a list like ...
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  • 325
6 votes
1 answer
1k views

Normal ordering in Mathematica

I want to create a function which normally orders a string of field operators. Consider the following: $$\langle0\vert\hat{a}(k_n) \cdots \hat{a}(k_2)\hat{a}(k_1)\hat{a}^\dagger(k_1)\hat{a}^\dagger(...
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  • 883
5 votes
2 answers
114 views

How to canonically reorganize a list using only a limited set of manipulations?

I want to canonically reorganize (like Sort) a sequence of four objects seq[a,b,c,d], but the only manipulations allowed are <...
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12 votes
3 answers
1k views

How to represent a list as a cycle

I want to select distinct cycles (represented by List). The cycle {a, b, c, d} must be the same as {b, c, d, a} or ...
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  • 143
11 votes
1 answer
1k views

Find all permutations with reversals / cyclic permutations removed

I have a list of all non-cyclic permutations of n labels. How can I get rid of all elements which are redundant in the sense that they are the inverse of another one. For instance if n=4, the ...
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