solvelib::splitVectorSet

Factor a set of vectors into a cartesian product

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Syntax

solvelib::splitVectorSet(S)

Description

solvelib::splitVectorSet(S) returns a list S₁, …, S_n of sets of complex numbers such that S is the cartesian product of the S_i, or FAIL if such factorization could not be found.

The set S may be finite or infinite, of any type.

Examples

Example 1

We split a finite set of vectors into its factors:

solvelib::splitVectorSet({[1, 2], [1, 3], [0, 2], [0, 3]})

The following set cannot be written as a cartesian product:

solvelib::splitVectorSet({[1, 2], [0, 2], [0, 3]})

Example 2

Infinite sets can also be handled:

S:= Dom::ImageSet([k*PI, l*PI+2], [k, l], [Z_, Z_])

solvelib::splitVectorSet(S)

delete S:

Parameters

S	Set of vectors

Return Values

List of type DOM_LIST, or FAIL