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SolveTools

 Basis
 compute the simplest common basis for a list of expressions

 Calling Sequence Basis(exprs, vars)

Parameters

 exprs - list; expressions for which the basis is sought vars - set; variables with respect to which the complexity of the basis is computed

Description

 • The Basis command computes the simplest common basis for the list of expressions exprs defined by the complexity with respect to the given variables vars.
 A list of new expressions is returned such that every element of exprs can be written as a linear combination of these returned expressions with integer coefficients.

Examples

 > $\mathrm{with}\left(\mathrm{SolveTools}\right):$
 > $\mathrm{Basis}\left(\left[x+y,x-y\right],\left\{x,y\right\}\right)$
 $\left[{x}{,}{y}\right]$ (1)
 > $\mathrm{Basis}\left(\left[x+y,x-y\right],\left\{x\right\}\right)$
 $\left[{x}{-}{y}{,}{2}{}{y}\right]$ (2)