Jlaragonvera/CGAlgebra | Paclet Repository

Jlaragonvera`CGAlgebra`

GFactor

GFactor[x]
	groups common e[__] terms of the multivector x.

Details and Options

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Examples

(2)

Basic Examples

(1)

Group common e[__] terms:

In[1]:=

GFactor

[-x2y1e[1,2]+x3y1e[1,2]+x1y2e[1,2]-x3y2e[1,2]-x1y3e[1,2]+x2y3e[1,2]-x2z1e[1,3]+x3z1e[1,3]+x1z2e[1,3]-x3z2e[1,3]-x1z3e[1,3]+x2z3e[1,3]-y2z1e[2,3]+y3z1e[2,3]+y1z2e[2,3]-y3z2e[2,3]-y1z3e[2,3]+y2z3e[2,3]+(x3y1+x1y2-x3y2-x1y3+x2(-y1+y3))e[0,1,2,∞]+(-x2z1+x3z1+x1z2-x3z2-x1z3+x2z3)e[0,1,3,∞]-y2z1e[0,2,3,∞]+y3z1e[0,2,3,∞]+y1z2e[0,2,3,∞]-y3z2e[0,2,3,∞]-y1z3e[0,2,3,∞]+y2z3e[0,2,3,∞]-x3y2z1e[1,2,3,∞]+x2y3z1e[1,2,3,∞]+x3y1z2e[1,2,3,∞]-x1y3z2e[1,2,3,∞]-x2y1z3e[1,2,3,∞]+x1y2z3e[1,2,3,∞]]

Out[1]=

(-x2y1+x3y1+x1y2-x3y2-x1y3+x2y3)e[1,2]+(-x2z1+x3z1+x1z2-x3z2-x1z3+x2z3)e[1,3]+(-y2z1+y3z1+y1z2-y3z2-y1z3+y2z3)e[2,3]+(-x2y1+x3y1+x1y2-x3y2-x1y3+x2y3)e[0,1,2,∞]+(-x2z1+x3z1+x1z2-x3z2-x1z3+x2z3)e[0,1,3,∞]+(-y2z1+y3z1+y1z2-y3z2-y1z3+y2z3)e[0,2,3,∞]+(-x3y2z1+x2y3z1+x3y1z2-x1y3z2-x2y1z3+x1y2z3)e[1,2,3,∞]

Applications

(1)

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SeeAlso

Factorize

▪

Factor

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Grade

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