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polytools

  

shorten

  

try to make polynomial smaller by substitutions

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

shorten(f, x)

Parameters

f

-

polynomial

x

-

indeterminate

Description

• 

Important: The polytools package has been deprecated. Use the superseding command PolynomialTools[Shorten] instead.

• 

This function applies transformations on f in an effort to make f smaller, more precisely, to make its length smaller. The following transformations are tried: adding or multiplying x by a constant, replacing x by its reciprocal, and combinations of these transformations.

• 

When a field extension is given by an irreducible polynomial f this procedure can be used to search for a simpler polynomial representing the same field extension.

• 

If f contains only one variable then the second argument x is optional.

Examples

Important: The polytools package has been deprecated. Use the superseding command PolynomialTools[Shorten] instead.

withpolytools

minpoly,recipoly,shorten,sort_poly,split,splits,translate

(1)

shortenx2+x+1,x

x2+3

(2)

shorten3x3+18x+14,x

x36

(3)

shortenx4+32,x

x4+2

(4)

See Also

PolynomialTools[Shorten]