compute a linear translation of a polynomial - Maple Help

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PolynomialTools[Translate] - compute a linear translation of a polynomial

Calling Sequence

Translate(a, x, x0)

Parameters

a

-

polynomial

x

-

indeterminate

x[0]

-

constant

Description

• 

Translate the polynomial ax by x=x+x0 efficiently. The method used requires On multiplications and divisions and On2 additions where n=degreea,x.

• 

This function is part of the PolynomialTools package, and so it can be used in the form Translate(..) only after executing the command with(PolynomialTools). However, it can always be accessed through the long form of the command by using PolynomialTools[Translate](..).

Examples

withPolynomialTools:

Translatex2,x,1

x2+2x+1

(1)

expandx2x=x+1|x2x=x+1

x2+2x+1

(2)

Translatex3,x,2

x3+6x2+12x+8

(3)

expandx3x=x+2|x3x=x+2

x3+6x2+12x+8

(4)

Translatex+13,x,1

x3

(5)

See Also

eval, expand, PolynomialTools, series, subs


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