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PolynomialTools

  

Translate

  

compute a linear translation of a polynomial

 

Calling Sequence

Parameters

Description

Examples

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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