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genpoly

generate polynomial from integer n by Z-adic expansion

 

Calling Sequence

Parameters

Description

Thread Safety

Examples

Calling Sequence

genpoly(n, b, x);

Parameters

n

-

integer or polynomial with integer coefficients

b

-

integer

x

-

variable name

Description

• 

genpoly computes the unique polynomial ax over x from the integer n with coefficients less than 12b in magnitude such that  subsx=b,ax=n.

• 

This is directly related to b-adic expansion of an integer. If the base-b representation of the integer n is c0+c1b++ckbk where ci are integers modulo b (using symmetric representation) then the polynomial generated is c0+c1x++ckxk.

• 

If n is a polynomial with integer coefficients then each integer coefficient is expanded into a polynomial.  This polynomial, n, must be in fully expanded form.

Thread Safety

• 

The genpoly command is thread-safe as of Maple 15.

• 

For more information on thread safety, see index/threadsafe.

Examples

genpoly11,5,x

1+2x

(1)

genpoly11y213y+21,5,x

1+2xy2+x2+2x+2y+x2x+1

(2)

See Also

subs

 


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