initial -- initial of a polynomial

Synopsis

Usage:

initial f

initial(x,f)
Inputs:
- f, a ring element,
Outputs:
- h, a ring element, the initial of f

Description

Returns the initial of a polynomial. The initial of a polynomial $f$ is the leading coefficient of $f$ viewed as a univariate polynomial in its main variable.

i1 : R = QQ[x_0..x_3, MonomialOrder=>Lex];

i2 : f = x_1^2*(x_2*x_3+2*x_3) + x_1*(x_2^2-1) + (x_2-x_3)

      2         2        2
o2 = x x x  + 2x x  + x x  - x  + x  - x
      1 2 3     1 3    1 2    1    2    3

o2 : R

i3 : initial f

o3 = x x  + 2x
      2 3     3

o3 : R

Ways to use initial:

initial(RingElement)
initial(TriaSystem)
initial(List) (missing documentation)
initial(RingElement,RingElement) (missing documentation)

For the programmer

The object initial is a method function.

initial -- initial of a polynomial

Synopsis

Description

See also

Ways to use initial:

For the programmer