spray (version 1.0-26)

homog: Various functions to create simple spray objects

Description

Various functions to create simple spray objects such as single-term, homogeneous, and constant multivariate polynomials.

Usage

product(power)
homog(d,power=1)
linear(x,power=1)
lone(n,d=n)
one(d)
as.id(S)
xyz(d)

Value

All functions documented here return a spray object

Arguments

d

An integer; generally, the dimension or arity of the resulting spray object

power

Integer vector of powers

x

Numeric vector of coefficients

S

A spray object

n

In function lone(), the term to raise to power 1

Author

Robin K. S. Hankin

See Also

constant, zero

Examples

product(1:3)                   #      x * y^2 * z^3
homog(3)                       #      x + y + z
homog(3,2)                     #      x^2  + xy + xz + y^2 + yz + z^2
linear(1:3)                    #      1*x + 2*y + 3*z
linear(1:3,2)                  #      1*x^2 + 2*y^2 + 3*z^2
lone(3)                        #      z
lone(2,3)                      #      y
one(3)                         #      1
zero(3)                        #      0
xyz(3)                         #      xyz