Various functions to create simple multivariate polynomials

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

Usage

product(v,symbols=letters)
homog(d,power=1,symbols=letters)
linear(x,power=1,symbols=letters)
xyz(n,symbols=letters)
numeric_to_mvp(x)

Arguments

d,n

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

v,power

Integer vector of powers

x

Numeric vector of coefficients

symbols

Character vector for the symbols

Value

All functions documented here return a mvp object

Author

Robin K. S. Hankin

Note

The functions here are related to their equivalents in the multipol and spray packages, but are not exactly the same.

Function constant() is documented at constant.Rd, but is listed below for convenience.

See also

constant, zero

Examples

product(1:3)        #      a * b^2 * c^3
#> mvp object algebraically equal to
#> a b^2 c^3
homog(3)            #      a + b + c
#> mvp object algebraically equal to
#> a + b + c
homog(3,2)          #      a^2  + a b + a c + b^2 + b c + c^2
#> mvp object algebraically equal to
#> a b + a c + a^2 + b c + b^2 + c^2
linear(1:3)         #      1*a + 2*b + 3*c
#> mvp object algebraically equal to
#> a + 2 b + 3 c
constant(5)         #      5
#> mvp object algebraically equal to
#> 5
xyz(5)              #      a*b*c*d*e
#> mvp object algebraically equal to
#> a b c d e