p2dMax: p2dMax : provides the maximum polynomial degree 'dMax' given...

In GPoM: Generalized Polynomial Modelling

p2dMax : provides the maximum polynomial degree dMax given the number of variables nVar and the number of possible polynomial terms pMax.

Description

Find the maximum polynomial degree dMax given the number of polynomial terms pMax and the system dimension nVar.

Usage

p2dMax(nVar, pMaxKnown, dMin = 0)

Arguments

nVar	Number of variables considered in the polynomial formulation.
pMaxKnown	The number of polynomial terms
dMin	The minimum negative degree of the polynomial formulation (0 by default).

Value

dMax The maximum polynomial degree

Author(s)

Sylvain Mangiarotti, Laurent Drapeau

See Also

gloMoId, gPoMo, poLabs

Examples

#############
# Example 1 #
#############
# Maximum polynomial degree ?
# number of variables:
nVar <- 3
# size of the polynomial vector:
pMax <- 10
# The maximal polynomial degree used for coding the polynomial is:
p2dMax(nVar,pMax)

#############
# Example 2 #
#############
# for pMax = 462 and nVar = 6, then dMax is:
p2dMax(6,462)
# indeed:
length(poLabs(nVar=6, dMax=5))

GPoM documentation built on July 9, 2023, 6:23 p.m.