# p2dMax: p2dMax : provides the maximum polynomial degree 'dMax' given... In GPoM: Generalized Polynomial Modelling

 p2dMax R Documentation

## 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

`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.