/// <summary>
/// Returns the number of inhomogeneous polynomial coefficients for a given dimensionality and rank, including all coefficients of lesser rank.
/// </summary>
/// <param name="nDims"><see cref="Poly.Ndims"/>.</param>
/// <param name="rank"><see cref="Poly.Rank"/>.</param>
public static int Ncoeff(int nDims, int rank)
{
return(Static.Pascal(nDims, rank));
// 0 1 2 3 4 5 6 7 8 9
// Rank of Tensor
// 0 1 1 1 1 1 1 1 1 1 1
// 1 1 2 3 4 5 6 7 8 9 10
// 2 Ndims 1 3 6 10 15 21 28 36 45 55
// 3 of 1 4 10 20 35 56 84 120 165 220
// 4 Space 1 5 15 35 70 126 210 330 495 715
// 5 1 6 21 56 126 252 462 924 1716
}
/// <summary>
/// Returns the number of inhomogeneous polynomial coefficients for a given dimensionality and rank, not including coefficients of lesser rank.
/// </summary>
/// <param name="nDims"><see cref="Poly.Ndims"/>.</param>
/// <param name="rank"><see cref="Poly.Rank"/>.</param>
public static int NcoeffAtRank(int nDims, int rank)
{
return(Static.Pascal(nDims - 1, rank));
}