monomial_value, a Python code which evaluates a monomial in M dimensions.

Let X represent a point in M dimensional space, and let E be a vector of M integers. The value of the monomial with exponents E at the point X is

        V(X) = X(1)^E(1) * X(2)^E(2) * ... * X(M)^E(M)
This code supplies a convenient method of evaluating V(X) at multiple points X.

The factor 0.0^0 might occur if, for some I, we have X(I) = 0.0 and E(I) = 0. In this case, we take the corresponding value to be 1.

The factor 0.0^E(I) will cause problems if E(I) is negative.


The computer code and data files made available on this web page are distributed under the GNU LGPL license.


monomial_value is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

monomial, a Python code which enumerates, lists, ranks, unranks and randomizes multivariate monomials in a space of M dimensions, with total degree less than N, equal to N, or lying within a given range.

Source Code:

Last revised on 06 March 2021.