MONOMIAL_VALUE
Evaluate a Monomial in M dimensions

MONOMIAL_VALUE, a MATLAB library 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)
      

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.

Licensing:

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

Languages:

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_value_test

Source Code:

• i4vec_transpose_print.m, prints an I4VEC "transposed";
• i4vec_uniform_ab.m, returns a pseudorandom I4VEC in a given range;
• monomial_value.m, evaluates a monomial.
• monomial_value_1d.m, evaluates a monomial of a 1D argument.
• r8mat_nint.m, rounds the entries of an R8MAT to the nearest integer;
• r8mat_uniform_ab.m, returns an R8MAT of scaled pseudorandom numbers;
• timestamp.m, prints the current YMDHMS date as a timestamp;