simplex_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit simplex in M dimensions.
The interior of the unit simplex in M dimensions is defined by
0 <= X(1:M) sum ( 1 <= I <= M ) X(I) <= 1
The integrands are all of the form
f(x) = product ( 1 <= I <= M) X(I)^E(I)where the exponents are nonnegative integers.
The computer code and data files described and made available on this web page are distributed under the MIT license
simplex_integrals is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
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