DiracComb[x] represents the Dirac comb function giving a delta function at every integer point. DiracComb[x_1, x_2, ...] represents the multidimensional Dirac comb function.

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...

MiniMaxApproximation[expr, {x, {x_0, x_1}, m, n}] finds the rational polynomial function of x, with numerator order m and denominator order n, that gives a mini-max ...

MusicScale[{i_1, i_2, ...}, freq, dur] creates a Sound object that is a sequence of pitches corresponding to numbers i_1, i_2, ..., a list of intervals measured in cents, ...

The built-in functions of Mathematica implement a very large number of algorithms from computer science and mathematics. Some of these algorithms are fairly old, but the vast ...

When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

GeneralMiniMaxApproximation[{f_x, f_y}, {t, {t_0, t_1}, m, n}, x] finds the rational polynomial function of x, with numerator order m and denominator order n, that gives a ...

NVariationalBound[f, u[x ], {x, x_min, x_max}, u_t, {a, a_0}, {b, b_0}, ...] numerically searches for values of the parameters a, b, ... of a trial function u_t, starting ...

While DSolve usually returns the correct solution to a differential equation it is given, it is common practice to verify the solution returned by any differential equation ...

MeanMajor is an interval list derived from the Mean Chromatic scale.