Binomial[n, m] gives the binomial coefficient ( { {n}, {m} } ).
n! gives the factorial of n.
StringSplit["string"] splits " string" into a list of substrings separated by whitespace. StringSplit["string", patt] splits into substrings separated by delimiters matching ...
Tuples
(Built-in Mathematica Symbol) Tuples[list, n] generates a list of all possible n-tuples of elements from list. Tuples[{list_1, list_2, ...}] generates a list of all possible tuples whose i\[Null] ...
The NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...
Histogram[{x_1, x_2, ...}] plots a histogram of the values x_i.Histogram[{x_1, x_2, ...}, bspec] plots a histogram with bin width specification bspec.Histogram[{x_1, x_2, ...
Probability[pred, x \[Distributed] dist] gives the probability for an event that satisfies the predicate pred under the assumption that x follows the probability distribution ...
Reduce
(Built-in Mathematica Symbol) Reduce[expr, vars] reduces the statement expr by solving equations or inequalities for vars and eliminating quantifiers. Reduce[expr, vars, dom] does the reduction over the ...
The Mathematica functions Reduce, Resolve, and FindInstance allow you to solve a wide variety of problems that can be expressed in terms of equations and inequalities. The ...
This document describes how to compile and run MathLink programs written in the C language on computers running a Microsoft Windows operating system. ("MathLink and External ...