The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

PairGroupIndex[g, x] returns the cycle index of the pair group induced by g as a polynomial in x[1], x[2], ....PairGroupIndex[ci, x] takes the cycle index ci of a group g ...

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 ...

InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...

Expand[expr] expands out products and positive integer powers in expr. Expand[expr, patt] leaves unexpanded any parts of expr that are free of the pattern patt. >

SatisfiabilityCount[bf] counts the number of possible combinations of variable values that yield True when supplied as arguments to the Boolean function ...

The functionality of PrimitiveElement is now available in the newly added built-in Mathematica kernel function ToNumberField.

A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...

NDSolve[eqns, y, {x, x_min, x_max}] finds a numerical solution to the ordinary differential equations eqns for the function y with the independent variable x in the range ...

Google.com is a well-known web search engine. Google has made a web service available that allows developers to interface with their search engine within their own ...