When Mathematica reads the text x^y, it interprets it as x raised to the power y. In a notebook, you can also give the two-dimensional input x^y directly. Mathematica again ...

General Mathematica patterns provide a powerful way to do string manipulation. But particularly if you are familiar with specialized string manipulation languages, you may ...

Structural operations on polynomials. Here is a polynomial in one variable. Expand expands out products and powers, writing the polynomial as a simple sum of terms.

Assuming[assum, expr] evaluates expr with assum appended to $Assumptions, so that assum is included in the default assumptions used by functions such as Refine, Simplify, and ...

Introduction to MathLink How MathLink Is Used Installing Existing MathLink-Compatible Programs

The following techniques are useful for debugging problems with client connections to the license server. MathLM will not start if it cannot find the password file. In that ...

Eliminate[eqns, vars] eliminates variables between a set of simultaneous equations.

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...

Mathematica provides a general mechanism for specifying constraints on patterns. All you need to do is to put /;condition at the end of a pattern to signify that it applies ...

Mathematica provides a variety of functions for manipulating strings. Most of these functions are based on viewing strings as a sequence of characters, and many of the ...