Create and Use Rules (Mathematica How To)

Transformation rules in Mathematica let you set local values for symbols, functions, and all other types of expressions. Using rules provides a powerful and extensible method ...

The Secant Method (Mathematica Tutorial)

When derivatives cannot be computed symbolically, "Newton's" method will be used, but with a finite difference approximation to the Jacobian. This can have costs in terms of ...

Using Assumptions (Mathematica Tutorial)

Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...

Partitions and Compositions (Combinatorica Package Guide)

ParallelMap (Built-in Mathematica Symbol)

ParallelMap[f, expr] applies f in parallel to each element on the first level in expr.ParallelMap[f, expr, levelspec] applies f in parallel to parts of expr specified by ...

Stop a Computation (Mathematica How To)

There will be times when you want to stop Mathematica in the middle of a computation. You may have asked Mathematica to do something that you did not intend or that is taking ...

Xor (Built-in Mathematica Symbol)

Xor[e_1, e_2, ...] is the logical XOR (exclusive OR) function. It gives True if an odd number of the e_i are True, and the rest are False. It gives False if an even number of ...

Multiplying Vectors and Matrices (Mathematica Tutorial)

Different kinds of vector and matrix multiplication. This multiplies each element of the vector by the scalar k. The "dot" operator gives the scalar product of two vectors.

Operations on Power Series (Mathematica Tutorial)

Mathematica allows you to perform many operations on power series. In all cases, Mathematica gives results only to as many terms as can be justified from the accuracy of your ...

Abel Equations (Mathematica Tutorial)

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...