The simplest way to mix text and formulas in a Mathematica notebook is to put each kind of material in a separate cell. Sometimes, however, you may want to embed a formula ...

LinearSolve[m, b] finds an x which solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] which can be applied repeatedly to different b.

Differentiation Total Derivatives Derivatives of Unknown Functions

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

Mathematica includes functions for performing a variety of specific algebraic transformations. Some are algorithmically straightforward; others include highly sophisticated ...

Continued fractions can be thought of as an alternative to digit sequences for representing numbers, based on division rather than multiplication by a base. Studied ...

BooleanFunction[k, n] represents the k\[Null]^th Boolean function in n variables.BooleanFunction[values] represents the Boolean function corresponding to the specified vector ...

Hundreds of thousands of mathematical results derived at Wolfram Research give Mathematica unprecedented strength in the transformation and simplification of hypergeometric ...

Mathematica provides a range of methods for representing and constructing matrices. Especially powerful are symbolic representations, in terms of symbolic systems of ...

Functions that are specified by simple algebraic formulas tend to be such that when their input is changed only slightly, their output also changes only slightly. But ...