SolveAlways (Built-in Mathematica Symbol)

SolveAlways[eqns, vars] gives the values of parameters that make the equations eqns valid for all values of the variables vars.

Padé Approximation (Mathematica Tutorial)

The Padé approximation is a rational function that can be thought of as a generalization of a Taylor polynomial. A rational function is the ratio of polynomials. Because ...

Summary of New Features in Mathematica 8 (Mathematica Guide)

Introduction to Patterns (Mathematica Tutorial)

Patterns are used throughout Mathematica to represent classes of expressions. A simple example of a pattern is the expression f[x_]. This pattern represents the class of ...

KuiperTest (Built-in Mathematica Symbol)

KuiperTest[data] tests whether data is normally distributed using the Kuiper test.KuiperTest[data, dist] tests whether data is distributed according to dist using the Kuiper ...

Combining Graphics (Mathematica Guide)

The symbolic character of Mathematica graphics makes it straightforward to combine together different graphics constructs, both for presentation and interactive behavior—and ...

Use Rule Solutions (Mathematica How To)

Since many functions in Mathematica give solutions in the form of rules, you need to be able to use these rules to explore and interpret your results. Although many of the ...

The Design of the NDSolve Framework (Mathematica Tutorial)

Supporting a large number of numerical integration methods for differential equations is a lot of work. In order to cut down on maintenance and duplication of code, common ...

FirstIntegral (Variational Methods Package Symbol)

FirstIntegral[u] represents a first integral associated with the variable u in the output of the function FirstIntegrals.

FullSimplify (Built-in Mathematica Symbol)

FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds. FullSimplify[expr, assum] ...