DiscreteRatio (Built-in Mathematica Symbol)

DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...

Wolfram|Alpha Integration (Mathematica Guide)

Mathematica has integrated interactive and programmatic access to the full power of the Wolfram|Alpha computational knowledge engine, using it to allow free-form linguistic ...

Number Theoretic Functions (Mathematica Guide)

Mathematica contains the world's largest collection of number theoretic functions, many based on specially developed algorithms.

New in 6.0: Symbolic Computation (Mathematica Guide)

MapIndexed (Built-in Mathematica Symbol)

MapIndexed[f, expr] applies f to the elements of expr, giving the part specification of each element as a second argument to f. MapIndexed[f, expr, levelspec] applies f to ...

Functions of Complex Variables (Mathematica Guide)

Mathematica transparently works with complex variables throughout, not only numerically, but also symbolically—often relying on original results to handle intricate branch ...

ListLinePlot (Built-in Mathematica Symbol)

ListLinePlot[{y_1, y_2, ...}] plots a line through a list of values, assumed to correspond to x coordinates 1, 2, .... ListLinePlot[{{x_1, y_1}, {x_2, y_2}, ...}] plots a ...

Functions That Do Not Have Unique Values (Mathematica Tutorial)

When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...

DifferentialD (Built-in Mathematica Symbol)

DifferentialD[x] displays as \[DifferentialD]x.

TrigReduce (Built-in Mathematica Symbol)

TrigReduce[expr] rewrites products and powers of trigonometric functions in expr in terms of trigonometric functions with combined arguments.