Mathematica has long set the standard for high-end technical graphics and visualization. Version 6.0 added many innovative options that brought automated aesthetics to a new ...

Numerical sums and products. This gives a numerical approximation to ∑_(i=1)^∞((1)/(i^3+i!)). There is no exact result for this sum, so Mathematica leaves it in a symbolic ...

Mathematica automatically sets up the infrastructure for parallel computing on standard systems, and provides a variety of tools for sharing and synchronizing definitions ...

The fundamental paradigm of most computer languages, including Mathematica, is that input is given and processed into output. Historically, such input has consisted of ...

Fibonacci[n] gives the Fibonacci number F_n. Fibonacci[n, x] gives the Fibonacci polynomial F_n (x).

The functions described here are among the most commonly used discrete univariate statistical distributions. You can compute their densities, means, variances, and other ...

Rescale[x, {min, max}] gives x rescaled to run from 0 to 1 over the range min to max. Rescale[x, {min, max}, {x_min, x_max}] gives x rescaled to run from x_min to x_max over ...

ArrayRules[SparseArray[...]] gives the rules {pos_1 -> val_1, pos_2 -> val_2, ...} specifying elements in a sparse array. ArrayRules[list] gives rules for SparseArray[list].

When summarizing data, it is often useful to analyze it by subgroup. For example, crop yields could be categorized by seed variety, or average patient recovery time by ...

$Pre is a global variable whose value, if set, is applied to every input expression.