Just as Mathematica allows you to define how expressions should be evaluated, so also it allows you to define how expressions should be formatted for output. The basic idea ...

Hyperfactorial[n] gives the hyperfactorial function H(n).

Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...

Minimization and maximization. Minimize and Maximize yield lists giving the value attained at the minimum or maximum, together with rules specifying where the minimum or ...

Extensively used within the Mathematica system itself, MathLink is Mathematica's unique high-level symbolic interface standard for interprogram communication. With convenient ...

Mathematica is a large and complex software system. Although strongly not supported for production purposes, it is sometimes instructive to "spelunk" in the system, looking ...

NumberFieldClassNumber[\[Theta]] gives the class number for the algebraic number field \[DoubleStruckCapitalQ][\[Theta]] generated by \[Theta].

NMaximize[f, x] maximizes f numerically with respect to x.NMaximize[f, {x, y, ...}] maximizes f numerically with respect to x, y, .... NMaximize[{f, cons}, {x, y, ...}] ...

If[condition, t, f] gives t if condition evaluates to True, and f if it evaluates to False. If[condition, t, f, u] gives u if condition evaluates to neither True nor False.

When you have numerical data, it is often convenient to find a simple formula that approximates it. For example, you can try to "fit" a line or curve through the points in ...