A standard electronic calculator does all your calculations to a particular accuracy, say ten decimal digits. With Mathematica, however, you can often get exact results. ...

PartitionsQ[n] gives the number q (n) of partitions of the integer n into distinct parts.

While[test, body] evaluates test, then body, repetitively, until test first fails to give True.

$IterationLimit gives the maximum length of evaluation chain used in trying to evaluate any expression.

PrintingOptions -> {opt_1 -> val_1, opt_2 -> val_2, ...} is an option that specifies settings for printing.

When you install a MathLink-compatible external program using Install, the program is set up to behave somewhat like a simplified Mathematica kernel. Every time you call a ...

HotellingTSquareDistribution[p, m] represents Hotelling's T^2 distribution with dimensionality parameter p and m degrees of freedom.

% n or Out[n] is a global object that is assigned to be the value produced on the n\[Null]^th output line. % gives the last result generated. %% gives the result before last. ...

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

ZipfDistribution[\[Rho]] represents a zeta distribution with parameter \[Rho].ZipfDistribution[n, \[Rho]] represents a Zipf distribution with range n.