RandomKSetPartition[set, k] returns a random set partition of set with k blocks. RandomKSetPartition[n, k] returns a random set partition of the first n natural numbers into ...

RandomSetPartition[set] returns a random set partition of set. RandomSetPartition[n] returns a random set partition of the first n natural numbers.

RankSetPartition[sp, s] ranks sp in the list of all set partitions of set s. RankSetPartition[sp] ranks sp in the list of all set partitions of the set of elements that ...

UnrankSetPartition[r, set] finds a set partition of set with rank r. UnrankSetPartition[r, n] finds a set partition of {1, 2, ..., n} with rank r.

PodStates is an option for WolframAlpha that determines information about the states of the pods.

BoxFrame is an option for FrameBox objects that specifies whether to draw a frame around the contents of the box.

Print prints the active notebook.

GridDefaultElement is an option for the low-level function GridBox that specifies what to insert when a new element is created interactively in a GridBox.

TabFilling is an option for character selections that specifies how a Tab character is represented on the screen.

Although Diophantine equations provide classic examples of undecidability, Mathematica in practice succeeds in solving a remarkably wide range of such equations—automatically ...