Minimize[f, x] minimizes f with respect to x.Minimize[f, {x, y, ...}] minimizes f with respect to x, y, .... Minimize[{f, cons}, {x, y, ...}] minimizes f subject to the ...

An efficient load-on-demand mechanism makes hundreds of gigabytes of carefully curated and continually updated data immediately available inside Mathematica for use in ...

ComponentMeasurements[m, " prop"] computes the values of property prop for each component of a label matrix m that consists of identical elements.ComponentMeasurements[image, ...

When Mathematica plots a graph for you, it has to make many choices. It has to work out what the scales should be, where the function should be sampled, how the axes should ...

Just as the equation x^2+3x==2 asserts that x^2+3x is equal to 2, so also the inequality x^2+3x>2 asserts that x^2+3x is greater than 2. In Mathematica, Reduce works not only ...

FlipView[{expr_1, expr_2}] represents an object which flips between displaying expr_1 and expr_2 each time it is clicked.FlipView[{expr_1, expr_2, ...}] cyclically flips ...

RandomChoice[{e_1, e_2, ...}] gives a pseudorandom choice of one of the e_i. RandomChoice[list, n] gives a list of n pseudorandom choices. RandomChoice[list, {n_1, n_2, ...}] ...

CircularEmbedding[n] constructs a list of n points equally spaced on a circle. CircularEmbedding[g] embeds the vertices of g equally spaced on a circle.

CodeToLabeledTree[l] constructs the unique labeled tree on n vertices from the Prüfer code l, which consists of a list of n - 2 integers between 1 and n.

CompleteBinaryTree[n] returns a complete binary tree on n vertices.