Min[x_1, x_2, ...] yields the numerically smallest of the x_i. Min[{x_1, x_2, ...}, {y_1, ...}, ...] yields the smallest element of any of the lists.

e_1 || e_2 || ... is the logical OR function. It evaluates its arguments in order, giving True immediately if any of them are True, and False if they are all False.

PermutationReplace[expr, perm] replaces each part in expr by its image under the permutation perm.PermutationReplace[expr, gr] returns the list of images of expr under all ...

Many programs you write will involve operations that need to be iterated several times. Nest and NestList are powerful constructs for doing this. Applying functions of one ...

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 ...

Throughout any computation, Mathematica maintains an evaluation stack containing the expressions it is currently evaluating. You can use the function Stack to look at the ...

PolytopeQuantile[{{x_11, x_12}, ..., {x n 1, x n 2}}, q] gives the locus of the q\[Null]^th quantile of the bivariate data, where the data have been ordered using convex ...

Lists are very important structures in Mathematica. Lists allow you treat any kind of collection of objects as a single entity. Sometimes you need to pick out or extract ...

AbsoluteThickness[d] is a graphics directive which specifies that lines which follow are to be drawn with absolute thickness d.

AxesOrigin is an option for graphics functions that specifies where any axes drawn should cross.