CrossMatrix[r] gives a matrix whose elements are 1 in a centered cross-shaped region that extends r positions along each index direction, and are 0 otherwise.CrossMatrix[r, ...

Start with the expression that will be the base. Type x. Create a built-up power by pressing the Control key and the 6 key at the same time.

TautologyQ[bf] gives True if all combinations of values of variables make the Boolean function bf yield True.TautologyQ[expr, {a_1, a_2, ...}] gives True if all combinations ...

GeometricMean[list] gives the geometric mean of the values in list.

Disjunction[expr, {a_1, a_2, ...}] gives the disjunction of expr over all choices of the Boolean variables a_i.

LeafCount[expr] gives the total number of indivisible subexpressions in expr.

The replacement operator /. allows you to apply transformation rules to a specific expression. Often, however, you want to have transformation rules automatically applied ...

StringLength["string"] gives the number of characters in a string.

Other tutorials have discussed explicit loading of Mathematica packages using <<package and Needs[package]. Sometimes, however, you may want to set Mathematica up so that it ...

Tr[list] finds the trace of the matrix or tensor list. Tr[list, f] finds a generalized trace, combining terms with f instead of Plus. Tr[list, f, n] goes down to level n in ...