Rescale[x, {min, max}] gives x rescaled to run from 0 to 1 over the range min to max. Rescale[x, {min, max}, {x_min, x_max}] gives x rescaled to run from x_min to x_max over ...

ReplacePart[expr, i -> new] yields an expression in which the i\[Null]\[Null]^th part of expr is replaced by new. ReplacePart[expr, {i_1 -> new_1, i_2 -> new_2, ...}] ...

The ODEs that arise in practical applications often have non-rational coefficients. In such cases, DSolve attempts to convert the equation into one with rational coefficients ...

The functionality of Calculus`DSolveIntegrals` is now available in the built-in Mathematica kernel function DSolve.

Append[expr, elem] gives expr with elem appended.

Dispatch[{lhs_1 -> rhs_1, lhs_2 -> rhs_2, ...}] generates an optimized dispatch table representation of a list of rules. The object produced by Dispatch can be used to give ...

Eigenvalues[m] gives a list of the eigenvalues of the square matrix m. Eigenvalues[{m, a}] gives the generalized eigenvalues of m with respect to a. Eigenvalues[m, k] gives ...

Take[list, n] gives the first n elements of list. Take[list, -n] gives the last n elements of list. Take[list, {m, n}] gives elements m through n of list. Take[list, seq_1, ...

CellEvaluationDuplicate is an option for Cell which specifies whether the front end should make a copy of the cell before performing any evaluation of its contents that you ...

PatternSequence[p_1, p_2, ...] is a pattern object which represents a sequence of arguments matching p_1, p_2, ....