When you set up a graphics object in Mathematica, you typically give a list of graphical elements. You can include in that list graphics directives which specify how ...

MathLink provides a mechanism through which programs can interact with Mathematica. Some typical uses of MathLink. MathLink provides a general interface for external programs ...

It is often useful to carry out a numerical integration using fixed step sizes. For example, certain methods such as "DoubleStep" and "Extrapolation" carry out a sequence of ...

Band[{i, j}] represents the sequence of positions on the diagonal band that starts with {i, j} in a sparse array.Band[{i_min, j_min, ...}, {i_max, j_max, ...}] represents the ...

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, ...}] ...

StateResponse[ss, u, t] gives the state response of the StateSpaceModel object ss to the input u as a function of time t.StateResponse[ss, u, {t, t_min, t_max}] gives the ...

Differences[list] gives the successive differences of elements in list. Differences[list, n] gives the n\[Null]^th differences of list. Differences[list, {n_1, n_2, ...}] ...

Mod[m, n] gives the remainder on division of m by n. Mod[m, n, d] uses an offset d.

StringCases["string", patt] gives a list of the substrings in " string" that match the string expression patt. StringCases["string", lhs -> rhs] gives a list of the values of ...

StringPosition["string", " sub"] gives a list of the starting and ending character positions at which " sub" appears as a substring of " string". StringPosition["string", ...