Sort (Built-in Mathematica Symbol)

Sort[list] sorts the elements of list into canonical order. Sort[list, p] sorts using the ordering function p.

StandardForm (Built-in Mathematica Symbol)

StandardForm[expr] prints as the standard Mathematica two-dimensional representation of expr.

StringPosition (Built-in Mathematica Symbol)

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

StringReplace (Built-in Mathematica Symbol)

StringReplace["string", s -> sp] or StringReplace["string", {s_1 -> sp_1, s_2 -> sp_2, ...}] replaces the string expressions s_i by sp_i whenever they appear as substrings of ...

Take (Built-in Mathematica Symbol)

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, ...

Transpose (Built-in Mathematica Symbol)

Transpose[list] transposes the first two levels in list. Transpose[list, {n_1, n_2, ...}] transposes list so that the k\[Null]^th level in list is the n_k\[Null]^th level in ...

UnitStep (Built-in Mathematica Symbol)

UnitStep[x] represents the unit step function, equal to 0 for x < 0 and 1 for x >= 0. UnitStep[x_1, x_2, ...] represents the multidimensional unit step function which is 1 ...

Abel Equations (Mathematica Tutorial)

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...

Classification of Differential Equations (Mathematica Tutorial)

While differential equations have three basic types—ordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as ...

Introduction to Differential Equation ... (Mathematica Tutorial)

The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathematica function NDSolve, on the other hand, is a general numerical differential ...