Mathematica's symbolic architecture allows it to represent any equation as a symbolic expression that can be manipulated using any of Mathematica's powerful collection of ...

You can use the Mathematica function DSolve to find symbolic solutions to ordinary and partial differential equations. Solving a differential equation consists essentially in ...

Functions that are specified by simple algebraic formulas tend to be such that when their input is changed only slightly, their output also changes only slightly. But ...

Patterns are used throughout Mathematica to represent classes of expressions. A simple example of a pattern is the expression f[x_]. This pattern represents the class of ...

NMinimize, NMaximize, Minimize, and Maximize employ global optimization algorithms, and are thus suitable when a global optimum is needed. Minimize and Maximize can find ...

CharacteristicFunction[dist, t] gives the characteristic function for the symbolic distribution dist as a function of the variable t.CharacteristicFunction[dist, {t_1, t_2, ...

NumberFieldFundamentalUnits[a] gives a list of fundamental units for the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

Functions for manipulating trigonometric expressions. This expands out a trigonometric expression. This factors the expression.

Unicode: F4A1 Alias: Esc fn Esc. Infix operator with built-in evaluation rules. x  y is by default interpreted as Function[x,y]. x  y  z groups as x  (y  z). \[Function] ...

Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...