Defining Variables and Functions (Mathematica Guide)

The symbolic language paradigm of Mathematica takes the concept of variables and functions to a new level. In Mathematica a variable can not only stand for a value, but can ...

DirichletCharacter (Built-in Mathematica Symbol)

DirichletCharacter[k, j, n] gives the Dirichlet character \[Chi] {k, j} (n) with modulus k and index j.

TableDirections (Built-in Mathematica Symbol)

TableDirections is an option for TableForm and MatrixForm which specifies whether successive dimensions should be arranged as rows or columns.

Do an Integral (Mathematica How To)

Mathematica contains a very powerful system of integration. It can do almost any integral that can be done in terms of standard mathematical functions.

Csch (Built-in Mathematica Symbol)

Csch[z] gives the hyperbolic cosecant of z.

OutputResponse (Built-in Mathematica Symbol)

OutputResponse[sys, u, t] gives the output response of a TransferFunctionModel or StateSpaceModel object sys to the input u as a function of time t.OutputResponse[sys, u, {t, ...

StirlingS2 (Built-in Mathematica Symbol)

StirlingS2[n, m] gives the Stirling number of the second kind \[ScriptCapitalS]_n^(m).

LogNormalDistribution (Built-in Mathematica Symbol)

LogNormalDistribution[\[Mu], \[Sigma]] represents a lognormal distribution derived from a normal distribution with mean \[Mu] and standard deviation \[Sigma].

GenerateConditions (Built-in Mathematica Symbol)

GenerateConditions is an option for Integrate, Sum, and similar functions that specifies whether explicit conditions on parameters should be generated in the result.

Linear First-Order Equations (Mathematica Tutorial)

The following is a linear first-order ODE because both y[x] and y^ ′[x] occur in it with power 1 and y^′[x] is the highest derivative. Note that the solution contains the ...