Making Tables of Values (Mathematica Tutorial)

You can use lists as tables of values. You can generate the tables, for example, by evaluating an expression for a sequence of different parameter values. This gives a table ...

Variables in Pure Functions and Rules (Mathematica Tutorial)

Module and With allow you to give a specific list of symbols whose names you want to treat as local. In some situations, however, you want to automatically treat certain ...

Loops and Control Structures (Mathematica Tutorial)

The execution of a Mathematica program involves the evaluation of a sequence of Mathematica expressions. In simple programs, the expressions to be evaluated may be separated ...

Selecting Data with Raw SQL (DatabaseLink Tutorial)

The raw SQL command SELECT selects and returns data from a database. An alternative is to use the Mathematica command SQLSelect, described in "Selecting Data". If you find ...

AiryAi (Built-in Mathematica Symbol)

AiryAi[z] gives the Airy function Ai(z).

AiryAiPrime (Built-in Mathematica Symbol)

AiryAiPrime[z] gives the derivative of the Airy function Ai^\[Prime] (z).

AiryBi (Built-in Mathematica Symbol)

AiryBi[z] gives the Airy function Bi(z).

CellularAutomaton (Built-in Mathematica Symbol)

CellularAutomaton[rule, init, t] generates a list representing the evolution of the cellular automaton with the specified rule from initial condition init for t steps. ...

Orthogonalize (Built-in Mathematica Symbol)

Orthogonalize[{v_1, v_2, ...}] gives an orthonormal basis found by orthogonalizing the vectors v_i.Orthogonalize[{e_1, e_2, ...}, f] gives a basis for the e_i orthonormal ...

SystemsModelExtract (Built-in Mathematica Symbol)

SystemsModelExtract[sys, {i_1, i_2, ...}] extracts the subsystem of the StateSpaceModel or TransferFunctionModel object sys associated with inputs at position ...