The Main Loop (Mathematica Tutorial)

In any interactive session, Mathematica effectively operates in a loop. It waits for your input, processes the input, prints the result, then goes back to waiting for input ...

Transactions (DatabaseLink Tutorial)

Some database operations involve carrying out a sequence of database commands. For example, information in two different tables may need to be updated. In these cases it may ...

TuringMachine (Built-in Mathematica Symbol)

TuringMachine[rule, init, t] generates a list representing the evolution of the Turing machine with the specified rule from initial condition init for t steps. ...

LogNormalDistribution (Built-in Mathematica Symbol)

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

Array (Built-in Mathematica Symbol)

Array[f, n] generates a list of length n, with elements f[i]. Array[f, {n_1, n_2, ...}] generates an n_1*n_2*... array of nested lists, with elements f[i_1, i_2, ...]. ...

CumulantGeneratingFunction (Built-in Mathematica Symbol)

CumulantGeneratingFunction[dist, t] gives the cumulant generating function for the symbolic distribution dist as a function of the variable t. ...

FixedPointList (Built-in Mathematica Symbol)

FixedPointList[f, expr] generates a list giving the results of applying f repeatedly, starting with expr, until the results no longer change.

Fold (Built-in Mathematica Symbol)

Fold[f, x, list] gives the last element of FoldList[f, x, list].

Join (Built-in Mathematica Symbol)

Join[list_1, list_2, ...] concatenates lists or other expressions that share the same head.Join[list_1, list_2, ..., n] joins the objects at level n in each of the list_i.

MovingAverage (Built-in Mathematica Symbol)

MovingAverage[list, r] gives the moving average of list, computed by averaging runs of r elements.MovingAverage[list, {w_1, w_2, ..., w_r}] gives the moving average of list, ...