You may find it useful to use one or more rules with an expression several times. Mathematica provides functions that let you iterate when using rules with expressions. In ...

Mathematica represents matrices and vectors using lists. Anything that is not a list Mathematica considers as a scalar. A vector in Mathematica consists of a list of scalars. ...

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, ...]. ...

Since many functions in Mathematica give solutions in the form of rules, you need to be able to use these rules to explore and interpret your results. Although many of the ...

NormFunction is an option for functions such as FindFit and NDSolve which gives a function to be minimized in generating results.

Mathematica provides a range of methods for representing and constructing matrices. Especially powerful are symbolic representations, in terms of symbolic systems of ...

ListAnimate[{expr_1, expr_2, ...}] generates an animation whose frames are the successive expr_i. ListAnimate[list, fps] displays fps frames per second.

StreamColorFunctionScaling is an option for graphics functions that specifies whether arguments supplied to a stream color function should be scaled to lie between 0 and 1.

VectorColorFunctionScaling is an option for graphics functions which specifies whether arguments supplied to a vector color function should be scaled to lie between 0 and 1.

SpheroidalJoiningFactor[n, m, \[Gamma]] gives the spheroidal joining factor with degree n and order m.