Fit[data, funs, vars] finds a least-squares fit to a list of data as a linear combination of the functions funs of variables vars.

GatherBy[list, f] gathers into sublists each set of elements in list that gives the same value when f is applied.GatherBy[list, {f_1, f_2, ...}] gathers list into nested ...

RandomVariate[dist] gives a pseudorandom variate from the symbolic distribution dist.RandomVariate[dist, n] gives a list of n pseudorandom variates from the symbolic ...

ReplacePart[expr, i -> new] yields an expression in which the i\[Null]\[Null]^th part of expr is replaced by new. ReplacePart[expr, {i_1 -> new_1, i_2 -> new_2, ...}] ...

StateSpaceTransform[ss, s_1] transforms the StateSpaceModel object ss using the similarity matrix s_1.StateSpaceTransform[ss, {s_1, s_2}] computes the transformation using ...

SystemsModelStateFeedbackConnect[ss, controller] gives the closed-loop system for the StateSpaceModel object ss with state feedback controller ...

Around 1870, Marius Sophus Lie realized that many of the methods for solving differential equations could be unified using group theory. Lie symmetry methods are central to ...

Dynamic and Manipulate have holding attributes that are vital in making them work properly. However, those holding attributes can interfere with other structural operations ...

AppellF1[a, b_1, b_2, c, x, y] is the Appell hypergeometric function of two variables F_1 (a; b_1, b_2; c; x, y).

AspectRatio is an option for Graphics and related functions that specifies the ratio of height to width for a plot.