Tables and Matrices (Mathematica Tutorial)

Formatting lists as tables and matrices. Here is a list. Grid gives the list typeset in a tabular format.

RotationMatrix (Built-in Mathematica Symbol)

RotationMatrix[\[Theta]] gives the 2D rotation matrix that rotates 2D vectors counterclockwise by \[Theta] radians.RotationMatrix[\[Theta], w] gives the 3D rotation matrix ...

ArgMax (Built-in Mathematica Symbol)

ArgMax[f, x] gives a position x_max at which f is maximized.ArgMax[f, {x, y, ...}] gives a position {x_max, y_max, ...} at which f is maximized.ArgMax[{f, cons}, {x, y, ...}] ...

MaxValue (Built-in Mathematica Symbol)

MaxValue[f, x] gives the maximum value of f with respect to x.MaxValue[f, {x, y, ...}] gives the maximum value of f with respect to x, y, .... MaxValue[{f, cons}, {x, y, ...

Blocks and Local Values (Mathematica Tutorial)

Modules in Mathematica allow you to treat the names of variables as local. Sometimes, however, you want the names to be global, but values to be local. You can do this in ...

ListPolarPlot (Built-in Mathematica Symbol)

ListPolarPlot[{r_1, r_2, ...}] plots points equally spaced in angle at radii r_i.ListPolarPlot[{{\[Theta]_1, r_1}, {\[Theta]_2, r_2}, ...}] plots points at polar coordinates ...

Conjugate (Built-in Mathematica Symbol)

Conjugate[z] or z\[Conjugate] gives the complex conjugate of the complex number z.

Rationalize (Built-in Mathematica Symbol)

Rationalize[x] converts an approximate number x to a nearby rational with small denominator. Rationalize[x, dx] yields the rational number with smallest denominator that lies ...

Plotting the Solution (Mathematica Tutorial)

A plot of the solution given by DSolve can give useful information about the nature of the solution, for instance, whether it is oscillatory in nature. It can also serve as a ...

Transpose (Built-in Mathematica Symbol)

Transpose[list] transposes the first two levels in list. Transpose[list, {n_1, n_2, ...}] transposes list so that the k\[Null]^th level in list is the n_k\[Null]^th level in ...