Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

HistogramList[{x_1, x_2, ...}] gives a list of bins and histogram heights of the values x_i.HistogramList[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...}] gives a list of bins and ...

NDSolve returns solutions as InterpolatingFunction objects. Most of the time, simply using these as functions does what is needed, but occasionally it is useful to access the ...

ParametricPlot3D[{f_x, f_y, f_z}, {u, u_min, u_max}] produces a three-dimensional space curve parametrized by a variable u which runs from u_min to u_max. ...

Mathematica provides representation of algebraic numbers as Root objects. A Root object contains the minimal polynomial of the algebraic number and the root number—an integer ...

TeXForm[expr] prints as a TeX version of expr.

EvaluationMonitor is an option for various numerical computation and plotting functions that gives an expression to evaluate whenever functions derived from the input are ...

RandomChoice[{e_1, e_2, ...}] gives a pseudorandom choice of one of the e_i. RandomChoice[list, n] gives a list of n pseudorandom choices. RandomChoice[list, {n_1, n_2, ...}] ...

HarmonicMean[list] gives the harmonic mean of the values in list.

Basic 3D plotting function. This makes a three-dimensional plot of the function sin(xy). Three-dimensional graphics can be rotated in place by dragging the mouse inside of ...