RGBColor[red, green, blue] is a graphics directive specifying that objects that follow are to be displayed, if possible, in the color given. RGBColor[r, g, b, a] specifies ...

ShearingMatrix[\[Theta], v, n] gives the matrix corresponding to shearing by \[Theta] radians along the direction of the vector v, and normal to the vector n.

SingularValueList[m] gives a list of the nonzero singular values of a matrix m. SingularValueList[{m, a}] gives the generalized singular values of m with respect to a. ...

StandardForm[expr] prints as the standard Mathematica two-dimensional representation of expr.

VectorPlot3D[{v_x, v_y, v_z}, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] generates a 3D vector plot of the vector field {v_x, v_y, v_z} as a function of x, y, ...

WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...

If you represent the n^th term in a sequence as a[n], you can use a recurrence equation to specify how it is related to other terms in the sequence. RSolve takes recurrence ...

Mathematica can run parallel kernels in a number of different ways; locally on the same machine or remote on other machines connected in a network. Furthermore, the network ...

Parallel computing in Mathematica is based on launching and controlling multiple Mathematica kernel (worker) processes from within a single master Mathematica, providing a ...