Mathematica 's differential equation solving functions can be applied to many classes of differential equations, automatically selecting the appropriate algorithms without ...

Turning conditions into numbers. Boole[expr] is a basic function that turns True and False into 1 and 0. It is sometimes known as the characteristic function or indicator ...

LineIntegralConvolutionPlot[{{v_x, v_y}, image}, {x, x_min, x_max}, {y, y_min, y_max}] generates a line integral convolution plot of image convolved with the vector field ...

Not only can Mathematica perform very complicated data analysis, it can also display these results in a formatted, easy-to-read display that can be used in other documents or ...

GraphEdit[] opens an interactive graph editor.GraphEdit[g] plots the graph g in the interactive graph editor.

Mathematica includes many powerful operations for working with lists. It is often desirable to map a function onto each individual element in a list. While listable functions ...

DifferenceDelta[f, i] gives the discrete difference \[DifferenceDelta]_i f = f(i + 1) - f(i).DifferenceDelta[f, {i, n}] gives the multiple difference DifferenceDelta[f, {i, ...

GraphCoordinates3D[g, options] calculates a visually appealing 3D layout of the vertices of a graph g and returns the coordinates of the vertices.

GraphCoordinates[g, options] calculates a visually appealing 2D layout of the vertices of the graph g and returns the coordinates of the vertices.

Mathematica has many matrix operations that support operations such as building, computing, and visualizing matrices. It also has a rich language for picking out and ...