In Mathematica's standard notebook interface, you are directly giving input and getting output every time you press Shift+Enter. Although much more rarely needed than in more ...

At the core of Mathematica is the foundational idea that everything —data, programs, formulas, graphics, documents—can be represented as symbolic expressions. And it is this ...

ListVectorPlot3D[array] generates a 3D vector plot from a 3D array of vector field values.ListVectorPlot3D[{{{x_1, y_1, z_1}, {vx_1, vy_1, vz_1}}, ...}] generates a 3D vector ...

ListLineIntegralConvolutionPlot[{array, image}] generates a line integral convolution plot of image convolved with the vector field defined by an array of vector field ...

ListVectorDensityPlot[array] generates a vector plot from a 2D array of vector and scalar field values {{vx_ij, vy_ij}, s_ij}. ListVectorDensityPlot[{{{x_1, y_1}, {{vx_1, ...

ListVectorPlot[array] generates a vector plot from an array of vector field values.ListVectorPlot[{{{x_1, y_1}, {vx_1, vy_1}}, ...}] generates a vector plot from vector field ...

ListStreamPlot[array] generates a stream plot from an array of vector field values.ListStreamPlot[{{{x_1, y_1}, {vx_1, vy_1}}, ...}] generates a stream plot from vector field ...

Mathematica can routinely import and export hundreds of megabytes in all standard basic formats—in addition to supporting hundreds of more structured formats.

Basic descriptive statistics operations. Given a list with n elements x_i, the mean Mean[list] is defined to be μ(x)OverscriptBox[x, _]∑x_i/n. The variance Variance[list] ...

Mathematica symbolic expressions can represent an immense range of types of objects. Mathematica provides a rich collection of functions to test expressions. Functions that ...