EllipticPi (Built-in Mathematica Symbol)

EllipticPi[n, m] gives the complete elliptic integral of the third kind \[CapitalPi] (n \[VerticalSeparator] m). EllipticPi[n, \[Phi], m] gives the incomplete elliptic ...

EllipticTheta (Built-in Mathematica Symbol)

EllipticTheta[a, u, q] gives the theta function \[CurlyTheta]_a (u, q) (a = 1, ..., 4).

Zeta (Built-in Mathematica Symbol)

Zeta[s] gives the Riemann zeta function \[Zeta](s). Zeta[s, a] gives the generalized Riemann zeta function \[Zeta](s, a).

Utility Packages for Numerical ... (Mathematica Tutorial)

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 ...

Structure Matrices and Convolution ... (Mathematica Tutorial)

Constructing matrices with special shapes. This creates a matrix of 0s containing a radius 4 diamond of 1s. The result is a 9×9 matrix. The size of the matrix can be ...

LineIntegralConvolutionPlot (Built-in Mathematica Symbol)

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 ...

ListLineIntegralConvolutionPlot (Built-in Mathematica Symbol)

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

Tube (Built-in Mathematica Symbol)

Tube[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] represents a 3D tube around the line joining a sequence of points.Tube[{pt_1, pt_2, ...}, r] represents a tube of radius ...

BubbleChart3D (Built-in Mathematica Symbol)

BubbleChart3D[{{x_1, y_1, z_1, u_1}, {x_2, y_2, z_2, u_2}, ...}] makes a 3D bubble chart with bubbles at positions {x_i, y_i, z_i} with sizes u_i.BubbleChart3D[{..., ...

DensityPlot (Built-in Mathematica Symbol)

DensityPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] makes a density plot of f as a function of x and y.