Numerical Calculus Package (Numerical Calculus Package Tutorial)

The functions defined in the NumericalCalculus` context provide support for finding numerical solutions to calculus-related problems. This loads the package: The built-in ...

NExpectation (Built-in Mathematica Symbol)

NExpectation[expr, x \[Distributed] dist] gives the numerical expectation of expr under the assumption that x follows the probability distribution dist.NExpectation[expr, ...

Numerical Nonlinear Global Optimization (Mathematica Tutorial)

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient-based methods use first ...

ParametricPlot (Built-in Mathematica Symbol)

ParametricPlot[{f_x, f_y}, {u, u_min, u_max}] generates a parametric plot of a curve with x and y coordinates f_x and f_y as a function of u. ParametricPlot[{{f_x, f_y}, ...

The GeneratedParameters Option (Mathematica Tutorial)

The general solution to a differential equation contains undetermined coefficients that are labeled C[1], C[2], and so on. This example has one undetermined parameter, C[1]. ...

ContourPlot3D (Built-in Mathematica Symbol)

ContourPlot3D[f, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] produces a three-dimensional contour plot of f as a function of x, y, and z. ContourPlot3D[f == g, ...

Representing XML in Mathematica (XML Package Tutorial)

Mathematica includes comprehensive support for XML, the meta-markup language developed by the World Wide Web Consortium (W3C) for describing structured documents and data. ...

FindMaximum (Built-in Mathematica Symbol)

FindMaximum[f, x] searches for a local maximum in f, starting from an automatically selected point.FindMaximum[f, {x, x_0}] searches for a local maximum in f, starting from ...

FindMinimum (Built-in Mathematica Symbol)

FindMinimum[f, x] searches for a local minimum in f, starting from an automatically selected point.FindMinimum[f, {x, x_0}] searches for a local minimum in f, starting from ...

PolarPlot (Built-in Mathematica Symbol)

PolarPlot[r, {\[Theta], \[Theta]_min, \[Theta]_max}] generates a polar plot of a curve with radius r as a function of angle \[Theta].PolarPlot[{f_1, f_2, ...}, {\[Theta], ...