Introduction to Constrained ... (Mathematica Tutorial)

Constrained optimization problems are problems for which a function f(x) is to be minimized or maximized subject to constraints Φ(x). Here f:^n  is called the objective ...

Introduction (Library Link Tutorial)

Most modern computer systems provide ways to collect code into libraries. These libraries are said to be dynamic if they can be loaded into an application at runtime rather ...

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.

RevolutionPlot3D (Built-in Mathematica Symbol)

RevolutionPlot3D[f_z, {t, t_min, t_max}] generates a plot of the surface of revolution with height f_z at radius t.RevolutionPlot3D[f_z, {t, t_min, t_max}, {\[Theta], ...

Gauss–Newton Methods (Mathematica Tutorial)

For minimization problems for which the objective function is a sum of squares, it is often advantageous to use the special structure of the problem. Time and effort can be ...

Developing an Import Converter (Mathematica Tutorial)

Mathematica provides functions that allow users to write their own file format converters and integrate them with the Mathematica Import and Export framework. You can ...

ArcCot (Built-in Mathematica Symbol)

ArcCot[z] gives the arc cotangent cot -1 (z) of the complex number z.

ArcCsch (Built-in Mathematica Symbol)

ArcCsch[z] gives the inverse hyperbolic cosecant csch -1 (z) of the complex number z.

Prime (Built-in Mathematica Symbol)

Prime[n] gives the n\[Null]^th prime number.

StirlingS2 (Built-in Mathematica Symbol)

StirlingS2[n, m] gives the Stirling number of the second kind \[ScriptCapitalS]_n^(m).