NDSolve (Built-in Mathematica Symbol)

NDSolve[eqns, y, {x, x_min, x_max}] finds a numerical solution to the ordinary differential equations eqns for the function y with the independent variable x in the range ...

StreamDensityPlot (Built-in Mathematica Symbol)

StreamDensityPlot[{{v_x, v_y}, s}, {x, x_min, x_max}, {y, y_min, y_max}] generates a stream plot of the vector field {v_x, v_y} as a function of x and y, superimposed on a ...

FindDistributionParameters (Built-in Mathematica Symbol)

FindDistributionParameters[data, dist] finds the parameter estimates for the distribution dist from data.FindDistributionParameters[data, dist, {{p, p_0}, {q, q_0}, ...}] ...

ListLinePlot (Built-in Mathematica Symbol)

ListLinePlot[{y_1, y_2, ...}] plots a line through a list of values, assumed to correspond to x coordinates 1, 2, .... ListLinePlot[{{x_1, y_1}, {x_2, y_2}, ...}] plots a ...

NonlinearModelFit (Built-in Mathematica Symbol)

NonlinearModelFit[{y_1, y_2, ...}, form, {\[Beta]_1, ...}, x] constructs a nonlinear model with structure form that fits the y_i for successive x values 1, 2, ... using the ...

RegionPlot3D (Built-in Mathematica Symbol)

RegionPlot3D[pred, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] makes a plot showing the three-dimensional region in which pred is True.

RegionPlot (Built-in Mathematica Symbol)

RegionPlot[pred, {x, x_min, x_max}, {y, y_min, y_max}] makes a plot showing the region in which pred is True.

Introduction to Unconstrained ... (Mathematica Tutorial)

Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...

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 ...

Quasi-Newton Methods (Mathematica Tutorial)

There are many variants of quasi-Newton methods. In all of them, the idea is to base the matrix B_k in the quadratic model on an approximation of the Hessian matrix built up ...