ParametricPlot3D (Built-in Mathematica Symbol)

ParametricPlot3D[{f_x, f_y, f_z}, {u, u_min, u_max}] produces a three-dimensional space curve parametrized by a variable u which runs from u_min to u_max. ...

Statistical Model Analysis (Mathematica Tutorial)

When fitting models to data, it is often useful to analyze how well the model fits the data and how well the fitting meets the assumptions of the model. For a number of ...

Parallel Computation (Compiled Function Tools Tutorial)

The Mathematica compiler can run computations in parallel. It does this by threading a compiled function over lists of data in parallel. A first step is to create a compiled ...

DiscreteWaveletData (Built-in Mathematica Symbol)

DiscreteWaveletData[{wind_1 -> coef_1, ...}, wave, wtrans] yields a discrete wavelet data object with wavelet coefficients coef_i corresponding to wavelet index wind_i, ...

GroebnerBasis (Built-in Mathematica Symbol)

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

Integrate (Built-in Mathematica Symbol)

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

ListDensityPlot (Built-in Mathematica Symbol)

ListDensityPlot[array] generates a smooth density plot from an array of values. ListDensityPlot[{{x_1, y_1, f_1}, {x_2, y_2, f_2}, ...}] generates a density plot with values ...

ListLogPlot (Built-in Mathematica Symbol)

ListLogPlot[{y_1, y_2, ...}] makes a log plot of the y_i, assumed to correspond to x coordinates 1, 2, ....ListLogPlot[{{x_1, y_1}, {x_2, y_2}, ...}] makes a log plot of the ...

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 ...

Plot (Built-in Mathematica Symbol)

Plot[f, {x, x_min, x_max}] generates a plot of f as a function of x from x_min to x_max. Plot[{f_1, f_2, ...}, {x, x_min, x_max}] plots several functions f_i.