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 ...

Summary of New Features in 7.0 (Mathematica Guide)

The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...

Advanced Numerical Differential ... (Mathematica Tutorial)

[AP91] Ascher, U. and L. Petzold. "Projected Implicit Runge–Kutta Methods for Differential Algebraic Equations." SIAM J. Numer. Anal. 28 (1991): 1097–1120. [AP98] Ascher, U. ...

LinearModelFit (Built-in Mathematica Symbol)

LinearModelFit[{y_1, y_2, ...}, {f_1, f_2, ...}, x] constructs a linear model of the form \[Beta]_0 + \[Beta]_1 f_1 + \[Beta]_2 f_2 + ... that fits the y_i for successive x ...

LeveneTest (Built-in Mathematica Symbol)

LeveneTest[data] tests whether the variance of data is 1. LeveneTest[{data_1, data_2}] tests whether the variances of data_1 and data_2 are equal.LeveneTest[dspec, ...

Composition and Splitting Methods for ... (Mathematica Tutorial)

In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...

NSeries (Numerical Calculus Package Symbol)

NSeries[f, {x, x_0, n}] gives a numerical approximation to the series expansion of f about the point x = x_0 including the terms (x - x_0) -n through (x - x_0) n.

Summary of New Features in 6.0 (Mathematica Guide)

Mathematica 6.0 fundamentally redefined Mathematica and introduced a major new paradigm for computation. Building on Mathematica's time-tested core symbolic architecture, ...

EventLocator Method for NDSolve (Mathematica Tutorial)

It is often useful to be able to detect and precisely locate a change in a differential system. For example, with the detection of a singularity or state change, the ...

CUDA Programming (CUDALink Tutorial)

CUDA is a general C-like programming developed by NVIDIA to program Graphical Processing Units (GPUs). CUDALink provides an easy interface to program the GPU by removing many ...