HeavisideTheta[x] represents the Heaviside theta function \[Theta](x), equal to 0 for x < 0 and 1 for x > 0. HeavisideTheta[x_1, x_2, ...] represents the multidimensional ...

EmpiricalDistribution[{x_1, x_2, ...}] represents an empirical distribution based on the data values x_i.EmpiricalDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...}] ...

NewtonCotesError[n, f, a, b] gives the error in the elementary n-point Newton-Cotes quadrature formula for the function f on an interval from a to b.

NewtonCotesWeights[n, a, b] gives a list of the n pairs {x_i, w_i} of the elementary n-point Newton-Cotes formula for quadrature on the interval a to b, where w_i is the ...

RungeKuttaOrderConditions[p, s] gives a list of the order conditions that any s-stage Runge\[Dash]Kutta method of order p must satisfy. RungeKuttaOrderConditions[p] gives the ...

Each version of Mathematica comes with a variety of standard extra packages that provide specific additional functionality. The specific code of these packages can be ...

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

Spacer[w] displays as a spacer w printer's points wide.Spacer[{w, h}] displays as a spacer w points wide and a total of h points high.Spacer[{w, h, dh}] makes the spacer ...

PearsonDistribution[a_1, a_0, b_2, b_1, b_0] represents a distribution of the Pearson family with parameters a_1, a_0, b_2, b_1, and b_0.PearsonDistribution[type, a_1, a_0, ...

This loads packages containing some test problems and utility functions. One of the first and simplest methods for solving initial value problems was proposed by Euler: ...