Lie Symmetry Methods for Solving ... (Mathematica Tutorial)

Around 1870, Marius Sophus Lie realized that many of the methods for solving differential equations could be unified using group theory. Lie symmetry methods are central to ...

The Database Explorer (DatabaseLink Tutorial)

The Database Explorer is a graphical interface to DatabaseLink. It provides a number of useful functions, such as managing connections and working with the data in a ...

Create a Matrix (Mathematica How To)

Matrices are represented in Mathematica with lists. They can be entered directly with the { } notation, constructed from a formula, or imported from a data file. Mathematica ...

Linear IVPs and BVPs (Mathematica Tutorial)

To begin, consider an initial value problem for a linear first-order ODE. This is a linear first-order ODE. Notice that the general solution is a linear function of the ...

BetaDistribution (Built-in Mathematica Symbol)

BetaDistribution[\[Alpha], \[Beta]] represents a continuous beta distribution with shape parameters \[Alpha] and \[Beta].

EmpiricalDistribution (Built-in Mathematica Symbol)

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, ...}, ...}] ...

FindRoot (Built-in Mathematica Symbol)

FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...

InverseGammaDistribution (Built-in Mathematica Symbol)

InverseGammaDistribution[\[Alpha], \[Beta]] represents an inverse gamma distribution with shape parameter \[Alpha] and scale parameter ...

InverseGaussianDistribution (Built-in Mathematica Symbol)

InverseGaussianDistribution[\[Mu], \[Lambda]] represents an inverse Gaussian distribution with mean \[Mu] and scale parameter \[Lambda].InverseGaussianDistribution[\[Mu], ...

ListSurfacePlot3D (Built-in Mathematica Symbol)

ListSurfacePlot3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] plots a three-dimensional surface constructed to fit the specified points.