DSolve (Built-in Mathematica Symbol)

DSolve[eqn, y, x] solves a differential equation for the function y, with independent variable x. DSolve[{eqn_1, eqn_2, ...}, {y_1, y_2, ...}, x] solves a list of ...

KirchhoffGraph (Built-in Mathematica Symbol)

KirchhoffGraph[kmat] gives the graph with Kirchhoff matrix kmat.KirchhoffGraph[{v_1, v_2, ...}, kmat] gives the graph with vertices v_i and Kirchhoff matrix kmat.

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 ...

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.

RandomGraph (Built-in Mathematica Symbol)

RandomGraph[{n, m}] gives a pseudorandom graph with n vertices and m edges.RandomGraph[{n, m}, k] gives a list of k pseudorandom graphs.RandomGraph[gdist, ...] samples from ...

SystemsModelFeedbackConnect (Built-in Mathematica Symbol)

SystemsModelFeedbackConnect[sys] gives the closed-loop system for the StateSpaceModel or TransferFunctionModel object sys with unity negative feedback. ...

WeightedAdjacencyGraph (Built-in Mathematica Symbol)

WeightedAdjacencyGraph[wmat] gives the graph with weighted adjacency matrix wmat.WeightedAdjacencyGraph[{v_1, v_2, ...}, wmat] gives the graph with vertices v_i and weighted ...

Calling Mathematica from .NET (NETLink Tutorial)

"Calling .NET from Mathematica" describes using .NET/Link to allow you to call from Mathematica into .NET, thereby extending the Mathematica environment to include the ...

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 ...

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 ...