In general, a system of ordinary differential equations (ODEs) can be expressed in the normal form, The derivatives of the dependent variables x are expressed explicitly in ...

You can use files on your computer system to store definitions and results from Mathematica. The most general approach is to store everything as plain text that is ...

An expression like x^2+2x-7==0 represents an equation in Mathematica. You will often need to solve equations like this, to find out for what values of x they are true. This ...

Introduction Calling .NET from Mathematica Calling Mathematica from .NET

RemoteKernelOpen[spec] launches a kernel with the given specification.RemoteKernelOpen[{spec_1, spec_2, ...}] launches kernels in parallel.

Mathematica's core tree-oriented symbolic language makes it well suited to working with a hierarchical view of C code as Mathematica expressions. This supports the use of the ...

NFourierCoefficient[expr, t, n] gives a numerical approximation to the n \[Null]^th coefficient in the Fourier exponential series expansion of expr, where expr is a periodic ...

NFourierCosCoefficient[expr, t, n] gives a numerical approximation to the n\[Null]^th coefficient in the Fourier cosine series expansion of expr, where expr is a periodic ...

NFourierSinCoefficient[expr, t, n] gives a numerical approximation to the n\[Null]^th coefficient in the Fourier sine series expansion of expr, where expr is a periodic ...

Due to the complex inner workings of the Notation Package it is helpful to outline some of the more advanced features and structures of the Mathematica front end and how they ...