$Echo gives a list of files and pipes to which all input is echoed.

$FrontEndSession is a global symbol that represents the current session of the front end from which the kernel is being run.

$NewSymbol is a global variable which, if set, is applied to the name and context of each new symbol that Mathematica creates.

Solving linear first-order ODEs is straightforward and only requires the use of a suitable integrating factor. In sharp contrast, there are a large number of methods ...

The following is a linear first-order ODE because both y[x] and y^ ′[x] occur in it with power 1 and y^′[x] is the highest derivative. Note that the solution contains the ...

Mathematica notebooks provide a sophisticated environment for creating technical documents. But particularly if you want to merge your work with existing material in TeX, you ...

When Mathematica cannot give you an explicit result for an integral, it leaves the integral in a symbolic form. It is often useful to manipulate this symbolic form. ...

NIntegrate Introduction NIntegrate Integration Strategies NIntegrate Integration Rules

You will encounter nested lists if you use matrices or generate multidimensional arrays and tables. Mathematica provides many functions for handling such lists. A few ...

The function Flatten allows you to explicitly flatten out all sublists. FlattenAt lets you specify at what positions you want sublists flattened. Sequence objects ...