Mathematica gives you the ability to fine-tune the level of detail for your plots. To get a rough sketch of a plot, you can tell Mathematica to plot fewer points. The more ...

E is the exponential constant E (base of natural logarithms), with numerical value \[TildeEqual] 2.71828.

Pi is \[Pi], with numerical value \[TildeEqual] 3.14159.

ReadList["file"] reads all the remaining expressions in a file and returns a list of them. ReadList["file", type] reads objects of the specified type from a file, until the ...

Remove[symbol_1, ...] removes symbols completely, so that their names are no longer recognized by Mathematica. Remove["form_1", "form_2", ...] removes all symbols whose names ...

ToExpression[input] gives the expression obtained by interpreting strings or boxes as Mathematica input. ToExpression[input, form] uses interpretation rules corresponding to ...

Functions for constructing matrices. This generates a 2×2 matrix whose i,j^th entry is a[i,j]. Here is another way to produce the same matrix.

Just as Mathematica allows you to define how expressions should be evaluated, so also it allows you to define how expressions should be formatted for output. The basic idea ...

There are a number of functions built into Mathematica which, like Plot, have various options you can set. Mathematica provides some general mechanisms for handling such ...

Expressions corresponding to notebooks. Here is a simple Mathematica notebook. Here is the expression that corresponds to this notebook.