$PerformanceGoal gives the default setting for the option PerformanceGoal for graphics and other algorithmic functions.

$ProcessorType is a string giving the architecture of the processor on which Mathematica is being run.

$SystemCharacterEncoding gives the default raw character encoding for the computer system on which Mathematica is being run.

Structural Operations on Polynomials Finding the Structure of a Polynomial Polynomial Orderings

In an expression like f[{a,b,c}] you are giving a list as the argument to a function. Often you need instead to apply a function directly to the elements of a list, rather ...

The general solution to a differential equation contains undetermined coefficients that are labeled C[1], C[2], and so on. This example has one undetermined parameter, C[1]. ...

This equation is solved by simply integrating the right-hand side with respect to x. Here is a plot of the integral curves for different values of the arbitrary constant C[1].

Converting notebooks to HTML. Export has many options applying to HTML export that allow you to specify how notebooks should be converted for web browsers with different ...

In many kinds of calculations, you may find yourself typing the same input to Mathematica over and over again. You can save yourself a lot of typing by defining a function ...

Steps in the operation of Mathematica. When you type something like x^2 what Mathematica at first sees is just the string of characters x, ^, 2. But with the usual way that ...