Xor[e_1, e_2, ...] is the logical XOR (exclusive OR) function. It gives True if an odd number of the e_i are True, and the rest are False. It gives False if an even number of ...

Unless f is a flat function, a pattern like f[x_,y_] stands only for instances of the function with exactly two arguments. Sometimes you need to set up patterns that can ...

The Part function allows you to access specific parts of Mathematica expressions. But particularly when your expressions have fairly uniform structure, it is often convenient ...

The replacement operator /. allows you to apply transformation rules to a specific expression. Often, however, you want to have transformation rules automatically applied ...

There are many situations where you want to write a particular algebraic expression in the simplest possible form. Although it is difficult to know exactly what one means in ...

For ordinary polynomials, Factor and Expand give the most important forms. For rational expressions, there are many different forms that can be useful. Different kinds of ...

Mathematica notebooks consist of sequences of cells. The hierarchy of cells serves as a structure for organizing the information in a notebook, as well as specifying the ...

$JavaExceptionHandler allows you to control how exceptions thrown in Java are handled in Mathematica.

$NETExceptionHandler allows you to control how exceptions thrown in .NET are handled in Mathematica.

OpenCLLink allows Mathematica to use the OpenCL parallel computing language. It contains functions that facilitate loading user-defined OpenCL functions into Mathematica. ...