Whenever machine-precision numbers appear in a calculation, the whole calculation is typically done in machine precision. Mathematica will then give machine-precision numbers ...

Converting between symbols and their names. Here is the symbol x. Its name is a string.

Functions in Mathematica are carefully set up so that you normally do not have to know how they work inside. But particularly for numerical functions that use iterative ...

Invisible characters. In the input there is an invisible comma between the 1 and 2. Here there is an invisible space between the x and y, interpreted as multiplication.

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 ...

The built-in functions of Mathematica implement a very large number of algorithms from computer science and mathematics. Some of these algorithms are fairly old, but the vast ...

Mathematica treats equations as logical statements. If you type in an equation like x^2+3x==2, Mathematica interprets this as a logical statement which asserts that x^2+3x is ...

MakeJavaObject[expr] constructs a new Java object whose "value" is expr.

ListCorrelate[ker, list] forms the correlation of the kernel ker with list. ListCorrelate[ker, list, k] forms the cyclic correlation in which the k \[Null]^th element of ker ...

Mathematica provides fully integrated spline graphics primitives, such as Bézier curves, B-spline curves, and B-spline surfaces. The spline primitives support a full range of ...