Huge numerical datasets are routine for Mathematica. Its powerful array primitives make large-scale array manipulation both easy to specify and highly efficient. And its ...

Mathematica represents vectors as lists, and never needs to distinguish between row and column cases. Vectors in Mathematica can always mix numbers and arbitrary symbolic or ...

The primes have been a focal point for investigations of numbers for more than two millennia. Mathematica implements state-of-the-art algorithms for handling both primes and ...

Mathematica has powerful capabilities for explicit signal processing with large volumes of data, imported and exported in many formats, and for symbolic analysis of signal ...

Mathematica 's differential equation solving functions can be applied to many classes of differential equations, automatically selecting the appropriate algorithms without ...

CrossingDetect[image] gives a binary image in which white pixels correspond to the zero crossings in image.CrossingDetect[image, delta] treats values in image that are ...

When you use //N to get a numerical result, Mathematica does what a standard calculator would do: it gives you a result to a fixed number of significant figures. You can also ...

When you manipulate power series, it is sometimes convenient to think of the series as representing functions, which you can, for example, compose or invert. Composition and ...

Partial differentiation operations. This gives ( ∂ ) / ( ∂x ) x^n. This gives the third derivative.

A Bernoulli equation is a first-order equation of the form The problem of solving equations of this type was posed by James Bernoulli in 1695. A year later, in 1696, G. ...