For most differential equations, the results given by NDSolve are quite accurate. However, because its results are based on numerical sampling and error estimates, there can ...

NullSpace[m] gives a list of vectors that forms a basis for the null space of the matrix m.

Two ways to set up automatic numbering in a Mathematica notebook. These cells are in DisplayFormulaNumbered style. DisplayFormulaNumbered style is available in the default ...

Mathematica symbolic expressions can represent an immense range of types of objects. Mathematica provides a rich collection of functions to test expressions. Functions that ...

ComplexityFunction is an option for Simplify and other functions which gives a function to rank the complexity of different forms of an expression.

DaubechiesWavelet[] represents a Daubechies wavelet of order 2. DaubechiesWavelet[n] represents a Daubechies wavelet of order n.

SymletWavelet[] represents the Symlet wavelet of order 4.SymletWavelet[n] represents the Symlet wavelet of order n.

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 ...

The simplest way to mix text and formulas in a Mathematica notebook is to put each kind of material in a separate cell. Sometimes, however, you may want to embed a formula ...

Mathematica contains hundreds of original algorithms for computing integer functions involving integers of any size.