Mathematica contains the world's largest collection of number theoretic functions, many based on specially developed algorithms.
BesselJ
(Built-in Mathematica Symbol) BesselJ[n, z] gives the Bessel function of the first kind J_n (z).
Or
(Built-in Mathematica Symbol) e_1 || e_2 || ... is the logical OR function. It evaluates its arguments in order, giving True immediately if any of them are True, and False if they are all False.
CoifletWavelet[] represents a Coiflet wavelet of order 2.CoifletWavelet[n] represents a Coiflet wavelet of order n.
HaarWavelet[] represents a Haar wavelet.
Not
(Built-in Mathematica Symbol) ! expr is the logical NOT function. It gives False if expr is True, and True if it is False.
Algebraic is now available as the newly added built-in Mathematica kernel function AlgebraicNumber. ToCommonField and ToNumberFieldElement are now available as the newly ...
Mathematica applies its strengths in calculus to the intricacies of integral transforms, with a host of original algorithms that probably now reach almost any closed form ...
BooleanConvert[expr] converts the Boolean expression expr to disjunctive normal form.BooleanConvert[expr, form] converts the Boolean expression expr to the specified ...
Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...