explicit function
51p-adic L-function — In mathematics, a p adic zeta function, or more generally a p adic L function, is a function analogous to the Riemann zeta function, or more general L functions, but whose domain and target are p adic (where p is a prime number). For example, the …
52Veblen function — In mathematics, the Veblen functions are a hierarchy of functions from ordinals to ordinals, introduced by harvtxt|Veblen|1908. If phi;0 is any continuous strictly increasing function from ordinals to ordinals, then for any non zero ordinal α,… …
53Igusa zeta-function — In mathematics, an Igusa zeta function is a type of generating function, counting the number of solutions of an equation, modulo p , p 2, p 3, and so on. Definition For a prime number p let K be a p adic field, i.e. [K: mathbb{Q} p] …
54Legendre chi function — In mathematics, the Legendre chi function is a special function whose Taylor series is also a Dirichlet series, given by:chi u(z) = sum {k=0}^infty frac{z^{2k+1{(2k+1)^ u}.As such, it resembles the Dirichlet series for the polylogarithm, and,… …
55Majority function — In Boolean logic, the majority function (also called the median operator) is a function from n inputs to one output. The value of the operation is false when n/2 or more arguments are false, and true otherwise. Alternatively, representing true… …
56Riemann zeta function — ▪ mathematics function useful in number theory for investigating properties of prime numbers (prime). Written as ζ(x), it was originally defined as the infinite series ζ(x) = 1 + 2−x + 3−x + 4−x + ⋯. When x = 1, this series is called the… …
57Kummer's function — In mathematics, there are several functions known as Kummer s function. One is known as the confluent hypergeometric function of Kummer. Another one, defined below, is related to the polylogarithm. Both are named for Ernst Kummer.Kummer s… …
58implicit function theorem — Math. a theorem that gives conditions under which a function written in implicit form can be written in explicit form. * * * …
59implicit function theorem — Math. a theorem that gives conditions under which a function written in implicit form can be written in explicit form …
60Calculus of functions — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… …
