Mathematics. Originally: a variable quantity regarded in relation to a variable or variables upon which its value depends; an algebraic expression…

Mathematics. An exponential quantity or function; spec. the Napierian base e raised to the power denoted by the variable; the Napierian…

A mathematical function by the differentiation of which can be expressed the (gravitational, electromagnetic, etc.) force at any point in space…

Mathematics. A group of rational integral functions so related that, on their being severally multiplied by other rational integral functions, the…

Mathematics. A function formed from two or more of the possible permutations of a group of items linearly arranged, each being positive or negative…

a kind of function used in solving non-homogeneous differential equations.

attributive and in other combinations, as theta-sounding adj.; theta-function n. in Mathematics, a name for two different functions: (a) the sum…

= Green function n. at Green, n.2 2. rare.

A Gudermannian function.

A function whose vanishing indicates the equality of all the integrating factors of a differential equation.

Pertaining to or invented by Weierstrass, esp. Weierstrassian function.

Mathematics. A rational integral function of a number of quantics of assigned weights, which is of one degree and one weight throughout (Prof…

In various scientific uses; esp. Mathematics. beta distribution, a distribution of a variate x of the form dF = x p − 1(1 − x)q − 1 dx/B(p, q)…

(a) the number of distinct ways in which a given number of objects can be distributed according to a particular partition (partition, n. 4b); (b)…

an analytic function ζ of the complex variable z equal to 1−z + 2−z + 3−z + … when the real part of z is greater than 1. Also written Riemann ζ fun…

= Airy function n. at sense 6.

a function [u, v] of two dynamical variables u(p 1, p 2,…p n, q 1, q 2,…q n) and v(p 1, p 2,…p n, q 1, q 2,…q n) equal to ∑n r = 1 ∂u/∂q r ∂v/∂p r…

Used attributively and in the possessive to designate concepts in the theory of numbers. either of two functions of an integer n which are…

Mathematics. Originally: a function that has other functions as its argument. In later use also: a function that maps elements of a vector space…

Mathematics and Physics. A binary function of a topological space which gives, for any two points of the space, a value equal to the distance…

Used attributively or in the possessive to designate certain principles enunciated by Fourier and many mathematical expressions and techniques…

a function which has or which may be given a recursive definition; also in extended use.

a mathematical function which ranks alternatives according to their utility to an individual.

either of the two linearly independent solutions to the differential equation d2 y/dx 2−xy = 0, which are usually expressed in the form of an…

a mathematical function relating the output or response of anything to the input or stimulus; also transferred.

(in linear programming) the function that it is desired to maximize or minimize.

Mathematics. A function f whose domain is a subset of the domain of a given function g, whose codomain is the codomain of g, and for which f(x) = g(x…

Mathematics. A function having more than one value for a single value of its argument; a many-valued function.

(a) Mathematics = sense 5; (b) Molecular Biology the creation of a restriction map; the use of such maps, esp. for the analysis of genomes; an…

a function whose value is a scalar.

Used attributively and in the possessive to designate concepts invented by Langevin or arising out of his work, as Langevin equation n. also Langevin'…

Mathematics. In full probability mass function. A function giving the probability that a discrete random variable will take a specific value.