function of n variables
81Hamilton's principal function — The Hamilton s principal function is defined by the Hamilton–Jacobi equation (HJE), another alternative formulation of classical mechanics. This function S is related to the usual action, mathcal{S}, by fixing the initial time t {1} and endpoint… …
82Nested function — definitions can be compared to how a Matryoshka doll nests within larger versions of itself, in several levels. In computer programming, a nested function (or nested procedure/subroutine) is a function which is lexically (textually) encapsulated… …
83Veblen 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,… …
84Pluriharmonic function — Let :f colon G subset {mathbb{C^n o {mathbb{C be a C^2 (twice continuously differentiable) function. f is called pluriharmonic if for every complex line :{ a + b z mid z in {mathbb{C } the function :z mapsto f(a + bz) is a harmonic function on… …
85Exchangeable random variables — An exchangeable sequence of random variables is asequence X 1, X 2, X 3, ... of random variables such that for any finite permutation sigma; of the indices 1, 2, 3, ..., i.e. any permutation sigma; that leaves all but finitely many indices fixed …
86Tarski's exponential function problem — In model theory, Tarski s exponential function problem asks whether the usual theory of the real numbers together with the exponential function is decidable. Tarski had previously shown that the theory of the real numbers (without the exponential …
87Associated Legendre function — Note: This article describes a very general class of functions. An important subclass of these functions mdash;those with integer ell and m mdash;are commonly called associated Legendre polynomials , even though they are not polynomials when m is …
88Logmoment generating function — In mathematics, the logarithmic momentum generating function (equivalent to cumulant generating function) ( logmoment gen func ) is defined as follows::mu {Y}(s)=ln E(e^{scdot Y})where Y is a random variable.Thus, if Y is a discrete random… …
89special function — ▪ mathematics any of a class of mathematical functions (function) that arise in the solution of various classical problems of physics. These problems generally involve the flow of electromagnetic, acoustic, or thermal energy. Different… …
90composite function — noun A function of one or more independent variables, at least one of which is itself a function of one or more other independent variables; a function of a function …
