countable family
31Monotone convergence theorem — In mathematics, there are several theorems dubbed monotone convergence; here we present some major examples. Contents 1 Convergence of a monotone sequence of real numbers 1.1 Theorem 1.2 Proof 1.3 …
32Nuclear space — In mathematics, a nuclear space is a topological vector space with many of the good properties of finite dimensional vector spaces. The topology on them can be defined by a family of seminorms whose unit balls decrease rapidly in size. Vector… …
33Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …
34Normal number — For the floating point meaning in computing, see normal number (computing). In mathematics, a normal number is a real number whose infinite sequence of digits in every base b[1] is distributed uniformly in the sense that each of the b digit… …
35Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to …
36Nachbin's theorem — Exponential type redirects here. For exponential types in type theory and programming languages, see Function type. In mathematics, in the area of complex analysis, Nachbin s theorem (named after Leopoldo Nachbin) is commonly used to establish a… …
37Fréchet algebra — In mathematics, a Fréchet algebra is a topological algebra, in which the topology is given by a countable family of submultiplicative seminorms:: p (fg) ≤ p (f) p (g),and the algebra is complete.For example, A can be equal to C(C), the algebra of …
38Whitney conditions — In differential topology, a branch of mathematics, the Whitney conditions are conditions on a pair of submanifolds of a manifold introduced by Hassler Whitney in 1965. A finite filtration by closed subsets F i of a smooth manifold such that the… …
39Tai languages — Family of closely related languages spoken in Southeast Asia and southern China by more than 80 million people. According to a widely used classification, Tai comprises three branches. The Southwestern group includes Thai, the national language… …
40Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …
