Infinite+extension
111Cyclic group — Group theory Group theory …
112Examples of vector spaces — This page lists some examples of vector spaces. See vector space for the definitions of terms used on this page. See also: dimension, basis. Notation . We will let F denote an arbitrary field such as the real numbers R or the complex numbers C.… …
113Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… …
114Interpretation (logic) — An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely syntactic terms, and as such do not have any meaning until …
115Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …
116Herbert of Cherbury (Lord) and the Cambridge Platonists — Lord Herbert of Cherbury and the Cambridge Platonists Sarah Hutton The philosophy of Lord Herbert of Cherbury (1582/3–1648) and of the Cambridge Platonists exemplifies the continuities of seventeenth century thought with Renaissance philosophy.… …
117Löwenheim–Skolem theorem — In mathematical logic, the Löwenheim–Skolem theorem, named for Leopold Löwenheim and Thoralf Skolem, states that if a countable first order theory has an infinite model, then for every infinite cardinal number κ it has a model of size κ. The… …
118Dilworth's theorem — In mathematics, in the areas of order theory and combinatorics, Dilworth s theorem characterizes the width of any finite partially ordered set in terms of a partition of the order into a minimum number of chains. It is named for the mathematician …
119Theorie de Galois inverse — Théorie de Galois inverse En mathématiques et plus précisément en algèbre la Théorie de Galois inverse est une branche de la Théorie de Galois. L objet de la théorie est de répondre à la question : Soit G un groupe et K un corps, existe t il …
120Théorie de Galois inverse — En mathématiques et plus précisément en algèbre la théorie de Galois inverse est une branche de la théorie de Galois. L objet de la théorie est de répondre à la question : Soit G un groupe et K un corps, existe t il une extension de corps de …
