Infinite+extension

  • 81Von Neumann algebra — In mathematics, a von Neumann algebra or W* algebra is a * algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. They were originally introduced by John von Neumann,… …

    Wikipedia

  • 82Boolean 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… …

    Wikipedia

  • 83P-adic number — In mathematics, the p adic number systems were first described by Kurt Hensel in 1897 [cite journal | last = Hensel | first = Kurt | title = Über eine neue Begründung der Theorie der algebraischen Zahlen | journal =… …

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  • 84Self-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.… …

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  • 85Cartesianism — See Cartesian. * * * Philosophical tradition derived from the philosophy of René Descartes. A form of rationalism, Cartesianism upholds a metaphysical dualism of two finite substances, mind and matter. The essence of mind is thinking; the essence …

    Universalium

  • 86language — /lang gwij/, n. 1. a body of words and the systems for their use common to a people who are of the same community or nation, the same geographical area, or the same cultural tradition: the two languages of Belgium; a Bantu language; the French… …

    Universalium

  • 87INFINI MATHÉMATIQUE — Le mot «infini» désigne un concept à entrées multiples. Il s’ouvre d’abord sur l’ontologie et signifie alors, selon la tradition, «l’être tel qu’on n’en saurait concevoir de plus grand» («ens quo majus concipi non potest »). Ce fut pour une… …

    Encyclopédie Universelle

  • 88Axiom of choice — This article is about the mathematical concept. For the band named after it, see Axiom of Choice (band). In mathematics, the axiom of choice, or AC, is an axiom of set theory stating that for every family of nonempty sets there exists a family of …

    Wikipedia

  • 89Chebotarev's density theorem — in algebraic number theory describes statistically the splitting of primes in a given Galois extension K of the field Q of rational numbers. Generally speaking, a prime integer will factor into several ideal primes in the ring of algebraic… …

    Wikipedia

  • 90Creation — • Like other words of the same ending, the term creation signifies both an action and the object or effect thereof. Thus, in the latter sense, we speak of the kingdoms of creation , the whole creation , and so on Catholic Encyclopedia. Kevin… …

    Catholic encyclopedia