- Dedekind section
- матем.дедекиндово сечение
English-Russian scientific dictionary. 2008.
Dedekind section
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Dedekind domain — In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals. It can be shown that such a factorization is then necessarily … Wikipedia
Dedekind cut — (or Dedekind section ) It has been known since the Greeks that there is no ratio of numbers, a/b, that is equal to the square root of 2. But there is no maximum ratio whose square is less than 2, and no minimum ratio whose square is greater than… … Philosophy dictionary
Dedekind cut — Dedekind used his cut to construct the irrational, real numbers. In mathematics, a Dedekind cut, named after Richard Dedekind, is a partition of the rationals into two non empty parts A and B, such that all elements of A are less than all… … Wikipedia
Dedekind — is the name of: People Brendon Dedekind (born 1976), South African swimmer Friedrich Dedekind (1524 1598), German humanist, theologian, and bookseller Richard Dedekind (1831 1916), German mathematician Other 19293 Dedekind, asteroid named after… … Wikipedia
Dedekind-infinite set — In mathematics, a set A is Dedekind infinite if some proper subset B of A is equinumerous to A. Explicitly, this means that there is a bijective function from A onto some proper subset B of A. A set is Dedekind finite if it is not Dedekind… … Wikipedia
Dedekind zeta function — In mathematics, the Dedekind zeta function of an algebraic number field K, generally denoted ζK(s), is a generalization of the Riemann zeta function which is obtained by specializing to the case where K is the rational numbers Q. In particular,… … Wikipedia
Dedekind psi function — In number theory, the Dedekind psi function is the multiplicative function on the positive integers defined by where the product is taken over all primes p dividing n (by convention, ψ(1) is the empty product and so has value 1). The function was … Wikipedia
Anneau de Dedekind — Richard Dedekind définit et établit les bases de la théorie des anneaux portant maintenant son nom. En mathématiques, un anneau de Dedekind est un anneau commutatif disposant de propriétés particulières. Sa formalisation initiale a pour objectif… … Wikipédia en Français
Fuzzy game — In combinatorial game theory, a fuzzy game is a game which is incomparable with the zero game: it is not greater than 0, which would be a win for Left; nor less than 0 which would be a win for Right; nor equal to 0 which would be a win for the… … Wikipedia
Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… … History of philosophy
List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… … Wikipedia
