elementary domain

elementary domain
мат.
элементарная область

English-Russian scientific dictionary. 2008.

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  • Domain theory — is a branch of mathematics that studies special kinds of partially ordered sets (posets) commonly called domains. Consequently, domain theory can be considered as a branch of order theory. The field has major applications in computer science,… …   Wikipedia

  • Domain, Manitoba — is a hamlet in southern Manitoba. It is located approximately twenty miles south of Winnipeg. Commercial activity in the hamlet includes a Co op store that sells gasoline, hardware and agricultural supplies. There is a elementary school serving… …   Wikipedia

  • Elementary divisors — In algebra, the elementary divisors of a module over a principal ideal domain occur in one form of the structure theorem for finitely generated modules over a principal ideal domain.If R is a PID and M a finitely generated R module, then M is… …   Wikipedia

  • Elementary function — This article discusses the concept of elementary functions in differential algebra. For simple functions see the list of mathematical functions. For the concept of elementary form of an atom see oxidation state. In mathematics, an elementary… …   Wikipedia

  • domain — 01. The savannah is the supreme [domain] of the African lion. 02. Chimpanzees in the wild have been observed using different objects to make tools, a skill previously thought to be the exclusive [domain] of humans. 03. Opposition members are… …   Grammatical examples in English

  • Elementary embedding — In model theory, an elementary embedding is a special case of an embedding that preserves all first order formulas.DefinitionGiven models M and N in the same language L, a function: f:M o Nis called an elementary embedding if f(M) is an… …   Wikipedia

  • Elementary, Dear Data — ST episode name = Elementary, Dear Data series = TNG ep num = 29 prod num = 129 date = December 5, 1988 writer = Brian Alan Lane director = Rob Bowman guest = Diana Muldaur, Daniel Davis, Alan Shearman stardate = 42286.3 year = 2365 prev = Where… …   Wikipedia

  • Structure theorem for finitely generated modules over a principal ideal domain — In mathematics, in the field of abstract algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the fundamental theorem of finitely generated abelian groups and roughly states that… …   Wikipedia

  • Attribute domain — The attribute domain is the set of values allowed in an attribute.For example: Rooms in hotel (1 300) Age (1 99) Married (yes or no) Nationality (Sri Lankan, Indian, American, or British)For the relational model it is a requirement that each part …   Wikipedia

  • Integral domain — In abstract algebra, an integral domain is a commutative ring that has no zero divisors,[1] and which is not the trivial ring {0}. It is usually assumed that commutative rings and integral domains have a multiplicative identity even though this… …   Wikipedia

  • Unique factorization domain — In mathematics, a unique factorization domain (UFD) is, roughly speaking, a commutative ring in which every element, with special exceptions, can be uniquely written as a product of prime elements, analogous to the fundamental theorem of… …   Wikipedia


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