- real-closed field
- мат. вещественно замкнутое поле
Большой англо-русский и русско-английский словарь. 2001.
real-closed field
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Real closed field — In mathematics, a real closed field is a field F in which any of the following equivalent conditions are true:#There is a total order on F making it an ordered field such that, in this ordering, every positive element of F is a square in F and… … Wikipedia
p-adically closed field — In mathematics, a p adically closed field is a field that enjoys a closure property that is a close analogue for p adic fields to what real closure is to the real field. They were introduced by James Ax and Simon B. Kochen in 1965.[1] Contents 1… … Wikipedia
Algebraically closed field — In mathematics, a field F is said to be algebraically closed if every polynomial in one variable of degree at least 1, with coefficients in F , has a root in F . ExamplesAs an example, the field of real numbers is not algebraically closed,… … Wikipedia
Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers … Wikipedia
Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it … Wikipedia
Glossary of field theory — Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.) Definition of a field A field is a commutative ring… … Wikipedia
Field arithmetic — In mathematics, field arithmetic is a subject that studies the interrelations between arithmetic properties of a ql|field (mathematics)|field and its absolute Galois group.It is an interdisciplinary subject as it uses tools from algebraic number… … Wikipedia
Real algebraic geometry — In mathematics, real algebraic geometry is the study of real number solutions to algebraic equations with real number coefficients.Real plane curvesSince the real number field is not algebraically closed, the geometry of even a plane curve C in… … Wikipedia
Closed-eye hallucination — Closed eye hallucinations and closed eye visualizations (CEV) are a distinct class of hallucination. These types of hallucinations generally only occur when one s eyes are closed or when one is in a darkened room. They are a form of phosphene.… … Wikipedia
Existentially closed model — In model theory, a branch of mathematical logic, the notion of an existentially closed model of a theory generalizes the notions of algebraically closed fields (for the theory of fields), real closed fields (for the theory of ordered fields),… … Wikipedia
Real options valuation — Real options valuation, also often termed Real options analysis,[1] (ROV or ROA) applies option valuation techniques to capital budgeting decisions.[2] A real option itself, is the right but not the obligation to undertake some business decision; … Wikipedia
