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Что (кто) такое Equivalence relations - определение
REFLEXIVE, SYMMETRIC AND TRANSITIVE RELATION
EquivalenceRelation; Graphing equivalence; Equivalency; Identification (mathematics); Equivalence relations; ≍; Geometric equivalence; ≎; ≭; ≑; Fine (mathematics); Fundamental theorem of equivalence relations
Найдено результатов: 3802
equivalence relation
<mathematics> A relation R on a set including elements a, b,
c, which is reflexive (a R a), symmetric (a R b => b R a) and
transitive (a R b R c => a R c). An equivalence relation
defines an equivalence class.
See also partial equivalence relation.
(1996-05-13)
equivalence relation
¦ noun Mathematics & Logic a relation between elements of a set which is reflexive, symmetric, and transitive and which defines exclusive classes whose members bear the relation to each other and not to those in other classes.
Equivalency
·noun ·same·as Equivalence.
equivalency
n.
See equivalence
Adequate equivalence relation
Equivalence relations on algebraic cycles; Equivalence relation of algebraic cycles; Algebraic equivalence; Numerical equivalence; Rational equivalence; Rationally equivalent
In algebraic geometry, a branch of mathematics, an adequate equivalence relation is an equivalence relation on algebraic cycles of smooth projective varieties used to obtain a well-working theory of such cycles, and in particular, well-defined intersection products. Pierre Samuel formalized the concept of an adequate equivalence relation in 1958.
partial equivalence relation
MATHEMATICAL CONCEPT FOR COMPARING OBJECTS
⇹; Partial relation; Draft:Partial equivalence; Draft:Restricted equivalence relation
(PER) A relation R on a set S where R is symmetric (x R y => y
R x) and transitive (x R y R z => x R z) and where there may
exist elements in S for which the relation is not defined. A
PER is an equivalence relation on the subset for which it is
defined, i.e. it is also reflexive (x R x).
Partial equivalence relation
MATHEMATICAL CONCEPT FOR COMPARING OBJECTS
⇹; Partial relation; Draft:Partial equivalence; Draft:Restricted equivalence relation
In mathematics, a partial equivalence relation (often abbreviated as PER, in older literature also called restricted equivalence relation) is a homogeneous binary relation that is symmetric and transitive. If the relation is also reflexive, then the relation is an equivalence relation.
Weak equivalence (homotopy theory)
MAP THAT INDUCES ISOMORPHISMS IN ALL HOMOTOPY GROUPS
Weak homotopy equivalence; Weak equivalence (mathematics)
In mathematics, a weak equivalence is a notion from homotopy theory that in some sense identifies objects that have the same "shape". This notion is formalized in the axiomatic definition of a model category.
Ricardian equivalence
ECONOMIC THEORY
Ricardian proposition; Ricardan equivalence hypothesis; Barro-Ricardo theorem; Barro-Ricardo equivalence; Ricardian Equivalence; Ricardan Equivalence Hypothesis; Ricardian theory of rent; Ricardian equivalence theorem; Barro–Ricardo equivalence; Barro–Ricardo equivalence theorem; Barro-Ricardo equivalence theorem
The Ricardian equivalence proposition (also known as the Ricardo–de Viti–Barro equivalence theorem) is an economic hypothesis holding that consumers are forward-looking and so internalize the government's budget constraint when making their consumption decisions. This leads to the result that, for a given pattern of government spending, the method of financing such spending does not affect agents' consumption decisions, and thus, it does not change aggregate demand.
Surface equivalence principle
Field equivalence principle; Surface equivalence theorem; Love equivalence principle; Schelkunoff equivalence principle
In electromagnetism, surface equivalence principle or surface equivalence theorem relates an arbitrary current distribution within an imaginary closed surface with an equivalent source on the surface. It is also known as field equivalence principle, Huygens' equivalence principle or simply as the equivalence principle.
Википедия
Equivalence relation
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in geometry is a common example of an equivalence relation.
Each equivalence relation provides a partition of the underlying set into disjoint equivalence classes. Two elements of the given set are equivalent to each other if and only if they belong to the same equivalence class.
