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Что (кто) такое partial equivalence relation - определение
MATHEMATICAL CONCEPT FOR COMPARING OBJECTS
⇹; Partial relation; Draft:Partial equivalence; Draft:Restricted equivalence relation
Найдено результатов: 1105
partial 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
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.
Finitary relation
PROPERTY THAT ASSIGNS TRUTH VALUES TO K-TUPLES OF INDIVIDUALS
Unary relation; N-ary relation; Nary relation; Kary relation; Dyadic Relation; Polyadic relation; Theory of relations; N-ary relations; Relation (logic); Quaternary relation; Subrelation
In mathematics, a finitary relation over sets is a subset of the Cartesian product ; that is, it is a set of n-tuples consisting of elements xi in Xi. Typically, the relation describes a possible connection between the elements of an n-tuple.
partial function
BINARY RELATION WHOSE ACTUAL DOMAIN MAY BE SMALLER THAN ITS APPARENT DOMAIN
Total function; Domain of definition; Partial mapping; Limited function; Limited function (mathematics); Partial functions; Partial Function; Total functions; ⇸; Natural domain; Domain of a partial function; Total Function; Partially-defined map; Partially defined map; Partial and total functions; Partial map
A function which is not defined for all arguments of its input
type. E.g.
f(x) = 1/x if x /= 0.
The opposite of a total function. In {denotational
semantics}, a partial function
f : D -> C
may be represented as a total function
ft : D' -> lift(C)
where D' is a superset of D and
ft x = f x if x in D
ft x = bottom otherwise
where lift(C) = C U bottom. Bottom (LaTeX perp)
denotes "undefined".
(1995-02-03)
total function
BINARY RELATION WHOSE ACTUAL DOMAIN MAY BE SMALLER THAN ITS APPARENT DOMAIN
Total function; Domain of definition; Partial mapping; Limited function; Limited function (mathematics); Partial functions; Partial Function; Total functions; ⇸; Natural domain; Domain of a partial function; Total Function; Partially-defined map; Partially defined map; Partial and total functions; Partial map
<mathematics> A function which is defined for all arguments
of the appropriate type. The opposite is a {partial
function}.
(1997-01-10)
Partial function
BINARY RELATION WHOSE ACTUAL DOMAIN MAY BE SMALLER THAN ITS APPARENT DOMAIN
Total function; Domain of definition; Partial mapping; Limited function; Limited function (mathematics); Partial functions; Partial Function; Total functions; ⇸; Natural domain; Domain of a partial function; Total Function; Partially-defined map; Partially defined map; Partial and total functions; Partial map
In mathematics, a partial function from a set to a set is a function from a subset of (possibly itself) to . The subset , that is, the domain of viewed as a function, is called the domain of definition of .
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.
False relation
TYPE OF DISSONANCE IN POLYPHONIC MUSIC
Cross-relation; Cross relation; Non-harmonic relation
A false relation (also known as cross-relation, non-harmonic relation) is the name of a type of dissonance that sometimes occurs in polyphonic music, most commonly in vocal music of the Renaissance.
Quotient by an equivalence relation
Draft:Quotient by an equivalence relation
In mathematics, given a category C, a quotient of an object X by an equivalence relation f: R \to X \times X is a coequalizer for the pair of maps
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.
Википедия
Partial 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.
