partial equivalence relation (often abbreviated as PER, in older literature also called restricted equivalence relation) is a homogeneous binary relation that... 7 KB (1,138 words) - 17:37, 16 March 2024 |
algebraic geometry, a branch of mathematics, an adequate equivalence relation is an equivalence relation on algebraic cycles of smooth projective varieties... 7 KB (577 words) - 10:22, 12 February 2024 |
In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector... 12 KB (1,704 words) - 02:25, 29 November 2023 |
to c, then R also relates a to c. Every partial order and every equivalence relation is transitive. For example, inequality and equality among real numbers... 17 KB (2,073 words) - 17:37, 9 March 2024 |
areas of mathematics, a hyperfinite equivalence relation on a standard Borel space X is a Borel equivalence relation E with countable classes, that can... 12 KB (1,659 words) - 12:41, 5 January 2024 |
a ternary equivalence relation is a kind of ternary relation analogous to a binary equivalence relation. A ternary equivalence relation is symmetric... 4 KB (399 words) - 23:39, 18 January 2024 |
one subset. Every equivalence relation on a set defines a partition of this set, and every partition defines an equivalence relation. A set equipped with... 14 KB (1,881 words) - 06:44, 14 April 2024 |
In mathematics, a Borel equivalence relation on a Polish space X is an equivalence relation on X that is a Borel subset of X × X (in the product topology)... 3 KB (317 words) - 07:52, 2 December 2023 |
reflexivity is one of three properties defining equivalence relations. Let R {\displaystyle R} be a binary relation on a set X , {\displaystyle X,} which by... 10 KB (1,390 words) - 20:58, 31 March 2024 |
reflexivity and transitivity, are the three defining properties of an equivalence relation. "is equal to" (equality) (whereas "is less than" is not symmetric)... 4 KB (383 words) - 10:58, 31 March 2024 |
Set theory (music) (redirect from Equivalence relation (music)) index number n is written In = n - x mod 12. "For a relation in set S to be an equivalence relation [in algebra], it has to satisfy three conditions: it... 21 KB (2,620 words) - 11:20, 16 December 2023 |
strict chain, is a relation that is irreflexive, antisymmetric, transitive and connected. A partial equivalence relation is a relation that is symmetric... 22 KB (2,177 words) - 10:44, 12 February 2024 |
mathematics, given a category C, a quotient of an object X by an equivalence relation f : R → X × X {\displaystyle f:R\to X\times X} is a coequalizer for... 2 KB (353 words) - 18:48, 28 November 2023 |
called "equal up to an equivalence relation R" if a and b are related by R, that is, if aRb holds, that is, if the equivalence classes of a and b with... 6 KB (814 words) - 10:22, 8 February 2024 |
transitive relation over X containing R, Equivalence closure the smallest equivalence relation over X containing R. In mathematics, a heterogeneous relation is... 61 KB (8,126 words) - 06:30, 23 April 2024 |
The fundamental concept of ECP comes from equivalence class which in turn comes from equivalence relation. A software system is in effect a computable... 8 KB (1,257 words) - 13:23, 30 July 2023 |
In mathematics, a binary relation R {\displaystyle R} on a set X {\displaystyle X} is antisymmetric if there is no pair of distinct elements of X {\displaystyle... 4 KB (589 words) - 16:30, 24 January 2024 |
Groupoid (section Equivalence relation) g:A\rightarrow C} . Special cases include: Setoids: sets that come with an equivalence relation, G-sets: sets equipped with an action of a group G {\displaystyle... 38 KB (6,200 words) - 18:20, 27 March 2024 |
Biconnected component (section Equivalence relation) through e and g. Therefore, this is an equivalence relation, and it can be used to partition the edges into equivalence classes, subsets of edges with the... 12 KB (1,363 words) - 15:20, 12 August 2023 |
Nida formulated the distinction originally in relation to Bible translations. The "Formal-equivalence" approach emphasizes fidelity to the lexical details... 12 KB (1,383 words) - 17:03, 21 February 2024 |
Setoid (category Equivalence (mathematics)) mathematics, a setoid (X, ~) is a set (or type) X equipped with an equivalence relation ~. A setoid may also be called E-set, Bishop set, or extensional... 5 KB (538 words) - 19:53, 12 November 2023 |
as described by the energy–momentum relation, were later developed by other physicists. Mass–energy equivalence states that all objects having mass,... 94 KB (12,126 words) - 23:34, 14 April 2024 |