relation of equivalence
61Mass–energy equivalence — E=MC2 redirects here. For other uses, see E=MC2 (disambiguation). 4 meter tall sculpture of Einstein s 1905 E = mc2 formula at the 2006 Walk of Ideas, Berlin, Germany In physics, mass–energy equivalence is the concept that the …
62Partial equivalence relation — In mathematics, a partial equivalence relation (often abbreviated as PER) R on a set X is a relation which is symmetric and transitive . In other words, it holds for all a, b and c in X that:# (Symmetry) if a R b then b R a # (Transitivity) if a… …
63Transitive relation — In mathematics, a binary relation R over a set X is transitive if whenever an element a is related to an element b , and b is in turn related to an element c , then a is also related to c . Transitivity is a key property of both partial order… …
64K-equivalence — In mathematics, equivalence, or contact equivalence, is an equivalence relation between map germs. It was introduced by John Mather in his seminal work in Singularity theory in the 1970s as a technical tool for studying stable maps. Since then it …
65Finitary relation — This article sets out the set theoretic notion of relation. For a more elementary point of view, see Binary relation. For a combinatorial viewpoint, see Theory of relations. For other uses, see Relation (disambiguation). In set theory and logic,… …
66Apartness relation — In constructive mathematics, an apartness relation is a constructive form of inequality, and is often taken to be more basic than equality. It is often written as # to distinguish from the so called denial inequality , e, which is weaker. An… …
67Dependency relation — In mathematics and computer science, a dependency relation is a binary relation that is finite, symmetric, and reflexive; i.e. a finite tolerance relation. That is, it is a finite set of ordered pairs D, such that If then (symmetric) If a is an… …
68Borel equivalence relation — In mathematics, a Borel equivalence relation on a Polish space X is an equivalence relation on X that is a Borel subset of X times; X (in the product topology).Given Borel equivalence relations E and F on Polish spaces X and Y respectively, one… …
69Cartan's equivalence method — In mathematics, Cartan s equivalence method is a technique in differential geometry for determining whether two geometrical structures are the same up to a diffeomorphism. For example, if M and N are two Riemannian manifolds with metrics g and h …
70Euclidean relation — In mathematics, a binary relation R over a set X is euclidean if it holds for all a , b , and c in X , that if a is related to b and a is related to c , then b is related to c . This is different from the transitive property. However, if a… …
