Examples of 'equivalence relation' in a sentence
Meaning of "equivalence relation"
In mathematics, an equivalence relation is a binary relation between elements of a set that satisfies certain properties. It is a fundamental concept in the field of algebra and discrete mathematics. An equivalence relation must be reflexive (an element is related to itself), symmetric (if element A is related to element B, then element B is related to element A), and transitive (if element A is related to element B, and element B is related to element C, then element A is related to element C). Equivalence relations are used to study and classify mathematical objects based on their properties and characteristics
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- A binary relation that is reflexive, symmetric and transitive.
How to use "equivalence relation" in a sentence
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equivalence relation
Equivalence relation and class separation of a set.
It is easily shown that this is an equivalence relation.
This equivalence relation is known as the kernel of f.
In this case the relation is an equivalence relation.
A partial equivalence relation is transitive and symmetric.
In particular being isogenous is an equivalence relation between tori.
A partial equivalence relation is a symmetric and transitive relation.
Suppose is a topological space and is an equivalence relation on.
Parallelism is an equivalence relation on the lines of an affine plane.
Coherence of foliated atlases is an equivalence relation.
Equality is both an equivalence relation and a partial order.
Equinumerosity has the characteristic properties of an equivalence relation.
Similarity is an equivalence relation on the space of square matrices.
This relation is in fact an equivalence relation.
Is an equivalence relation is a congruence relation.
See also
Let be a set and let be an equivalence relation on.
This defines an equivalence relation on the set of almost homomorphisms.
The identity relation is an equivalence relation.
This is an equivalence relation on characters.
These three properties make equality an equivalence relation.
Matrix equivalence is an equivalence relation on the space of rectangular matrices.
So we assume that is connected to is an equivalence relation.
Compatibility is the equivalence relation generated by orientation preserving diffeomorphisms.
It is not hard to establish that this is an equivalence relation.
To do this we first define an equivalence relation on pairs of timelike tangent vectors.
A spinor genus is an equivalence class for this equivalence relation.
This classification induces an equivalence relation on the space of closed forms in ΩkM.
We leave it to the reader to verify that this is an equivalence relation.
The relation of being homotopic is an equivalence relation on paths in a topological space.
The isomorphism relation on any set of groups is an equivalence relation.
Zeroth law as equivalence relation.
Such a function is a morphism of sets equipped with an equivalence relation.
An equivalence relation.
Divided out by the equivalence relation.
The scheme equivalence relation allows one to characterize encoding schemes in several ways.
Congruence of triangles is an equivalence relation in geometry.
A partial equivalence relation is a relation that is only symmetric and transitive without necessarily being reflexive.
Question about a particular equivalence relation.
The equivalence relation above then arises from the general theory of group actions.
Parapanamerican and the equivalence relation.
Equivalence relation Broader term to entry term one level up.
It follows from the properties of an equivalence relation that.
The role of equivalence relation and order in school Mathematics.
Know when a relation is an equivalence relation.
Wilf equivalence is an equivalence relation and its equivalence classes are called Wilf classes.
Equivalence of extensions is an equivalence relation.
This equivalence relation is a semigroup congruence, as defined above.
This relation is an equivalence relation.
R is an equivalence relation having 2 equivalence classes.
The affine concept of parallelism forms an equivalence relation on lines.
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Examples of using Equivalence
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Equivalence of an acquisition security right to a security right
Establishment of technical equivalence between active substances
Equivalence based on individual HAATs is not acceptable
Examples of using Relation
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The cost of energy in relation to other costs
In relation to this the following activities are suggested
Wood and substitutes in relation to other sectors
