Look up congruence or ≅ in Wiktionary, the free dictionary. Congruence may refer to: Congruence (geometry), being the same size and shape In modular arithmetic...
In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector...
that is, if there is an integer k such that a − b = k m. Congruence modulo m is a congruence relation, meaning that it is an equivalence relation that...
where "T" denotes the matrix transpose. Matrix congruence is an equivalence relation. Matrix congruence arises when considering the effect of change of...
In mathematics, a congruence subgroup of a matrix group with integer entries is a subgroup defined by congruence conditions on the entries. A very simple...
(x{\bmod {n}}_{1},\ldots ,x{\bmod {n}}_{k})} maps congruence classes modulo N to sequences of congruence classes modulo ni. The proof of uniqueness shows...
Mood congruence is the consistency between a person's emotional state with the broader situations and circumstances being experienced by the persons at...
In geometry, the tests for congruence and similarity involve comparing corresponding sides and corresponding angles of polygons. In these tests, each side...
semigroup congruence ~ induces congruence classes [a]~ = {x ∈ S | x ~ a} and the semigroup operation induces a binary operation ∘ on the congruence classes:...
this congruence, which form a congruence class with respect to this modulus. Furthermore, any integer that is congruent to a (i.e., in a's congruence class)...
_{S}xt\ } for all x ∈ M {\displaystyle x\in M} . The syntactic congruence or Myhill congruence is defined as s ≡ S t ⇔ ( ∀ x , y ∈ M : x s y ∈ S ⇔ x...
In number theory, a congruence of squares is a congruence commonly used in integer factorization algorithms. Given a positive integer n, Fermat's factorization...
belief congruence suggests that our valuation of beliefs, subsystems or systems of beliefs and people is directly proportional to their congruence with...
In multivariate statistics, the congruence coefficient is an index of the similarity between factors that have been derived in a factor analysis. It was...
mathematics, a congruence is an equivalence relation on the integers. The following sections list important or interesting prime-related congruences. There are...
In algebra, the congruence ideal of a surjective ring homomorphism f : B → C of commutative rings is the image under f of the annihilator of the kernel...
The term congruence principle may refer to any undertaking that seeks to align apparently disparate things. Specifically, it may refer to: In economics...
retrieved, as reflected in two similar but subtly different effects: the mood congruence effect and mood-state dependent retrieval. Positive encoding contexts...
the following congruence condition holds: If this congruence does not hold, then n is not prime. If n is composite, then this congruence usually does not...
p and 2p are congruent numbers. It is also known that in each of the congruence classes 5, 6, 7 (mod 8), for any given k there are infinitely many square-free...
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