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Equivalence relation in algebra
In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector
Congruence_relation
Computation modulo a fixed integer
integer k such that a − b = km. Congruence modulo m is a congruence relation, meaning that it is an equivalence relation compatible with addition, subtraction
Modular_arithmetic
Result of partitioning the elements of an algebraic structure using a congruence relation
using a congruence relation. Quotient algebras are also called factor algebras. Here, the congruence relation must be an equivalence relation that is
Quotient_(universal_algebra)
Mathematical concept for comparing objects
structure. In general, congruence relations play the role of kernels of homomorphisms, and the quotient of a structure by a congruence relation can be formed.
Equivalence_relation
Theorem in number theory
In number theory, the Eichler–Shimura congruence relation expresses the local L-function of a modular curve at a prime p in terms of the eigenvalues of
Eichler–Shimura congruence relation
Eichler–Shimura_congruence_relation
Topics referred to by the same term
being the same size and shape Congruence or congruence relation, in abstract algebra, an equivalence relation on an algebraic structure that is compatible
Congruence
Relation of degree three
In mathematics, a ternary relation or triadic relation is a finitary relation in which the number of places in the relation is three. Ternary relations
Ternary_relation
Basic notion of sameness in mathematics
as congruence in modular arithmetic or similarity in geometry. In abstract algebra, a congruence relation extends the idea of an equivalence relation to
Equality_(mathematics)
Math relation that is reflexive and symmetric
\operatorname {Tolr} (A)} under inclusion. Since every congruence relation is a tolerance relation, the congruence lattice Cong ( A ) {\displaystyle \operatorname
Tolerance_relation
Mathematical equivalence between matrices
eigenvalues of each sign is an invariant of the associated quadratic form. Congruence relation Matrix similarity Matrix equivalence Halmos, Paul R. (1958). Finite
Matrix_congruence
Relationship between two figures of the same shape and size, or mirroring each other
(an element of the Euclidean group E(n)) with f(A) = B. Congruence is an equivalence relation. Two conic sections are congruent if their eccentricities
Congruence_(geometry)
Axiom set used in first-order logic
(This relation is interpreted inclusively, so that Bxyz is trivially true whenever x=y or y=z.) Congruence (or "equidistance"), a tetradic relation. The
Tarski's_axioms
Congruence used in integer factorization algorithms
In number theory, a congruence of squares is a congruence commonly used in integer factorization algorithms. Given a positive integer n, Fermat's factorization
Congruence_of_squares
Group obtained by aggregating similar elements of a larger group
that operates on each such class (known as a congruence class) as a single entity. For a congruence relation on a group, the equivalence class of the identity
Quotient_group
Relationship between elements of two sets
In mathematics, a binary relation associates some elements of one set called the domain with some elements of another set (possibly the same) called the
Binary_relation
Elements taken to zero by a homomorphism
whether a homomorphism is injective. In these cases, the kernel is a congruence relation. Kernels allow defining quotient objects (also called quotient algebras
Kernel_(algebra)
Smallest monoid that recognizes a formal language
{\displaystyle S} such that the syntactic congruence defined by S {\displaystyle S} is the equality relation. Let us call [ s ] S {\displaystyle [s]_{S}}
Syntactic_monoid
Composite number in number theory
satisfies the congruence relation: b n ≡ b ( mod n ) {\displaystyle b^{n}\equiv b{\pmod {n}}} for all integers b {\displaystyle b} . The relation may also
Carmichael_number
Mathematical symbol of equality
U+225D ≝ EQUAL TO BY DEFINITION or U+2254 ≔ COLON EQUALS), or a congruence relation in modular arithmetic. Also, in chemistry, the triple bar can be
Equals_sign
Concept in mathematical logic
quotient algebra obtained by factoring the algebra of formulas by this congruence relation. The algebra is named for logicians Adolf Lindenbaum and Alfred Tarski
Lindenbaum–Tarski_algebra
Concept in modular arithmetic
multiplication defined in the next section. The congruence relation, modulo m, partitions the set of integers into m congruence classes. Operations of addition and
Modular multiplicative inverse
Modular_multiplicative_inverse
About simultaneous modular congruences
small integers. The Chinese remainder theorem (expressed in terms of congruences) is true over every principal ideal domain. It has been generalized to
Chinese_remainder_theorem
Something roughly the same as something else
approximation – Approximation of powers of some binomials Congruence relation – Equivalence relation in algebra Double tilde (disambiguation) – Various meanings
Approximation
Number theory theorem
For non-negative integers m and n and a prime p, the following congruence relation holds: ( m n ) ≡ ∏ i = 0 k ( m i n i ) ( mod p ) , {\displaystyle
Lucas's_theorem
Mathematical-logic system based on functions
M\equiv _{\alpha }\lambda y.M[x:=y]} . The equivalence relation is the smallest congruence relation on lambda terms generated by this rule. For instance
Lambda_calculus
Quotient of two integers
(m_{2},n_{2})\equiv (m_{1}m_{2},n_{1}n_{2}).} This equivalence relation is a congruence relation, which means that it is compatible with the addition and multiplication
Rational_number
theory, a congruence is an equivalence relation on the integers. The following sections list important or interesting prime-related congruences. There are
Table_of_congruences
A prime p divides a^p–a for any integer a
that ad ≡ 1 (mod p) holds trivially for a ≡ 1 (mod p), because the congruence relation is compatible with exponentiation. And ad = a20d ≡ −1 (mod p) holds
Fermat's_little_theorem
Algebraic structure
{\displaystyle S} . Like any equivalence relation, a semigroup congruence ∼ {\displaystyle \sim } induces congruence classes [ a ] = { x ∈ S ∣ x ∼ a } {\displaystyle
Semigroup
Category whose objects are rings and whose morphisms are ring homomorphisms
just the pullback of f with itself) is a congruence relation on R. The ideal determined by this congruence relation is precisely the (ring-theoretic) kernel
Category_of_rings
Submodule of a mathematical ring
Then ∼ {\displaystyle \sim } is a congruence relation on R {\displaystyle R} . Conversely, given a congruence relation ∼ {\displaystyle \sim } on R
Ideal_(ring_theory)
Structure-preserving map between two algebraic structures of the same type
{\displaystyle f(a)=f(b)} . The relation ∼ {\displaystyle \sim } is called the kernel of f {\displaystyle f} . It is a congruence relation on X {\displaystyle X}
Homomorphism
Two numbers without shared prime factors
remainder theorem); in fact the solutions are described by a single congruence relation modulo ab. The least common multiple of a and b is equal to their
Coprime_integers
German mathematician
on 16 March 1883, he delivered a short account of his congruence relation (Zeller's congruence), which was published in the society's journal. He was
Christian_Zeller
Type theory created by Thierry Coquand
B)N=_{\beta }B(x:=N)} β {\displaystyle \beta } -equivalence is a congruence relation for the calculus of constructions, in the sense that If A = β B {\displaystyle
Calculus_of_constructions
Algebra where division is always defined
be a multiplicative submonoid of A {\displaystyle A} . Define the congruence relation ∼ S {\displaystyle \sim _{S}} on A × A {\displaystyle A\times A}
Wheel_theory
Subgroup invariant under conjugation
group G / N {\displaystyle G/N} mentioned above.) There is some congruence relation on G {\displaystyle G} for which the equivalence class of the identity
Normal_subgroup
Area of a right triangle with rational-numbered sides
congruent number and noted that 1 is not. The first accepted proof of the non-congruence of 1 was later given by Pierre de Fermat, who also proved that 2 and 3
Congruent_number
Origin and evolution of the symbols used to write equations and formulas
19th century, Carl Friedrich Gauss developed the identity sign for congruence relation and, in quadratic reciprocity, the integral part. Gauss developed
History of mathematical notation
History_of_mathematical_notation
Operation on the subsets of a set
smallest relation on A {\displaystyle A} that contains R {\displaystyle R} and is closed under this partial binary operation. A preorder is a relation that
Closure_(mathematics)
Algorithm checking for prime numbers
n} , n {\displaystyle n} is prime if and only if the polynomial congruence relation holds within the polynomial ring ( Z / n Z ) [ X ] {\displaystyle
AKS_primality_test
Cognitive bias about one's own skill
definitions focus on the tendency to overestimate one's ability and see the relation to metacognition as a possible explanation that is not part of the definition
Dunning–Kruger_effect
Type of quotient object in mathematics
categorical setting. Let C {\displaystyle \mathbf {C} } be a category. A congruence relation R {\displaystyle {\mathcal {R}}} on C {\displaystyle \mathbf {C}
Quotient_category
Complex number whose real and imaginary parts are both integers
denoted as z1 ≡ z2 (mod z0). The congruence modulo z0 is an equivalence relation (also called a congruence relation), which defines a partition of the
Gaussian_integer
Equivalence relation expressing that two elements have the same image under a function
homomorphism, then ker f {\displaystyle \ker f} is a congruence relation (that is an equivalence relation that is compatible with the algebraic structure)
Kernel_(set_theory)
Overview of and topical guide to logic
relations Congruence relation Connected relation Converse relation Coreflexive relation Covering relation Cyclic order Dense relation Dependence relation Dependency
Outline_of_logic
Linear operator acting on modular forms
harmonic analysis of modular forms and generalisations. Eichler–Shimura congruence relation Hecke algebra Abstract algebra Wiles's proof of Fermat's Last Theorem
Hecke_operator
Mathematical concept
arithmetic, for every integer m greater than 1, the congruence modulo m is an equivalence relation on the integers, for which two integers a and b are
Equivalence_class
Set of integral curves of a vector field
In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four-dimensional
Congruence (general relativity)
Congruence_(general_relativity)
Critical factors contributing to the emotional enhancement effect on human memory
retrieved, as reflected in two similar but subtly different effects: the mood congruence effect and mood-state dependent retrieval. Positive encoding contexts
Emotion_and_memory
Theories in mathematical logic
have a ternary "betweenness" relation for 3 points, which says whether one lies between two others, or a "congruence" relation between 2 pairs of points
List_of_first-order_theories
Reduction of a ring by one of its ideals
it is not difficult to check that ∼ {\displaystyle \sim } is a congruence relation. In case a ∼ b {\displaystyle a\sim b} , we say that a {\displaystyle
Quotient_ring
1794 in his Institutionum calculi integralis. ≡ identity sign (for congruence relation) 1801 Carl Friedrich Gauss First appearance in print, used previously
Table of mathematical symbols by introduction date
Table_of_mathematical_symbols_by_introduction_date
Probabilistic primality test
that the above congruence holds trivially for a ≡ 1 ( mod p ) {\displaystyle a\equiv 1{\pmod {p}}} , because the congruence relation is compatible with
Fermat_primality_test
Relation between transition systems in computer science
reduction to the coarsest partition problem. Simulation preorder Congruence relation Probabilistic bisimulation Notes Meaning the union of two bisimulations
Bisimulation
Special type of prime number
stronger version of Wolstenholme's theorem. Wolstenholme's theorem is a congruence relation satisfied by all prime numbers greater than 3. Wolstenholme primes
Wolstenholme_prime
Japanese mathematician (1930–2019)
generalized the initial work of Martin Eichler on the Eichler–Shimura congruence relation between the local L-function of a modular curve and the eigenvalues
Goro_Shimura
Surname list
1930–2019), Japanese mathematician Shimura correspondence Eichler–Shimura congruence relation Shimura variety Hitomi Shimura (紫村 仁美; born 1990), Japanese hurdler
Shimura
Branch of mathematics that studies algebraic structures
Algebraic structure Universal algebra Variety (universal algebra) Congruence relation Free object Generating set (universal algebra) Clone (algebra) Kernel
List of abstract algebra topics
List_of_abstract_algebra_topics
Word with multiple distinct meanings
general precise definition is simply in terms of an equivalence (or congruence) relation R, where a is equivalent (or congruent) to b modulo R if aRb. Gauss
Modulo_(mathematics)
Number of partitions of an integer
nontrivial patterns in modular arithmetic, now known as Ramanujan's congruences. For instance, whenever the decimal representation of n ends in the digit
Partition function (number theory)
Partition_function_(number_theory)
(which is a subalgebra of B). The connection between this and the congruence relation for more general types of algebras is as follows. First, the kernel-as-an-ideal
Malcev_algebra
Type of Gödel numbering in mathematics
divisibility relation, p ∣ i − j → p ∣ m {\displaystyle p\mid i-j\rightarrow p\mid m} . Thus (as equality axioms postulate identity to be a congruence relation )
Gödel_numbering_for_sequences
Probabilistic primality test
that ad ≡ 1 (mod n) holds trivially for a ≡ 1 (mod n), because the congruence relation is compatible with exponentiation. And ad = a20d ≡ −1 (mod n) holds
Miller–Rabin_primality_test
Structure in group theory (in mathematics)
semigroup. Congruences are defined on inverse semigroups in exactly the same way as for any other semigroup: a congruence ρ is an equivalence relation that
Inverse_semigroup
((P\to Q)\land P)\to Q} , called pseudo modus ponens. congruence relation An equivalence relation that respects the operations of the algebraic structure
Glossary_of_logic
Theorem on polygon dissections
Scissors-congruence is an equivalence relation. In this case the Wallace–Bolyai–Gerwien theorem states that the equivalence classes of this relation contain
Wallace–Bolyai–Gerwien theorem
Wallace–Bolyai–Gerwien_theorem
Index of articles associated with the same name
nontrivial ideals, or equivalently, if Green's relation J is the universal relation. Not every congruence on a semigroup is associated with an ideal, so
Simple_(abstract_algebra)
Type of binary relation
A symmetric relation is a type of binary relation. Formally, a binary relation R {\displaystyle R} on a set X {\displaystyle X} is symmetric if: for all
Symmetric_relation
Set of residue classes modulo n, relatively prime to n
residue system modulo n. Multiplicative group of integers modulo n Congruence relation Euler's totient function Greatest common divisor Modular arithmetic
Reduced_residue_system
Mathematical concept
Langlands program. The prototypical theorem, the Eichler–Shimura congruence relation, implies that the Hasse–Weil zeta function of a modular curve is
Shimura_variety
Bilinear operator Binary operation Commutative Congruence relation Equivalence class Equivalence relation Lattice (group) Lattice (discrete subgroup) Multiplication
List_of_group_theory_topics
Group of mathematical theorems
subgroups need to be replaced by congruence relations. A congruence on an algebra A {\displaystyle A} is an equivalence relation Φ ⊆ A × A {\displaystyle \Phi
Isomorphism_theorems
or congruence relation. ↾ f↾X once denoted the corestriction of a relation, or mapping, but in modern mathematics is the restriction of a relation, or
Glossary_of_set_theory
Geometric surface
in the family. A focal surface of the line congruence is a surface that is tangent to the line congruence. At each point on the surface, det ( ∂ u X
Pseudosphere
Strong, deep, or close association or acquaintance between two or more people
In social psychology, an interpersonal relation (or interpersonal relationship) describes a social association, connection, or affiliation between two
Interpersonal_relationship
Generalization of strings in computer science
concatenation, and ≡ D {\displaystyle \equiv _{D}} is therefore a congruence relation on Σ ∗ . {\displaystyle \Sigma ^{*}.} The trace monoid, commonly
Trace_monoid
given as a (finite) binary relation R on Σ∗. To form the quotient monoid, these relations are extended to monoid congruences as follows: First, one takes
Presentation_of_a_monoid
Graphical representation of a morphism
categories) whenever they are in the same equivalence class of the congruence relation generated by the interchanger: d ⊗ dom ( d ′ ) ∘ cod ( d ) ⊗
String_diagram
Result in number theory
mathematics, Wolstenholme's theorem states that for a prime number p ≥ 5, the congruence ( 2 p − 1 p − 1 ) ≡ 1 ( mod p 3 ) {\displaystyle {2p-1 \choose p-1}\equiv
Wolstenholme's_theorem
Modern formulation of Euclid's parallel postulate
respects Hilbert's axioms of incidence, order, and congruence, except for the Side-Angle-Side (SAS) congruence. This geometry models the classical Playfair's
Playfair's_axiom
Topics referred to by the same term
show an approximate value, ≅ a symbol sometimes used to show geometric congruence Ξ, capital letter Xi of the Greek alphabet 三, Chinese numeral for the
≡
Orientation-preserving mapping class group of the torus
no relation on T), and it thus maps onto all triangle groups (2, 3, n) by adding the relation Tn = 1, which occurs for instance in the congruence subgroup
Modular_group
Semigroup in abstract algebra
the congruence { ( y y † , ε ) : y ∈ Y } {\displaystyle \{(yy^{\dagger },\varepsilon ):y\in Y\}} , which is sometimes called the Dyck congruence—in a
Semigroup_with_involution
String rewriting system
notions), is a congruence, meaning it is an equivalence relation (by definition) and it is also compatible with string concatenation. The relation ↔ R ∗ {\displaystyle
Semi-Thue_system
Theory that truth means correspondence with reality
of being on it. If any of the three pieces (the cat, the mat, and the relation between them which correspond respectively to the subject, object, and
Correspondence theory of truth
Correspondence_theory_of_truth
Algorithm for generating pseudo-randomized numbers
Digital Calculating Machinery: 141–146. Thomson, W. E. (1958). "A Modified Congruence Method of Generating Pseudo-random Numbers". The Computer Journal. 1 (2):
Linear_congruential_generator
Process calculus
commutative and associative. More precisely, structural congruence is defined as the least equivalence relation preserved by the process constructs and satisfying:
Π-calculus
Count of permutations by cycles
both Mathematica and Sage here and here, respectively. The following congruence identity may be proved via a generating function-based approach: [ n m
Stirling numbers of the first kind
Stirling_numbers_of_the_first_kind
Causal relationships between points in a manifold
J^{-}[S]=J^{-}[J^{-}[S]]} The horismos is generated by null geodesic congruences. Topological properties: I ± ( x ) {\displaystyle I^{\pm }(x)} is open
Causal_structure
Mathematical concept for comparing objects
algebraic notion of congruence can also be generalized to partial equivalences, yielding the notion of subcongruence, i.e. a homomorphic relation that is symmetric
Partial_equivalence_relation
this binary relation is a congruence relation on the formula algebra and, in fact, may alternatively be characterized as the largest congruence on the formula
Leibniz_operator
Field extension of the rational numbers by a primitive root of unity
introduced the concept of an ideal number and proved his celebrated congruences. For n ≥ 1 {\displaystyle n\geq 1} , let ζ n = e 2 π i / n ∈ C . {\displaystyle
Cyclotomic_field
Horizontal line immediately above a portion of writing
| x ^ {\displaystyle {\overline {x}}=|x|{\hat {x}}} Congruence modulo n is an equivalence relation, and the equivalence class of the integer a, denoted
Overline
Form of an object
shape. There are multiple ways to compare the shapes of two objects: Congruence: Two objects are congruent if one can be transformed into the other by
Shape
Mathematics taught in primary and secondary school
several variables called unknowns, and "=" denotes the equality binary relation. Although written in the form of proposition, an equation is not a statement
Elementary_mathematics
Algebraic variety
constructed as a quotient of the complex upper half-plane H by the action of a congruence subgroup Γ of the modular group of integral 2×2 matrices SL(2, Z). The
Modular_curve
x ≤ y }; The binary relation Θx on L defined by y Θx z if x ∨ y = x ∨ z is a congruence relation, that is, an equivalence relation compatible with ∧ and
Distributivity_(order_theory)
Replacing subterm in a formula with another term
}}}} , is a congruence, meaning it is an equivalence relation (by definition) and it is also compatible with string concatenation. The relation ↔ R ∗ {\displaystyle
Rewriting
Natural number
Retrieved 2023-01-09. Jardine, Kevin. "Shield - a 3.7.42 tiling". Imperfect Congruence. Retrieved 2023-01-09. 3.7.42 as a unit facet in an irregular tiling.
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CONGRUENCE RELATION
CONGRUENCE RELATION
Surname or Lastname
English
English : variant of Feather.North German, Dutch, and Danish : from the Frisian personal name Vetter, meaning ‘relative’. Relationship terms were commonly used as personal names in Friesland.
Boy/Male
Tamil
Sarvabandha | ஸரà¯à®µà®ªà®‚தா
Vimoktre detacher of all relationship
Sarvabandha | ஸரà¯à®µà®ªà®‚தா
Girl/Female
Indian
Who loves friends & family members, Friendship, Relationship
Girl/Female
Tamil
Who loves friends & family members, Friendship, Relationship
Boy/Male
Muslim
Of Husain, Nisba relation
Boy/Male
Hindu
Confluence of Ganga Jamuna Saraswati
Girl/Female
Tamil
Triveni | தà¯à®°à®¿à®µà¯‡à®£à¯€
Confluence of three sacred rivers
Triveni | தà¯à®°à®¿à®µà¯‡à®£à¯€
Surname or Lastname
English
English : from the Middle English personal name Hick + Middle English maugh, mough ‘relative’ (from Old Norse mágr or Old English magu). The exact nature of the relationship is not clear; the Middle English word meant ‘relative by marriage’, but was also used occasionally of a female blood relation.
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Confluence of Three Sacred River Ganga, Yamuna and Saraswati
Girl/Female
Indian
Who loves friends & family members, Friendship, Relationship
Girl/Female
Muslim
Relation, Way, Sake
Boy/Male
Indian, Modern
The Confluence of Three Rivers; Great Hunter
Boy/Male
Bengali, Gujarati, Hindu, Indian, Sanskrit
Union; Noble; Confluence
Boy/Male
Tamil
Relation
Boy/Male
Indian
Of Husain, Nisba relation
Girl/Female
Tamil
Bhandhavi | பாநà¯à®¤à®µà¯€
Who loves friends & family members, Friendship, Relationship
Bhandhavi | பாநà¯à®¤à®µà¯€
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Confluence of Three Sacred Rivers
Surname or Lastname
English
English : variant spelling of Messenger.German and Jewish (Ashkenazic) : occupational name for a brazier, from an agent derivative of Middle High German messinc ‘brass’, German Messing, from Greek mossynoikos (khalkos) ‘Mossynoecan bronze’, named after the people of northeastern Asia Minor who first produced the alloy.German : habitational name from Mössingen in Baden-Württemberg (Messingen in the local dialect), which is recorded as Masginga in 789, probably from the personal name Masco + ingen, suffix of relationship.
Boy/Male
Tamil
Confluence of Ganga Jamuna Saraswati
Boy/Male
Tamil
Jasevaraj | ஜஸேவாராஜ
Heart of relation
CONGRUENCE RELATION
CONGRUENCE RELATION
Girl/Female
Hindu, Indian, Tamil
Goddess Parvathi
Boy/Male
Hindu
Lord Buddha
Boy/Male
Hindu, Indian, Sanskrit
Conqueror of the Heart
Boy/Male
Tamil
Boy/Male
Tamil
Vanajaksh | வாநாஜகà¯à®·
Lotus eyed
Boy/Male
British, English
From the Loud Meadow
Girl/Female
Irish
Bard.
Girl/Female
Indian, Punjabi, Sikh
Power of Supreme Wonder
Boy/Male
Greek, Hindu, Indian
Goddess of Victory
Boy/Male
Muslim
Rise. Mount.
CONGRUENCE RELATION
CONGRUENCE RELATION
CONGRUENCE RELATION
CONGRUENCE RELATION
CONGRUENCE RELATION
a.
Indicating or specifying some relation.
n.
A moving, flowing, or running together; confluence.
n.
The carrying back, and giving effect or operation to, an act or proceeding frrom some previous date or time, by a sort of fiction, as if it had happened or begun at that time. In such case the act is said to take effect by relation.
n.
A concurence or general tendency, as of circumstances, to one event, as if by agreement.
n.
Connection by consanguinity or affinity; kinship; relationship; as, the relation of parents and children.
n.
A particular mode of inflecting or conjugating verbs, or a particular form of a verb, by means of which is indicated the relation of the subject of the verb to the action which the verb expresses.
n.
The act of flowing together; the meeting or junction of two or more streams; the place of meeting.
a.
Possessing congruity; suitable; agreeing; corresponding.
n.
A relative; a relation.
n.
Reduction to congruence or consistency; removal of inconsistency; harmony.
a.
Having relation or kindred; related.
prep.
Violent confluence.
v. i.
To make a visit or visits; to maintain visiting relations; to practice calling on others.
n.
The state of being related or of referring; what is apprehended as appertaining to a being or quality, by considering it in its bearing upon something else; relative quality or condition; the being such and such with regard or respect to some other thing; connection; as, the relation of experience to knowledge; the relation of master to servant.
n.
Corresponding relation.
n.
The act of relating or telling; also, that which is related; recital; account; narration; narrative; as, the relation of historical events.
n.
Any running together of separate streams or currents; the act of meeting and crowding in a place; hence, a crowd; a concourse; an assemblage.
n.
Suitableness of one thing to another; agreement; consistency.
n.
Congruence.
n.
Want of congruence; incongruity.