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Topics referred to by the same term
Functional relation may refer to A binary relation that is the graph of a function or a partial function An alternative name for a functional equation
Functional_relation
Relationship between two sets, defined by a set of ordered pairs
Gasteren 1990, p. 45. "Functional relation - Encyclopedia of Mathematics". encyclopediaofmath.org. Retrieved 2024-06-13. "functional relation in nLab". ncatlab
Relation_(mathematics)
Relationship between elements of two sets
functional. For example, the blue binary relation in the diagram is one-to-many, but the red, green and black ones are not. Many-to-one: functional and
Binary_relation
Association of one output to each input
R\land (x,z)\in R\implies y=z\qquad } A relation satisfying these conditions is called a functional relation. The more usual terminology and notation
Function_(mathematics)
{\displaystyle f} is a functional relation from X {\displaystyle X} to Y {\displaystyle Y} and g {\displaystyle g} is a functional relation from Y {\displaystyle
Effective_topos
Relational database theory concept
dependent set). A functional dependency between a determinant set X and a dependent set Y can be described as follows: Given a relation R and attribute
Functional_dependency
Topics referred to by the same term
Williams Grammatical relation, a functional relationship between constituents in a clause. Relate (disambiguation) Relationism (disambiguation) Relationship
Relation
Domain of a genome with high gene expression
within operons share a common promoter unit. These genes are mostly functionally related. The genome of prokaryotes is relatively very simple and compact
Ridge_(biology)
Attempt to gain insight into a question or situation through magic or the supernatural
Particular divination methods vary by culture and religion. In its functional relation to magic in general, divination can have a preliminary and investigative
Divination
Equation whose unknown is a function
and, in this case, a functional equation (in the narrower meaning) is called a recurrence relation. Thus the term functional equation is used mainly
Functional_equation
Topics referred to by the same term
science), "functional" is a property or relation that can only hold a single value for a given individual All pages with titles containing Functional Function
Functional
Programming paradigm based on applying and composing functions
In computer science, functional programming is a programming paradigm where programs are constructed by applying and composing functions. It is a declarative
Functional_programming
Electronic method of transmitting information with a carrier wave
between the frequency of the carrier and its center frequency, has a functional relation to the modulating signal amplitude. Digital data can be encoded and
Frequency_modulation
About mathematical functions
is in the given relation with x, and the function is said to be determined by the given functional relation. Two equivalent functional relations determine
History of the function concept
History_of_the_function_concept
Reasoning about comparative relationships
{\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}} If a student understands the functional relation between the variables, then he/she should be able to answer the following
Proportional_reasoning
Model for approximating non-linear effects, similar to a Taylor series
time-invariant functional relation is often justified by appealing to a theorem due to Fréchet. This theorem states that a time-invariant functional relation (satisfying
Volterra_series
Level of database normalization
rephrase Zaniolo's definition more simply, the relation is in 3NF if and only if for every non-trivial functional dependency X → Y, X is a superkey or Y \ X
Third_normal_form
Type of requirement in systems engineering
In systems engineering and requirements engineering, a non-functional requirement (NFR) is a requirement that specifies criteria that can be used to judge
Non-functional_requirement
Computational quantum mechanical modelling method to investigate electronic structure
Density functional theory (DFT) is a computational quantum mechanical modeling method used in physics, chemistry and materials science to investigate the
Density_functional_theory
Branch of functional analysis
In functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative
Borel_functional_calculus
Part of the neuroendocrine system
Hoermann R, Larisch R, Dietrich JW (2013). "Physiological states and functional relation between thyrotropin and free thyroxine in thyroid health and disease:
Hypothalamic–pituitary–thyroid axis
Hypothalamic–pituitary–thyroid_axis
system identification. In this context, the series approximates the functional relation of the output to the entire history of system input at any time.
Wiener_series
Mathematical concept for comparing objects
a generalisation of the definition of functional composition. The defining properties of an equivalence relation R {\displaystyle R} on a set X {\displaystyle
Equivalence_relation
Grammar framework in theoretical linguistics
Lexical functional grammar (LFG) is a constraint-based grammar framework in theoretical linguistics. It posits several parallel levels of syntactic structure
Lexical_functional_grammar
Property that assigns truth values to k-tuples of individuals
relation is called the arity, adicity or degree of the relation. A relation with n "places" is variously called an n-ary relation, an n-adic relation
Finitary_relation
Set whose elements all belong to another set
true of every set A that A ⊂ A . {\displaystyle A\subset A.} (a reflexive relation). Other authors prefer to use the symbols ⊂ {\displaystyle \subset } and
Subset
Pattern defining an infinite sequence of numbers
In mathematics and computer science, a recurrence relation is an equation according to which the n {\displaystyle n} th term of a sequence of numbers is
Recurrence_relation
French mathematician (1752–1833)
Legendre's constant Legendre's equation in number theory Legendre's functional relation for elliptic integrals Legendre's conjecture Legendre sieve Legendre
Adrien-Marie_Legendre
Number of arguments required by a function
the number of arguments or operands taken by a function, operation or relation. In mathematics, arity may also be called rank, but this word can have
Arity
Inference rules in database theory
Given a set of functional dependencies F {\displaystyle F} , an Armstrong relation is a relation which satisfies all the functional dependencies in the
Armstrong's_axioms
Linguistic theory giving noun phrases semantic roles
cause. Nevertheless, some thematic relation labels are more logically plausible than others. In many functionally oriented linguistic approaches, the
Thematic_relation
Species of rodent
intake of ca. two grams of plant seeds per day. They specify the functional relation between the daily food intake (N) and the body-weight (M) to be N
Roborovski_dwarf_hamster
Concept in economics
'Dn' denotes the demand for a particular commodity 'n', f shows the functional relation between the demand for the commodity 'n' and the factors affecting
Demand
Relation of wavelength/wavenumber as a function of a wave's frequency
index—it is common to refer to the functional dependence of angular frequency on wavenumber as the dispersion relation. For particles, this translates to
Dispersion_relation
Form of physiotherapy
Fullerton, Brad; Carla, Stecco (October 2013). "The anatomical and functional relation between gluteus maximus and fascia lata". Journal of Bodywork and
Fascial_manipulation
Statistical technique
approach. Tucker, L.R. (1958). "Determination of parameters of a functional relation by factor analysis" (PDF). Psychometrika. 23: 19–23. doi:10.1007/BF02288975
Latent_growth_modeling
Algerian philosopher
movement, indeed, its deterioration and stagnation, all possessed a functional relation with the system of ideas found in that society. If that system were
Malek_Bennabi
Theorem about products in model theory
_{i}\models r(a_{1}(i),\ldots ,a_{p}(i))} When r {\displaystyle r} is a functional relation, this definition reduces to the definition of direct product in universal
Feferman–Vaught_theorem
State of functionality prior to the onset of a disease or illness
Premorbidity refers to the state of functionality prior to the onset of a disease or illness. It is most often used in relation to psychological function (e
Premorbidity
Group of macroeconomic theories
step ... For when we look upon the Multiplier as an instantaneous functional relation ... we are merely using the word Multiplier to stand for an alternative
Keynesian_economics
Topics referred to by the same term
(mathematics), a relation that associates an input to a single output Function (sociology), an activity's role in society Functionality (chemistry), the
Function
Numerical computation of special functions
formula or reflection relation for a function f is a relationship between f(a − x) and f(x). It is a special case of a functional equation. It is common
Reflection_formula
Location used to monitor surface water flow
surrogate, a rating curve must be constructed. A rating curve is the functional relation between stage and discharge. It is determined by making repeated
Stream_gauge
Set of columns in a relational database
minimal. There is a functional dependency from the candidate key to all the attributes in the relation. The superkeys of a relation are all the possible
Candidate_key
Dentistry jaw position
Recording Centric Relation: Physiological Methods Tactile or inter-occlusal check record method Pressureless method Pressure method Functional Methods Needlehouse
Centric_relation
Database model
{\displaystyle U} . Trivial functional dependency A functional dependency is trivial under a header H {\displaystyle H} if it holds in all relation universes over
Relational_model
Observed discrepancy in galactic angular momenta
have subsequently been confirmed. For instance, MOND predicts a functional relation between the asymptotic rotation speed and total (non-dark) mass of
Galaxy_rotation_curve
closure of one of its members (called its top element), or is empty. A functional relation is a binary predicate F {\displaystyle F} such that ∀ x , y , z (
Implementation of mathematics in set theory
Implementation_of_mathematics_in_set_theory
solution. Whenever J = 0 {\displaystyle J=0} , then there exists a functional relation between ( a , b , c ) {\displaystyle (a,b,c)} because whenever a
First-order partial differential equation
First-order_partial_differential_equation
Australian zoologist (1897–1956)
experimental studies on the innervation of skeletal muscle and the functional relation of the sympathetic system to muscle (Orbeli effect); his histological
Oscar_Werner_Tiegs
Concept in mathematical logic
In logic, a functionally complete set of logical connectives or Boolean operators is one that can be used to express all possible truth tables by combining
Functional_completeness
A relation network (RN) is an artificial neural network component with a structure that can reason about relations among objects. An example category of
Relation_network
1960 mathematics textbook by Paul Halmos
function F : A → X {\displaystyle F\colon A\to X} is defined to be a functional relation (i.e. a certain subset of A × X {\displaystyle A\times X} ), not
Naive_Set_Theory_(book)
Operation on mathematical functions
special case of a binary relation (namely functional relations), function composition satisfies the definition for relation composition. A small circle
Function_composition
Average measure of the efficiency of production
original MFP model involves several assumptions: that there is a stable functional relation between inputs and output at the economy-wide level of aggregation
Productivity
of metric spaces. One type of Laplace functional, also known as a characteristic functional is defined in relation to a point process, which can be interpreted
Laplace_functional
Process for maintaining consistency of a product attributes with its design
such as failure of equipment or loss of life. CM emphasizes the functional relation between parts, subsystems, and systems for effectively controlling
Configuration_management
Normal form used in database normalization
minimal superkeys for that relation) because e.g. S1 ⊂ S5, so S5 cannot be a candidate key. Given that 2NF prohibits partial functional dependencies of non-prime
Boyce–Codd_normal_form
Design pattern in functional programming to build generic types
In functional programming, monads are a way to structure computations as a sequence of steps, where each step not only produces a value but also some extra
Monad (functional programming)
Monad_(functional_programming)
One-to-one correspondence
bijection f with domain X (indicated by f: X → Y in functional notation) also defines a converse relation starting in Y and going to X (by turning the arrows
Bijection
Foundational principle in quantum physics
generalizes more easily. Mathematically, in wave mechanics, the uncertainty relation between position and momentum arises because the expressions of the wavefunction
Uncertainty_principle
In convex analysis and mathematical optimization, the supporting functional is a generalization of the supporting hyperplane of a set. Let X be a locally
Supporting_functional
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
Template that specifies one or more axioms
replacement. In the replacement schema, each formula that defines a functional relation gives an axiom asserting that the image of any set under that definable
Axiom_schema
to having one and only one input. As a result, they have found use in functional reactive programming, tacit programming (point-free style), parsers, and
Arrow_(computer_science)
Clause relationships in linguistics
grammatical functions, grammatical roles, or syntactic functions) are functional relationships between constituents in a clause. The standard examples
Grammatical_relation
Function that preserves distinctness
algebraic structures is an embedding. Unlike surjectivity, which is a relation between the graph of a function and its codomain, injectivity is a property
Injective_function
Logic principle
equal elements, and elements of a set which are related by an equivalence relation belong to the same equivalence class. Type-theoretical foundations of mathematics
Extensionality
In mathematical logic, the ancestral relation (often shortened to ancestral) of a binary relation R is its transitive closure, however defined in a different
Ancestral_relation
Philosophy of behavior science with pragmatism
Functional contextualism is an extension and contextualistic interpretation of B.F. Skinner's radical behaviorism rooted in philosophical pragmatism and
Functional_contextualism
Relation satisfied by conjugate variables in quantum mechanics
In quantum mechanics, the canonical commutation relation is the fundamental relation between canonical conjugate quantities (quantities which are related
Canonical commutation relation
Canonical_commutation_relation
Canonical commutation or anticommutation relations
In mathematics and physics CCR algebras (after canonical commutation relations) and CAR algebras (after canonical anticommutation relations) arise from
CCR_and_CAR_algebras
Axiom
general relation φ {\displaystyle \varphi } in its antecedent. In a framework like recursion theory, a functions may be representable as a functional relation
Church's thesis (constructive mathematics)
Church's_thesis_(constructive_mathematics)
Any one of the distinct objects that make up a set in set theory
membership only, and "includes" for the subset relation only. For the relation ∈ , the converse relation ∈T may be written A ∋ x {\displaystyle A\ni x}
Element_of_a_set
Type of grammar based on constituent entities
grammars is thus their adherence to the constituency relation, as opposed to the dependency relation of dependency grammars. In 1956, Chomsky wrote, "A
Phrase_structure_grammar
Musical term
theory in origin was not explicitly about tonal functions. It considers the relation of the chords to their tonic in the context of harmonic progressions, often
Function_(music)
Medical condition
Functional gastrointestinal disorders (FGID), also known as disorders of gut–brain interaction, include a number of separate idiopathic disorders which
Functional gastrointestinal disorder
Functional_gastrointestinal_disorder
Approach that considers language as a social semiotic system
Systemic functional linguistics (SFL) is an approach to linguistics, among functional linguistics, that considers language as a social semiotic system
Systemic functional linguistics
Systemic_functional_linguistics
Infinite sequence in mathematics
of the paperfolding sequence, it can be seen that G satisfies the functional relation G ( t n ; x ) = G ( t n ; x 2 ) + ∑ n = 0 ∞ x 4 n + 1 = G ( t n ;
Regular_paperfolding_sequence
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
Level of database normalization
candidate key) is functionally dependent on only a proper subset of the attributes making up a candidate key. To be in 2NF, a relation must have every non-prime
Second_normal_form
System responsible for combining morphemes into complex structures
meaning (semantics). Diverse approaches, such as generative grammar and functional grammar, offer unique perspectives on syntax, reflecting its complexity
Syntax
Logical connective AND
mathematics and linguistics, and ( ∧ {\displaystyle \wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical connective
Logical_conjunction
Medical condition that impairs normal functioning of bodily processes
Functional disorders are a group of recognisable medical conditions which are due to changes to the functioning of the systems of the body rather than
Functional_disorder
Approach to linguistics
Functional linguistics is an approach to the study of language characterized by taking systematically into account the speaker's and the hearer's side
Functional_linguistics
Infinite cardinal number
Set hereditary Class (Ur-)Element Ordinal number Extensionality Forcing Relation equivalence partition Set operations: intersection union complement Cartesian
Aleph_number
Symbol representing a mathematical concept
with function symbols but instead use only relation symbols; another way to think of this is that a functional predicate is a special kind of predicate
Function_symbol
Psychological trait
Honesty-Humility, and the two concepts have been called "strongly overlapping, yet functionally different and nomologically distinct constructs". D is usually measured
Dark_Factor_of_Personality
Protection Ring (MS-DP Ring), which offers a dedicated protection mode. SNCP's functional equivalent in SONET is called UPSR SNCP is a per path protection. It follows
Subnetwork connection protection
Subnetwork_connection_protection
German newspaper publisher (1575–1634)
Soon the Relation was followed by other periodicals, such as, the Avisa Relation oder Zeitung. If a newspaper is defined by the functional criteria of
Johann_Carolus
Limitative results in mathematical logic
of its proof. The relation between the Gödel number of p and x, the potential Gödel number of its proof, is an arithmetical relation between two numbers
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Term in logic and deductive reasoning
Set hereditary Class (Ur-)Element Ordinal number Extensionality Forcing Relation equivalence partition Set operations: intersection union complement Cartesian
Soundness
Type of residuated Boolean algebra with extra structure
relation algebra is a residuated Boolean algebra expanded with an involution called converse, a unary operation. The motivating example of a relation
Relation_algebra
Primary tenets
Systemic functional grammar (SFG) is a form of grammatical description originated by Michael Halliday. It is part of a social semiotic approach to language
Systemic_functional_grammar
Symbol representing a property or relation in logic
logic, a predicate is a non-logical symbol that represents a property or a relation, though, formally, does not need to represent anything at all. For instance
Predicate_(logic)
Logical principle
Set hereditary Class (Ur-)Element Ordinal number Extensionality Forcing Relation equivalence partition Set operations: intersection union complement Cartesian
Law_of_excluded_middle
Sociological theory of society
hand, Parsons recognized that he had oversimplified his functional analysis of women in relation to work and the family, and focused on the positive functions
Structural_functionalism
Type of binary relation
In mathematics, a binary relation R is called well-founded (or wellfounded or foundational) on a set or, more generally, a class X if every non-empty subset
Well-founded_relation
Psychology theory
typologies of human attitudes in relation to the functions to which they believed the attitudes served. The goal of these ‘functional attitude theories,’ (FAT)
Functional_attitude_theory
Process of repeating items in a self-similar way
Programming Language. The joke is part of the functional programming folklore and was already widespread in the functional programming community before the publication
Recursion
FUNCTIONAL RELATION
FUNCTIONAL RELATION
Male
Celtic
, great justiciary, or functionary.
Boy/Male
English
The fictional character Jorel father of Superman.
Boy/Male
American, British, English
Mighty Spearman; The Fictional Character Jorel Father of Superman
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Boy/Male
French
Fictional swordsman: (ambitious and filled with religious aspirations) from Alexander Dumas's...
Male
Egyptian
, a high Egyptian functionary.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Boy/Male
English
The fictional character Jorel father of Superman.
Boy/Male
American, British, English
Mighty Spearman; One who Saves; The Fictional Character Jorel Father of Superman
Boy/Male
English
The fictional character Jorel father of Superman.
Male
Egyptian
, the son of the functionary Heknofre.
Boy/Male
English
Modern. The fictional character Jorel father of Superman.
Male
Egyptian
, Functionary of the Interior.
Male
Egyptian
, an Egyptian functionary.
Biblical
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Male
Egyptian
, an Egyptian functionary.
Boy/Male
American, Australian, British, Danish, English, Finnish, French, German, Scandinavian
Farmer; The Fictional Character Jorel Father of Superman; Earth Worker
Boy/Male
Australian, French
Fictional Swordsman; Ambitious and Filled with Religious Aspirations; From Alexander Dumas's Three Musketeers
Boy/Male
American, Australian, British, English, French
Mighty Spearman; The Fictional Character Jorel Father of Superman
Male
Egyptian
, a great functionary.
FUNCTIONAL RELATION
FUNCTIONAL RELATION
Surname or Lastname
English
English : from a byname meaning ‘servant of the cook’ (see Cook).
Male
Norse
Old Norse name composed of the elements herr "army" and leifr "descendant," hence "army descendant."
Girl/Female
Hindu
Wife of saint Agastya, Learned woman (Wife of sage Agastya)
Surname or Lastname
English
English : habitational name from any of various places called Wallington. Those in Berkshire, Hampshire, and Greater London are probably all named from the genitive plural of Old English walh ‘foreigner’, ‘Briton’ (see Wallace) + tūn ‘enclosure’, ‘settlement’. One in Northumberland was originally Old English Wealingtūn ‘settlement associated with Wealh’, a personal name or byname. One in Hertfordshire was named as the ‘settlement of the people of Wændel’, an unattested Old English personal name, while one in Norfolk was probably the ‘settlement of the dwellers by the wall (Old English wall)’.
Boy/Male
British, English
From the Priest's Cottage
Surname or Lastname
English
English : habitational name possibly from any of three places in Devon called Lincombe, named in Old English with līn ‘flax’ or lind ‘lime tree’ + cumb ‘valley’.
Male
Hebrew
(×ֱלִׄפַז) Hebrew name ELIYPHAZ means "my God is pure gold." In the bible, this is the name of Job's three friends.
Girl/Female
Greek Russian
Rainbow.
Biblical
lovely, amiable
Girl/Female
Gujarati, Hindu, Indian
Beautiful; Darkness; Peace; Affection; Harmony; Brave; Cleaver; Powerful; Name of Lord Krishna
FUNCTIONAL RELATION
FUNCTIONAL RELATION
FUNCTIONAL RELATION
FUNCTIONAL RELATION
FUNCTIONAL RELATION
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
a.
Pertaining to, or connected with, a function or duty; official.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
a.
Pertaining to, or characterized by, fiction; fictitious; romantic.
n.
Paper fractional currency.
a.
Relatively small; inconsiderable; insignificant; as, a fractional part of the population.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Capable of, or pertaining to, flection or inflection.
n.
A derived function; a function obtained from a given function by a certain algebraic process.
v. t.
To supply with an organ or organs having a special function or functions.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
n.
The office, duties, or functions of a minister, servant, or agent; ecclesiastical, executive, or ambassadorial function or profession.
n.
An angle upon which the value of some function depends; -- a term used more especially in connection with elliptic functions.
a.
Pertaining to the function of an organ or part, or to the functions in general.
pl.
of Functionary
a.
Of or pertaining to fractions or a fraction; constituting a fraction; as, fractional numbers.
a.
Relating to friction; moved by friction; produced by friction; as, frictional electricity.
v. i.
Alt. of Functionate
a.
Fractional.