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Relation of degree three
mathematics, a ternary relation or triadic relation is a finitary relation in which the number of places in the relation is three. Ternary relations may
Ternary_relation
Mathematical operation that combines three elements to produce another element
function Ternary conditional operator for a list of ternary operators in computer programming languages Ternary Exclusive or Ternary equivalence relation MDN
Ternary_operation
Topics referred to by the same term
relation Serial relation Ternary relation (or triadic, 3-adic, 3-ary relation) Relation may also refer to: Directed relation Relation algebra, an algebraic
Relation
Alternative mathematical ordering
binary relation, such as "a < b". One does not say that east is "more clockwise" than west. Instead, a cyclic order is defined as a ternary relation [a,
Cyclic_order
Topics referred to by the same term
some other value Ternary plot or ternary graph, a plot that shows the ratios of three proportions Ternary relation, a finitary relation in which the number
Ternary
Property that assigns truth values to k-tuples of individuals
All three of the domains of a homogeneous ternary relation are the same set. Consider the ternary relation R "x thinks that y likes z" over the set of
Finitary_relation
Type of geometry
characteristic not 2. One can pursue axiomatization by postulating a ternary relation, [ABC] to denote when three points (not all necessarily distinct) are
Projective_geometry
Number of arguments required by a function
Mathematics portal Philosophy portal Logic of relatives Binary relation Ternary relation Theory of relations Signature (logic) Parameter p-adic number
Arity
Ternary relation analogous to a binary equivalence relation
mathematics, a ternary equivalence relation is a kind of ternary relation analogous to a binary equivalence relation. A ternary equivalence relation is symmetric
Ternary_equivalence_relation
Numeral system using the values -1, 0 and 1
Balanced ternary is a ternary numeral system (i.e. base 3 with three digits) that uses a balanced signed-digit representation of the integers in which
Balanced_ternary
Addition, multiplication, division, ...
turning around the standard representation of a binary operation as a ternary relation and generalizing to arity n. This idea of expanding the realm of operations
Operation_(mathematics)
Relationship between elements of two sets
b^{\mathsf {T}}} denotes the converse relation of b {\displaystyle b} . In 1953 Viktor Wagner used properties of this ternary operation to define semiheaps,
Binary_relation
Idea in psychoanalysis
system independent of itself". Moreover, Lacan's proposal that "the ternary relation of the Oedipus complex" liberates the "prisoner of the dual relationship"
Oedipus_complex
Mathematical operation with two operands
{\displaystyle f} on a set S {\displaystyle S} may be viewed as a ternary relation on S {\displaystyle S} , that is, the set of triples ( a , b , f (
Binary_operation
Mathematical concept for comparing objects
equivalence relation may be alternatively defined as a symmetric, transitive, and total relation. A ternary equivalence relation is a ternary analogue to
Equivalence_relation
In mathematics, a partial cyclic order is a ternary relation that generalizes a cyclic order in the same way that a partial order generalizes a linear
Partial_cyclic_order
logic. ternary function A function that takes three arguments or inputs, in contrast to unary and binary functions. ternary relation A relation involving
Glossary_of_logic
Set of points on a line segment with certain topological properties
modern point-set topology. The most common construction is the Cantor ternary set, built by removing the middle third of a line segment and then repeating
Cantor_set
Mathematical operation
as defined here can be obtained by taking their join, leading to a ternary relation, followed by a projection that removes the middle component. For example
Composition_of_relations
Index of articles associated with the same name
the digits are successive multiples of the number Cyclic order, a ternary relation defining a way to arrange a set of objects in a circle Cyclic permutation
Cyclic_(mathematics)
a C-minimal theory is a theory that is "minimal" with respect to a ternary relation C with certain properties. Algebraically closed fields with a (Krull)
C-minimal_theory
Ternary relation on points in the plane
computational geometry, a CC system or counterclockwise system is a ternary relation pqr introduced by Donald Knuth to model the clockwise ordering of triples
CC_system
State machine that may have infinite states
set of values V, and a function that maps F × S to V. Binary relation Ternary relation Transition monoid Transformation monoid Semigroup action Simulation
Transition_system
Topics referred to by the same term
a noun derived from the proposition between. It may refer to: The ternary relation of intermediacy or betweenness, a feature of ordered geometry. Betweenness
Betweenness
Philosophical paradox introduced by Nelson Goodman
"Ugly duckling theorem". Rather than arbitrary sets Quines uses this ternary relation in order to admit different levels of similarity, such that e.g. red
New_riddle_of_induction
When a finite set S of relations yields polynomial-time or NP-complete problems
variables {v1,...,vk, x1,...,xm}. For example, if Γ consists of the ternary relation nae(x,y,z) holding if x,y,z are not all equal, and R(x,y,z) is x∨y∨z
Schaefer's_dichotomy_theorem
Method of deriving an ontology
concept analysis replaces the binary incidence relation between objects and attributes by a ternary relation between objects, attributes, and conditions
Formal_concept_analysis
Ways how entities stand to each other
Another example is the relation of being adjacent to. Relations with an adicity of two are called dyadic or binary. Triadic or ternary relations have an adicity
Relation_(philosophy)
Overview of and topical guide to logic
relation Serial relation Surjective function Symmetric relation Ternary relation Transitive relation Trichotomy (mathematics) Well-founded relation Mathematical
Outline_of_logic
Form of geometry without distances
primitive notions in ordered geometry are points A, B, C, ... and the ternary relation of intermediacy [ABC] which can be read as "B is between A and C".
Ordered_geometry
Generalized topological space
by Chu(Set, 8) since the group multiplication can be organized as a ternary relation. Chu(Set, 2) realizes a wide range of "logical" structures such as
Chu_space
System including an indeterminate value
A three-valued logic (also trinary logic, trivalent, ternary, or trilean, sometimes abbreviated 3VL) is any of several many-valued logic systems in which
Three-valued_logic
English language word
in time". Philosopher James B. Freeman defines acceptability as a "ternary relation between a statement, a person, and a point in time", distinguishing
Acceptability
In projective geometry, a bijection between projective spaces that preserves collinearity
forming a torsor over Gal(K/k). The idea of a line was abstracted to a ternary relation determined by collinearity (points lying on a single line). According
Collineation
Equation in thermodynamics
of the other components of the solution representable in a diagram like ternary plot. The last equality can be integrated from x 2 = 1 {\displaystyle x_{2}=1}
Gibbs–Duhem_equation
Kind of non-classical logic
language is a quadruple (W,R,*,0), where W is a non-empty set, R is a ternary relation on W, and * is a function from W to W, and 0 ∈ W {\displaystyle 0\in
Relevance_logic
Relative location of objects in space
A spatial relation specifies how some object is located in space in relation to some reference object. When the reference object is much bigger than the
Spatial_relation
the Yangian admits a simpler description in terms of a single ternary (or RTT) relation on the matrix generators due to Faddeev and coauthors. The Yangian
Yangian
theory of Charles Sanders Peirce Semiotic information theory Sign relation Ternary relation Weizsäcker, von, Ernst Ulrich; Weizsäcker, von, Christine. Wiederaufnahme
Pragmatic theory of information
Pragmatic_theory_of_information
In mathematics, a ternary cubic form is a homogeneous degree 3 polynomial in three variables. The ternary cubic is one of the few cases of a form of degree
Ternary_cubic
Euclidean geometry without distance and angles
property holds in the affine plane defined by a ternary ring, then there is an equivalence relation between "vectors" defined by pairs of points from
Affine_geometry
Construction in projective geometry
and a ternary mapping T : R 3 → R {\displaystyle T\colon R^{3}\to R\,} may be called a ternary system. A planar ternary ring (PTR) or ternary field is
Planar_ternary_ring
Concept in computability theory
{\displaystyle T} predicate is obtained by formalizing this simulation. The ternary relation T 1 ( e , i , x ) {\displaystyle T_{1}(e,i,x)} takes three natural
Kleene's_T_predicate
Operation measuring the failure of two entities to commute
commutation relation Centralizer a.k.a. commutant Derivation (abstract algebra) Moyal bracket Pincherle derivative Poisson bracket Ternary commutator Three
Commutator
a special kind of relations (for example, a binary operation is a ternary relation). However, quite often, it is an advantage to have operations as a
Equivalent definitions of mathematical structures
Equivalent_definitions_of_mathematical_structures
Algebraic structure with a ternary operation
semiheap is an algebraic structure consisting of a non-empty set H with a ternary operation denoted [ x , y , z ] ∈ H {\displaystyle [x,y,z]\in H} that satisfies
Heap_(mathematics)
Israeli academic philosopher (born 1939)
of fraternity" (2). By Margalit's analysis, betrayal is a ternary relation, that is a relation holding between three objects. Thus the standard form of
Avishai_Margalit
Study of biochemical reaction rates catalysed by an enzyme
products P and Q, there are two types of mechanism: ternary complex and substituted-enzyme mechanisms. Ternary-complex mechanisms In these enzymes, both substrates
Enzyme_kinetics
Geometric concept of a 2D space with "points at infinity" adjoined
coordinate "ring"—a so-called planar ternary ring (not a genuine ring)—corresponding to any projective plane. A planar ternary ring need not be a field or division
Projective_plane
Amount of substance of solute divided by the mass of the solvent
results for a ternary solution can be extended to a multicomponent solution (with more than two solutes). The molalities of the solutes in a ternary solution
Molality
Subfield of linguistic semantics
structural hypothesis. The original structural hypothesis was that of ternary branching seen in (9a) and (9b), but following from Kayne's 1981 analysis
Lexical_semantics
Prefix derived from numerals or other numbers
10th month) binary, ternary, octal, decimal, hexadecimal (numbers expressed in base 2, base 3, base 8, base 10, base 16) Unary, binary, ternary, quaternary,
Numeral_prefix
Difference in properties of one mole of substance in a mixture vs. an ideal solution
(liquid) components of the same solution. This procedure can be extended to ternary and multicomponent mixtures. Apparent quantities can also be expressed
Apparent_molar_property
Unit of information
bit) Shannon (unit) – Unit of information Trit – Ternary numeral system – Base-3 numeral system (ternary digit) Mackenzie, Charles E. (1980). Coded Character
Bit
Integer whose multiples are digit rotations
797, 821, 827, 829, 853, 859, 877, 883, 907, 941, 947, ... For b = 3 (ternary), these ps are (sequence A019334 in the OEIS) 2, 5, 7, 17, 19, 29, 31,
Cyclic_number
Mathematical sequence involving arithmetic progressions
consists of those numbers whose ternary representations have only the digits 0 and 1. That is, when written in ternary, they look like binary numbers.
Stanley_sequence
Computing by new or unusual methods
trits, or ternary digits, which can be defined in several ways, including unbalanced ternary, fractional unbalanced ternary, balanced ternary, and unknown-state
Unconventional_computing
Change in enthalpy during the mixture of substances
equivalent to the excess internal energy. The enthalpy of mixing for a ternary mixture can be expressed in terms of the enthalpies of mixing of the corresponding
Enthalpy_of_mixing
Type of logical system
if f is a unary function symbol, P a unary predicate symbol, and Q a ternary predicate symbol. However, ∀ x x → {\displaystyle \forall x\,x\rightarrow
First-order_logic
Müller noted simplexity in the structure of ternary compounds: "By dealing with approximately ten ternary structural groupings we can cover the most important
Simplexity
Algorithm to transform a regular expression into a finite automaton
Compressed suffix array LCP array FM-index Generalized suffix tree Rope Ternary search tree Trie Other Parsing Pattern matching Compressed pattern matching
Thompson's_construction
Western music created during the Middle Ages
time, and thus preserving the perfect subdivision of the tempus. This ternary division held for all note values. In contrast, the Ars Nova period introduced
Medieval_music
Ordered arrangement of atoms, ions, or molecules in a crystalline material
intermetallic materials science have led to the identification of a new family of ternary compounds known as ZIP phases. These structures are characterised by so-called
Crystal_structure
Musical notation system used for Renaissance vocal polyphony
one, regardless of context. A note in mensural notation could be read as ternary ("perfect") or binary ("imperfect"), depending on rules of context and
Mensural_notation
Natural number
(1912). Coan, C. Arthur (ed.). Nature's Harmonic Unity: A Treatise on Its Relation to Proportional Form. New York and London: G.P. Putnam's Sons. p. 10. "Sloane's
2
Broadest definition of sizes in integer-dimensional spaces
other sets obtained from them by countable operations (e.g., the Cantor ternary set). There is a unique measure on the Borel subsets of R n {\displaystyle
Lebesgue_measure
Base-4 numeral system
with the octal and hexadecimal numeral systems, quaternary has a special relation to the binary numeral system. Each radix four, eight, and sixteen is a
Quaternary_numeral_system
Topics referred to by the same term
Binomial (disambiguation) Boolean (disambiguation) Secondary (disambiguation) Ternary (disambiguation) Unary (disambiguation) All pages with titles beginning
Binary
In mathematics, a median algebra is a set with a ternary operation ⟨ x , y , z ⟩ {\displaystyle \langle x,y,z\rangle } satisfying a set of axioms which
Median_algebra
Natural number
(1912). Coan, C. Arthur (ed.). Nature's Harmonic Unity: A Treatise on Its Relation to Proportional Form. New York and London: G.P. Putnam's Sons. Crystal
1
Object with no referenced value or with defined neutral ("null") behavior
{ return 1 + size(bt.getLeft()) + size(bt.getRight()); } } // if using ternary operator: public int size(BinaryTree bt) { return bt != null ? 1 + size(bt
Null_object_pattern
Numeral system
sign for 60 (beside two Semitic signs for the same number) attests to a relation with the Sumerian system. The Babylonian system is credited as being the
Babylonian_cuneiform_numerals
Natural number
every point. This is related to other appearances of the number seven in relation to exceptional objects, like the fact that the octonions contain seven
7
Calcium endmember of the plagioclase feldspar series
1180/mgm.2021.43. S2CID 235729616. Rankin, George; Wright, Fred (1915). "The ternary system CaO-Al2O3-SiO2, with optical study by F.E. Wright". American Journal
Anorthite
Musical piece for a single voice as part of a larger work
one of two forms. Binary form arias were in two sections (A–B); arias in ternary form (A–B–A) were known as da capo arias (literally 'from the head', i
Aria
Result of partitioning the elements of an algebraic structure using a congruence relation
a congruence relation. Quotient algebras are also called factor algebras. Here, the congruence relation must be an equivalence relation that is additionally
Quotient_(universal_algebra)
Concentration of a vapor in contact with its liquid
mixtures are those having two components. Three-component mixtures are called ternary mixtures. There can be VLE data for mixtures with even more components
Vapor–liquid_equilibrium
German polymath and scholar (1777–1855)
polygonal number theorem. He also contributed to the theory of binary and ternary quadratic forms, and the theory of hypergeometric series. When Gauss was
Carl_Friedrich_Gauss
Quantity in solid-state physics
relevant sublattice is known as alloy scattering. This can only happen in ternary or higher alloys as their crystal structure forms by randomly replacing
Electron_mobility
Order-preserving mathematical function
particular not is forbidden). For instance "at least two of a, b, c hold" (the ternary majority function) is a monotonic function of a, b, c, since it can be
Monotonic_function
Solvent interface of a solute
Normality Molality Mole fraction Mass fraction Isotopic abundance Mixing ratio Ternary plot Total dissolved solids Solubility Solubility equilibrium Solvation
Solvation_shell
Number, approximately 3.14
100010001000010110100011... (see OEIS: A004601) The first 36 digits in ternary (base 3) are 10.010211012222010211002111110221222220... (see OEIS: A004602)
Pi
Andean record-keeping system using knotted cords
Martti Pärssinen, quipucamayocs would learn specific oral texts, which in relation to the basic information contained in quipu, and pictorial representations
Quipu
Computer science data structure
heap Pairing heap Radix heap Randomized meldable heap Skew heap Soft heap Ternary heap Treap Weak heap Here are time complexities of various heap data structures
Heap_(data_structure)
Even integers as sums of two primes
as "Goldbach's weak conjecture", the "odd Goldbach conjecture", or the "ternary Goldbach conjecture", asserts that Every odd integer greater than 7 can
Goldbach's_conjecture
Division into three categories
(relation of reaction or resistance), or triadic (representational relation), and never genuinely and irreducibly tetradic or larger. Balanced ternary
Trichotomy_(philosophy)
Chemical element with atomic number 19 (K)
and air-free solvents. It can also be used in reactive distillation. The ternary alloy of 12% Na, 47% K and 41% Cs has the lowest melting point of −78 °C
Potassium
Words and phrases to describe familial relationships
Australian Aboriginal languages are tri-relational—also called triangular, ternary, triadic and shared kin-terms—which encapsulate a set of relations between
Kinship_terminology
Topics referred to by the same term
science and technology Unary (disambiguation) Binary (disambiguation) Ternary (disambiguation) This disambiguation page lists articles associated with
N-ary
German mathematician (1882–1935)
der ternären biquadratischen Form (On Complete Systems of Invariants for Ternary Biquadratic Forms), in 1907, graduating summa cum laude that year. Gordan
Emmy_Noether
Linguistic feature
also used. Relative frame of reference is a ternary system. The location of an object is expressed in relation to both the viewpoint of the perceiver and
Linguistic_frame_of_reference
Object of a mathematical operation, quantity on which an operation is performed
classified as nullary (no operands), unary (1 operand), binary (2 operands), ternary (3 operands). Higher arities are less frequently denominated through a
Operand
Set on which a group acts freely and transitively
of the latter operation with the right group action, however, yields a ternary operation X × (X × X) → X, which serves as an affine generalization of
Principal_homogeneous_space
Web of human social relationships
the former), trirelational kin-terms—also known as triangular, triadic, ternary, and shared kin-terms—denote a relationship between three distinct entities
Kinship
Various systems of symbolic logic
Alexander V. Kuznetsov, either of the following connectives – the first one ternary, the second one quinary – is by itself functionally complete: either one
Intuitionistic_logic
Force distributed over an area
pressure conditions was derived. The theory was further examined using the ternary semiconductor alloy AlxGa1−xN as a case study. It was reported that the
Pressure
Assembly of systems connected to manage forces and movement
called ternary links, and there are two topologies of this linkage depending how these links are connected. In the Watt topology, the two ternary links
Linkage_(mechanical)
problem". arXiv:1205.5252 [math.NT]. Helfgott, Harald A. (2013). "The ternary Goldbach conjecture is true". arXiv:1312.7748 [math.NT]. Zhang, Yitang
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Conjecture on zeros of the zeta function
than 5 is the sum of three primes. In 2013 Harald Helfgott proved the ternary Goldbach conjecture without the GRH dependence, subject to some extensive
Riemann_hypothesis
Relation between relative derivatives of three variables
triple product rule, known variously as the cyclic chain rule, cyclic relation, cyclical rule, Euler's chain rule, or the reciprocity theorem, is a formula
Triple_product_rule
TERNARY RELATION
TERNARY RELATION
Female
English
Variant spelling of English Terrie, TERRY means "harvester." Compare with masculine Terry.
Girl/Female
Christian & English(British/American/Australian)
Feminine for Bernard
Surname or Lastname
English and Irish
English and Irish : from the common Norman personal name, T(h)erry (Old French Thierri), composed of the unattested Germanic element þeudo- ‘people’, ‘race’ + rÄ«c ‘power’. Theodoric was the name of the Ostrogothic leader (c. 454–526) who invaded Italy in 488 and established his capital at Ravenna in 493. His name was often taken as a derivative of Greek TheodÅros (see Theodore). There was an Anglo-Norman family of this name in County Cork.Irish : Anglicized (‘translated’) form of Gaelic Mac Toirdhealbhaigh (see Turley).Southern French : occupational name for a potter, from Occitan terrin ‘earthenware vase’ (a diminutive of terre ‘earth’, Latin terra).
Boy/Male
German
Bear; Courageous
Male
English
Stern Bear
Surname or Lastname
English
English : variant of Bernard.
Boy/Male
African, American, Australian, British, Chinese, Christian, Czechoslovakian, Danish, Dutch, English, French, German, Indian, Irish, Latin, Polish, Swiss
Brave as a Bear; Bear; Courageous; Strong; Bear-brave
Boy/Male
French
From the alder grove.
Surname or Lastname
English, French, Dutch, Polish, Czech, and Slovenian
English, French, Dutch, Polish, Czech, and Slovenian : from a Germanic personal name (see Bernhard). The popularity of the personal name was greatly increased by virtue of its having been borne by St. Bernard of Clairvaux (c.1090–1153), founder and abbot of the Cistercian monastery at Clairvaux.Americanized form of German Bernhard or any of the other cognates in European languages; for forms see Hanks and Hodges 1988.The first bearer of the name in Canada was from the Lorraine region of France. He is documented in Quebec city in 1666 as Jean Bernard. He and some of his descendants bore the secondary surnames Anse and Hanse, because his original forename must have been Hans (the German equivalent of French Jean, English John). Another bearer, from La Rochelle, is documented in Quebec city in 1676; and a third, from the Poitou region of France, was also documented in Quebec city, in 1713, with the secondary surname Léveillé. Other documented secondary names are Jolicoeur, Larivière, and Lajoie.
Girl/Female
Australian, French, German, Italian
Feminine of Bernard
Boy/Male
American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Irish, Jamaican, Latin, Teutonic
Smooth; Ruler of the People; One who Aids or Assists; Polished; First of the People; King of Nations
Male
French
 Norman French form of Old High German Bernhard, BERNARD means "bold as a bear." Compare with another form of Bernard.
Girl/Female
American, Australian, British, Chinese, English, French, German, Greek, Irish, Jamaican, Latin
Harvester; Abbreviation of Teresa; Ruler of the People; Power of the Tribe; Theresa; One who Aids or Assists; Form of Terence; Tender; Gracious; Good
Boy/Male
German American Norse English Latin Teutonic
Ruler of the people.
Male
English
 English form of Anglo-Saxon Beornheard, BERNARD means "bold as a bear." Compare with another form of Bernard.
Male
English
Compare with feminine Terry. English form of Norman French Thierri, TERRY means "first of the people; king of nations." Pet form of English Terence, possibly meaning "rub, turn, twist."Â
Girl/Female
Greek American English
Reap; from Therasia.
Girl/Female
American, Christian, French, Indian
Feminine for Bernard
Boy/Male
English American German
Strong as a bear. See also Bjorn.
Boy/Male
Celtic
Regal.
TERNARY RELATION
TERNARY RELATION
Girl/Female
Indian
Sincere
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Creation
Girl/Female
Hindu
Beautiful, Tasty
Girl/Female
Bengali, Indian, Telugu
Knowledge
Boy/Male
Hebrew
God is my judge.
Boy/Male
Hindu
God knowledge
Girl/Female
Gaelic Irish
noble.
Girl/Female
Arabic, Muslim
Noble
Boy/Male
Arabic, Muslim
A Companion of the Prophet PBUH; Bin Usman Al-makhzumi RA; Who was Martyred at Badr
Boy/Male
Indian, Sanskrit
Famous
TERNARY RELATION
TERNARY RELATION
TERNARY RELATION
TERNARY RELATION
TERNARY RELATION
pl.
of Tertiary
n.
A ternary compound of oxygen and chlorine; as, plumbic oxychloride.
n.
Work turned on a lathe; turnery.
a.
Containing, or consisting of, three different parts, as elements, atoms, groups, or radicals, which are regarded as having different functions or relations in the molecule; thus, sodic hydroxide, NaOH, is a ternary compound.
n.
The Tertiary era, period, or formation.
a.
Proceeding by threes; consisting of three; as, the ternary number was anciently esteemed a symbol of perfection, and held in great veneration.
pl.
of Ternary
a. & n.
Same as Tertiary.
a.
Being of the third formation, order, or rank; third; as, a tertiary use of a word.
a.
Possessing some quality in the third degree; having been subjected to the substitution of three atoms or radicals; as, a tertiary alcohol, amine, or salt. Cf. Primary, and Secondary.
a.
The number three; three things together; a ternary.
a.
Having the parts arranged by threes; as, ternate branches, leaves, or flowers.
pl.
of Turbary
a.
Containing ten; tenfold; proceeding by tens; as, the denary, or decimal, scale.
a.
Earlier than Tertiary.
n.
A kind of heavy colored fabric, either all silk, or silk and worsted, or silk and cotton, often called terry velvet, used for upholstery and trimmings.
a.
Doubly ternate, as when a petiole has three ternate leaflets.
n.
A ternary compound of oxygen and sulphur.
n.
A tertiary amine analogous to trimethylamine.
n.
A ternion; the number three; three things taken together; a triad.