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Topics referred to by the same term
Look up ternary in Wiktionary, the free dictionary. Ternary (from Latin ternarius) or trinary is an adjective meaning "composed of three items". It can
Ternary
Base-3 numeral system
A ternary /ˈtɜːrnəri/ numeral system (also called base 3 or trinary) has three as its base. Although ternary most often refers to a system in which the
Ternary_numeral_system
Computer that uses ternary logic
A ternary computer, also called trinary computer, is one that uses ternary logic (i.e., base 3) instead of the more common binary system (i.e., base 2)
Ternary_computer
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
Mathematical operation that combines three elements to produce another element
In mathematics, a ternary operation is an n-ary operation with n = 3. A ternary operation on a set A takes any given three elements of A and combines
Ternary_operation
Soviet ternary computer
Brusentsov. It was the first modern ternary computer, using the balanced ternary numeral system and three-valued ternary logic instead of the two-valued binary
Setun
Barycentric plot on three variables
A ternary plot, ternary graph, triangle plot, simplex plot, or Gibbs triangle is a barycentric plot on three variables which sum to a constant. It graphically
Ternary_plot
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
3-part musical form
Ternary form, sometimes called song form, is a three-part musical form consisting of an opening section (A), a following section (B) and then a repetition
Ternary_form
Conditional operator in computer programming
In computer programming, the ternary conditional operator is a conditional expression with three parts: the Boolean condition, the then-expression, and
Ternary_conditional_operator
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
Tree in which each node has at most three children
In computer science, a ternary tree is a tree data structure in which each node has at most three child nodes, usually distinguished as "left", “mid”
Ternary_tree
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
Chemical compound made of three different elements
materials chemistry, a ternary compound or ternary phase is a chemical compound containing three different elements. While some ternary compounds are molecular
Ternary_compound
In telecommunications, a ternary signal is a signal that can assume, at any given instant, one of three states or significant conditions, such as power
Ternary_signal
Algorithm for finding the extrema of a unimodal function
A ternary search algorithm is a technique in computer science for finding the minimum or maximum of a unimodal function. Assume we are looking for a maximum
Ternary_search
Nuclear fission yielding three products
Ternary fission is a comparatively rare (0.2 to 0.4% of events) type of nuclear fission in which three charged products are produced rather than two.
Ternary_fission
Small number of stars that orbit each other
commonly found than those with 2 or 3. Multiple-star systems are called ternary if they contain three stars, quaternary if they contain four, etc. These
Star_system
Protein complex among three different molecules
A ternary complex is a protein complex containing three different molecules that are bound together. In structural biology, ternary complex can also be
Ternary_complex
Mixture or metallic solid solution composed of two or more elements
aluminium-copper alloys were heat-treatable to some degree, Wilm tried quenching a ternary alloy of aluminium, copper, and the addition of magnesium, but was initially
Alloy
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
Unique algebraic expression given by Srinivasa Ramanujan
In number theory, a branch of mathematics, Ramanujan's ternary quadratic form is the algebraic expression x2 + y2 + 10z2 with integral values for x, y
Ramanujan's ternary quadratic form
Ramanujan's_ternary_quadratic_form
Number of arguments required by a function
two arguments. Example: f ( x , y ) = 2 x y {\displaystyle f(x,y)=2xy} A ternary function takes three arguments. Example: f ( x , y , z ) = 2 x y z {\displaystyle
Arity
Data structure
In computer science, a ternary search tree is a type of trie (sometimes called a prefix tree) where nodes are arranged in a manner similar to a binary
Ternary_search_tree
Pair of related error-correcting codes
coding theory, the ternary Golay codes are two closely related error-correcting codes. The code generally known simply as the ternary Golay code is an [
Ternary_Golay_code
Generalized balanced ternary is a generalization of the balanced ternary numeral system to represent points in a higher-dimensional space. It was first
Generalized_balanced_ternary
Type of rechargeable battery
Raistrick, I.D.; Huggins, R.A. (1980). "Thermodynamic investigations of ternary lithium-transition metal-oxygen cathode materials". Materials Research
Lithium-ion_battery
Type of ternary line code in telecommunications
In telecommunications, the hybrid (H-) ternary line code is a line code that operates on a hybrid principle combining the binary non-return-to-zero-level
Hybrid_ternary_code
Natural number
Roman numeral I, i Greek prefix mono-/haplo- Latin prefix uni- Binary 12 Ternary 13 Senary 16 Octal 18 Duodecimal 112 Hexadecimal 116 Greek numeral α' Arabic
1
In mathematical physics, the ternary commutator is an additional ternary operation on a triple system defined by [ a , b , c ] = a b c − a c b − b a c
Ternary_commutator
Image processing process
Local ternary patterns (LTP) are an extension of local binary patterns (LBP). Unlike LBP, it does not threshold the pixels into 0 and 1, rather it uses
Local_ternary_patterns
mathematics, a ternary quartic form is a degree 4 homogeneous polynomial in three variables. Hilbert (1888) showed that a positive semi-definite ternary quartic
Ternary_quartic
Chart used to show conditions at which physical phases of a substance occur
in a ternary system an equilateral triangle is used, called Gibbs triangle (see also Ternary plot). Gibbs triangle Space phase diagram of a ternary system
Phase_diagram
Binary operator in computer programming
inspired by the ternary conditional operator, ? :, since the Elvis operator expression A ?: B is approximately equivalent to the ternary conditional expression
Elvis_operator
Conjecture about prime numbers, proof under review
Goldbach's weak conjecture, also known as the odd Goldbach conjecture, the ternary Goldbach problem, or the 3-primes problem, is the proposition that every
Goldbach's_weak_conjecture
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
Bitwise ternary logic (3-way boolean function)
Bitwise ternary logic instructions can logically implement all possible bitwise operations between three inputs (256 permutations). They take three registers
Bitwise ternary logic instruction
Bitwise_ternary_logic_instruction
Boiling points of liquid mixtures
This page contains tables of azeotrope data for various binary and ternary mixtures of solvents. The data include the composition of a mixture by weight
Azeotrope_tables
Musical structure with two contrasting sections
Rounded binary is not to be confused with ternary form, also labeled ABA—the difference being that, in ternary form, the B section contrasts completely
Binary_form
Natural number
(unicode) X, x Greek prefix deca-/deka- Latin prefix deci- Binary 10102 Ternary 1013 Senary 146 Octal 128 Duodecimal A12 Hexadecimal A16 Chinese numeral
10
Continuous function that is not absolutely continuous
grow, it does indeed monotonically grow. It is also called the Cantor ternary function, the Lebesgue function, Lebesgue's singular function, the Cantor–Vitali
Cantor_function
Natural number
VI, vi, ↅ Greek prefix hexa-/hex- Latin prefix sexa-/sex- Binary 1102 Ternary 203 Senary 106 Octal 68 Duodecimal 612 Hexadecimal 616 Greek στ (or ΣΤ
6
Structure of a piece of music
first theme, we have a simple ternary form. Great arguments and misunderstanding can be generated by such terms as "ternary" and "binary," as a complex
Musical_form
Large language model with ternary weights
A 1.58-bit large language model (also known as a ternary LLM) is a type of large language model (LLM) designed to be computationally efficient. It achieves
1.58-bit_large_language_model
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
Natural number
Greek prefix di- Latin prefix duo-/bi- Old English prefix twi- Binary 102 Ternary 23 Senary 26 Octal 28 Duodecimal 212 Hexadecimal 216 Arabic, Kurdish, Persian
2
1998 esoteric programming language
every twelve addresses (the individual ternary digits will repeat every three or four addresses, so a group of ternary digits is guaranteed to repeat every
Malbolge
Finger-counting system
the fingers to represent more than two states (0 and 1); for instance, a ternary numeral system (base 3) could be used by having a fully raised finger represent
Finger_binary
System of naming taxonomic ranks below species
zoological nomenclature, a trinomen (pl. trinomina), trinominal name, or ternary name is the name of a subspecies. A trinomen is a name with three parts:
Trinomial_nomenclature
Musical metre of three beats
Triple metre (US: triple meter; also known as triple time) is a musical metre characterised by a primary division of 3 beats to the bar, usually indicated
Triple_metre
Acid that contains oxygen
An oxyacid, oxoacid, or ternary acid is an acid that contains oxygen. Specifically, it is a compound that contains hydrogen, oxygen, and at least one
Oxyacid
Number of digits needed to express a number in a particular base
climbs to infinity. One result of the relative economy of base 3 is that ternary search trees offer an efficient strategy for retrieving elements of a database
Optimal_radix_choice
Unit of quantum information
third root of unity. Consider the subgroup P 3 {\displaystyle P_{3}} of ternary Pauli gates with two generators X = | 1 ⟩ ⟨ 0 | + | 2 ⟩ ⟨ 1 | + | 0 ⟩ ⟨
Qutrit
Natural number
notation) Greek prefix tetra- Latin prefix quadri-/quadr- Binary 1002 Ternary 113 Senary 46 Octal 48 Duodecimal 412 Hexadecimal 416 Armenian Դ Arabic
4
Ternary relation analogous to a binary equivalence relation
In mathematics, a ternary equivalence relation is a kind of ternary relation analogous to a binary equivalence relation. A ternary equivalence relation
Ternary_equivalence_relation
Type of computer memory
type of CAM and uses data search words consisting entirely of 1s and 0s. Ternary CAM (TCAM) allows a third matching state of X or don't care for one or
Content-addressable_memory
Natural number
applied to all numbers from 64 to 69). In computing, 69 equates to 2120 in ternary (base-3); 153 in senary (base-6); and 59 in duodecimal (base-12). Visually
69_(number)
Natural number
vii Greek prefix hepta-/hept- Latin prefix septua-/sept- Binary 1112 Ternary 213 Senary 116 Octal 78 Duodecimal 712 Hexadecimal 716 Greek numeral Z
7
Formula for number of orbits of a group action
rooted ternary trees consists of rooted trees where every node (or non-leaf vertex) has exactly three children (leaves or subtrees). Small ternary trees
Pólya_enumeration_theorem
Experimental Soviet ternary computer
Setun-70 was an experimental Soviet ternary computer developed at Moscow State University (MSU) between 1967 and 1970 by Nikolay Brusentsov and Yevgeny
Setun-70
Natural number
representation ends with its ternary representation. 1002 is a number written in base of triangular numbers It is the ternary numeral system representation
1002_(number)
Graphic procedure in the geochemical interpretation of water-analyses
water sample or samples. The cations and anions are shown by separate ternary plots. The apexes of the cation plot are calcium, magnesium and sodium
Piper_diagram
1-DoF mechanism with 6 links and 7 joints
to connect two sides of the hexagon to form a six-bar linkage with two ternary links connected by one joint. This type of six-bar linkage is said to have
Six-bar_linkage
Serial bus specification
restart or exit. The HDR-TSP and HDR-TSL modes use one of three symbols as ternary digits (trits): A transition of both SDA and SCL (received within 12.8 ns
I3C_(bus)
Natural number
11 Divisors 1, 2, 11, 22 Greek numeral ΚΒ´ Roman numeral XXII, xxii Binary 101102 Ternary 2113 Senary 346 Octal 268 Duodecimal 1A12 Hexadecimal 1616
22_(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
Natural number
Roman numeral IX, ix Greek prefix ennea- Latin prefix nona- Binary 10012 Ternary 1003 Senary 136 Octal 118 Duodecimal 912 Hexadecimal 916 Amharic ፱ Arabic
9
TERNAC is an emulation written in FORTRAN of a ternary computer on a binary machine, a Burroughs B1700. It was implemented in 1973 at State University
Ternac
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
Natural number
Retrieved 11 November 2012. Ono, Ken; K Soundararajan (1997). "Ramanujan's ternary quadratic forms" (PDF). Inventiones Mathematicae. 130 (3): 415–454. Bibcode:1997InMat
2000_(number)
distillation processes. Residue curve maps are typically used for examining ternary mixtures which can't be easily separated by distillation because of azeotropic
Residue_curve
Natural number
Classification. 11A25, 11Y70, 11Y16. Helfgott, Harald Andres (2014). "The ternary Goldbach problem" (PDF). In Jang, Sun Young (ed.). Seoul International
5
generalization of the associative law to n-ary operations. A ternary operation is ternary associative if one has always ( a b c ) d e = a ( b c d ) e =
N-ary_associativity
Group of three musicians
performers or three musical parts in larger works, the middle section of a ternary form (so named because of the 17th-century practice of scoring the contrasting
Trio_(music)
Whole number
"oh" (/oʊ/) Ordinal Zeroth, noughth, 0th Latin prefix nulli- Binary 02 Ternary 03 Senary 06 Octal 08 Duodecimal 012 Hexadecimal 016 Arabic, Kurdish, Persian
0
Proportion of a constituent in a mixture
as the ratio of partial pressure to total pressure of the mixture In a ternary mixture one can express mole fractions of a component as functions of other
Mole_fraction
Number, approximately 3.14
100010001000010110100011... (see OEIS: A004601) The first 36 digits in ternary (base 3) are 10.010211012222010211002111110221222220... (see OEIS: A004602)
Pi
the Song and Trio form is often referred as Compound Ternary form. This is where one of the Ternary form sections can be subdivided into two subsections
Song-and-trio
Natural number
2, 3, 6, 7, 14, 21, 42 Greek numeral ΜΒ´ Roman numeral XLII, xlii Binary 1010102 Ternary 11203 Senary 1106 Octal 528 Duodecimal 3612 Hexadecimal 2A16
42_(number)
Natural number
Divisors 1, 2, 4, 7, 14, 28 Greek numeral ΚΗ´ Roman numeral XXVIII, xxviii Binary 111002 Ternary 10013 Senary 446 Octal 348 Duodecimal 2412 Hexadecimal 1C16
28_(number)
Priority queue data structure
nodes have d children instead of 2. Thus, a binary heap is a 2-heap, and a ternary heap is a 3-heap. According to Tarjan and Jensen et al., d-ary heaps were
D-ary_heap
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
Natural number
}{\mathrm {M} }}} Roman numeral X Binary 10010101000000101111100100000000002 Ternary 2212102202021220101013 Senary 43321424121446 Octal 1124027620008 Duodecimal
10,000,000,000
Number in base-10 numeral system
(base 10) Classical Information bit (binary) trit (ternary) dit (decimal) Quantum information qubit (binary) qutrit (ternary) qudit (d-dimensional) v t e
Decimal
4B3T, which stands for 4 (four) binary 3 (three) ternary, is a line encoding scheme used for ISDN PRI interface. 4B3T represents four binary bits using
4B3T
Natural number
2, 4, 8, 16, 32, 64 Greek numeral ΞΔ´ Roman numeral LXIV, lxiv Binary 10000002 Ternary 21013 Senary 1446 Octal 1008 Duodecimal 5412 Hexadecimal 4016
64_(number)
Natural number
Factorization 52 Divisors 1, 5, 25 Greek numeral ΚΕ´ Roman numeral XXV, xxv Binary 110012 Ternary 2213 Senary 416 Octal 318 Duodecimal 2112 Hexadecimal 1916
25_(number)
Unit of information in a quantum computer
(base 10) Classical Information bit (binary) trit (ternary) dit (decimal) Quantum information qubit (binary) qutrit (ternary) qudit (d-dimensional) v t e
Qudit
properties than the indirect band gap of silicon; it can be alloyed to ternary and quaternary compositions, with adjustable band gap width, allowing light
List of semiconductor materials
List_of_semiconductor_materials
Natural number
numeral ,ϚΡΟΔ´ Roman numeral VMCLXXIV, or VICLXXIV Binary 11000000111102 Ternary 221102003 Senary 443306 Octal 140368 Duodecimal 36A612 Hexadecimal 181E16
6174
Natural number
hexakósioi hexēkonta héx Latin prefix sescenti sexaginta sex Binary 10100110102 Ternary 2202003 Senary 30306 Octal 12328 Duodecimal 47612 Hexadecimal 29A16 Chinese
666_(number)
Ternary relation on points in the plane
In computational geometry, a CC system or counterclockwise system is a ternary relation pqr introduced by Donald Knuth to model the clockwise ordering
CC_system
Natural number
14th Divisors 1, 43 Greek numeral ΜΓ´ Roman numeral XLIII, xliii Binary 1010112 Ternary 11213 Senary 1116 Octal 538 Duodecimal 3712 Hexadecimal 2B16
43_(number)
Integer
polynomial is not constant, it is not a unit in F. Mathematics portal Balanced ternary For example, sin−1(x) is a notation for the arcsine function. Nathanson
−1
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
Natural number
Euler's totient function. 116! + 1 is a factorial prime. There are 116 ternary Lyndon words of length six, and 116 irreducible polynomials of degree six
116_(number)
1832 set of three solo piano pieces
polyrhythms. The piece is 85 measures long and in 6 4 meter. It is written in ternary form; after the primary theme, the secondary theme starts in measure 19
Nocturnes,_Op._9_(Chopin)
Mathematical operation with two operands
operation f {\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
Binary_operation
Natural number
50 Greek numeral Ν´ Roman numeral L, l Unicode symbol ↆ Binary 1100102 Ternary 12123 Senary 1226 Octal 628 Duodecimal 4212 Hexadecimal 3216 Armenian Ծ
50_(number)
Natural number
{\rho }{\mathrm {M} }}} Roman numeral M, m Binary 111101000010010000002 Ternary 12122102020013 Senary 332333446 Octal 36411008 Duodecimal 40285412 Hexadecimal
1,000,000
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