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...[generalization]] of the [[associative law]] to [[arity|{{math|''n''}}-ary operations]]. A [[ternary operation]] is '''ternary associative''' if one has always ...

In [[mathematical physics]], the '''ternary commutator''' is an additional [[ternary operation]] on a [[triple system]] defined by Also called the '''ternutator''' or '''alternating ternary sum''', it is a special case of the [[n-commutator|''n''-commutator]] for ' ...

:[[Image:Ternary tree.png|right|thumb|A simple ternary tree of size 10 and height 2.]] In [[computer science]], a '''ternary tree''' is a [[tree data structure]] in which each node has '''at most thre ...

In [[mathematics]], a '''median algebra''' is a set with a [[ternary operation]] <math>\langle x,y,z \rangle</math> satisfying a set of axioms w ...hoff | first1=Garrett | authorlink=Garrett Birkhoff | last2=Kiss | title=A ternary operation in distributive lattices | journal=[[Bulletin of the American Mat ...

The easiest axiom to generalize is the associative law. Ternary associativity is the polynomial identity {{nowrap|1=(''abc'')''de'' = ''a'' ..., and likewise {{nowrap|''xa'' {{=}} ''b''}} has a unique solution. In the ternary case we generalize this to {{nowrap|''abx'' {{=}} ''c''}}, {{nowrap|''axb'' ...

In [[artificial intelligence]] and [[operations research]], a '''Weighted Constraint Satisfaction Problem''' ('''WCSP'''), ==Resolution of binary/ternary WCSPs== ...

...minor|minor]] of a matroid is another matroid formed by a sequence of two operations: deletion and contraction. In the case of points from a vector space, delet A matroid is representable over the ternary field GF(3) if and only if it does not have one or more of the following fo ...

! Decimal !! Binary !! Skew Binary !! Ternary ==Arithmetical operations== ...

...uantum state|mixed state]]s, into states that are conducive for performing operations that are difficult to simulate classically. ...l |last1=Prakash |first1=Shiroman |title=Magic state distillation with the ternary Golay code |journal=Proceedings of the Royal Society A: Mathematical, Physi ...

{{Short description|Ternary relation on points in the plane}} ...onal geometry]], a '''CC system''' or '''counterclockwise system''' is a [[ternary relation]] {{math|''pqr''}} introduced by [[Donald Knuth]] to model the clo ...

...s a variant of the [[binomial heap]] that supports constant-time insertion operations in the worst case, rather than [[amortized time]]. ...st once. This analogy is applied to the insertion operation by introducing ternary (skew) links, which link 3 trees together. This allows the insertion operat ...

* [[Ternary numeral system|Ternary]]: The base-three numeral system with 0, 1, and 2 as digits. ...casionally used today, mostly in situations that do not require arithmetic operations. ...

...t the [[computer hardware|hardware]] level (i.e. without programming these operations).<ref name="Malinovsky">{{cite book |last= Malinovsky |first=B.N. |title= T ...o the mentioned operations with functions are performed as unique computer operations with such codes on a "single" [[arithmetic logic unit|arithmetic unit]].<re ...

...1</sub>, and the binary function symbols +, −, ⋅, / ∈ ''F''₂. [[Ternary operation]]s and higher-arity functions are possible but uncommon in practi ==Operations with terms== ...

...xt{HECS},-)</math> has been defined by combining the negation and addition operations as ...age processing operations.<ref name="Rummelt11" /> [[Generalized balanced ternary]] (GBT) is based on a hierarchy of cells, where at every level the cells ar ...

...nd intersection operations, in a family of sets that is closed under these operations, automatically form a distributive lattice, and Birkhoff's representation t ...&nbsp;=&nbsp;60; both of these numbers are also divisors of 120. These two operations ∨ and ∧ satisfy the distributive law, in either of two equivalent forms: (' ...

...solving infeasibility in linear programs by constraint relaxation |journal=Operations Research Letters |date=February 1993 |volume=13 |issue=1 |pages=19–20 |doi= ...ating set|minimum-dominating-set]]-hard, even with homogeneous systems and ternary coefficients (in {−1,0,1}). ...

===Lattice operations=== (The same operations can be defined in the same way for any two sets of elements, not just docto ...

...inciple.svg|thumb|rSOC working principle in the electrolysis and fuel cell operations.|474x474px]] ...Kevin |title=Solid oxide fuel cell technology. Principles, performance and operations |last2=Goodenough |first2=John B. |year=2009 |isbn=978-1-84569-628-3 |pages ...

...illustration, let {{math|''n'' {{=}} (''w'',↝)}} be the nested word over a ternary alphabet with {{math|''w''{{=}}''abaabccca''}} and matching relation {{math The set of visibly pushdown languages is closed under the following operations:<ref name="AlurMadhu04" /> <ref name="AlurMadhu09" /> ...