Ternary operation, the Glossary
In mathematics, a ternary operation is an n-ary operation with n.[1]
Table of Contents
37 relations: American Mathematical Society, Arity, Array slicing, Binary relation, Boolean algebra, Bulletin of the American Mathematical Society, C syntax, Composition of relations, Computer science, Converse relation, Equipollence (geometry), Euclidean plane, Euclidean vector, Exclusive or, Function (mathematics), Heap (mathematics), Icon (programming language), Integer, Majority function, Mathematics, Median algebra, Multiply–accumulate operation, OCaml, Operation (mathematics), Operator (computer programming), Parallelogram, Parameter (computer programming), Parity (mathematics), Planar ternary ring, Programming language, Projective geometry, Projective harmonic conjugate, Python (programming language), Set (mathematics), SQL, Ternary conditional operator, Ternary equivalence relation.
- Ternary operations
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
See Ternary operation and American Mathematical Society
Arity
In logic, mathematics, and computer science, arity is the number of arguments or operands taken by a function, operation or relation.
See Ternary operation and Arity
Array slicing
In computer programming, array slicing is an operation that extracts a subset of elements from an array and packages them as another array, possibly in a different dimension from the original.
See Ternary operation and Array slicing
Binary relation
In mathematics, a binary relation associates elements of one set, called the domain, with elements of another set, called the codomain.
See Ternary operation and Binary relation
Boolean algebra
In mathematics and mathematical logic, Boolean algebra is a branch of algebra.
See Ternary operation and Boolean algebra
Bulletin of the American Mathematical Society
The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.
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C syntax
The syntax of the C programming language is the set of rules governing writing of software in C. It is designed to allow for programs that are extremely terse, have a close relationship with the resulting object code, and yet provide relatively high-level data abstraction.
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Composition of relations
In the mathematics of binary relations, the composition of relations is the forming of a new binary relation from two given binary relations R and S. In the calculus of relations, the composition of relations is called relative multiplication, and its result is called a relative product.
See Ternary operation and Composition of relations
Computer science
Computer science is the study of computation, information, and automation.
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Converse relation
In mathematics, the converse of a binary relation is the relation that occurs when the order of the elements is switched in the relation.
See Ternary operation and Converse relation
Equipollence (geometry)
In Euclidean geometry, equipollence is a binary relation between directed line segments.
See Ternary operation and Equipollence (geometry)
Euclidean plane
In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted \textbf^2 or \mathbb^2.
See Ternary operation and Euclidean plane
Euclidean vector
In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude (or length) and direction.
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Exclusive or
Exclusive or, exclusive disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional.
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Function (mathematics)
In mathematics, a function from a set to a set assigns to each element of exactly one element of.
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Heap (mathematics)
In abstract algebra, a semiheap is an algebraic structure consisting of a non-empty set H with a ternary operation denoted \in H that satisfies a modified associativity property: \forall a,b,c,d,e \in H \quad a,b,c,d,. Ternary operation and Heap (mathematics) are ternary operations.
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Icon (programming language)
Icon is a very high-level programming language based on the concept of "goal-directed execution" in which code returns a "success" along with valid values, or a "failure", indicating that there is no valid data to return.
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Integer
An integer is the number zero (0), a positive natural number (1, 2, 3,...), or the negation of a positive natural number (−1, −2, −3,...). The negations or additive inverses of the positive natural numbers are referred to as negative integers.
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Majority function
In Boolean logic, the majority function (also called the median operator) is the Boolean function that evaluates to false when half or more arguments are false and true otherwise, i.e. the value of the function equals the value of the majority of the inputs.
See Ternary operation and Majority function
Mathematics
Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
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In mathematics, a median algebra is a set with a ternary operation \langle x,y,z \rangle satisfying a set of axioms which generalise the notions of medians of triples of real numbers and of the Boolean majority function. Ternary operation and median algebra are ternary operations.
See Ternary operation and Median algebra
Multiply–accumulate operation
In computing, especially digital signal processing, the multiply–accumulate (MAC) or multiply-add (MAD) operation is a common step that computes the product of two numbers and adds that product to an accumulator.
See Ternary operation and Multiply–accumulate operation
OCaml
OCaml (formerly Objective Caml) is a general-purpose, high-level, multi-paradigm programming language which extends the Caml dialect of ML with object-oriented features.
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Operation (mathematics)
In mathematics, an operation is a function which takes zero or more input values (also called "operands" or "arguments") to a well-defined output value.
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Operator (computer programming)
In computer programming, operators are constructs defined within programming languages which behave generally like functions, but which differ syntactically or semantically.
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Parallelogram
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.
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Parameter (computer programming)
In computer programming, a parameter or a formal argument is a special kind of variable used in a subroutine to refer to one of the pieces of data provided as input to the subroutine.
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Parity (mathematics)
In mathematics, parity is the property of an integer of whether it is even or odd.
See Ternary operation and Parity (mathematics)
Planar ternary ring
In mathematics, an algebraic structure (R,T) consisting of a non-empty set R and a ternary mapping T \colon R^3 \to R \, may be called a ternary system.
See Ternary operation and Planar ternary ring
Programming language
A programming language is a system of notation for writing computer programs.
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Projective geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations.
See Ternary operation and Projective geometry
Projective harmonic conjugate
In projective geometry, the harmonic conjugate point of a point on the real projective line with respect to two other points is defined by the following construction: The point does not depend on what point is taken initially, nor upon what line through is used to find and.
See Ternary operation and Projective harmonic conjugate
Python (programming language)
Python is a high-level, general-purpose programming language.
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Set (mathematics)
In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
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SQL
Structured Query Language (SQL) (pronounced S-Q-L; historically "sequel") is a domain-specific language used to manage data, especially in a relational database management system (RDBMS).
Ternary conditional operator
In computer programming, the ternary conditional operator is a ternary operator that is part of the syntax for basic conditional expressions in several programming languages. Ternary operation and ternary conditional operator are ternary operations.
See Ternary operation and Ternary conditional operator
Ternary equivalence relation
In mathematics, a ternary equivalence relation is a kind of ternary relation analogous to a binary equivalence relation.
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See also
Ternary operations
- Conditioned disjunction
- Heap (mathematics)
- Massey product
- Median algebra
- Ternary commutator
- Ternary conditional operator
- Ternary operation
- Triple product
References
[1] https://en.wikipedia.org/wiki/Ternary_operation
Also known as Ternary operator, Ternary operators, Tertiary operator, Trinary function, Trinary operation.