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In the above example, '+' is the symbol for the operation called addition. The operand '3' is one of the inputs (quantities) followed by the addition operator, and the operand '6' is the other input necessary for the operation. The result of the operation is 9. (The number '9' is also called the sum of the augend 3 and the addend 6.)
An operation can take zero or more input values (also called "operands" or "arguments") to a well-defined output value. The number of operands is the arity of the operation. The most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication , and unary operations (i.e., operations of ...
Operands are objects upon which the operators operate. These include literal numbers and other constants as well as identifiers (names) which may represent anything from simple scalar variables to complex aggregated structures and objects, depending on the complexity and capability of the language at hand as well as usage context.
In logic, mathematics, and computer science, arity (/ ˈ ær ɪ t i / ⓘ) is the number of arguments or operands taken by a function, operation or relation. In mathematics, arity may also be called rank, [1] [2] but this word can have many other meanings. In logic and philosophy, arity may also be called adicity and degree.
In group and set theory, many algebraic structures are called commutative when certain operands satisfy the commutative property. In higher branches of mathematics, such as analysis and linear algebra the commutativity of well-known operations (such as addition and multiplication on real and complex numbers) is often used (or implicitly assumed ...
In this table, The first cell in each row gives a symbol; The second is a link to the article that details that symbol, using its Unicode standard name or common alias.
In mathematics, a binary operation or dyadic operation is a rule for combining two elements (called operands) to produce another element. More formally, a binary operation is an operation of arity two. More specifically, a binary operation on a set is a binary function whose two domains and the codomain are the same set.
The and of a set of operands is true if and only if all of its operands are true, i.e., is true if and only if is true and is true. An operand of a conjunction is a conjunct. [3] Beyond logic, the term "conjunction" also refers to similar concepts in other fields: