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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 ...
The rank of an operation is called its precedence, and an operation with a higher precedence is performed before operations with lower precedence. Calculators generally perform operations with the same precedence from left to right, [ 1 ] but some programming languages and calculators adopt different conventions.
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.
This set U is sometimes called the universe of discourse. × (multiplication sign) See also × in § Arithmetic operators. 1. Denotes the Cartesian product of two sets. That is, is the set formed by all pairs of an element of A and an element of B. 2.
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 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 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.