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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 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 ...
Polish notation (PN), also known as normal Polish notation (NPN), [1] Łukasiewicz notation, Warsaw notation, Polish prefix notation or simply prefix notation, is a mathematical notation in which operators precede their operands, in contrast to the more common infix notation, in which operators are placed between operands, as well as reverse Polish notation (RPN), in which operators follow ...
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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.
The number of arguments or operands that a function, operation, or relation takes. In logic, it refers to the number of terms that a predicate has. assertion The principle, or axiom, that (A ∧ (A → B)) → B. [20] [21] Also called pseudo modus ponens. associativity