In mathematics , an operation is a function from a set to itself. For example, an operation on real numbers will take in real numbers and return a real number. 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.
32-599: (Redirected from Operations ) [REDACTED] Look up operation in Wiktionary, the free dictionary. Operation or Operations may refer to: Arts, entertainment and media [ edit ] Operation (game) , a battery-operated board game that challenges dexterity Operation (music) , a term used in musical set theory Operations (magazine) , Multi-Man Publishing's house organ for articles and discussion about its wargaming products The Operation (film) ,
64-608: A 1973 British television film The Operation (1990), a crime, drama, TV movie starring Joe Penny , Lisa Hartman, and Jason Beghe The Operation M.D. , formerly The Operation, a Canadian garage rock band "Operation", a song by Relient K from The Creepy EP , 2001 Television [ edit ] Episodes [ edit ] "The Operation", Sky Dancers episode 27 (1996) "The Operation", The Golden Girls season 1, episode 18 (1986) "The Operation", You're Only Young Twice (1997) series 2, episode 8 (1978) Shows [ edit ] The Operation (1992–1998),
96-570: A function. There are two common types of operations: unary and binary . Unary operations involve only one value, such as negation and trigonometric functions . Binary operations, on the other hand, take two values, and include addition , subtraction , multiplication , division , and exponentiation . Operations can involve mathematical objects other than numbers. The logical values true and false can be combined using logic operations , such as and , or, and not . Vectors can be added and subtracted. Rotations can be combined using
128-435: A military action (usually in a military campaign) using deployed forces Black operation , or "Black op", an operation that may be outside of standard military protocol or against the law Clandestine operation , an intelligence or military operation carried out so that the operation goes unnoticed Combined operations , operations by forces of two or more allied nations Covert operation , an operation which conceals
160-418: A person committing a crime, by means of deception Science and technology [ edit ] Inference , a step in reasoning Information technology operations Operation (mathematics) , a calculation from zero or more input values (called operands) to an output value Arity , number of arguments or operands that the function takes Binary operation , calculation that combines two elements of
192-418: A person committing a crime, by means of deception Science and technology [ edit ] Inference , a step in reasoning Information technology operations Operation (mathematics) , a calculation from zero or more input values (called operands) to an output value Arity , number of arguments or operands that the function takes Binary operation , calculation that combines two elements of
224-403: A reality television series from TLC Business [ edit ] Business operations , the harvesting of value from assets owned by a business Manufacturing operations , operation of a facility Operations management , an area of management concerned with designing and controlling the process of production Military and law enforcement [ edit ] Military operation ,
256-458: A scalar. An n -ary operation ω : X → X is called an internal operation . An n -ary operation ω : X × S × X → X where 0 ≤ i < n is called an external operation by the scalar set or operator set S . In particular for a binary operation, ω : S × X → X is called a left-external operation by S , and ω : X × S → X is called a right-external operation by S . An example of an internal operation
288-478: A song by Relient K from The Creepy EP , 2001 Television [ edit ] Episodes [ edit ] "The Operation", Sky Dancers episode 27 (1996) "The Operation", The Golden Girls season 1, episode 18 (1986) "The Operation", You're Only Young Twice (1997) series 2, episode 8 (1978) Shows [ edit ] The Operation (1992–1998), a reality television series from TLC Business [ edit ] Business operations ,
320-493: A term or name Operation of law , a legal term that indicates that a right or liability has been created for a party See also [ edit ] List of military operations OP (disambiguation) Operations support system , used in the telecommunications industry Operations room , the tactical center providing processed information for command and control of an area of operations Operative (disambiguation) Operator (disambiguation) Topics referred to by
352-493: A term or name Operation of law , a legal term that indicates that a right or liability has been created for a party See also [ edit ] List of military operations OP (disambiguation) Operations support system , used in the telecommunications industry Operations room , the tactical center providing processed information for command and control of an area of operations Operative (disambiguation) Operator (disambiguation) Topics referred to by
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#1732766137287384-412: A term used in musical set theory Operations (magazine) , Multi-Man Publishing's house organ for articles and discussion about its wargaming products The Operation (film) , a 1973 British television film The Operation (1990), a crime, drama, TV movie starring Joe Penny , Lisa Hartman, and Jason Beghe The Operation M.D. , formerly The Operation, a Canadian garage rock band "Operation",
416-450: Is total on its n input domains and unique on its output domain. An n -ary partial operation ω from X to X is a partial function ω : X → X . An n -ary partial operation can also be viewed as an ( n + 1) -ary relation that is unique on its output domain. The above describes what is usually called a finitary operation , referring to the finite number of operands (the value n ). There are obvious extensions where
448-415: Is a constant . The mixed product is an example of an operation of arity 3, also called ternary operation . Generally, the arity is taken to be finite. However, infinitary operations are sometimes considered, in which case the "usual" operations of finite arity are called finitary operations . A partial operation is defined similarly to an operation, but with a partial function in place of
480-408: Is called the codomain of the operation, and the fixed non-negative integer n (the number of operands) is called the arity of the operation. Thus a unary operation has arity one, and a binary operation has arity two. An operation of arity zero, called a nullary operation, is simply an element of the codomain Y . An n -ary operation can also be viewed as an ( n + 1) -ary relation that
512-412: Is defined form a set called its domain of definition or active domain . The set which contains the values produced is called the codomain , but the set of actual values attained by the operation is its codomain of definition, active codomain, image or range . For example, in the real numbers, the squaring operation only produces non-negative numbers; the codomain is the set of real numbers, but
544-441: Is different from Wikidata All article disambiguation pages All disambiguation pages operation [REDACTED] Look up operation in Wiktionary, the free dictionary. Operation or Operations may refer to: Arts, entertainment and media [ edit ] Operation (game) , a battery-operated board game that challenges dexterity Operation (music) ,
576-440: Is different from Wikidata All article disambiguation pages All disambiguation pages Operation (mathematics) 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 arity 1), such as additive inverse and multiplicative inverse . An operation of arity zero, or nullary operation ,
608-502: The function composition operation, performing the first rotation and then the second. Operations on sets include the binary operations union and intersection and the unary operation of complementation . Operations on functions include composition and convolution . Operations may not be defined for every possible value of its domain . For example, in the real numbers one cannot divide by zero or take square roots of negative numbers. The values for which an operation
640-467: The arity is taken to be an infinite ordinal or cardinal , or even an arbitrary set indexing the operands. Often, the use of the term operation implies that the domain of the function includes a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain), although this is by no means universal, as in the case of dot product , where vectors are multiplied and result in
672-426: The control of a rail system Scientific operation Surgical operation , or surgery, in medicine Unit operation , a basic step in a chemical engineering process Other uses [ edit ] Anomalous operation , in parapsychology, a term describing a broad category of purported paranormal effects Operation, a word which represents a grammatical relation (i.e., function) or instruction, rather than
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#1732766137287704-426: The control of a rail system Scientific operation Surgical operation , or surgery, in medicine Unit operation , a basic step in a chemical engineering process Other uses [ edit ] Anomalous operation , in parapsychology, a term describing a broad category of purported paranormal effects Operation, a word which represents a grammatical relation (i.e., function) or instruction, rather than
736-490: The harvesting of value from assets owned by a business Manufacturing operations , operation of a facility Operations management , an area of management concerned with designing and controlling the process of production Military and law enforcement [ edit ] Military operation , a military action (usually in a military campaign) using deployed forces Black operation , or "Black op", an operation that may be outside of standard military protocol or against
768-399: The identity of the sponsor Psychological operations , an operation consisting of psychological manipulations, tactics, and warfare Special operations , military operations that are unconventional Operations (J3) , third level of Nation Level Command Structure Operations (military staff) , staff involved in planning operations Sting operation , an operation designed to catch
800-650: The law Clandestine operation , an intelligence or military operation carried out so that the operation goes unnoticed Combined operations , operations by forces of two or more allied nations Covert operation , an operation which conceals the identity of the sponsor Psychological operations , an operation consisting of psychological manipulations, tactics, and warfare Special operations , military operations that are unconventional Operations (J3) , third level of Nation Level Command Structure Operations (military staff) , staff involved in planning operations Sting operation , an operation designed to catch
832-400: The operands and result, but one switches to "addition operator" (rarely "operator of addition"), when focusing on the process, or from the more symbolic viewpoint, the function +: X × X → X (where X is a set such as the set of real numbers). An n -ary operation ω on a set X is a function ω : X → X . The set X is called the domain of the operation, the output set
864-508: The range is the non-negative numbers. Operations can involve dissimilar objects: a vector can be multiplied by a scalar to form another vector (an operation known as scalar multiplication ), and the inner product operation on two vectors produces a quantity that is scalar. An operation may or may not have certain properties, for example it may be associative , commutative , anticommutative , idempotent , and so on. The values combined are called operands , arguments , or inputs , and
896-415: The same term [REDACTED] This disambiguation page lists articles associated with the title Operation . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Operation&oldid=1235580042 " Category : Disambiguation pages Hidden categories: Short description
928-415: The same term [REDACTED] This disambiguation page lists articles associated with the title Operation . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Operation&oldid=1235580042 " Category : Disambiguation pages Hidden categories: Short description
960-456: The set to produce another element of the set Graph operations , produce new graphs from initial ones Modulo operation , operation finds the remainder after division of one number by another Operations research , in British usage, application of advanced analytical methods to make better decisions Unary operation , an operation with only one operand Rail transport operations ,
992-401: The set to produce another element of the set Graph operations , produce new graphs from initial ones Modulo operation , operation finds the remainder after division of one number by another Operations research , in British usage, application of advanced analytical methods to make better decisions Unary operation , an operation with only one operand Rail transport operations ,
Operation - Misplaced Pages Continue
1024-446: The value produced is called the value , result , or output . Operations can have fewer or more than two inputs (including the case of zero input and infinitely many inputs ). An operator is similar to an operation in that it refers to the symbol or the process used to denote the operation, hence their point of view is different. For instance, one often speaks of "the operation of addition" or "the addition operation", when focusing on
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