Operations On Sets
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Operations On Sets
Operation or Operations may refer to: Arts, entertainment and media * ''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), 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 Episodes * "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 * ''The Operation'' (1992–1998), a reality television series from TLC Business * Manufacturing operations, operation of a f ...
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Operation (game)
''Operation'' is a battery-operated game of physical skill that tests players' Eye–hand coordination, hand-eye coordination and fine motor skills. The game's prototype was invented in 1964 by University of Illinois industrial-design student John Spinello, who sold his rights to renowned toy designer Marvin Glass and Associates, Marvin Glass for $500 and the promise of a job upon graduation, which was not fulfilled. Initially produced by Milton Bradley Company, Milton Bradley in 1965, ''Operation'' is currently produced by Hasbro, with an estimated franchise worth $40 million. The game is a variant of the old-fashioned Wire loop game, electrified wire loop game popular at fairs. It consists of an "operating table", Lithography, lithographed with a comic likeness of a patient (nicknamed "Cavity Sam") with a large red lightbulb for his nose. On the surface are several openings, labeled with the names of fictional and humorous ailments, that contain plastic pieces. The general gamep ...
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Covert Operation
A covert operation or undercover operation is a military or police operation involving a covert agent or troops acting under an assumed cover to conceal the identity of the party responsible. US law Under US law, the Central Intelligence Agency (CIA) must lead covert operations unless the president finds that another agency should do so and informs Congress. The CIA's authority to conduct covert action comes from the National Security Act of 1947. President Ronald Reagan issued Executive Order 12333 titled ''United States Intelligence Activities'' in 1984. This order defined covert action as "special activities", both political and military, that the US Government could legally deny. The CIA was also designated as the sole authority under the 1991 Intelligence Authorization Act and in Title 50 of the United States Code Section 413(e). The CIA must have a "Presidential Finding" issued by the President in order to conduct these activities under the Hughes-Ryan amendment ...
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Operations Research
Operations research () (U.S. Air Force Specialty Code: Operations Analysis), often shortened to the initialism OR, is a branch of applied mathematics that deals with the development and application of analytical methods to improve management and decision-making. Although the term management science is sometimes used similarly, the two fields differ in their scope and emphasis. Employing techniques from other mathematical sciences, such as mathematical model, modeling, statistics, and mathematical optimization, optimization, operations research arrives at optimal or near-optimal solutions to decision-making problems. Because of its emphasis on practical applications, operations research has overlapped with many other disciplines, notably industrial engineering. Operations research is often concerned with determining the extreme values of some real-world objective: the Maxima and minima, maximum (of profit, performance, or yield) or minimum (of loss, risk, or cost). Originating in ...
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Modulo Operation
In computing and mathematics, the modulo operation returns the remainder or signed remainder of a Division (mathematics), division, after one number is divided by another, the latter being called the ''modular arithmetic, modulus'' of the operation. Given two positive numbers and , modulo (often abbreviated as ) is the remainder of the Euclidean division of by , where is the Division (mathematics), dividend and is the divisor. For example, the expression "5 mod 2" evaluates to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0, because 9 divided by 3 has a quotient of 3 and a remainder of 0. Although typically performed with and both being integers, many computing systems now allow other types of numeric operands. The range of values for an integer modulo operation of is 0 to . mod 1 is always 0. When exactly one of or is negative, the basic definition breaks down, and programming languages differ in how these valu ...
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Graph Operations
In the mathematical field of graph theory, graph operations are operations which produce new graphs from initial ones. They include both unary (one input) and binary (two input) operations. Unary operations Unary operations create a new graph from a single initial graph. Elementary operations Elementary operations or editing operations, which are also known as graph edit operations, create a new graph from one initial one by a simple local change, such as addition or deletion of a vertex or of an edge, merging and splitting of vertices, edge contraction, etc. The graph edit distance between a pair of graphs is the minimum number of elementary operations required to transform one graph into the other. Advanced operations Advanced operations create a new graph from an initial one by a complex change, such as: * transpose graph; * complement graph; * line graph; * graph minor; * graph rewriting; * power of graph; * dual graph; * medial graph; * quotient graph; * Y- ...
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Binary Operation
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 that maps every pair of elements of the set to an element of the set. Examples include the familiar arithmetic operations like addition, subtraction, multiplication, set operations like union, complement, intersection. Other examples are readily found in different areas of mathematics, such as vector addition, matrix multiplication, and conjugation in groups. A binary function that involves several sets is sometimes also called a ''binary operation''. For example, scalar multiplication of vector spaces takes a scalar and a vector to produce a vector, and scalar product takes two vectors to produce a scalar. Binary operations are the keystone of most structures that are studied in algebra, in parti ...
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Arity
In logic, mathematics, and computer science, arity () is the number of arguments or operands taken by a function, operation or relation. In mathematics, arity may also be called rank, but this word can have many other meanings. In logic and philosophy, arity may also be called adicity and degree. In linguistics, it is usually named valency. Examples In general, functions or operators with a given arity follow the naming conventions of ''n''-based numeral systems, such as binary and hexadecimal. A Latin prefix is combined with the -ary suffix. For example: * A nullary function takes no arguments. ** Example: f()=2 * A unary function takes one argument. ** Example: f(x)=2x * A binary function takes two arguments. ** Example: f(x,y)=2xy * A ternary function takes three arguments. ** Example: f(x,y,z)=2xyz * An ''n''-ary function takes ''n'' arguments. ** Example: f(x_1, x_2, \ldots, x_n)=2\prod_^n x_i Nullary A constant can be treated as the output of an operation o ...
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Operation (mathematics)
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. 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, 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 operatio ...
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Information Technology Operations
Data center management is the collection of tasks performed by those responsible for managing ongoing operation of a data center. This includes ''Business service management'' and planning for the future. Historically, "data center management" was seen as something performed by employees, with the help of tools collectively called #Data center infrastructure management, data center-infrastructure management (DCIM) tools. Both for in-house operation and outsourcing, service-level agreements must be managed to ensure data-availability. Competition Data center management is a growing major topic for a growing list of large companies who both compete and cooperate, including: Dell, Google, HP Inc., HP, IBM, Intel and Yahoo!, Yahoo. Hardware/software vendors who are willing to live with coopetition are working on projects such as "The Distributed Management Task Force" (DMTF) with a goal of learning to "more effectively manage mixed Linux, Microsoft Windows, Windows and cloud envir ...
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Inference
Inferences are steps in logical reasoning, moving from premises to logical consequences; etymologically, the word '' infer'' means to "carry forward". Inference is theoretically traditionally divided into deduction and induction, a distinction that in Europe dates at least to Aristotle (300s BC). Deduction is inference deriving logical conclusions from premises known or assumed to be true, with the laws of valid inference being studied in logic. Induction is inference from particular evidence to a universal conclusion. A third type of inference is sometimes distinguished, notably by Charles Sanders Peirce, contradistinguishing abduction from induction. Various fields study how inference is done in practice. Human inference (i.e. how humans draw conclusions) is traditionally studied within the fields of logic, argumentation studies, and cognitive psychology; artificial intelligence researchers develop automated inference systems to emulate human inference. Statist ...
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Sting Operation
In law enforcement, a sting operation is a deceptive operation designed to catch a person attempting to commit a crime. A typical sting will have an undercover law enforcement officer, detective, or co-operative member of the public play a role as criminal partner or potential victim and go along with a suspect's actions to gather evidence of the suspect's wrongdoing. Mass media journalists have used sting operations to record video and broadcast to expose criminal activity. Sting operations are common in many countries, such as the United States, but they are not permitted in some countries, such as Sweden. There are prohibitions on conducting certain types of sting operations, such as in the Philippines, where it is illegal for law enforcers to pose as drug dealers to apprehend buyers of illegal drugs. In countries like France, Germany, and Italy, sting operations are relatively rare. Examples * Police in Columbus, Ohio, used a bait car outfitted with surveillance techno ...
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Operations (military Staff)
Military operations is a concept and application of military science that involves planning the operations for the projected maneuvering forces' provisions, services, training, and administrative functions—to allow them to commence, insert, then egress from combat Combat (French language, French for ''fight'') is a purposeful violent Conflict (process), conflict between multiple combatants with the intent to harm the opposition. Combat may be armed (using weapons) or unarmed (Hand-to-hand combat, not usin .... The operations staff plays a major role in the projection of military forces in any wide spectrum of conflict; terrestrial, aerial, or naval warfare needed to achieve operational objectives in a theater of war. The general staff of military operations deals with the planning, process, collection, and analyzing of information. Its major function is responsible in the allocating of resources and determining time requirements. It is combined with other milit ...
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