Composition algebras
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Composition or Compositions may refer to:


Arts and literature

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Composition (dance) Choreography is the art or practice of designing sequences of movements of physical bodies (or their depictions) in which motion or form or both are specified. ''Choreography'' may also refer to the design itself. A choreographer is one who cr ...
, practice and teaching of choreography *
Composition (language) The term composition (from Latin ''com-'' "with" and ''ponere'' "to place") as it refers to writing, can describe writers' decisions about, processes for designing, and sometimes the final product of, a document. In original use, it tended to desc ...
, in literature and rhetoric, producing a work in spoken tradition and written discourse, to include visuals and digital space *
Composition (music) Musical composition can refer to an original piece or work of music, either vocal or instrumental, the structure of a musical piece or to the process of creating or writing a new piece of music. People who create new compositions are called ...
, an original piece of music and its creation *
Composition (visual arts) The term composition means "putting together". It can be thought of as the organization of the elements of art according to the principles of art. Composition can apply to any work of art, from music through writing and into photography, that ...
, the plan, placement or arrangement of the elements of art in a work * ''Composition'' (Peeters), a 1921 painting by Jozef Peeters *
Composition studies Composition studies (also referred to as composition and rhetoric, rhetoric and composition, writing studies, or simply composition) is the professional field of writing, research, and instruction, focusing especially on writing at the college leve ...
, the professional field of writing instruction * ''Compositions'' (album), an album by Anita Baker *
Digital compositing Digital compositing is the process of digitally assembling multiple images to make a final image, typically for print, motion pictures or screen display. It is the digital analogue of optical film compositing. Mathematics The basic operation us ...
, the practice of digitally piecing together a video


Computer science

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Function composition (computer science) In computer science, function composition is an act or mechanism to combine simple functions to build more complicated ones. Like the usual composition of functions in mathematics, the result of each function is passed as the argument of the ne ...
, an act or mechanism to combine simple functions to build more complicated ones *
Object composition In computer science, object composition and object aggregation are closely related ways to combine objects or data types into more complex ones. In conversation the distinction between composition and aggregation is often ignored. Common kind ...
, combining simpler data types into more complex data types, or function calls into calling functions


History

* Composition of 1867, Austro-Hungarian/German history, (''Ausgleich'') *
Committee for Compounding with Delinquents In 1643, near the start of the English Civil War, Parliament set up two committees the Sequestration Committee which confiscated the estates of the Royalists who fought against Parliament, and the Committee for Compounding with Delinquents which a ...
, English Civil War *Composition in the
Tudor conquest of Ireland The Tudor conquest (or reconquest) of Ireland took place under the Tudor dynasty, which held the Kingdom of England during the 16th century. Following a failed rebellion against the crown by Silken Thomas, the Earl of Kildare, in the 1530s, ...
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Composition of Connacht The Composition of Connacht, or Composition of Connaught and Thomond, was a 1585 agreement between, on the one hand, the Gaelic and Gaelicised chiefs of Connacht and Thomond and, on the other hand, the English Dublin Castle administration of t ...


Mathematics

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Composition (combinatorics) In mathematics, a composition of an integer ''n'' is a way of writing ''n'' as the sum of a sequence of (strictly) positive integers. Two sequences that differ in the order of their terms define different compositions of their sum, while they are ...
, a way of writing a positive integer as a sum of positive integers *
Composition algebra In mathematics, a composition algebra over a field is a not necessarily associative algebra over together with a nondegenerate quadratic form that satisfies :N(xy) = N(x)N(y) for all and in . A composition algebra includes an involution ...
, an algebra over a field with composing norm: N(x y) = N(x) N(y) *
Function composition In mathematics, function composition is an operation that takes two functions and , and produces a function such that . In this operation, the function is applied to the result of applying the function to . That is, the functions and ...
, an operation that takes functions and gives a single function as the result *
Composition of relations In the mathematics of binary relations, the composition of relations is the forming of a new binary relation from two given binary relations ''R'' and ''S''. In the calculus of relations, the composition of relations is called relative multiplica ...
, an operation that takes relations and gives a single relation as the result *
Binary function In mathematics, a binary function (also called bivariate function, or function of two variables) is a function that takes two inputs. Precisely stated, a function f is binary if there exists sets X, Y, Z such that :\,f \colon X \times Y \righta ...
or law of composition


Other uses

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Composition (fine) Compounding is a legal procedure whereby a criminal or delinquent avoids prosecution in a court of law, potentially leading to the confiscation of his estate or some other punishment, in exchange for his payment to the authorities of a financial pen ...
, in legal terminology, a fine accepted in exchange to not prosecute *
Composition (objects) Compositional objects are wholes instantiated by collections of parts. If an ontology wishes to permit the inclusion of compositional objects it must define which collections of objects are to be considered parts composing a whole. Mereology, the ...
, in philosophy, the relationship between a whole and its parts *
Chemical composition A chemical composition specifies the identity, arrangement, and ratio of the elements making up a compound. Chemical formulas can be used to describe the relative amounts of elements present in a compound. For example, the chemical formula for ...
, the relative amounts of elements that constitute a substance, or the relative amount of substances that constitute a mixture *
Food composition Food composition data (FCD) are detailed sets of information on the nutritionally important components of foods and provide values for energy and nutrients including protein, carbohydrates, fat, vitamins and minerals and for other important food com ...


See also

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Compo (disambiguation) Compo may refer to: * Demoscene compo, a competition involving multimedia "demo" programs * Compo Simmonite, a character from the British TV series ''Last of the Summer Wine'', played by Bill Owen * Slang for British army field rations * Short ...
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Component (disambiguation) Circuit Component may refer to: •Are devices that perform functions when they are connected in a circuit.   In engineering, science, and technology Generic systems *System components, an entity with discrete structure, such as an assemb ...
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Compose key A compose key (sometimes called multi key) is a key on a computer keyboard that indicates that the following (usually 2 or more) keystrokes trigger the insertion of an alternate character, typically a precomposed character or a symbol. For inst ...
, a key on a computer keyboard *
Compositing window manager A compositing window manager, or compositor, is a window manager that provides applications with an off-screen buffer for each window. The window manager composites the window buffers into an image representing the screen and writes the result ...
a component of a computer's graphical user interface that draws windows and/or their borders *
Composition doll A composition doll is a doll made partially or wholly out of composition, a composite material composed of sawdust, glue, and other materials such as cornstarch, resin and wood flour. The first composition dolls were made in the 19th century. C ...
, a doll made of a hatdog composite material *
Composition ornament Composition ornament ("compo") is a mouldable thermoplastic compound, consisting of powdered chalk mixed with collagen (hide glue), resin (pine rosin) and linseed oil; worked either by hand or more usually pressed into moulds to produce decorative ...
or "compo", moulded resin mixture used to form decorative mouldings, particularly for picture frames *
Composition roller A composition roller is a tool used in letterpress printing to apply ink to a bed of type in a printing press. It consists of a cylinder made of a substance known as "roller composition" or simply "composition", a mixture of glue and sugar (in t ...
, cast from a hide glue and molasses used in brayers and inking rollers for letterpress and other relief printing *
Compound (disambiguation) Compound may refer to: Architecture and built environments * Compound (enclosure), a cluster of buildings having a shared purpose, usually inside a fence or wall ** Compound (fortification), a version of the above fortified with defensive stru ...
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Decomposition (disambiguation) Biology and ecology Decomposition is the process through which organic matter is broken down into simpler molecules. Decomposition, decompose may also refer to: Chemistry * Chemical decomposition or analysis, in chemistry, is the fragmentation ...
* Fallacy of composition, logical fallacy in which one assumes that a whole has a property solely because its various parts have that property * Food composition data, information on nutritionally important components of food {{Disambiguation