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Composition
Composition or Compositions may refer to: Arts and literature * Composition (dance), practice and teaching of choreography *Composition (language), in literature and rhetoric, producing a work in spoken tradition and written discourse, to include visuals and digital space * Composition (music), an original piece of music and its creation *Composition (visual arts), the plan, placement or arrangement of the elements of art in a work * ''Composition'' (Peeters), a 1921 painting by Jozef Peeters *Composition studies, the professional field of writing instruction * ''Compositions'' (album), an album by Anita Baker *Digital compositing, the practice of digitally piecing together a video Computer science *Function composition (computer science), an act or mechanism to combine simple functions to build more complicated ones *Object composition, combining simpler data types into more complex data types, or function calls into calling functions History * Composition of 1867, Austro-Hungari ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 are composed to yield a function that maps in domain to in codomain . Intuitively, if is a function of , and is a function of , then is a function of . The resulting ''composite'' function is denoted , defined by for all in . The notation is read as " of ", " after ", " circle ", " round ", " about ", " composed with ", " following ", " then ", or " on ", or "the composition of and ". Intuitively, composing functions is a chaining process in which the output of function feeds the input of function . The composition of functions is a special case of the composition of relations, sometimes also denoted by \circ. As a result, all properties of composition of relations are true of composition of functions, such as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 composers. Composers of primarily songs are usually called songwriters; with songs, the person who writes lyrics for a song is the lyricist. In many cultures, including Western classical music, the act of composing typically includes the creation of music notation, such as a sheet music "score," which is then performed by the composer or by other musicians. In popular music and traditional music, songwriting may involve the creation of a basic outline of the song, called the lead sheet, which sets out the melody, lyrics and chord progression. In classical music, orchestration (choosing the instruments of a large music ensemble such as an orchestra which will play the different parts of music, such as the melody, accompaniment, countermel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 kinds of compositions are objects used in object-oriented programming, tagged unions, sets, sequences, and various graph structures. Object compositions relate to, but are not the same as, data structures. Object composition refers to the logical or conceptual structure of the information, not the implementation or physical data structure used to represent it. For example, a sequence differs from a set because (among other things) the order of the composed items matters for the former but not the latter. Data structures such as arrays, linked lists, hash tables, and many others can be used to implement either of them. Perhaps confusingly, some of the same terms are used for both data structures and composites. For example, "binary tree ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 considered to define the same partition of that number. Every integer has finitely many distinct compositions. Negative numbers do not have any compositions, but 0 has one composition, the empty sequence. Each positive integer ''n'' has distinct compositions. A weak composition of an integer ''n'' is similar to a composition of ''n'', but allowing terms of the sequence to be zero: it is a way of writing ''n'' as the sum of a sequence of non-negative integers. As a consequence every positive integer admits infinitely many weak compositions (if their length is not bounded). Adding a number of terms 0 to the ''end'' of a weak composition is usually not considered to define a different weak composition; in other words, weak compositions a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 next, and the result of the last one is the result of the whole. Programmers frequently apply functions to results of other functions, and almost all programming languages allow it. In some cases, the composition of functions is interesting as a function in its own right, to be used later. Such a function can always be defined but languages with first-class functions make it easier. The ability to easily compose functions encourages factoring (breaking apart) functions for maintainability and code reuse. More generally, big systems might be built by composing whole programs. Narrowly speaking, function composition applies to functions that operate on a finite amount of data, each step sequentially processing it before handing it to the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Decomposition (other)
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 of a chemical compound into elements or smaller compounds **Thermal decomposition, a chemical decomposition caused by heat Mathematics * Doob decomposition of an integrable, discrete-time stochastic process * Doob–Meyer decomposition of a continuous-time sub- or supermartingale *Hahn decomposition of a measure space * Hahn–Jordan decomposition of a signed measure *Helmholtz decomposition, decomposition of a vector field *Indecomposability (other) * Indecomposable continuum * Lebesgue's decomposition theorem, decomposition of a measure *Lie group decomposition, used to analyse the structure of Lie groups and associated objects * Manifold decomposition, decomposition of manifolds ** JSJ decomposition, or toral decomposition, a d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 level in the United States. The flagship national organization for this field is the Conference on College Composition and Communication. In most US and some Canadian colleges and universities, undergraduates take freshman or higher-level composition courses. To support the effective administration of these courses, the development of basic and applied research on the acquisition of writing skills, and an understanding of the history of the uses and transformation of writing systems and writing technologies (among many other subareas of research), over 70 American universities offer doctoral study in rhetoric and composition. These programs of study usually include composition pedagogical theory, linguistics, professional and technical co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 multiplication, and its result is called a relative product. Function composition is the special case of composition of relations where all relations involved are functions. The word uncle indicates a compound relation: for a person to be an uncle, he must be the brother of a parent. In algebraic logic it is said that the relation of Uncle (x U z) is the composition of relations "is a brother of" (x B y) and "is a parent of" (y P z). U = BP \quad \text \quad xByPz \text xUz. Beginning with Augustus De Morgan, the traditional form of reasoning by syllogism has been subsumed by relational logical expressions and their composition. Definition If R \subseteq X \times Y and S \subseteq Y \times Z are two binary relations, then their composition R; ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 components such as fibre. The data are presented in food composition databases (FCDBs). In the UK, FCD is listed in tables known as The Chemical Composition of Foods, McCance and Widdowson (1940)McCance RA & Widdowson EM (1940) The Chemical Composition of Foods, Medical Research Council Special Report Series No. 235. His Majesty’s Stationery Office: London. and in the first edition the authors stated that: ‘A knowledge of the chemical composition of foods is the first essential in the dietary treatment of disease or in any quantitative study of human nutrition’. This demonstrates the main reason for establishing FCD at that time. To this day, food composition studies remain central to nutrition research into the role of food componen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 is arranged using conscious thought. In the visual arts, composition is often used interchangeably with various terms such as ''design, form, visual ordering,'' or ''formal structure,'' depending on the context. In graphic design for press and desktop publishing, composition is commonly referred to as page layout. The composition of a picture is different from its subject (what is depicted), whether a moment from a story, a person or a place. Many subjects, for example Saint George and the Dragon, are often portrayed in art, but using a great range of compositions even though the two figures are typically the only ones shown. Elements of design The central visual element, known as ''element of design'', ''formal element'', or ''elemen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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. Composite dolls were marketed as unbreakable, compared to earlier more fragile dolls.Izen, Judith''Collector's Guide to Ideal Dolls: Identification and Value Guide'', 3rd Edition. Collector's Books, 2005. However, over time the composite material deteriorated, leaving many older dolls with small cracks and flaked surfaces. Some dolls were given a protective coating of varnish to delay deterioration. Background Many antique German and French bisque dolls from the 19th century combine a bisque head with a ball-jointed body made of composition. In 1877 French dollmaker Jumeau introduced the ''Bébé Incassable'', with a bisque head portraying a young girl and a fully articulated composition body. With realistic glass eyes and contemporary ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 study of relationships between parts and their wholes, provides specifications on how parts must relate to one another in order to compose a whole. Mereology of material objects Ontological disputes do not revolve around what particular matter is present; rather, the center of disputation is what objects can be said to be instantiated by a given collection of matter. The token objects posited by a given ontology may be classified as instances of one or more distinct object types. As the types of objects accepted proliferate, so do the possible tokens that a given collection of matter can be said to instantiate. This creates variations in size between ontologies, which serve as an arena for disputes among philosophers. The ontologies ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
