Abstraction is frequently applied in linguistics so as to allow phenomena of language to be analyzed at the desired level of detail.

Abstraction in mathematics is the process of extracting the underlying essence of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract descriptions of equivalent phenomena.

Abstraction is one of Jung's 57 definitions in Chapter XI of Psychological Types.

Abstraction is used to allow for vague answers to questions ( for example, answering " maybe " to a yes / no question ); this simplifies the problems making them amenable to automatic solutions.

Abstraction of computing processes is used in both the computer science and computer engineering disciplines and usually assumes discrete time paradigm.

Post-Painterly Abstraction is generally seen as continuing the Modernist dialectic of self-criticism.

On the other hand, for spatial and quality bitstream scalability ( i. e. the presence of a sub-bitstream with lower spatial resolution / quality than the main bitstream ), the NAL ( Network Abstraction Layer ) is removed from the bitstream when deriving the sub-bitstream.

His work is related to Tachisme, Abstract expressionism, and Lyrical Abstraction.

The Hard-edge painting style is related to Geometric abstraction, Op Art, Post-painterly Abstraction, and Color Field painting.

Californian art from the 1950s through the 1970s is a particular strength, with artwork by Sam Francis, Richard Diebenkorn, Ronald Davis, Larry Bell, Edward Ruscha, Kenneth Price, Charles Arnoldi, and Ed Moses, Color Field painting and Lyrical Abstraction are represented by Ronald Davis, Sam Francis, Kenneth Noland, Ronnie Landfield, Frank Stella, Helen Frankenthaler, and Kenneth Showell.

Abstraction is contrasted with concretism.

* Abstraction is a luxury that has been left to the present day to exploit.

* Abstraction is the way to the heart — it is not the heart itself.

ARS based programming is built on three principles: Abstraction, Reference and Synthesis.

* The first part of the name refers to the core of the language, which is nothing else but A ++, i. e. Abstraction + Reference + Synthesis.

Included with the eCos distribution is RedBoot, an open source application that uses the eCos Hardware Abstraction Layer to provide bootstrap firmware for embedded systems.

Abstraction in mathematics is the process of extracting the underlying essence of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalising it so that it has wider applications or matching among other abstract descriptions of equivalent phenomena.

Abstraction is an ongoing process in mathematics and the historical development of many mathematical topics exhibits a progression from the concrete to the abstract.

Although the term Color Field is associated with Clement Greenberg, Greenberg actually preferred to use the term Post-Painterly Abstraction.

Color Field painting is related to Post-painterly abstraction, Suprematism, Abstract Expressionism, Hard-edge painting and Lyrical Abstraction.

Another name for Tachism is Abstraction lyrique ( related to American Lyrical Abstraction ).

Abstraction is the thought process in which ideas are distanced from objects.

She did not go so far as to say, as was done on other occasions, that Abstraction as well as Impressionism were a Russian invention that had been discarded as unwanted by the people of the U.S.S.R.

In 1964 he was included in the exhibition Post-Painterly Abstraction curated by Clement Greenberg which traveled the country and helped to firmly establish Color Field painting as an important new movement in the contemporary art of the 1960s.

* Lyrical Abstraction, Tachisme of the 1940s and 1950s in Europe represented by artists such as Georges Mathieu, Hans Hartung, Nicolas de Staël and others.

* Fer, Briony, " Drawing Drawing: Agnes Martin's Infinity ", in: 3 X Abstraction, edited by Catherine de Zegher and Hendel Teicher, New Haven: Yale University Press and NY: The Drawing Center, 2005.

* Pollock, Griselda, " Agnes Dreaming: Dreaming Agnes ", in 3 X Abstraction, edited by Catherine de Zegher and Hendel Teicher, New Haven: Yale University Press and NY: The Drawing Center, 2005.

* Abstraction inversion: Not exposing implemented functionality required by users, so that they re-implement it using higher level functions

She was included in the 1964 Post-Painterly Abstraction exhibition curated by Clement Greenberg that introduced a newer generation of abstract painting that came to be known as Color Field.

It included a contribution by the American Situationist Jon Horelick, entitled " Beyond The Crisis Of Abstraction And The Abstract Break With That Crisis: The SI " and a Draft Manifesto of Antinational Situationist, signed by Jørgen Nash, Heimrad Prem, and Helmut Sturm, amongst others.

* 1952 in art-Jackson Pollock paints Blue Poles, and Number Twelve ( damaged by fire in the Governors Mansion, Albany, NY in 1961 ) an influential and large-scale, colorful stain painting that predicts both Color Field painting and Lyrical Abstraction

# Abstraction attempts to prove properties on a system by first simplifying it.

The trend away from painting in the late 20th century has been countered by various movements, for example the continuation of Minimal Art, Lyrical Abstraction, Pop Art, Op Art, New Realism, Photorealism, Neo Geo, Neo-expressionism, and Stuckism and various other important and influential painterly directions.

He became an enthusiastic advocate of this style and wrote many works according to its principles, among them Transformation ( 1957, for jazz ensemble ), Concertino ( 1959, for jazz quartet and orchestra ; one of its movements, Progression in Tempo, has sometimes been performed separately ), Abstraction ( 1959, for nine instruments ), the opera The Visitation ( 1966 ), and Variants on a Theme of Thelonious Monk ( 1960, for 13 instruments ), which was recorded by Ornette Coleman, Eric Dolphy, and Bill Evans.

*" America the Abstraction ", by J. P. Zmirak, ' January 13, 2003.

The modules are controlled by an internal language called the Direct Matrix Abstraction Program ( DMAP ).

# Abstraction: general rules that apply across different tasks ( or systems ) can be identified by comparing scenarios.

# Abstraction of the figure, particularly facial and bodily proportions, n. Inspired by " non-Western " arts, especially African, Oceanic, and Native American artworks.

* An Historical Account of Set-Theoretic Antinomies Caused by the Axiom of Abstraction: report by Justin T. Miller, Department of Mathematics, University of Arizona.

In Spring 2011, Francis M. Naumann Fine Art showed an exhibition, Inhabiting Abstraction, including important examples from every significant phase and development in the realm of abstraction that Crotti explored, as well as one-of-a-kind works such as " Parterre de reve " ( 1920 ), in which he framed his painting palette and then signed it.

During the later phases of Color Field painting ; as reflections of the zeitgeist of the late 1960s ( in which everything began to hang loose ) and the angst of the age ( with all of the uncertainties of the time ) merged with the gestalt of Post-Painterly Abstraction, producing Lyrical Abstraction which combined precision of the Color Field idiom with the malerische of the Abstract Expressionists.

Sociological Abstraction refers to the varying levels at which theoretical concepts can be understood.

While living in Paris, the two founded an artistic alternative to Abstraction and Surrealism, which they dubbed Artificialism.