From such uncertainties, that characterize ongoing work, stems the unavailability of a definition of algorithm that suits both concrete ( in some sense ) and abstract usage of the term.

From all the different names of the same Celtic people in literature and inscriptions it is possible to abstract a continental Celtic segment, boio -.

From the 1990s onwards a growing number of European Improv groups have been set up specifically to explore the possibilities offered by the use of the abstract in improvised performance, including dance, movement, sound, music, mask work, lighting, and so on.

From the DWPI's abstract of the patent,

From the point of view of abstract algebra, congruence modulo is a congruence relation on the ring of integers, and arithmetic modulo occurs on the corresponding quotient ring.

From the 19th century, many large modern versions have been erected for various functions, and smaller Celtic crosses have become popular for individual grave monuments, usually featuring only abstract ornament, usually interlace.

From 1992 to 1997, Cinemax aired one movie each day of the week that would be centered around a certain genre, represented by various pictures that would play in a specialized feature presentation bumper before the start of the movie ; the symbols included: Comedy ( represented by an abstract face made up of various movie props, with the mouth open to look like it is laughing ), Suspense ( represented by a running man silhouette ), Premiere ( represented by an exclamation point caught in spotlights ), Horror ( represented by a skull ), Drama ( represented by abstract comedy & tragedy masks ), Vanguard ( represented by a globe ), Action ( represented by a machine gun ) and Classic ( represented by a classic movie-era couple embracing and kissing ).

From its beginning in topology, this idea became a dominant method in the mathematics of the second half of the twentieth century ; from the initial idea of homology as a topologically invariant relation on chains, the range of applications of homology and cohomology theories has spread out over geometry and abstract algebra.

From the 1960s she began to paint a series of abstract landscapes influenced by her time as a young girl in the west of Ireland, near the Burren in Co. Clare.

From a more abstract point of view, swarm behaviour is the collective motion of a large number of self-propelled entities.

From that exhibition of 1921 Metzinger continued to cultivate a style that was not only less obscure, but clearly took subject-matter as its starting point far more than an abstract play with flat pictorial elements.

From the point of view of abstract category theory the work of comonads of Beck was a summation of those ideas ; see Beck's monadicity theorem.

From the above examples, it's clear that we can think of rewriting systems in an abstract manner.

From the abstract: " This paper advances a ' pyramidal parametric ' prefiltering and sampling geometry which minimizes aliasing effects and assures continuity within and between target images.

From the mid-1950s to 1961, as he explored the medium of the woodcut, Judd progressively moved from figurative to increasingly abstract imagery, first carving organic rounded shapes, then moving on to the painstaking craftsmanship of straight lines and angles.

From 1955 through 1960 Erdman toured extensively as a solo artist throughout the U. S. Notable works from her repertory of that period include Changingwoman ( 1951 ) with a commissioned score by Henry Cowell including vocalizations by Erdman as she moved through a multi-colored abstract projected environment, Portrait of a Lady created to jazz recordings that were layered by John Cage into his eight track commissioned score, Dawn Song, a lyrical solo with commissioned score by Alan Hovhaness, Fearful Symmetry ( 1956 ) an allegory in six visions inspired by William Blake's poem, The Tyger to Ezra Laderman's Sonata for Violincello in which Erdman emerged from and interacted with a metal sculpture by Carlus Dyer, and Four Portraits from Duke Ellington's Shakespeare Album ( 1958 ), a suite of comic portrayals of Shakespearean heroines.

From the point of view of abstract algebra, the material is divided between symmetric function theory, field theory, Galois theory, and computational considerations including numerical analysis.

From such examples we can see why grammaticalisation is consistently unidirectional – from concrete to abstract meaning, not the other way around.

From this abstract definition, the following properties follow:

From field experiments she conducted in the 1970s with the Dani people of Papua New Guinea, Rosch concluded that when categorizing an everyday object or experience, people rely less on abstract definitions of categories than on a comparison of the given object or experience with what they deem to be the object or experience best representing a category.

In the above, α ′( t ) denotes the derivative of α at time t, the " direction α is pointing " at time t. From a more abstract viewpoint, this is the Fréchet derivative:

From a mystical perspective, payot were believed to separate the front part of the brain, used for abstract thought, from the back part of the brain that governs the body.

Lessons From Advogato ( video ) ( abstract ).

From the moment that Hino had first walked into the mission to ask for a job, any job -- his qualifications neatly written on a piece of paper in a precise hand -- he had been ready to become a Christian.

From about 1955 he started to work on sheaf theory and homological algebra, producing the influential " Tôhoku paper " ( Sur quelques points d ' algèbre homologique, published in 1957 ) where he introduced Abelian categories and applied their theory to show that sheaf cohomology can be defined as certain derived functors in this context.

From now about 60 % support structure and 40 % combat operational capability, it is to be 40 % support structure and 60 % combat operational capability, i. e. more combat soldiers and fewer ' paper '- soldiers.

From the beginning of heraldry, coats of arms have been executed in a wide variety of media, including on paper, painted wood, embroidery, enamel, stonework and stained glass.

* Gordon Bell and Bill Strecker's 1975 paper, What We Learned From the PDP-11

From 1973 on, editions were done on a four-color press with a different newsprint paper size.

From the records of the Imperial Bureau of Supplies of that same year, it was also recorded that for Emperor Hongwu's imperial family alone, there were 15, 000 sheets of special soft-fabric toilet paper made, and each sheet of toilet paper was even perfumed.

* From Host-Remote to Next-Generation-a white paper by MetaSwitch

From the publication of his first paper in 1929, during his days as a student, until his death, Ulam was constantly writing on mathematics.

From 1971 on several mathematicians have been working on Wall's conjecture, posed by Wall in a 1971 paper, which said that all finitely generated groups were accessible.

A 2003 paper entitled " The Earliest North American Record of Auk ( Aves: Alcidae ) From the Late Eocene of Central Georgia " by Robert M. Chandler and Dennis Parmley of Georgia College and State University reports a Late Eocene, wing-propelled diving, auk from the Priabonain Stage of the Late Eocene.

* From Planning to Mature: on the Determinants of Open Source Take Off, Discussion paper 2005-17, Università degli Studi di

From Russia, with Love was serialised in the Daily Express newspaper commencing on 1 April 1957 ; it was the first Bond novel the paper had adapted in such a way.

From January 2000 through September 2005, the Consumer Product Safety Commission ( CPSC ) received 50 reports of incidents involving finger amputations, lacerations, and other severe injuries from paper shredders.

From 1912 to 1913, Chen, with the assistance of Luo Jialun ( 羅家倫 ) and Fu Sinian ( 傅斯年 ), published a paper named Xinchao She ( 新潮社 ).

From 1932 until 2008 the site was owned by News International, which used it to import newsprint and other paper products from Finland until early 2000.

From the outset, the chief aim of the paper was to promulgate anti-Semitic propaganda.

From 26 October 2010, the same day as its sister paper i was launched, The Independent started to be printed on slightly thicker paper than before and ceased to be full-colour throughout, with many photographs and pictures ( though none of those used in adverts ) being printed in black and white only.

( From 1928, through the mid 1940s, The Mallet was printed in the Proctor Journal and not as an independent paper.

From time to time several small mills and manufactories of various kinds have been located there, the principal ones being woolen mills, a cotton-warp mill and a paper mill.

From 1898 onwards he was a columnist for the Yorozu Chōhō ( Everything Morning News ), one of the more radical daily papers of the time ; however, he resigned that position when the paper switched to a pro-war stance in October 1903 in the build up to the Russo-Japanese War.

From 1339 he received annually 24, 000 ding in Yuan paper currency from the Jochid appanages in China.

From the issue of 21 March 1998 onwards, the paper has no longer been printed on newsprint, and more recently it has shifted to tabloid size: it has full, glossy, colour covers.