Help


[permalink] [id link]
+
Page "Fundamental theorem of arithmetic" ¶ 41
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

paper and introduced
An axiomatic approach to Kolmogorov complexity based on Blum axioms ( Blum 1967 ) was introduced by Mark Burgin in the paper presented for publication by Andrey Kolmogorov ( Burgin 1982 ).
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.
To store matte information, the concept of an alpha channel was introduced by Alvy Ray Smith in the late 1970s, and fully developed in a 1984 paper by Thomas Porter and Tom Duff.
The term was coined by Michael Dummett, who introduced it in his paper Realism to re-examine a number of classical philosophical disputes involving such doctrines as nominalism, conceptual realism, idealism and phenomenalism.
It was introduced by Massee because, as a female, Potter could not attend proceedings or read her paper.
In Europe, paper money was first introduced in Sweden in 1661.
It was introduced in 1971 by Stephen Cook in his seminal paper " The complexity of theorem proving procedures " and is considered by many to be the most important open problem in the field.
One of the earliest, and probably the most well-known, is DIN 476 — the standard that introduced the A-series paper sizes in 1922 — adopted in 1975 as International Standard ISO 216.
Evolutionarily stable strategies were defined and introduced by John Maynard Smith and George R. Price in a 1973 Nature paper.
The government founded banks ; introduced paper money ; established a university ; expanded primary, secondary, and technical schools ; and sent students abroad for education.
More than one century after Euler's paper on the bridges of Königsberg and while Listing introduced topology, Cayley was led by the study of particular analytical forms arising from differential calculus to study a particular class of graphs, the trees.
In particular, the term " graph " was introduced by Sylvester in a paper published in 1878 in Nature, where he draws an analogy between " quantic invariants " and " co-variants " of algebra and molecular diagrams:
He published a paper that introduced the theory of data-flow analysis used today in optimizing compilers,
In Shannon's revolutionary and groundbreaking paper, the work for which had been substantially completed at Bell Labs by the end of 1944, Shannon for the first time introduced the qualitative and quantitative model of communication as a statistical process underlying information theory, opening with the assertion that
The concept was introduced by Claude E. Shannon in his 1948 paper " A Mathematical Theory of Communication ".
This paper introduced several of the cornerstones of physical chemistry, such as Gibbs energy, chemical potentials, Gibbs phase rule.
Its use in Egypt continued until it was replaced by more inexpensive paper introduced by Arabs.
Hamilton's program was started in his 1982 paper in which he introduced the Ricci flow on a manifold and showed how to use it to prove some special cases of the Poincaré conjecture.
" This definition was introduced in the paper in which Stevens proposed four levels of measurement.
However, as already mentioned in the original paper of Franz Wegner, a solid state theorist who introduced 1971 simple gauge invariant lattice models, the high-temperature behaviour of the original model, e. g. the strong decay of correlations at large distances, corresponds to the low-temperature behaviour of the ( usually ordered!
Dijkstra wrote his seminal paper, " Go To Statement Considered Harmful ", in 1968 and David Parnas introduced the key concept of modularity and information hiding in 1972 to help programmers deal with the ever increasing complexity of software systems.
With Richard Lewontin, Gould wrote an influential 1979 paper entitled, " The Spandrels of San Marco and the Panglossian Paradigm ", which introduced the architectural term " spandrel " into evolutionary biology.
It was introduced in Einstein's 1905 paper " On the Electrodynamics of Moving Bodies " ( for the contributions of many other physicists see History of special relativity ).
This news group introduced a new paper, Naya Akhbar which is comparably more sensational.

paper and what
he tossed a paper toward every front door, and housewives came down to their steps to pick them up and read what their neighbors had been doing.
Years were to pass before these plans came off the paper, and Wright was justified in thinking, as the projects failed, that much of what he had to show his country and the world would never be seen except by visitors to Taliesin.
These programs are volumes of waste paper and lost hours if the citizens of a community must stand aside while land developers tell them when, where, and in what manner the community shall grow.
Steinberg seems to have gone directly back to the score, discounting tradition, and has built his performance on the intention to reproduce as faithfully as possible exactly what Brahms set down on paper.
Two days before he was taken sick, Cousin Elec was out worrying about what too much rain might do to his sweetpeas, and Cousin Elec had always preserved in the top drawer of his secretary a mother-of-pearl paper knife which Theresa had coveted as a child and which he had promised she could have when he died.
The Vipava Valley, through which Alboin led the Lombards into ItalyAs a precautionary move Alboin strengthened his alliance with the Avars, signing what Paul calls a foedus perpetuum (" perpetual treaty ") and what is referred to in the 9th-century Historia Langobardorum codicis Gothani as a pactum et foedus amicitiae (" pact and treaty of friendship "), adding that the treaty was put down on paper.
Having been told what the plant produced, Whorf wrote a chemical formula on a piece of paper, saying to the director: " I think this is what you're doing ".
The term Bayesian refers to Thomas Bayes ( 1702 – 1761 ), who proved a special case of what is now called Bayes ' theorem in a paper titled " An Essay towards solving a Problem in the Doctrine of Chances ".
The nature of the event has also been met with criticism outside of Quebec, such as that given by Ottawa Citizen columnist David Warren, who said in 2007: " The Canada of the government-funded paper flag-waving and painted faces — the ' new ' Canada that is celebrated each year on what is now called ' Canada Day '— has nothing controversially Canadian about it.
Thus, the molecular formula of ethanol may be written in a paper in conformational, three-dimensional, full two-dimensional ( indicating every bond with no three-dimensional directions ), compressed two-dimensional ( CH < sub > 3 </ sub >– CH < sub > 2 </ sub >– OH ), separating the functional group from another part of the molecule ( C < sub > 2 </ sub > H < sub > 5 </ sub > OH ), or by its atomic constituents ( C < sub > 2 </ sub > H < sub > 6 </ sub > O ), according to what is discussed.
They established the principles and basic techniques of partition chromatography, and their work encouraged the rapid development of several chromatographic methods: paper chromatography, gas chromatography, and what would become known as high performance liquid chromatography.
Admiral Anderson, Chief of Naval Operations wrote a position paper that helped Kennedy to differentiate between what they termed a " quarantine " of offensive weapons and a blockade of all materials, claiming that a classic blockade was not the original intention.
Based on what Krishnamurti states referring to a scholarly paper published in the International Journal of Dravidian Linguistics, the Sanskrit word itself is later than since the dates for the forms with-r-are centuries later than the dates for the forms without-r-(, -, damela-etc.
However, through careful research relating to paper construction, handwriting development, and the established principles of textual criticism, scholars can be rather certain about where these errors and changes appeared and what the original text probably said.
The original paper purports to describe what must happen to " two systems I and II, which we permit to interact ...", and, after some time, " we suppose that there is no longer any interaction between the two parts.
Rapid production from the computer allows many designers to explore multiple ideas quickly with more detail than what could be achieved by traditional hand-rendering or paste-up on paper, moving the designer through the creative process more quickly.
When the shell was warmed, milk would turn brown therefore the writing would appear on what looked like blank paper.
While in prison, he formed a gospel quartet with fellow cell mates Johnny Terry, " Hucklebuck " Davis and a person named " Shag ", and made homemade instruments-a comb and paper, a washtub bass, a drum kit made from lard tubs and for Brown, what he called " a sort of mandolin out of a wooden box.
It is " s if someone were to buy several copies of the morning paper to assure himself that what it said was true ", as Wittgenstein puts it.
In the same issue, the AJM editorial board issued an apology for what it called " incautions " in the Cao – Zhu paper.
For Thomas Kuhn, who presented his thoughts in a paper presented in 1977, a sense of such a critical inheritance of tradition is, historically, what sets apart the best scientists who change their fields is an embrasure of tradition.
In 2010, Hone and colleagues published a paper on their 2008 discovery of shed teeth of what they believed to be a Velociraptor near a tooth-marked jaw bone of what they believed to be a Protoceratops in the Bayan Mandahu Formation.

0.259 seconds.