영어에서 Axiomatic 을 사용하는 예와 한국어로 번역
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Axiomatic set theory.
Previous(Axiomatic systems).
Axiomatic set theory.
Three styles of semantics(operational,denotational, axiomatic).
Axiomatic set theories.
He wrote a number of papers on an axiomatic theory of mechanics, the first two in 1909.
Axiomatic set theories.
In 1908 Zermelo published his axiomatic system despite his failure to prove consistency.
Axiomatic Design and Fabrication of Composite Structures.
He made refinements to Zermelo 's axiomatic set theory, publishing work in 1922 and 1929.
He published Grundlagen der Geometrie in 1899 putting geometry in a formal axiomatic setting.
Next(Axiomatic systems).
Other approaches provide formal semantics of programming languages including axiomatic semantics and operational semantics.
Hilbert had him work on axiomatic methods and the classification of mathematics into levels.
His mathematics was not rigorous(it could not be as the mathematical techniques necessary to make it so had not been developed e.g. measure theory and axiomatic probability) although, his results were basically correct.
He decided to speak on Axiomatic Potential Theory and from then on he undertook research on the subject.
In a sense approximation was not regarded as important by the Chinese and they never became obsessed by the"squaring the circle" type of question like the ancient Greeks, since the Chinese approach was more practical and never axiomatic.
In 1958 Bernays published Axiomatic Set Theory in which he brought together all his work on the axiomatisation of set theory.
The two Iowa cases of State v. Ellis and State v. Striggles are both used in classes on criminal law to illustrate the concept of reliance upon authority as it relates to the axiomatic ignorantia juris non excusat("ignorance of the law is no excuse").
This axiomatic system gives a newer approach to the problem which had been tackled by Hilbert in Grundlagen der Geometrie.
The concepts of energy and the Dirichlet integral took Beurling to a global axiomatic theory called the theory of Dirichlet spaces for complex functions.
Since Euclid 's axiomatic formulation of geometry mathematicians had been trying to prove his fifth postulate as a theorem deduced from the other four axioms.
In the work of the eminent Polish mathematician Stanislaw Zaremba(1863- 1942),the problem of an axiomatic development of classical mechanics plays an important role, as is well known, this problem constitutes part of Hilbert 's Sixth Problem.
Music theory has no axiomatic foundation in modern mathematics, yet the basis of musical sound can be described mathematically and exhibits"a remarkable array of number properties".
Other work by Church in this area includes Set theory with a universal set published in 1971 which examines a variant of ZF-type axiomatic set theory and Comparison of Russell's resolution of the semantical antinomies with that of Tarski published in 1976.
He proved fundamental results about axiomatic systems, showing in any axiomatic mathematical system there are propositions that cannot be proved or disproved within the axioms of the system.
Subsequent research showed that,together with Felix Hausdorff's definition of topological space in terms of neighbourhoods, the closure operator yielded more fertile results than the axiomatic theories based on Maurice Fréchet 's convergence(1906) and Frigyes Riesz 's point of accumulation(1907).
In the authors describe Zaremba's axiomatic justification of the notion of time in classical mechanics which he worked on during the period from 1933 to 1940.
Freudenthal studied the relation between axiomatic mathematics and reality, and this study led him to contribute to intuitionism, as well as to the application of mathematics to linguistics.
The importance of the thesis is that it develops axiomatic analysis systems providing an abstraction of different objects studied by analysis in a similar way to group theory providing an abstraction of algebraic systems.