Examples of using Open problems in English and their translations into Korean
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Open problems.
It was a speech full of optimism for mathematics in the coming century and he felt that open problems were the sign of vitality in the subject.
(more open problems in physics).
The principal factor in the development of mathematics has an internal origin- reflection on the nature of the open problems, independently of their origin.
List of open problems in computer science.
Unlike at most conferences, the focus is not solely on the presentationof established results but to equal parts on results, ideas, sketches, and open problems.
By giving a list of the open problems in the area, this work played an important role in deciding the direction of Oka's research.
A fundamental question of longstanding theoretical interest is to prove lower bounds on the complexity and exact operation counts of fast Fourier transforms, and many open problems remain.
In 1921 Alfred,working with his brother Richard, solved one of Schur 's open problems and this would set both brothers on their way as researchers.
There were no'open problems' for them to solve, and they were not in any sense interested in trying to formulate or solve mathematical problems. .
He spent nine months at Princeton in 1928-29 and this was an important period for Albert since during his time there Lefschetz suggested that he look at open problems in the theory of Riemann matrices.
Outlines some new results and open problems concerning diffusion theory where we find an intimate interplay between differential equations and measure theory in function space.
In 1968 Tarski wrote another famous paper Equational logic and equational theories of algebras in which he presented a survey of the metamathematics of equational logic as it then existed as well as giving some new results and some open problems.
In fact it was one of these open problems which Richard working with his brother Alfred solved in 1921 and this was eventually to be included in Brauer's first publication.
Open problems and unresolved difficulties are carefully noted, and the reader is never left in doubt as to whether he is presented with a mathematical theorem or with a conjecture based on physical experience.
Throughout his books and articles you will find open problems and he has worked with his students, former students, and colleagues frequently more to encourage them than to produce another paper under his own name.
An Open Problem.
Generalizing this technique beyond noisy-ORs is an interesting open problem.
He solved the major open problem of approximating algebraic numbers by rationals in 1955.
Schur held weekly problem hours, and in these sessions he would give the students difficult problems most of which Frobenius or Schur himself had solved, butoccasionally he gave the class an open problem which he did not know how to solve.
This was due to Heine, one of his senior colleagues at Halle, who challenged Cantor to prove the open problem on the uniqueness of representation of a function as a trigonometric series.
After Aleksandrov's great successes Luzin did what many a supervisor might do, he realised that he had one of the greatest mathematical talents in Aleksandrov so he thought that it was worth asking him to try to solve the biggest open problem in set theory, namely the continuum hypothesis.
This is an open problem.
It's an open problem.
Solving this important open problem was not Hadamard's only remarkable contribution of 1896.
This result also solved a long-standing open problem concerning the existence of certain fractal sets in the plane.
These bright, talented people are eager to find cures for all cancers, explain dark energy, invent faster mobile phones, design robots, become astronauts andprove the Riemann hypothesis, a millennial open problem in mathematics.
These bright-eyed, bushy-tailed, talented people are eager to find cures for all cancers, explain dark energy, invent faster mobile phones, design robots, become astronauts andprove the Riemann hypothesis, a millennial open problem in mathematics.
It was shown during the early 1970's that no efficient algorithm for the problem is at all possible(proving it is still an open problem!).
Menshov attended Luzin 's lecture course, and when Luzin posed the open problem of whether the Denjoy integral and the Borel integral were equivalent, he was able to solve the problem. .