Examples of using Other mathematicians in English and their translations into Vietnamese
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Kahn and Markovic's findings allowed Wise to show other mathematicians that these two contexts are not so very far apart.
Other mathematicians, including Huh, have taken a preliminary look at the work but have not yet verified that the proof holds.
Sometimes he seemed extremely pleased with advances made by other mathematicians, particularly that of Eisenstein and of Lobachevsky.
Though other mathematicians found Givental's proof hard to follow, they were optimistic that he had solved the problem.
He was obliged to share credit for hisfirst major result when he learned that two other mathematicians were working on the same problem.
Some other mathematicians, mainly number theorists, prefer to follow the old tradition and exclude zero from the natural numbers.
On at least one occasion, Yau and his students have seemed to confuse the two,making claims of originality that other mathematicians believe are unwarranted.
Other mathematicians quickly realized that it should be possible to push this separation bound quite a bit lower, although not all the way down to two.
What the number theorist did not realize is that other mathematicians, even the very best, also rely on a few tricks which they use over and over.
Other mathematicians created variants, now known as Machin-like formulae, that were used to set several successive records for calculating digits of π.
Thompson and Walter Feit, laying the foundation of a collaboration that,with input from numerous other mathematicians, led to the classification of finite simple groups, with the final step taken by Aschbacher and Smith in 2004.
In 1970, with two other mathematicians- Claude Chevalley and Pierre Samuel- he founded a group called Survive and Live, pacifist, ecologist, and very touched by the hippie movement.
The function of a mathematician, is to do something, to prove new theorems, to add to mathematics,and not to talk about what he or other mathematicians have done.”.
More recently, other mathematicians have begun establishing the foundational principles of a field with no prevailing dogma to cast aside: neural networks.
The remaining parts of the Taniyama- Shimura- Weil conjecture, now proven and known as the Modularity theorem,were subsequently proved by other mathematicians, who built on Wiles's work between 1996 and 2001.
In 1970, with two other mathematicians- Claude Chevalley and Pierre Samuel- he founded a group called Survive and Live, pacifist, ecologist, and very touched by the hippie movement.
In much of the Western world,it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in India,[1] Persia(Iran),[2] China, Germany, and Italy.[3].
The book, in addition to providing other mathematicians with a guide to Perelman's logic, would allow him to be considered for the Clay Institute's million-dollar prize for solving the Poincaré.
Since 2000 Clay Mathematics Institute has offered a $1 million prize to the mathematician who publishes their results in a peer-reviewed journal andwaits two years for other mathematicians to form possible objections to the solution.
In a flurry of recent papers, Yau and other mathematicians have characterized many new types of random matrices, which can conform to a variety of numerical distributions and symmetry rules.
In order to make good and useful contributions to mathematics, one does need to work hard, learn one's field well, learn other fields and tools, ask questions,talk to other mathematicians, and think about the‘big picture'.”.
Mochizuki has replied to e-mails from other mathematicians and been forthcoming to colleagues who have visited him, but his only public input has been sporadic posts on his website.
A selection of the mathematical papers of Giuseppe Vitali, precisely 35 out of 83 total, some lecture notes from his university courses, a book on the geometry of Hilbert spaces and100 letters out of 300 total of his correspondence with many other mathematicians of his time are collected in the book(Vitali 1984).
Despite hundreds of pages of calculations leading nowhere, Pitt and other mathematicians felt certain- and took his 2-D proof as evidence- that the convex geometry framing of the GCI would lead to the general proof.
But then other mathematicians pointed out that this newly gained flexibility came at a high cost: The new number system lacked unique prime factorization, by which a number- for example, 12- can be expressed uniquely as a product of primes: 2 x 2 x 3.
Eventually, de Grey minimised his five-colour graph to 1,581 vertices, and along with sharing his new work,invited other mathematicians to see if they could improve upon this further, by finding graphs with even fewer points that require at least five colours.
In the years leading up to his proof, agol and other mathematicians had shown that all three of these questions- the virtual fibering conjecture and two more technical questions about hyperbolic three-manifolds- were also consequences of wise's conjecture.
The early history of astronautics is theoretical: the fundamental mathematics of space travel was established by Isaac Newton in his 1687treatise Philosophiae Naturalis Principia Mathematica.[6] Other mathematicians, such as Swiss Leonhard Euler and Franco-Italian Joseph Louis Lagrange also made essential contributions in the 18th and 19th centuries.
As Erica Klarreichreports in her profile of Scholze for Quanta Magazine, other mathematicians regard him with“a mixture of awe and fear and exhilaration,” in the words of Bhargav Bhatt, a mathematician who has collaborated with Scholze.