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Ngoài một số quy định đã được nêu trong phần Quy định của Ghi Danh , mọi người tranh thủ bỏ ra 5 phút để đọc thêm một số Quy định sau để khỏi bị treo nick ở MathScope nhé ! * Quy định về việc viết bài trong diễn đàn MathScope * Nếu bạn muốn gia nhập đội ngũ BQT thì vui lòng tham gia tại đây |
| Ðiều Chỉnh | Xếp Bài |
26-12-2011, 09:42 AM | #16 |
+Thành Viên+ Tham gia ngày: Nov 2011 Bài gởi: 6 Thanks: 0 Thanked 4 Times in 2 Posts | Nếu chứng minh của bạn Phương là đúng thì là Maya, 2012! |
12-02-2012, 10:45 AM | #17 |
+Thành Viên+ Tham gia ngày: Jul 2011 Đến từ: Storm monarch's Bài gởi: 144 Thanks: 77 Thanked 65 Times in 50 Posts | Có ai biết Andrew Wiles đã chứng minh định lý Fermat lớn như thế nào không? Quyển “Phương trình và hệ phương trình không mẫu mực” có bài viết nói rằng chứng minh ấy chỉ khoảng 25 trang. P/S: Nhân tiện cho mình hỏi chứng minh của bạn Phương sai ở chỗ nào đấy? __________________ |
16-02-2012, 07:12 PM | #18 |
+Thành Viên+ Tham gia ngày: Sep 2011 Đến từ: Nghệ An Bài gởi: 18 Thanks: 1 Thanked 11 Times in 9 Posts | Thế bây giờ có còn giải thưởng cho lời giải sơ cấp nữa không nhỉ |
17-02-2012, 12:07 AM | #19 |
+Thành Viên+ Tham gia ngày: Nov 2007 Bài gởi: 2,995 Thanks: 537 Thanked 2,429 Times in 1,376 Posts | Mấy cái c/m sơ cấp cho giả thuyết Fermat, bạn nào quan tâm thì đi chỗ khác thảo luận nhé. Trên MS không thảo luận mấy thứ ý, nó nằm ngoài khuôn khổ của forum |
11-03-2013, 06:09 AM | #20 |
+Thành Viên+ Tham gia ngày: Nov 2011 Bài gởi: 6 Thanks: 0 Thanked 4 Times in 2 Posts | Famous Math Theorem Can be Proved Simply Fermat’s Last Theorem — the idea that a certain simple equation had no solutions — went unsolved for nearly 350 years until Oxford mathematician Andrew Wiles created a proof in 1995. Now, Case Western Reserve Univ.’s Colin McLarty has shown the theorem can be proved more simply. The theorem is called Pierre de Fermat’s last because, of his many conjectures, it was the last and longest to be unverified. In 1630, Fermat wrote in the margin of an old Greek mathematics book that he could demonstrate that no integers (whole numbers) can make the equation xn + yn = zn true if n is greater than 2. He also wrote that he didn’t have space in the margin to show the proof. Whether Fermat could prove his theorem or not is up to debate, but the problem became the most famous in mathematics. Generation after generation of mathematicians tried and failed to find a proof. So, when Wiles broke through in 1995, “It was just shocking to a lot of us that it could be proved,” McLarty, says. “And we thought, ‘Now what?’ There was no new most famous problem.” McLarty is a Case Western Reserve philosophy professor who specializes in logic and earned his undergraduate degree in mathematics. He hasn’t developed a proof for Fermat, but has shown that the theorem can be proved with much less set theory than Wiles used. Wiles relied on his own deep insight into numbers and works of others — including Alexander Grothendieck — to devise his 110-page proof and subsequent corrections. Grothendieck revolutionized numbers theory, rebuilding algebraic geometry in the 1960s and 1970s. He used strong assumptions to support abstract ideas, including the idea of the existence of a universe of sets so large that standard set theory cannot prove they exist. Standard set theory is comprised of the most commonly used principals, or axioms, that mathematicians use. McLarty calls Grothendieck’s work “a toolkit,” and showed, at the Joint Mathematics Meetings in San Diego in January, that only a small portion is needed to prove Fermat’s Last Theorem. “Most number theorists are like race car drivers. They get the best out of the car but they don't build the whole car," McLarty says. “Grothendieck created a toolkit to build cars from scratch.” “Where Grothendieck used strong set theory I’ve shown he could do with only a fraction of it,” McLarty says. “I use finite-order arithmetic, where all sets are built from numbers in just a few steps. You don’t need sets of sets of numbers, which Grothendieck used in his toolkit and Andrew Wiles used to prove the theorem in the 90s.” McLarty showed that all of Grothendieck's ideas, even the most abstract, can be justified using very little set theory — much less than standard set theory. Specifically, they can be justified using "finite order arithmetic." This uses numbers and sets of numbers and set of those and so on, but much less than standard set theory. “I appreciate the wholeness of the foundation Grothedieck created,” McLarty says. “I want to take the whole thing and make it more usable to practicing mathematicians.” Mathematician Harvey Friedman, who famously earned his undergraduate, master’s and PhD from MIT in three years and began teaching at Stanford Univ. at age 18, calls the work a “clarifying first step,” ScienceNews reports. Friedman, now an emeritus mathematics professor at Ohio State Univ., calls for McLarty’s work to be extended to see if the theorem can be proved by numbers alone, with no sets involved. “Fermat's Last Theorem is just about numbers, so it seems like we ought to be able to prove it by just talking about numbers,” McLarty says. “I believe that can be done, but it will require many new insights into numbers. It will be very hard. Harvey sees my work as a preliminary step to that, and I agree it is.” McLarty will talk more about that specific result at the Association for Symbolic Logic North American Annual Meeting in Waterloo, Ontario, May 8-11. [Only registered and activated users can see links. ] |
12-03-2013, 12:13 AM | #21 |
+Thành Viên+ Tham gia ngày: Oct 2012 Bài gởi: 62 Thanks: 17 Thanked 25 Times in 19 Posts | |
31-03-2013, 09:32 PM | #22 |
+Thành Viên+ Tham gia ngày: Dec 2011 Bài gởi: 528 Thanks: 560 Thanked 195 Times in 124 Posts | __________________ "People's dreams... will never end!" - Marshall D. Teach. |
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