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DIOPHANTINE EQUATIONS Vµ Văn R¢n th¡ng 03 năm 2007 Phải c³ sá»± đồng ½ của t¡c giả cÅ©ng nhÆ° ghi rµ nguồn "www.khoahoc.net" khi bạn ph¡t h nh lại th´ng tin từ website n y Gần đ¢y c¡c nh  To¡n học quan t¢m đến loại phÆ°Æ¡ng tr¬nh c³ nhiều ẩn số, v  số mÅ© c³ thể vượt ra khỏi tầm tay của chºng ta, nªn rất kh³ đối với học sinh, sinh viªn, v¬ c¡c bạn trẻ chÆ°a bao giờ được học đến loại phÆ°Æ¡ng tr¬nh ĐA ẨN SỐ nầy, c²n gọi l  DIOPHANTINE EQUATIONS, c¡c bạn trẻ chỉ học mỗi ẩn số phải c³ một phÆ°Æ¡ng tr¬nh mới giải được, n³i nhÆ° vậy kh´ng c³ nghÄ©a l  Diophantine Equations qu¡ mới, thật ra loại phÆ°Æ¡ng tr¬nh nầy c³ từ nhiều ng n năm trước, NhÆ°ng kh´ng hiểu sao Diophantine Equations bị mất đi một thời gian l¢u, phÆ°Æ¡ng tr¬nh lấy tªn nh  To¡n học Diophantus of Alexandria ( Greek v¬ ´ng đ£ bỏ ra nhiều c´ng sức để sÆ°u tầm, ´ng l  t¡c giả của nhiều cuốn s¡ch Số học (Arithmetica) với những phÆ°Æ¡ng tr¬nh phức tạp thuộc nhiều thế ká»· Trước C´ng nguyªn, gọi chung l  Diophantine Equations, phÆ°Æ¡ng ph¡p để giải c¡c phÆ°Æ¡ng tr¬nh đa ẩn số của Diophantus of Alexandria được gọi l  Diophantine analysis. Học về Diophantine Equations l  một trọng t¢m trong l£nh vá»±c học thuyết số (number theory), nh

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- H/NetLab Ôï ó÷Þìá Á.1 äåß÷íåé Ýíá óÞìá x(t). Ó÷åäéÜóôå ôá ðáñáêÜôù óÞìáôá: -x(-t) x(t-1) x(2t) x(t/2) Ó÷çìáôßóôå Ýíá ðåñéïäéêü óÞìá f(t) ìå ðåñßïäï Ô=8, åðáíáëáìâÜíïíôáò ôï óÞìá ôïõ ó÷Þìáôïò Á.1. éá ôï f(t) õðïëïãßóôå ôçí ìÝóç ôéìÞ êáé ôçí ôéìÞ RMS Áðïäåßîôå üôé ôï ìéãáäéêü åêèåôéêü óÞìá e jùt Âñåßôå ôçí ðåñßïäï ôïõ óÞìáôïò x(t)=5óõít êáé õðïëïãßóôå ôçí ðåñßïäï ôïõ f(t)=x (t), áöïý ðñþôá áðïäåßîåôå üôé åßíáé ðåñéïäéêü. x(t)u(t-6) x(t)u(4-t) x(t)ä(t-5) x(t)ä(2t-6), ìå x(t) ôï óÞìá ôïõ ó÷Þìáôïò Á.2 Ôï ó÷Þìá Á.3 äåß÷íåé ôçí ó÷Ýóç åéóüäïõ x(t) åîüäïõ y(t) åíüò óõóôÞìáôïò. ÅêöñÜóôå ôçí ó÷Ýóç áõôÞ áíáëõôéêÜ êáé åîåôÜóôå áí ôï óýóôçìá åßíáé ãñáììéêü êáé ÷ñïíéêÜ áìåôÜâëçôï. : 5tä(t) çì(t)ä(t) êáé e ä(t) óõí(0.5t)ä(t-ð) f(t)=2t[u(t-1)-u(t-2)] x(t)=u(t-1)-2u(t-2)+u(t-3) x(t)=çìt[u(t-2ð)-u(t-9ð/2)] x(t)=10ä(t-2)-10ä(t-4). Ôï óçìá ôïõ ó÷Þìáôïò A.4 åßíáé ðåñéïäéêü ìå ðåñßïäï Ô. Õðïëïãßóôå êáé ó÷åäéÜóôå ôï Üñôéï êáé ðåñéôôü ìÝñïò ôïõ êáé åëÝãîôå ôçí ðåñéïäéêüôçôÜ ôïõò. (á) Ó÷åäéÜóôå ôçí e(t) êáé åêöñÜóôå ôçí ìå âçìáôéêÝò.

48. The Database Of Integer Sequences, Part 41 Part Of The On-Line a href= http//www.mathsoft.com/mathsoft_resources/unsolved_problems/2186.asp On a Generalized FermatWiles Equation /a Abbreviated version of page http://www.research.att.com/~njas/sequences/eisBTfry00041.txt

The first 1 million digits of the square root of 7 %H A010465 S. Plouffe, Plouffe's Inverter, sqrt(7) to 100000 digits %Y A010465 Sequence in context: A087428 A115508 A021382 this_sequence A065630 A110633 A119250 %Y A010465 Adjacent sequences: A010462 A010463 A010464 this_sequence A010466 A010467 A010468 %K A010465 nonn,cons %O A010465 1,1 %A A010465 njas %I A065630 %S A065630 1,2,6,4,5,12,3,8,9,10,11,24,25,13,7,16,17,18,19,20,21,22,23,48,49,50,51,26,27,14,15,32,33, %T A065630 34,35,36,37,38,39,40,41,42,43,44,45,46,47,96,97,98,99,100,101,102,103,52,53,54,55,28,29,30, %U A065630 31,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92 %N A065630 Permutation of N induced by rotating the node 3 left in the infinite planar binary tree. The third row of A065626. Inverse of A065629. %H A065630 Index entries for sequences that are permutations of the natural numbers <=k Visualization of longest zigzag paths fitting into circle of diameter 2. Pythagorean Quadruple. %Y A097265 Cf. A096907, A096908, A096909. %Y A097265 Sequence in context: A059773 A127399 A088438 this_sequence A074208 A066043 A066678 %Y A097265 Adjacent sequences: A097262 A097263 A097264 this_sequence A097266 A097267 A097268 %K A097265 nonn %O A097265 1,1 %A A097265 Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 15 2004 %I A074208 %S A074208 2,6,4,9,14,6,8,10,15,14,20,24,27,22,16,12,39,24,48,34,18,20,52,90,40, %T A074208 46,42,28,68,78,32,56,45,62,84,24,70,48,66,44,63,30,50,82,78,52,116,90, %U A074208 75,40,132,96,80,42,36,106,99,68,148,120,130,118,64,56,117,54,136,112 %N A074208 Least k >1 such that n divides sigma(k)-k. %F A074208 sum(k=1, n, a(k)) seems to be asymptotic to c*n^2 with probably 0.8

49. Scurma Science Math Research Open Problems s of some unsolved problems and numerous links to other collections. http//www.mathsoft.com/mathsoft_resources/unsolved_problems/...... http://www.allenachrichten.de/Science/Math/Research/Open_Problems/

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53. Category:Unsolved Problems - Wikivisual Retrieved from http//en.wikivisual.com/index.php/Categoryunsolved_problems . Categories Underpopulated categories Problems http://en.wikivisual.com/index.php/Category:Unsolved_problems

Francais English Category:Unsolved problems From Wikipedia, the free encyclopedia Jump to: navigation search For more information, see the article about List of unsolved problems It has been requested that this category be populated. Please add the following category tag to any articles or categories that belong here: [[Category:Unsolved problems]] es:Categor­a:Problemas no resueltos ko:분류:미해결 문제 ja:Category:未解決問題 Pages in category "Unsolved problems" There are 4 pages in this section of this category. Lists of unsolved problems Grand Challenge problem F Fermi paradox T Toynbee tiles Retrieved from " http://en.wikivisual.com/index.php/Category:Unsolved_problems Categories Underpopulated categories Problems Views Category Discussion Edit this page History Personal tools Navigation Main Page Random article Search Toolbox Francais English Printable version Permanent link This page was last modified 14:00, 3 October 2006. All text is available under the terms of the GNU Free Documentation License . (See for details.) About Wikivisual

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Category:Unsolved problems Unsolved problems: category for problems of a theoretical nature. See list of unsolved problems Not for factual questions (e.g. Marie Celeste , etc): these belong in Category:Mysteries , or another of its subcategories, like Category:unsolved crimes Not for practical disputes (e.g. pollution Middle East conflict ). Perhaps try Category:Controversies or Category:Conflict Subcategories This category has the following 10 subcategories, out of 10 total. Lists of unsolved problems C Uncracked codes and ciphers Unsolved problems in cognitive science C cont. Unsolved problems in computer science L Language isolates Unclassified languages M Unsolved problems in mathematics N Unsolved problems in neuroscience P Unsolved problems in philosophy Unsolved problems in physics Pages in category "Unsolved problems" The following 3 pages are in this category, out of 3 total. Open problem Grand Challenge problem F Fermi paradox Wikipedia content modification information: This page was last modified on 3 December 2007, at 21:15. Wikipedia Authorship and Review Wikipedia content provided here is not reviewed directly by PediaView.com. Wikipedia content is authored by an open community of volunteers and is not produced by or in any way affiliated with PediaView.com.

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Category:Unsolved problems Encyclopedia Search: in Tutorials Encyclopedia Dictionary Entire Web Store Tutorials Encyclopedia Dictionary Web ... Email this to a friend Category:Unsolved problems List of unsolved problems popcat Category:Problems Source: Wikipedia GNU FDL. Edit this article Related Links in Category:Unsolved problems Our Problems With Mangano Development of Tewksbury, MA ... Problems Search the web for Category:Unsolved problems Search for tutorials in Category:Unsolved problems Search Encyclopedia for Category:Unsolved problems Search for Category:Unsolved problems in TutorGig Dictionary Search for Category:Unsolved problems in Open Directory Search for Category:Unsolved problems in TutorGig Store Search for Category:Unsolved problems in PriceGig Help build the largest human-edited directory on the web. Submit a Site Open Directory Project Become an Editor Related links are provided by Open Directory Project. Advertisement Category:Unsolved problems in TutorGig Encyclopedia top Home Add TutorGig to Your Site Privacy Statement

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Unsolved problems From Wikinfo Jump to: navigation search REDIRECT List of unsolved problems References Adapted from the Wikipedia article, "Unsolved_problems" http://en.wikipedia.org/wiki/Unsolved_problems , used under the GNU Free Documentation License Retrieved from " http://www.wikinfo.org/index.php/Unsolved_problems Views Article Discussion View source History Personal tools Log in / create account Navigation Main Page Community portal Contents Recent changes ... Donations Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 23:10, 17 January 2004. This page has been accessed 103 times. Unless some other open-source license such as Creative Commons has been selected by the original author of an article all contributions to Wikinfo are considered to be released under GNU Free Documentation License 1.2 About Wikinfo

60. Physics: Unsolved Problems In Physics Unsolved problems in physics. The following is an incomplete list of outstanding problems in physics. Some of these problems are theoretical, meaning that http://www.informationslurp.com/Physics/Unsolved_problems.html

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