Horner's Rule rule, the same rule was invented by Isaac Newton in 1669 and actually the first personto describe it was the Chinese mathematician Ch in chiushao in the 1200s http://www.fact-index.com/h/ho/horner_s_rule.html
Extractions: Main Page See live article Alphabetical index When numerically computing values of polynomials, Horner's rule (or Horner's method Horner's Schema ) is one of the first basic computation rules one must learn. Assume you want to evaluate the value of a polynomial: You see that in order to carry out this evaluation for a given and given coefficients , you need to perform multiplications and additions, given that you preserve the powers of between the additions. (Else it will demand something like ( n n )/2 multiplications!) William George Horner observed in (columbi egg) that as additions are easier to perform than multiplications (especially if you want to compute this using a computer ), if you rewrite the polynomial evaluation as follows: then may be evaluated recursively using only multiplications and additions. This may be easily implemented in a computer program where a[] is a vector of the coefficients, with the most significant coefficient first, thusly (pseudo code): Even though William George Horner is credited with this rule, the same rule was invented by
Extractions: 3 Aussage f¼r allgemeine Ringe Eine simultane Kongruenz ganzer Zahlen ist ein System von linearen Kongruenzen f¼r die alle x bestimmt werden sollen, die s¤mtliche Kongruenzen gleichzeitig l¶sen. Wenn eine L¶sung x existiert, dann sind mit M := kgV( m m m m n ) die Zahlen x kM (k in Z ) genau alle L¶sungen. Es kann aber auch sein, dass es gar keine L¶sung gibt. Die Originalform des Chinesischen Restsatzes aus einem Buch des chinesischen Mathematikers Ch'in Chiu-Shao aus dem Jahr ist eine Aussage ¼ber simultane Kongruenzen f¼r den Fall, dass die Moduln teilerfremd sind. Sie lautet:
FDC China 30f Ch'in Chiu-Shao FDC China 30f Ch in chiushao FDC. Ch in chiu-shao was born in Szechuan,China, in 1202 and died in Kwangtung, China, in 1261. During http://www.unicover.com/EA8RCUMN.HTM
Extractions: Ch'in Chiu-Shao was born in Szechuan, China, in 1202 and died in Kwangtung, China, in 1261. During his lifetime, he made significant contributions to the field of mathematics. He was also accomplished in poetry, archery, fencing, riding, music and architecture. Among his many accomplishments, he wrote his celebrated mathematical treatise, "Shu-shu chiu-chang" or "Mathematical Treatise in Nine Sections," which appeared in 1247. Standard Number: US$ Price: If you plan to order any of the above items you can do it any of three ways: Use Express Shopping : Simply click the "Add to Cart" Button for the item you want to order. This puts the item in your Express Shopping Cart, where you can change the quantity or remove it. When you've finished putting items in your Express Shopping Cart, Go to the Shopping Cart and choose your options from there. Use QuickNavigation. You'll want to be sure to write down the following "8-character Order Blank Code": BUTA-JS01 Also be sure to copy down the Stock Number (SKU) of each item you wish to order.
List Of Mathematicians - Wikipedia, The Free Encyclopedia 19, 1996); Shiingshen Chern (October 26, 1911 - ); Alexey Chervonenkis(Russia); Ch in chiu-shao (China, 1200s); Sarvadaman Chowla http://en.wikipedia.org/wiki/List_of_mathematicians
List Of People By Name Ch - Wikipedia, The Free Encyclopedia cattle baron; Chiu, Alex, (born 1971), discoverer of immortality rings;chiushao, Ch in, mathematician. Chl-Chm. Chladni, Ernst, (1756 http://en.wikipedia.org/wiki/List_of_people_by_name:_Ch
Cultural History Of East Asian Science, Technology, And Medicine Urlich Libbrecht, Chinese Mathematics in the Thirteenth Century, the ShuShuChiu-Chang of Ch in chiu-shao (Cambridge MIT Press, 1973), selections. http://uts.cc.utexas.edu/~rhart/courses-chicago/easci/
Extractions: office hours: Tuesdays 3-6 p.m. Class attendance is mandatory. Students may choose one of the following two options: (1) Before the first class of each week write a brief summary of the primary and required secondary readings assigned for that week (but not the supplementary readings), to be sent to me by email by 10 p.m. Monday evening. Students should complete reading notes for nine of the ten weeks. Notes on the primary sources should summarize the material, usually in one paragraph. Notes on the secondary readings should usually be two short paragraphs one summarizing the central argument and one offering critical analysis. The reading notes should total 2 to 3 pages per week. These will be graded and will serve as the basis for class discussions. Grading: reading assignments 70%; class participation 30%. (2) Students interested in a particular topic should complete a final paper of 10 pp. for undergraduates and 20 pp. for graduate students. Students should consult me as early as possible on possible topics. An outline and bibliography are due by February 13; a first draft must be turned in by February 27; and the final draft is due March 8. Grading: final paper 70%; class participation 30%.
HPS 297 Syllabus Winter 97 Urlich Libbrecht, Chinese Mathematics in the Thirteenth Century, the ShuShuChiu-Chang of Ch in chiu-shao (Cambridge MIT Press, 1973), chaps. 1-2. http://uts.cc.utexas.edu/~rhart/courses-stanford/chinesescience/
Extractions: Office hours: T Th 2:00-3:00, and by appt. This course adopts an interdisciplinary approachdrawing on cultural history, anthropology, gender studies, and philosophyto the study of Chinese science, technology, and medicine analyzed in its intellectual, social, and cultural context. The course is designed for students interested in i) the history, philosophy and anthropology of science, technology, and medicine; ii) East Asian studies; iii) studies of 'non-Western' cultures. We will also critically assess the conclusions on 'culture' derived from the received historiography on Chinese science, and examine emerging trends in current research. Knowledge of Chinese is not required for the course. i) Class attendance is mandatory. ii) Reading assignments: before class you must write a brief summary and critique of the readings, to be sent to me by email. Notes on each of the readings should usually be about two paragraphsone summarizing the central argument and one offering critical analysisfor a total of 2-5 pages per week. These will be graded (distinguished, satisfactory, or unsatisfactory) and will serve as the basis for class discussions. Students are encouraged to rewrite the assignments on the basis of our class discussions.
Math History - Middle Ages 1247, Ch in chiushao writes Mathematical Treatise in Nine Sections. It containssimultaneous integer congruences and the Chinese Remainder Theorem. http://lahabra.seniorhigh.net/pages/teachers/pages/math/timeline/MmiddleAges.htm
GIOVAROSI S FORMULA in chiu-shao riportatanel suo celebre trattato del 1247 Shu- shu chiu- chang (Trattato di http://utenti.lycos.it/sandro999/
Extractions: Le due formule a confronto: quella del matematico cinese Ch'in Chiu-Shao riportata nel suo celebre trattato del 1247 "Shu- shu chiu- chang" (Trattato di Matematica in Nove Sezioni) e quella di Giovarosi (1939) presente nel suo lavoro "Complementi d'Algebra relativi alla risoluzione dell'equazione di ordine superiore". Gioacchino Giovarosi nasce a Roma nel +1889 dove vive fino alletà di 20 anni. Cieco fin dalla nascita per una difterite oculare,studia alla scuola SantAlessio (zona Aventino), istituto per non vedenti dove impara anche a suonare il violino, a rilegare libri e a scrivere con il sistema Braille. Si trasferisce poi a Terni ,si sposa ed ha un figlio che mantiene sfruttando il suo talento di virtuoso del violino. In questo periodo della sua vita il Giovarosi veniva accompagnato ogni mattina sui ponti di questa città e qui mestamente iniziava a suonare il suo violino; ma certamente dal suo strumento di lavoro evolveVano al cielo note musicali armoniose che si alternavano a numeri celesti e a formule matematiche.
List Of Mathematicians - Reference Library 1933 1996); Shiing-shen Chern (October 26,1911 - ); Alexey Chervonenkis(Russia); Ch in chiu-shao (China, 1200s); Sarvadaman Chowla http://www.campusprogram.com/reference/en/wikipedia/l/li/list_of_mathematicians.
Extractions: Main Page See live article Alphabetical index The famous mathematicians are listed below in English alphabetical transliteration order (by surname A B C ... Z Charles Babbage (United Kingdom, John Baez Alan Baker (Britain, Stefan Banach (Poland, Grigory Isaakovich Barenblatt (Russia, USA, Isaac Barrow (England, Thomas Bayes (England, Eric Temple Bell (Scotland, USA, Jakob Bernoulli (Switzerland, Johann Bernoulli (Switzerland, Joseph Louis Francois Bertrand (France
Reading List On History Of Special Topics In Mathematics Medieval Mathematics. Ulrich Libbrecht, Chinese Mathematics in the Thirteenth CenturyThe Shushu chiu-chang of Ch in chiu-shao (Cambridge MIT Press, 1973). http://www.dean.usma.edu/math/people/rickey/hm/mini/bib-katz.html
Extractions: Prepared by Victor Katz. Otto Neugebauer, The Exact Sciences in Antiquity (Princeton: Princeton University Press, 1951) B. L. van der Waerden, Science Awakening I (New York: Oxford University Press, 1961) B. L. van der Waerden, Geometry and Algebra in Ancient Civilizations (New York: Springer, 1983) Richard J. Gillings, Mathematics in the Time of the Pharaohs (Cambridge: MIT Press, 1972) Li Yan and Du Shiran, Chinese Mathematics: A Concise History , translated by John N. Crossley and Anthony W. C. Lun (Oxford: Clarendon Press, 1987) B. Datta and A. N. Singh, History of Hindu Mathematics (Bombay: Asia Publishing House, 1961) (reprint of 1935-38 original) Denise Schmandt-Besserat, Before Writing: From Counting to Cuneiform (Austin: University of Texas Press, 1992) Thomas Heath, A History of Greek Mathematics (New York: Dover, 1981) (reprint of 1921 original) Wilbur Knorr, The Evolution of the Euclidean Elements (Dordrecht: Reidel, 1975)
Extractions: Previous REVIEWS `Boethius' Geometrie II by Menso Folkerts (G. P. Matvievskaya) ............................................ 339341 Diderot by Arthur M. Wilson (Charles C. Gillispie) .......................................... 342344 Einstein. Zhizn, Smert, Bessmertie by B. G. Kuznetsov (Martin Dyck) ................................................... 344347 Women in Mathematics by Lynn M. Osen (Mary E. Williams) .............................................. 348349 Georgii Nikolaevich Nikoladze by A. N. Bogolyubov (Esther Portnoy) ..................................................... 349 Babbage, La Macchina Analitica by Mario G. Losano (Umberto Forti) ................................................. 350353 Chinese Mathematics in the Thirteenth Century: The Shu-Shu Chiu-Chang of Ch'in Chiu-Shao by Ulrich Libbrecht (Lam Lay Yong) .................................................. 353355 English-Greek Mathematical Dictionary by C. P. Tzelekis (S. P. Zervos) ....................................................... 355
Chinese Mathematicians: Rebecca And Tommy Diagram List. Diagram 1 Titled Ch in chiushao Source Coolidge, JL(1963) The mathematics of Great Amateurs, pg 194. Diagram 2 Titled http://www.roma.unisa.edu.au/07305/pict.htm
Chinese Mathematics : Rebecca And Tommy Laws of signs (+1299); Ch in chiu-shao - solution of numeric equations; ZhuShijie - systems of equations; Horners method; Solution of polynomial equations. http://www.roma.unisa.edu.au/07305/timeline.htm
A Bibliographt Of Source Materials The Shushu chiu-chang of Ch in chiu-shao, Cambridge, MA MIT Press, 1973;Lebesque, H., Lecons sur l integration, Chelsea Publishing Company, 1974; http://www66.homepage.villanova.edu/thomas.bartlow/history/sourcebib.htm
Extractions: History of Mathematics Bibliography of Source Materials Baum, Robert J., Philosophy and Mathematics : From Plato to the Present , Freeman Cooper, 1973 Berrgren, Lennart, Borwein, Jonathan, and Borwein, Peter, Pi: A Source Book, Springer, 1997 Birkhoff, Garrett, ed., A Soucrebook in Classical Analysis , Cambridge: Harvard University Press, 1973 Calinger, Ronald, Classics in Mathematics , Englewood Cliffs, NJ: Prentice-Hall, Inc., 1995 Cohen, M. R. and I. E. Drabkin, A Source Book in Greek Science , New York: McGraw-Hill, 1948 Fauvel, John and Jeremy Gray, ed., The History of Mathematics: A Reader , London: Macmillan Press, 1987 Grant, Edward, A Source Book in Medieval Science , Cambridge, MA: Harvard U. Press Smith, David Eugene, ed., A Source Book in Mathematics , 2 vols., New York: Dover Publications, 1959 Struik, Dirk J., A Source Book in Mathematics, 12001800 , Princeton: Princeton University Press,1986 van Heijenoort, Jean, Frege and Godel: two fundamental texts in mathematical logic , Cambridge, MA: Harvard U. Press, 1970
ThinkQuest : Library : CultureQuest Ch in chiushao Culture Chinese Area of Study Mathematic Century 13 ContributionHe wrote Mathematical Treatise in nine sections treats equations of a http://library.thinkquest.org/C008444/pages/library/info/asian.html
Extractions: Index Cultures CultureQuest is a site dedicated to educating people about the contributions of scientists of various cultures to the scientific community. It is does so in a way that is appealing to both adults and children, offering games, and recipes to make the learning process more interesting. It is available in 3 languages. Visit Site 2000 ThinkQuest Internet Challenge Languages French Spanish Students Micah Hill Regional Career High School, New Haven, CT, United States eric Hill Regional Career High School, Milford, CT, United States Julius Hill Regional Career High School, New Haven, CT, United States Coaches Linda Hill Regional Career High School, New Haven, CT, United States Phil Hill Regional Career High School, New Haven, CT, United States Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy
À§´ëÇѼöÇÐÀÚ ¸ñ·Ï Tommaso Ceva Born 20 Dec 1648 in Milan, Italy Died 3 Feb 1737 in Milan, ItalyCh in, Ch in chiushao Born 1202 in Szechwan (now Sichuan), China Died 1261 http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=C
Extractions: Achilles races a tortoise that has a head start. First, Achilles must run to the point where the tortoise started the race. While he does that, the tortoise moves a little farther. So Achilles must run to where the tortoise is now but again the tortoise moves a little farther. Since this can be repeated indefinitely, Achilles can never catch up to the tortoise.
List Of Mathematicians - Wikipedia, The Free Encyclopedia Chaitin (USA, ; Pafnuty Lvovich Chebyshev, (Russia, (May 16, 1821 December 8, 1894); Ch in chiu-shao (China, 1200s); Sarvadaman http://www.phatnav.com/wiki/wiki.phtml?title=List_of_mathematicians
