61. Marxism Message, Ethnomathematics One study, for example, has shown how the Chinese chu shihchieh triangle anticipated by more than three centuries the highly similar arrangement of http://archives.econ.utah.edu/archives/marxism/2003w07/msg00278.htm

Marxism mailing list archive Other Periods Other mailing lists Search Date: [ Previous Next ] Thread: [ Previous Next ] Index: [ Author Date Thread Ethnomathematics To Subject : Ethnomathematics From Date : Sun, 23 Feb 2003 10:23:01 -0500 http://www.nytimes.com/2003/02/23/magazine/23CRASH.html Ron Eglash website: http://www.rpi.edu/~eglash/eglash.htm Louis Proyect, Marxism mailing list: http://www.marxmail.org ~~~~~~~ PLEASE clip all extraneous text before replying to a message. Follow-Ups Re: Ethnomathematics From: Peter McLaren Prev by Date: Re: More on Taking Apart Hardt Next by Date: New KPFA Radio show on Disability Rights 'Pushing Limits' Previous by thread: What does BP think the war is all about? Next by thread: Re: Ethnomathematics Index(es): Date Thread Thread context: I think NY Times just blinked: "Right now, things don't look promising" for Iraq war , Fred Feldman Sun 23 Feb 2003, 16:51 GMT I think NY Times just blinked: "Right now, things don't look promising" for Ieaq war , Fred Feldman Sun 23 Feb 2003, 16:38 GMT Arthur Miller, Looking for a Conscience

62. Euthydemos In 1303, a Chinese mathematician named chu shihchieh, explicitly denying any originality, approached the problem by means of a device he called the http://infinitegames.blogspot.com/2004_06_01_infinitegames_archive.html

@import url(http://www.blogger.com/css/navbar/main.css); @import url(http://www.blogger.com/css/navbar/1.css); BlogThis! Telemetry of my journey thru the info space of political theory, artificial intelligence, lit crit theory, complexity, chaos, artificial life, randomness, evolution, genetics, bioinformatics, computer programming, semiotics, economics, psychology and philosophy. Proud member of the Reality-Based Community. Archives Euthydemos Wednesday, June 30, 2004 Neuro-economics :Brain Chemistry and Rational Decision-Making By Jerry Adler (Newsweek) The new paradigm sweeping the field, under the rubric of "behavioral economics," holds that studying what people actually do is at least as valuable as deriving equations for what they should do . And when you look at human behavior, you discover, as Camerer and his collaborator George Loewenstein of Carnegie Mellon have written, that "the Platonic metaphor of the mind as a charioteer driving twin horses of reason and emotion is on the right track—except that cognition is a smart pony, and emotion a big elephant." The fMRI machine enables researchers in the emerging field of neuroeconomics to investigate the interplay of fear, anger, greed and altruism that are activated each time we touch that most intimate of our possessions, our wallets.

63. Introduction The solution method is contained in chu shihchieh’s Precious Mirror of the Four Elements or, as it has become known, Pascal’s Triangle. http://journalofriskandinsurance.org/macminn/keynote.htm

Risk and Choice By Richard MacMinn Keynote Speech Presentation at The International Risk Management and Insurance Conference Taipei July Introduction Risks are commodities that may be exchanged. The corporation, long viewed as a nexus of contracts, may also be viewed as a nexus of risks. The corporation may be described as a composite commodity or bundle of risks that may be separated. (Kohn 1999) An economy may achieve an efficient allocation of risks as well as resources through separation and trading, i.e., see (Arrow 1963) or (Debreu 1959) Risks have traditionally been categorized as speculative or pure. The speculative risk may yield a gain or a loss. Aristotle provides an early example of a speculative risk in Book I of Politics. He tells a story about the philosopher T h a les of Miletus. According to the story, Thales was chided because he was poor and that was taken to be evidence that philosophy is of no practical value. Thales demonstrated the foolishness of the reproach. Thales had exceptional skill in reading the stars. One winter he foresaw that the autumn olive harvest would be much larger than normal.

64. HighBeam Research: Search Results: Article Chushanrishathaim chu shih-chieh Chusovaya Chu Ta Chu Teh Chuuk Chuvash Republic Chuza Chuzenji chyme chymotrypsin Chytridiomycota http://www.highbeam.com/ref/browse.asp?id=1E1.browse:Cho

65. SELECTED, ANNOTATED BIBLIOGRAPHY OF A dissertation concerned with polynomials in the Ssu yuan yü chien (Jade mirror of the four unknowns) of chu shihchieh. Good introductory orientation. http://ccat.sas.upenn.edu/~nsivin/nakbib.html

SELECTED, ANNOTATED BIBLIOGRAPHY OF THE HISTORY OF CHINESE SCIENCE AND MEDICINE SOURCES IN WESTERN LANGUAGES N. Sivin This annotated bibliography covers science and medicine in traditional and modern China. It is organized as follows: HISTORY OF SCIENCE IN IMPERIAL CHINA Reference Works General Science and Society Science and Philosophy Science and Religion The Early Encounter With Europe Mathematics and Divination Astronomy Alchemy and Early Chemical Arts Siting (geomancy), Cartography, and Earth Sciences HISTORY OF SCIENCE IN TWENTIETH-CENTURY CHINA HISTORY OF MEDICINE IN IMPERIAL CHINA Reference Works Studies Useful for Orientation Medicine and Related Topics Materia Medica HISTORY OF MEDICINE IN TWENTIETH-CENTURY CHINA Reference Works Medicine and Related Topics This list emphasizes recent publications, for two reasons. With respect to China before ca. 1800, the bibliographies in Joseph Needham’s Science and Civilisation in China (see below, p. ) are extremely rich, and merely need to be supplemented. Although they are unannotated, the reader can easily use the indexes to find evaluations of sources. There is no correspondingly thorough survey for the last two centuries, but on the other hand a large part of the literature on that period published more than a decade ago is already obsolete. The obvious differences in the subdivisions of this bibliography reflect the varying character and extent of the literature in each category. Books on traditional medicine keep pouring out, most of them with no scholarly value, because, unlike the old astronomy, alchemy, and so on, medicine is still widely practiced and the commercial demand, outside China as well as inside, is enormous. Historians have conspicuously neglected recent technology and science. Most publications are concerned with policy about them rather than the work and the people who did them.

66. Footnotes published by the Chinese mathematician chu shihchieh in 1303, in the works of the twelfth-century Persian poet and mathematician Omar Khayyam, http://mitpress.mit.edu/sicp/chapter1/footnode.html

The Lisp 1 Programmer's Manual appeared in 1960, and the Lisp 1.5 Programmer's Manual (McCarthy 1965) was published in 1962. The early history of Lisp is described in McCarthy 1978. The characterization of numbers as "simple data" is a barefaced bluff. In fact, the treatment of numbers is one of the trickiest and most confusing aspects of any programming language. Some typical issues involved are these: Some computer systems distinguish integers , such as 2, from real numbers Throughout this book, notation in this book, when we wish to emphasize the distinction between the input typed by the user and the response printed by the interpreter, we will show the latter in slanted characters. Lisp systems typically provide features to aid the user in formatting expressions. Two especially useful features are one that automatically indents to the proper pretty-print position whenever a new line is started and one that highlights the matching left parenthesis whenever a right parenthesis is typed. Lisp obeys the convention that every expression has a value. This convention, together with the old reputation of Lisp as an inefficient language, is the source of the quip by Alan Perlis (paraphrasing Oscar Wilde) that "Lisp programmers know the value of everything but the cost of nothing."

67. Mathematic Historic Style % % This File Is Based On A Table Of \died 1911} } \newcommand{\ChuShihChieh}{{\sc chu shihchieh}\footnote{{\sc chu shih-chieh}, \born 1270, \died 1330} } \newcommand{\Chuquet}{{\sc http://www.tug.org/tex-archive/macros/latex/contrib/mhs/mhs.sty

68. Chiffres Et écriture chu shih-chieh . Là aussi il nous est possible d y reconnaître l écriture chinoise de http://www.bib.ulb.ac.be/coursmath/chiffres.htm

Billard et symétries Couleurs Littérature ISBN, codes à barres... Chiffres et écriture Musique Timbres-poste Origami Arts graphiques ... Magie ! Dès l'origine de l'humanité, les hommes ont éprouvé, pour des raisons économiques, le besoin de compter. Les diverses civilisations ont utilisé différents systèmes de numération. Les bases les plus courantes étaient 10, 12, 20, 60. Ces nombres ne sont évidemment pas le fait du hasard, mais ils sont liés à notre réalité. Nous avons 10 doigts, 4 doigts de 3 phalanges, etc. Ces divers systèmes de numération se sont uniformisés à la longue, suite au développement des communications, pour faire place au système décimal. Nous retrouvons encore des vestiges des numérations en base 60 dans la mesure des angles ou dans la mesure du temps. La révolution française a introduit le système décimal pour les mesures de longueur, de poids, mais elle a échoué en ce qui concerne la mesure des angles (un angle droit était divisé en 100 grades). Jusque dans les années 60, le Royaume Uni avait conservé un système monétaire (hérité du système français) où la livre (la livre tournois, le franc) était subdivisée en 20 shillings (sous) eux-mêmes constitués de 12 pence (deniers). Le système binaire (le système octal et le système hexadécimal n'en sont que des abréviations) ne s'est imposé que pour l'utilisation des processeurs.

69. Triangle De Pascal - Historique chu shih-chieh. http://membres.lycos.fr/villemingerard/Iteration/TrgPasc2.htm

70. Accidental Death Of An Anarchist The play was directed by Chin shihchieh, one of Taiwan’s foremost but make one think of Chin shih-chieh-directed plays such as Ho-chu’s New Match and http://www.pwshop.com/html/english/drama-eng-21.html

Accidental Death of an Anarchist Premiere: November 12, 1995, National Arts Hall, Taipei ABOUT THE PLAY: Dario Fo¡¦s mischievous yet haunting work is set in a police station, where outside a crowd has gathered to protest the ¡§accidental¡¨ death of an anarchist who supposedly fell from the precinct window. The play is dominated by a seeming madman who has been apprehended by the police, released, but keeps hanging around while changing identities, gradually forcing the political truth from the other characters. The play was directed by Chin Shih-chieh, one of Taiwan¡¦s foremost playwright/directors in his own right, who had performed in many Workshop productions, and he brought a surrealistic touch to the zany action. The play also served as a showcase for the talents of Zhao Ziqiang, who played the main role, constantly transforming into different personas on stage. It also featured the set of noted architect John Wei-jan Yang. The political overtones in the play fit well with Taiwan politics, and the play opened at a time of several mysterious deaths in the Taiwan military, all claimed to be ¡§accidental,¡¨ but later proved to be the result of foul play. CREDITS Script: Dario Fo Translation: Stan Lai Adaptation: Stan Lai and Chin Shih-chieh Director: Chin Shih-chieh Cast: Zhao Ziqiang as the Clown Li Jien-chang as Policeman, Drummer

71. Chu Hsi And Divination Taipei shihchieh, 1967), p.14. The reason for indicating chu s omissions and additions to the text is that they seem to support the suggestion that he was http://www2.kenyon.edu/Depts/Religion/Fac/Adler/Reln471/Divination.htm

Chu Hsi and Divination From Kidder Smith, Jr., Peter K. Bol, Joseph A. Adler, and Don J. Wyatt, Sung Dynasty Uses of the I Ching (Princeton: Princeton University Press, 1990), chs. 6 and 7. Chinese translation (by Yang Lihua), "Zhu Xi yu Zhanshi," in Tian Hao (Hoyt Tillman), ed., Songdai Sixiang Shilun (Essays on Song Intellectual History) (Beijing: Chinese Academy of Social Sciences, 2003) Contents: Introduction The Problem of Mind Chu Hsi's Work on the I ... Notes In 1175 Chu Hsi wrote a letter to Chang Shih (1133-1180) describing what was to become the basis of his entire approach to the I Ching I recently had an idea about how to read the I . When the sages created the I it originally was to cause people to engage in divination, in order to decide what was permissible or not in their behavior, and thereby to teach people to be good.... Thus the hexagram and line statements are based simply on the images [the hexagram configurations and their symbolic correlations]. The two major aspects of Chu's I Ching studies are foreshadowed here: his theory of divination and his theory of interpretation. Chu claimed that the original meaning of the

72. Professor Name KuangYao Lo, shih-chieh Lo, Sheng-Yuan chu and Ren-chuan Chang, 2004, “The analysis of the growth of rf sputtering ZnO thin films using the optical http://www.ee.ncku.edu.tw/Chinese/member/professor/T602-chusy/z8702001e.htm

Chinese Version Sheng-Yuan Chu Position Professor Telephone number +886-6-275-7575 ext.62381 FAX E-mail chusy@mail.ncku.edu.tw Lab Department Building #1,Da-Tsuen Rd. Tainan Taiwan Courses 2003 Fall Circuit Analysis 2004 Spring Circuit Analysis Educations The Pennsylvania State University The Pennsylvania State University National Tsing - Hua University Experiences Professor, Department of Electrical Engineering, NCKU, R. O. C. (2004-) Associate Professor, Department of Electrical Engineering, NCKU, R. O. C. (2000-2004) Assistant Professor, Department of Electrical Engineering, NCKU, R. O. C. (1998-2000) Associate Professor, Da-Yeh University Associate Professor, Chien-Kuo Jr. College of Technology and Commerce (1994/8 - 1995/8) Specialities Honors NSC 88 research encouragement schlorship Patents Publication List A. Refereed Papers *: the corresponding author S. Y. Chu and K. Uchino, 1994, Effects of impurity doping on photostrictive effect in PLZT ceramics Advanced Performance Materials , V1, n2, pp. 129

73. Pascal's Triangle The Chinese mathematician chu Shih Chieh depicted the triangle and Below is a reproduction of the triangle from chu Shih Chieh, in Chinese numerals http://www.ualr.edu/~lasmoller/pascalstriangle.html

Did you know . . .? Pascal's triangle is named after the French mathematician and philosopher Blaise Pascal (1623-62), who wrote a Treatise on the Arithmetical Triangle describing it. But Pascal was not the first to draw out this triangle or to notice its amazing properties! Long before Pascal, 10th century Indian mathematicians described this array of numbers as useful for representing the number of combinations of short and long sounds in poetic meters. The triangle also appears in the writings of Omar Khayyam , the great eleventh-century astronomer, poet, philosopher, and mathematician, who lived in what is modern-day Iran. The Chinese mathematician Chu Shih Chieh depicted the triangle and indicated its use in providing coefficients for the binomial expansion of in his 1303 treatise The Precious Mirror of the Four Elements . Below is a reproduction of the triangle from Chu Shih Chieh, in Chinese numerals and in our arabic numerals: (Both illustrations from Georges Ifrah, The Universal History of Numbers from Prehistory to the Invention of the Computer Pascal's work on the triangle stemmed from the popularity of gambling. A French nobleman had approached him with a question about gambling with dice. Pascal shared the question with another famous mathematician, Fermat, and Pascal's

74. History Of Mathematics [encyclopedia] before Pascal s triangle became known in the West; and chu Shih Chieh, who took the Chinese arithmeticalalgebraic computational style to new heights. http://kosmoi.com/Science/Mathematics/History/

EncycloZine Astronomy Biology Chemistry ... A Short History of Nearly Everything Bill Bryson Salt: A World History Mark Kurlansky Recommendation: The Structure of Scientific Revolutions Thomas S. Kuhn The Great Influenza: The Epic Story of the Deadlie... John M. Barry Guns, Germs, and Steel: The Fates of Human Societi... Jared Diamond Recommendation: A Brief History of Time : The Updated and Expanded... Stephen Hawking They Made America: Two Centuries of Innovators fro... Harold Evans, Gail Buckland, David Lefer The Ancestor's Tale: A Pilgrimage to the Dawn of E... Richard Dawkins Longitude : The True Story Lone Genius Who Solved ... Dava Sobel Organic Chemistry (6th Edition) Leroy "Skip" G Wade History of Mathematics Kosmoi.com Science Mathematics History The earliest mathematical writer whose name we know was the Egyptian scribe Ahmes, who in c.1650 ¬BC copied an earlier text on handling fractions and solving arithmetical problems. But for at least 1000 years before that, the scribes in the great river civilizations of Egypt and Mesopotamia were developing ways of representing numbers and solving problems which are recognizably precursors of today's mathematical activity.

75. GEIST – The Board the Four Elements by the Chinese mathematician chu Shih Chieh in 1303. In this treatise, chu Shih Chieh indicated the use of the triangle in providing http://www.playgeist.com/board.asp

“The most beautiful thing one can experience is the mysterious. It is the source of all true Art and Science” – Albert Einstein Part of GEIST's magic is its alluring board. Unlike many other board games which use the board just to keep track of players' progress in the game, GEIST truly involves the board. In GEIST, players must use the relationships between the numbers on the board to generate their movements and the board itself is a tool in your arsenal for play. The GEIST board is based on a fabulous triangle called the Pascal's Triangle. The wonder of this mathematical beauty has never ceased to fascinate since its discovery in ancient times. It is not only known for its extraordinary internal patterns and relationships, but also for its applications in several fields of mathematics, and now in GEIST! For those already familiar with the Pascal's Triangle, I hope you will take delight in this new concept for a board game based on the fascinating triangle. In GEIST, the first seven rows of the triangle are repeated 4 times around the board, in a harmonious, symmetrical arrangement, and encircled by 4 unmarked squares on the outer corners. An original and artful game board was thus created and along with GEIST's clever rules of movement, gives you a most thrilling and challenging game! For the curious minds, read on to learn more about this mathematical marvel called the Pascal's Triangle! While the information conveyed below is not needed to play GEIST, it will reveal the secrets behind the triangle

76. The Fifth Arithmetical Operation Roots Solving Householder Newton Halley Bernoul •chu Shih Chieh (1303). •Rhabdas (1340). •Narayana (1350). •Rama (1450). •chuquet(1484). •Pacioli and Roche (15001520). •Tonstall (1522). •Fine (1525) http://mipagina.cantv.net/arithmetic/roots.htm

Roots Solving and The Rational Process This page contains some methods and observations extracted from the book: Dedicated to Nanci, Santiago and the eternal guiding soul of Dr. Jesús María García Corrales forever upon our path CONTENTS: Note: In this web page the Spanish acronym: Mr must be interpreted as Rational Mean Rm Roots Solving and The Rational Process Preliminaries Rational process (RP-1) for approximating the cube root of 2 Another rational process (RP-2), related to Bernoulli's method ... Conclusions Roots Solving and The Rational Process The True Story on Roots Solving Even though the early attempts on roots solving made by: , Yale No. 7289). There are no evidences of any natural method Preliminaries It is astonishing to realize that Number by itself bring us the most simple way to handle roots. In this way, the ancient sequence: However, even Nicomachus seems to have passed over this very simple connection between superparticular numbers and roots solving. In the figure 4.1 we see a set of two fractions [3/2, 4/3] whose product is trivial and equal to 2, that is, two approximations by defect and excess to the square root of 2. Also another set [4/3, 5/4, 6/5] whose product is trivial and equal to 2, that is, three approximations by defect and excess to the cube root of 2.

77. Primary Sources: Novels HsiangKang Chin jih shih chieh chu pan she, 1979. Helsinki Tammi, 1980. Stockholm Atlantis, 1983. Warsaw Panstwowy Instytut Wydawniczy, 1983. http://www.saulbellow.org/PrimarySources/Novels.html

The Official Saul Bellow Website Home Tribute About the Bibliographers Journal ... Search Tips Novels Publications and Translations , arranged alphabetically. The Actual Novel Overview New York: Viking, 1997. London: Penguin, 1998. Translations Helsinki: Tammi, 1997. Paris: Gallimard, 1998. Barcelona: Edicions 62, 1998. Madrid: Alfaguara, 1998 Copenhagen: Munksgaard, 1998. Tel Aviv: Zemorah-Bitan, 1999. The Adventures of Augie March Novel Overview New York: Viking, 1953, 1965. London: Weidenfeld and Nicolson, 1954, 1958, 1968. New York: Popular Library, 1955. Toronto: Macmillan, 1956. London: World Distributors, 1959. Greenwich, CT: Fawcett, 1960, 1965, 1967, 1970, 1973, 1974. New York: Compass-Viking, 1960. New York: Modern Library, 1965. New York: Random House, 1965. Harmondsworth: Penguin, 1966, 1971, 1977, 1984. New York: Penguin, 1977. New York: Avon, 1977.

78. Bureau Of Health ,Hsin-Chu City Shihchieh St. Bureau of Health , Hsinchu City. Bureau of Health ,Hsin-chu City Address No.111, Shihchieh St. , Hsin-chu City 300, Taiwan (ROC) http://www.hcchb.gov.tw/english/location.htm

Location of our bureau Location : Bureau of Health ,Hsin-Chu City Address : No.111, Shihchieh St. , Hsin-Chu City 300, Taiwan (R.O.C.)¡@ Tel : 03-5226133 E-mail: hc4300@ems.hccg.gov.tw Address : No.111, Shihchieh St. , Hsin-Chu City 300, Taiwan (R.O.C.)¡@Tel : 03-5226133

79. Bureau Of Health ,Hsin-Chu City Address No.111, Shihchieh St. , Hsinchu City 300, Taiwan (ROC). Tel 03 - 522 6133. E-mail hc4300@ems.hccg.gov.tw http://www.hcchb.gov.tw/english/contact.htm

Contact us Address : No.111, Shihchieh St. , Hsin-Chu City 300, Taiwan (R.O.C.) Tel : 03 - 522 6133 E-mail : hc4300@ems.hccg.gov.tw E-mail: hc4300@ems.hccg.gov.tw Address : No.111, Shihchieh St. , Hsin-Chu City 300, Taiwan (R.O.C.)¡@Tel : 03-5226133

80. Wang Bailin Hsinchia-po ? Shi Jie Ke Ji chu Ban She (Shih chieh ko chi chu pan she, ?), Hsing-chou Ta-po Hsing-chou shih chieh shu chu, 1961. http://overseaschineseconfederation.org/database/p.htm

P. Pa, Jen, 1897-. and Nan-ching. Chou. Yin-Tu-Ni-Hsi-Ya Chin Tai Shih. Ti 1 pan. ed. Pei-ching: Pei-ching ta hsueh chu pan she, 1993. Pacho, Arturo. "The Chinese Community in the Philippines Status and Conditions." Sojourn Social issues in Southeast Asia (Singapore) 1, no. 1 (Feb. 1986): 76-91. Pacho, Arturo G. "Policy Concerns and Priorities the Ethnic Chinese in the Philippines." Philippine Journal of Public Administration (Manila) 25, no. 2 (Apr 1981): 207-30. Pacho, Arturo G. "Methodological Problems in the Study of Political Attitudes of Ethnics the Chinese in the Philippines." Asian Profile (Hong Kong) 8, no.1 (Feb 1980): 79-93. Pacific Telephone and Telegraph Company. Hua Fu Tien Hua Hao Shu : San Fan Shih, Wu Lun Fu = Chinese- Telephone Directory: San Francisco and Oakland, California. [San Francisco]: Pacific Telephone and Telegraph Co., c1926. Pagkakaisa Research Staff. "A Religious and Moral." In McCarthy Charles J. ed. Philippine-Chinese profile essays and studies. Manila Unity for Progress 1974: 144-55. Pai yun tang nu ti tzu liu jen shu hua chan (1992: Hsing-chia-po kuo chia po wu yuan hua lang). Pai Yun Tang Nu Ti Tzu Liu Jen Shu Hua Chan = Paintings and Calligraphy by Six Lady Artists (Members of the White Cloud Hall). Singapore: Simon Yong, c1992.

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