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41. Political Animal: Comment On The Beatles Were Pretty Good Too
Linkmeister or Brahmagupta or tsu Ch ungchi? The latter s also written ZuChongzhi. Posted by Anarch on October 29, 2003 at 1050 AM PERMALINK
http://www.washingtonmonthly.com/mt/mt-comments.cgi?entry_id=2520

42. New Page 1
tsu Ch ung chi, (430501 AD), 355/113. al-Khwarizmi, (c. 800 ), 3.1416. al-Kashi,(c. 1430), 14 places. Viète, (1540-1603), 9 places
http://www.stanford.edu/~wavelet/pi/pi.html
Due to popular demand, I have decided to put the page from my old website onto here too..... For those who don't know, I once memorized pi to 2002 decimal places (you can say I was bored). I am even listed on the 1000-Club on Olle the Great's web site. I have now forgotten all but around the first 100 decimal places or so. A Treatise on Pi
The number has always been my favourite number because of its unparalleled aesthetic beauty. On this page, I shall provide an overview of this extraordinary number: its history, properties, and its interesting facts. History of Pi Ancient History is perhaps the most famous ratio in mathematics. It is defined as the ratio between the circumference of a circle and its diameter. Throughout the ages, mathematicians have strived to find the value of . One of the earliest reference to was recorded in the Rhind Papyrus during the Egyptian Middle Kingdom, and was written by a scribe named Ahmes around 1650 BC. Ahmes began the scroll with the words: "The Entrance Into the Knowledge of All Existing Things", and made passing remarks that he composed the scroll "in likeness to writings made of old." Towards the end of the scroll, which comprises of various mathematical problems and their solutions, the area of a circle is found using a rough sort of It is interesting to note that the number is also indrectly quoted in the Bible. There is a little-known verse that reads

43. Home Page Of MA 2108 And MA2108S
we obtain that Pi is about 3.14159264, a little more accurate than what our1500 years old ancestor did. tsu Ch ung chi ×æ³åÖ®(430501)
http://www.math.nus.edu.sg/~matwujie/Fall05/
MA 2108, Fall 2005
Advanced Calculus II
Lecturer: J. Wu e-mail: matwuj@nus.edu.sg Tutors: J. Wu e-mail: matwuj@nus.edu.sg ) and Jelena Grbic ( e-mail: matgj@nus.edu.sg Graders: Yang Jialiang ( e-mail: g0306107@nus.edu.sg ), Chen Yidi ( e-mail: yidi@nus.edu.sg Office: S14, 04-07, Faculty of Science, Lower Kent Ridge Road. Office Hours: Friday 2-4pm or by making appointment through e-mail e-mail: matwuj@nus.edu.sg Phone:
Problem-based learning of this module
Announcement
  • Important Notes on MA2108 and MA3110
  • Text Books:
  • R. G. Bartle and D. R. Sherbert, Introduction to real analysis , 3rd edition, John Wiley, 2000. ( Compulsory reading Relevant Sections and Suggested Exercises from Bartle and Sherbert's book W. Rudin, Principles of Mathematical Analysis, 3rd edition, McGraw-Hill, 1976. ( Supplementary reading Manfred Stoll, Introduction to real analysis , 2nd Edition, Addison Wesley Longman, Inc. press, 2001. James Stewart, Calculus , 4th Edition, Brooks/Cole Publishing Company press, 1999. Lecture Notes, consisting of 235 pages. Packed lecture notes 85 pages Syllabus
    Completeness axiom of the real number system. Sequences, limits (epsilon-N definition), monotone convergence theorem, Cauchy's criterion for convergence, sup, inf, lim sup and lim inf of a sequence. Infinite series, Cauchy's criteria, absolute and conditional convergence. Tests for convergence. Power series and the radius of convergence. Review of the elementary functions and their properties via power series. Pointwise and uniform convergence of a sequence of functions, Weierstrass M-test. Integration and differentiation of a series of functions.
  • 44. Music By Numbers
    (His name is tsu Ch ungchi in Wade-Giles romanisation, read So Chuushi in Japanese.)Lived AD 430 to 501, and obtained the approximations 22/7 and 355/133
    http://www.imaginatorium.org/books/mathmus.htm
    Music by numbers
    On this page Some books tying music and mathematics together (reviews in the order I wrote them) Robert Osserman - "Poetry of the Universe"
    Jamie James
    - "The Music of the Spheres"
    Thomas Levenson
    - "Measure for Measure"
    I was partly spurred into thinking about this by some nonsense I found about crop circles and "diatonic ratios". Claims that "no-one had ever previously linked mathematics to music" and stuff like that. Jamie James' book is the best to read as an antidote. Osserman is a close second, and Levenson a near miss. "Only gather 2, 3, 4, and 5 together, and the mumbo-jumbo artists of the world will construct a theory, a conspiracy, or a piece of magick." Making scales - Honest, yet ill-fitting work on the numbers
    Semitone calculator
    - Converts frequency (and harmonic) ratios to semitones
    The pentatonic scale
    - How is it really built?
    Crop circles
    - "Diatonic ratios" perhaps, but fairly obviously bogus
    Robert Osserman
    • "Euler and Bach lived in the eighteenth century and, as was traditional at the time, they worked under the patronage of the nobility or royalty."
    • "Beethoven and Gauss, by contrast, personified the romantic ideals of the early nineteenth century."

    45. Sci-Philately - A History Of Science On Stamps
    tsu Ch ung chi (430501) was a chinese mathematician and astronomer. His approximationof pi was 355/113, which is correct to six decimal places.
    http://ublib.buffalo.edu/libraries/asl/exhibits/stamps/math1.html
    MATHEMATICS AND COMPUTATION I
    The beginning of mathematics was primitive man's discovery of counting; adding one and one to make two is pictured on this stamp. Upon seeing two birds, an Egyptian makes the cerebral leap to count them on his fingers. ( Detail ) This stamp is the first in a set of ten issued by Nicaragua in 1970 which features important mathematical formulas that changed the face of the earth. Besides showing the law, equation, or formula, the name of its originator, and an application, the reverse of each stamp is printed with a brief paragraph in Spanish explaining the significance of the formula and its far-reaching applications in modern life. Presumably the user can ponder this educational message while licking the stamp; whether the recipient would appreciate it or be aware of it is another matter. The illustrations contain a wealth of interesting detail, and the sci-philatelic sleuth can enjoy identifying the many clues and their relationship to the original formula.
    A well-known theorem in geometry is named after Pythagoras, who flourished in the 6th century BC, and was a teacher in Samos, Babylon, and Egypt: the sum of the squares of the sides of a right triangle equals the square of the hypotenuse. Actually, the so-called Pythagorean triples were known already in Babylonian times. The striking design of the Greek stamp is a visual representation of the theorem. (

    46. The Contest Center - Pi
    6, 355/113, pi + .00000 0266, tsu Ch ung chi 450AD. 7, v527 v354 - 1,pi - .00000 0190, Rubin. 7, v73 - v29 + 8/43, pi + .00000 00839, Rubin
    http://www.contestcen.com/pi.htm
    A competition to find the best approximations for pi W I N I O N O W PI Competition
    The Contest Center
    59 DeGarmo Hills Road
    Wappingers Falls, NY 12590 W I N I O N O W
    Like this site?

    Please tell a friend
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    This is an open-ended competition to find the best possible approximations to pi (about 3.14159 26535 89793 23846 26433). A good approximation would be an expression which matches pi to more significant digits than the number of digits contained in that expression. For example, the most common approximation to pi is 22/7 which is about 3.14286. This contains 3 digits, and matches the first 3 digits of pi, so it is a fair approximation.
    We will consider 4 types of approximations. The first type uses only the mathematical operations of addition, subtraction, multiplication, division, and square root. It may not use other operations such as decimal fractions, exponentiation, logarithms, or any trig functions. For example, 355/113 (approximately pi+0.00000 0266) would be a valid expression, but 2 arcsin(1) would not. These approximations can be constructed with ruler and compass.
    The second type adds exponentiation and higher roots to the list of allowed operators. For example 7

    47. Database: Chinese Zen Masters (IRIZ)
    tsu-hsien, , Hoan Sosen. Puji, P u-chi, , Fujaku Songyuan Chongyue, Sung-yüan Ch ung-yüeh, , Shôgen Sûgaku
    http://iriz.hanazono.ac.jp/data/master00.en.html
    Home Database > Chinese Zen Masters
    Database
    Pinyin Wade-Giles Kanji Romaji Baiyun Shouduan Hakuun Shutan Baizhang Huaihai Pai-chang Huai-hai Bajiao Huiqing Pa-chiao Hui-ch'ing Baofeng Kewen Pao-feng K'o-wen Bojian Jujian Hokkan Kokan Caoshan Benji Ts'ao-shan Pen-chi Changsha Jingcen Ch'ang-sha Ching-ts'en Chuji Ch'u-chi Shojaku Dahong Zuzheng Ta-hung Tsu-cheng Dahui Zonggao Ta-hui Tsung-kao Damei Fachang Ta-mei Fa-ch'ang Danxia Zichun Tan-hsia Tzu-ch'un Tanka Shijun Danyuan Yingzhen Tangen Oshin Daowu Yuanzhi Tao-wu Yuan-chih Daoxin Tao-hsin Daoxuan Deshan Xuanjian Tokusan Senkan Deshan Yuanmi Tokusan Enmitsu Dongshan Liangjie Tung-shan Liang-chieh Dongshan Shouchu Tung-shan Shou-ch'u Doushuai Congyue Fachi Fa-ch'ih Farong Fa-jung Fayan Wenyi Fa-yen Wen-i Fengxue Yanzhao Fenyang Shanzhao Fen-yang Shan-chao Fozhao Deguang Fo-chao Te-kuang Gaofeng Yuanmiao Guifeng Zongmi Kuei-feng Tsung-mi Guishan Lingyou Kuei-shan Ling-yu Hangzhou Tianlong Hang-chou T'ien-lung Heze Shenhui Ho-tse Shen-hui Kataku Jinne Hongran Hung-jen Gunin Huangbo Xiyuan Obaku Kiun Huanglong Huinan Huang-lung Hui-nan Huguo Jingyuan Gokoku Keigen Huifang Hui-fang Huike Hui-k'o Eka Huineng Hui-neng Huitang Zuxin Hui-t'ang Tsu-hsin Huiyan Zhizhao Hui-yen Chih-chao Huizhong Hui-chung Huoan Shiti Huo-an Shih-t'i Wakuan Shitai Huqiu Shaolong Hu-ch'iu Shao-lung Jingshan Daoqin Ching-shan Tao-ch'in Jingshan Ruyan Ching-shan Ju-yen Kinzan Nyoen Juzhi Gutei Kaifu Daoning K'ai-fu Tao-ning Lanxi Daolong Lan-shi Tao-lung Leian Zhengshou Lei-an Cheng-shou Linji Yixuan Rinzai Gigen Longtan Chongxin Lung-t'an Ch'ung-hsin Luohan Guichen

    48. Yet Another Story Of Pi
    About 150 AD, Ptolemy of Alexandria (Egypt) gave its value as 377/120 and inabout 500 AD the chinese tsu Ch ungchi gave the value as 355/113.
    http://www.geocities.com/CapeCanaveral/Lab/3550/pi.htm
    The story of pi
    by Lazarus Mudehwe
    Undoubtedly, pi is one of the most famous and most remarkable numbers you have ever met. The number, which is the ratio of circumference of a circle to its diameter, has a long story about its value. Even nowadays supercomputers are used to try and find its decimal expansion to as many places as possible. For pi is one of those numbers that cannot be evaluated exactly as a decimal - it is in that class of numbers called irrationals. The hunt for pi began in Egypt and in Babylon about two thousand years before Christ. The Egyptians obtained the value (4/3)^4 and the Babylonians the value 3 1/8 for pi. About the same time, the Indians used the square root of 10 for pi. These approximations to pi had an error only as from the second decimal place. (4/3)^4 = 3,160493827... 3 1/8 = 3.125 root 10 = 3,16227766... pi = 3,1415926535... The next indication of the value of pi occurs in the Bible. It is found in 1 Kings chapter 7 verse 23, where using the Authorised Version, it is written "... and he made a molten sea, ten cubits from one brim to the other : it was round about ... and a line of thirty cubits did compass it round about." Thus their value of pi was approximately 3. Even though this is not as accurate as values obtained by the Egyptians, Babylonians and Indians, it was good enough for measurements needed at that time. Jewish rabbinical tradition asserts that there is a much more accurate approximation for pi hidden in the original Hebrew text of the said verse and 2 Chronicles 4:2. In English, the word 'round' is used in both verses. But in the original Hebrew, the words meaning 'round' are different. Now, in Hebrew, etters of the alphabet represent numbers. Thus the two words represent two numbers. And - wait for this - the ratio of the two numbers represents a very accurate continued fraction representation of pi! Question is, is that a coincidence or ...

    49. The Pie Cafe: History Of Making Pi
    380, Siddhanta, 3.1416. 480? tsu Ch ung chi, 3.1415926. 499, Aryabhata, 3.14156.640? Brahmagupta, 3.162277 (sq rt of 10). 800, AlKhowarizmi, 3.1416.
    http://library.thinkquest.org/26728/s1p2.htm
    Long Long Ago
    So, Jesus Christ is born. It is a start of a new era. But hey, most of the people you see below are Eastern. Hmm... Alright. It is the people in the East who start to breakthrough Mathematics. Before Christ Long Long Ago Born of the Geeks Breakthroughs ... Technology 139 A.D. Hon Han Shu 3.1622 (sq rt of 10?) Ptolemy Chung Hing 3.16227 (sq rt of 10) Wang Fau Liu Hui Siddhanta Tsu Ch'ung Chi Aryabhata Brahmagupta 3.162277 (sq rt of 10) Al-Khowarizmi

    50. Pi As A Series Of Images: The Imachinations
    Syracuso (Sicilia) – Archimedes 250? bd Pi=3.1418. Alexandria new library –Ptolemaios 150 ad Pi=3.14166. Hopeh/china tsu Ch ung chi 480? Pi=3.1415926
    http://www.imachination.net/next100/brainstorm/pi.html
    Pi
    The Imachinations use Pi as a contrast medium. On one side the products of Pi are calculated, but on the other side the results of the irrational number often appear accidental. Above all the number of Pi is irrational and transcendent .The history shows the mathematical development of Pi.
    history of pi
    (3.141592653589793238462643383 etc.) Syracuso (Sicilia) Alexandria new library – Ptolemaios: 150 ad Pi=3.14166 Hopeh/China: Tsu Ch'ung Chi 480? Pi=3.1415926 Baghdad - Al-Khowarizmi 800 ad Pi=3.1416
    new library of alexandria
    Ist Pi völlig "normal"? telepolis , heise.de 05.08.2002 A Trillion Pieces of Pi , Science News Online, Dec. 2002 Random Generator and Normal Numbers , by Bailey und Crandall (Pdf, 2003) Pi in the sky - extracting a (surprisingly accurate) value for "pi" from the appearance of the night sky by Robert A. J. Matthews further Pi Pages on the Internet back

    51. Disciples Of Confucius: Information From Answers.com
    After the death of Confucius, chi K ang asked Yen how that event had made nosensation The name is given by others as T ang (? and ?) and tsu (?),
    http://www.answers.com/topic/disciples-of-confucius
    showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Disciples of Confucius Wikipedia Disciples of Confucius Sima Qian makes Confucius say: The disciples who received my instructions, and could themselves comprehend them, were seventy-seven individuals. They were all scholars of extraordinary ability. The common saying is, that the disciples of the sage were three thousand, while among them there were seventy-two worthies. Here is a list of all those whose names have come down to us, as being his followers. Of the greater number it will be seen that we know nothing more than their names and surnames but some of them are mentionned in the Analects of Confucius
    Yan Hui
    State of Lu , the favourite of his master, whose junior he was by thirty years, and whose disciple he became when he was quite a youth. After I got Hui, Confucius remarked, the disciples came closer to me. We are told that once, when he found himself on the Nang hill with Hui, Zilu, and Zigong, Confucius asked them to tell him their different aims, and he would choose between them. Zilu began, and when he had done, the master said, It marks your bravery.

    52. Lunar Republic : Craters
    tsu Ch ung chi. 17.3N. 145.1E. 28. ~ (430501), chinese mathematician andmathematician; He gave the rational approximation 355/113 to which is correct to
    http://www.lunarrepublic.com/gazetteer/crater_t.shtml
    Craters (T)
    Craters A B C D ... Return To Gazetteer Index Common Name Lat Long Diam Origin T. Mayer Johann Tobias ~ (1723-1762), German astronomer, cartographer and mathematician; first to determine the libration of the Moon. Tacchini Pietro ~ (1838-1905), Italian astronomer; director of the observatories at Modena, Palermo and the Collegio Romano. Tacitus Cornelius ~ (c. 55-120?), Roman politician, philosopher and historian. Tacquet André ~, S.J. (1612-1660), Belgian Jesuit and mathematician; his work helped pave that way for the discovery of the calculus. Taizo Japanese male name.

    53. The Wonders Of Pi - The Pi Timeline
    tsu Ch ung chi, 480? 7, 3.1415926. Aryabhata, 499, 4, 3.14156. Brahmagupta, 640?1, 3.162277. AlKhowarizmi, 800, 4, 3.1416. Fibonacci, 1220, 3, 3.141818
    http://people.bath.ac.uk/ma3mju/time.html
    The PI Timeline [The Pi Timeline] [The Ancients] [The Age Of Newton] [Twentieth Century] This table below is a timeline of PI since 2000 BC to almost present, it shows the approximate number used and the number of digits calculated. Era/Mathematician Date Correct Digits Calculated Approximation Found
    The Ancients
    Babylonians 2000? BC Egyptians 2000? BC China 1200? BC Bible 550? BC Archimedes 250? BC Hon Han Shu 130 AD Ptolemy Chung Hing Wang Fau Liu Hui Siddhanta Tsu Ch'ung Chi Aryabhata Brahmagupta Al-Khowarizmi Fibonacci Al-Kashi Otho Viete Romanus Van Ceulen Van Ceulen
    Pre Twentieth Century
    Newton Sharp Seki Machin De Lagny (112 Correct) Takebe Kamata Matsunaga Vega Rutherford (152 correct) Strassnitzky and Dase Clausen Lehmann Rutherford Shanks (527 Correct)
    Twentieth Century
    Ferguson Ferguson Jan 1947 Ferguson and Wrench Sept. 1947 Smith and Wrench Reitwiesner et al. (ENIAC) Nicholson and Jeenel Felton Genuys Jan. 1958

    54. The Imperial Dynasties Of China
    Yungchi. T ai-wu. Chung-ting. Wai-jen. Tsien-chia. tsu-yi. tsu-hsin. Ch iang-chia 145 - 146, Ch ung Ti. 146 - 147, chih Ti. 147 - 168, Huan Ti
    http://www.kessler-web.co.uk/History/KingListsFarEast/ChinaDynasties.htm
    Far East Kingdoms
    China
    CHINA The Legendary Period, Age of the Five Rulers - 647 years HSIA / XIA DYNASTY
    2205 - 1766 BC (1962 - 1523 BC) 2205 BC Yu the Great Upper China; Longhan Period. Founder of Xia Dynasty. First historical Dynasty of China. Capital probably at Erlitou. 16 succeeding emperors in this line. SHANG DYNASTY
    1766 - 1122 BC (1523 - 1028 BC) BC Ch'eng-tang T'ai-chia Wu-ling T'ai-keng Hsiao-chia Yung-chi T'ai-wu Chung-ting Wai-jen Tsien-chia Tsu-yi Tsu-hsin Ch'iang-chia Tsu-ting Nan-keng Hu-chia P'an-keng Hsiao-hsin Hsiao-yi Wu-ting Tsu-kêng Tsu-chia Lin-hsin K'ang-tin Wu-yi Wên-wu-ting Ti-yi - 1122 BC Ti-hsin CHOU / ZHOU DYNASTY
    1122 - 255 BC (1027 - 256 BC) EARLY ZHOU PERIOD
    1122 - 771 BC WESTERN ZHOU EASTERN ZHOU
    1122 - 722 BC 1122 - 722 BC Capital: Hao. Capital: Luoyang. 1100 BC Wu Wang Western Zhou. Chêng Wang K'ang Wang ar.950 BC Chao Wang Western Zhou. Mu Wang Kung Wang I Wang Hsiao Wang I Wang 878 BC Li Wang 841 BC First solid date in Chinese chronology. 827 BC Hsüan Wang 781 - 771 BC Yu Wang Western Zhou.

    55. Continued Fractions From Euclid Till Present
    The continued fraction convergent p»355/113 was known to tsu Ch ung chi born inFanyang, china in 430 AD. More recently, the Swiss mathematician Lambert
    http://algo.inria.fr/seminars/sem98-99/vardi1-2.html
    Continued Fractions from Euclid till Present
    Ilan Vardi
    IHES, Bures sur Yvette
    Algorithms Seminar

    October 19, 1998
    [summary by Philippe Flajolet]
    A properly typeset version of this document is available in postscript and in pdf
    If some fonts do not look right on your screen, this might be fixed by configuring your browser (see the documentation here
    Continued fractions have fascinated mankind for centuries if not millennia. The timeless construction of a rectangle obeying the ``divine proportion'' (the term is in fact from the Renaissance) and the ``self-similarity'' properties that go along with it are nothing but geometric counterparts of the continued fraction expansion of the golden ratio, f
    Geometry was developed in India from the rules for the construction of altars. The Sulva S u tra (a part of the Kalpa S u tra hypothesized to have been written around 800 BC) provides a rule for doubling an area that corresponds to the near-equality:
    (correct to 2 10 Exclusively for these seminar proceedings, we propose the original observation that the third and fourth partial sums in ( ), namely 17/12 and 577/408, are respectively the fourth and eighth convergents to (2)

    56. Complete Bibliography Of The Writings Of Ch'en Yin-k'o And Fu Ssu-nien
    chiawu ling-nan ch un-mu i yen-ching ch ung-hsiao-ssu mu-tan chi ch ing-sunghung-hsing Liu Fu-yü i-wen chung nien-yüeh chi ch i pu ssu-tsu wen-t i
    http://www.let.leidenuniv.nl/axelschneider/cykfsnie.htm
    Complete Bibliography of the Writings of
    Ch'en Yin-k'o and Fu Ssu-nien
    Since many of the personal letters, manuscripts etc. of Fu Ssu-nien and probably of Ch'en Yin-k'o too have not yet been published or made accessible to the public this "Complete Bibliography" is far from complete. It includes all writings that have been published (most of it in collections ) or have been mentioned in research on Ch'en and Fu. If anything that already has been published is missing or if you discover any mistakes please contact me at
    a.schneider@let.leidenuniv.nl
    Abbreviations
    CMKTKCP Chin-ming-kuan ts'ung-kao ch'u-pien, by Ch'en Yin-k'o CMKTKEP Chin-ming-kuan ts'ung-kao erh-pien, by Ch'en Yin-k'o CYK Ch'en Yin-k'o CYKWC Ch'en Yin-k'o hsien-sheng wen-chi CYKLW Ch'en Yin-k'o hsien-sheng lun-wen-chi CYKLWPP Ch'en Yin-k'o hsien-sheng lun-wen-chi pu-pien FSN Fu Ssu-nien FSNCC FSNP Fu Ssu-nien Papers HLTC Han-liu-t'ang chi, by Ch'en Yin-k'o HLTC ST Han-liu-t'ang chi shih-ts'un, by Ch'en Yin-k'o HSWT Hu Shih wen-ts'un KSP Ku-shih-pien WKTCC YPSCC Yin-pin-shih chuan-chi, by Liang Ch'i-ch'ao

    57. The Pineal Gland, LSD, And Serotonin — Updated: October 15, 1996
    Answer (The tsu ch iao cavity in) the center of the brain branches out one stands for t ai chi (supreme ultimate) and the right one for ch ung ling
    http://www.serendipity.li/mcclay/pineal.html
    The Pineal Gland,
    LSD and Serotonin
    Russ McClay
    March 19, 1976 From a pharmacology paper prepared at
    Orange Coast College
    , Costa Mesa, California Om Mani Padme Hum!
    Overview: To present correlations between the Pineal Gland, the psychopharmacological molecule LSD and, its antagonistic neurotransmitter Serotonin.
    Outline of the Paper
  • Brief Description of the Discovery - Historical Findings
  • Descartes
  • Ancient anatomy - to 14th Century
  • Initial misinterpretations of evidence
  • Description of the General Location of the Pineal Gland
  • Brain sections surrounding the pineal
  • Where the Serotonin is manufactured
  • The location of the pineal in various animals
  • Pacific Treefrog - Hyla regilla
  • Sea Lamprey - Petromyzon marinus
  • Western Fence Lizard - Sceloporus occidentalis
  • South American mammal-like reptile - Lystrosaurus murrayi
  • The Optic "Third Eye" Compared to the Endocrinal Pineal Gland
  • The various animals with protruding pineal receptors
  • Other evidence of the optical quality of the Pineal Gland
  • Speculation of the connectional relation of the semi-mythical 'Third Eye' and the factual pineal gland
  • Recent Findings of Pineal Function and Its Physiology
  • Biorhythmic cycles
  • Sex hormones and their relation to light
  • Day/night cycles (circadian - light/dark phases)
  • Serotonin and melatonin - their role in the Pineal
  • Serotonin, LSD and the Pineal Gland
  • 58. Prime Curios!: 113
    tsu Ch ungchi (430-501 AD) and his son stated that pi is approximately 355/113.The smallest prime factor of 12345678910111213 (the concatenation of the
    http://primes.utm.edu/curios/page.php?number_id=109

    59. Lebensdaten Von Mathematikern
    ung (um 430 - 501) Ch in chiu-Shao (1202 - 1261) Ch ung chi tsu (um430 - 501) Church, Alonzo (1903 - 1995) Civita, Tullio Levi- (1873 - 1941
    http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html
    Diese Seite ist dem Andenken meines Vaters Otto Hebisch (1917 - 1998) gewidmet. By our fathers and their fathers
    in some old and distant town
    from places no one here remembers
    come the things we've handed down.
    Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909)
    Abel, Niels Henrik (5.8.1802 - 6.4.1829)
    Abraham bar Hiyya (1070 - 1130)
    Abraham, Max (1875 - 1922)
    Abu Kamil, Shuja (um 850 - um 930)
    Abu'l-Wafa al'Buzjani (940 - 998)
    Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843)

    60. From Vincent R. Johns Vjohns@cliff.backbone.uoknor.edu
    result was that of Lazzerini (1901), who made 34080 tosses and got pi =355/113 = 3.1415929 which, incidentally, is the value found by tsu Ch ung chi.
    http://www.math.niu.edu/~rusin/known-math/96/buffon
    From: "Vincent R. Johns"

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