## Feb 8, 2010

1. ### Pi - Wikipedia, the free encyclopedia

The first such representation was the Viète's formula, .... Pi and continued fraction. The sequence of partial denominators of the simple continued fraction ...
en.wikipedia.org/wiki/Pi -
2. ### Pi - Wikipedia, the free encyclopedia

The first such representation was the Viète's formula, ..... a b A001203: Continued fraction for Pi, On-Line Encyclopedia of Integer Sequences ...
en.wikipedia.org/wiki/pi?a -
3. ### Viète's Nested Square Root Representation of Pi - Wolfram ...

... Approximating Pi with Continued Fractions · Wallis Sieve Pi Approximation ... "Viète's Nested Square Root Representation of Pi" from the Wolfram ...
demonstrations.wolfram.com/VietesNestedSquareRootRepresentationOfPi/ -
4. ### Pi - Wolfram Demonstrations Project

Viète's Nested Square Root Representation of Pi · Approximating Pi with ... Approximations of Pi · Geometric Mean of Continued Simple Fraction Terms ...
demonstrations.wolfram.com/topic.html?topic=Pi&limit=20 -
5. ### Math History

Viete used decimals in this work, but wrote them differently to how we now write them. ... for 100 000 times pi, the number we would write as 314 159.26535. .... He was also the first to use the term "continued fraction," although ...
www.csun.edu/~hbund408/math%20history/math.htm -
6. ### A history of [pi] (pi) - Google Books Result

Petr Beckmann - 1971 - Mathematics - 200 pages
Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by ...
7. ### Machin's Formula

PI and Machin's Formula. ... Viète (1540-1603) 9 places. Roomen (1561-1615) 17 places ... definite integral and continued fraction representations. ...
milan.milanovic.org/math/english/pi/machin.html -
8. ### Ken's blog: Pi formulae

Pi formulae. Decimal expansion; Simple continued fraction expansion; ... http://functions.wolfram.com/Constants/Pi/08/0007/; Viète (NB: The product starts ...
kenta.blogspot.com/2009/03/pi-formulae.html -
9. ### Mathematical Constants

Viete's formula for pi. and Isaac Newton used 22 terms of this series to find pi .... whose numbers are the Fibonacci numbers Continued fractions and the ...
www.po28.dial.pipex.com/maths/constant.htm -

Pascal Desargues Wallis Viete Kepler Lord Brouncker Galileo Huygens ... reciprocal squares is pi^2/6; Sam Fotis: Continued fractions and the Riccati equation ... Euler: On the transformation of infinite series into continued fractions ...
www.math.ohio-state.edu/~sinnott/.../homepage.html -
11. ### The Story of Pi - Resonance-Pub.Com

H. Havermann, Simple Continued Fraction Expansion of Pi. ... F. Viète, Variorum de Rebus Mathematicis Reponsorum Liber VIII, 1593; Pi: A Source Book, pp. ...
www.resonancepub.com/pi.htm -
12. ### CRC concise encyclopedia of mathematics - Google Books Result

Eric W. Weisstein - 2003 - Mathematics - 3242 pages
Ogilvy, CS "Pi and Pi-Makers." Ch. 10 in Excursions in Mathematics. New York: Dover, pp. 108-120, 1994. Olds, CD Continued Fractions. ...
13. ### PlanetMath: pi

Ramanujan's formula for pi (Theorem) by alozano. Feynman point (Example) by PrimeFan continued fraction of pi (Example) by PrimeFan ...
planetmath.org/encyclopedia/Pi.html -
14. ### Online Encyclopedia and Dictionary - Pi

Pi is also known as Archimedes' constant (not to be confused with Archimedes' number) and .... π has many continued fractions representations, including: ...
fact-archive.com/encyclopedia/Pi -
15. ### 數 學資料庫 - 數學趣趣地 - 數學文章

and substituting x=Pi/2 , he get. Equation. After Viète, John Wallis (1616 ... (1620 - 1684) turned this product into the first continued fraction of p: ...
www.mathdb.org/articles/history_pi/e_history_pi.htm -
16. [PDF]

### PI, FOURIER TRANSFORM AND LUDOLPH VAN CEULEN

File Format: PDF/Adobe Acrobat - Quick View
by M Vajta - Related articles - All 10 versions
number of new algorithms in the form of infinite series, products or continued fractions possible. François. Viète, a lawyer and amateur mathematician, ...
www.math.utwente.nl/~vajtam/publications/temp00-pi.pdf -
17. ### The geometric period

... (this value is one of the partial quotients of the continued fraction of Ö3). .... 1579 : François Viète (1540-1603, France): 9 digits with a polygon of ... [8]: H.C. Schepler, The Chronology of Pi, Mathematics Magazine, (1950) ...
numbers.computation.free.fr/Constants/Pi/pigeometry.html -
18. ### References

[31]: J.M. Borwein and P.B. Borwein, Pi and the AGM - A study in ... [40]: R.P. Brent, Computation of the regular continued fraction for Euler's constant, Math. ..... [210]: F. Viète, Opera Mathematica (reprinted), Georg Olms Verlag, ...
numbers.computation.free.fr/Constants/biblio.html -
19. [PPT]

### The history of pi

File Format: Microsoft Powerpoint - View as HTML
1593 François Viète finds first infinite product to describe pi. 1593 Adrian Romanus finds pi to 15 ... 1655 Brouncker converts it to a continued fraction. ...
docushare.edutech.org/dsweb/Get/Document.../The+history+of+pi.ppt -
20. ### Pi, a source book - Google Books Result

Lennart Berggren, Jonathan M. Borwein, Peter B ... - 2004 - Science - 797 pages
Viete. Variorum de Rebus Mathematicis ... continued fraction expression for 4/ pi. 12. Huygens. De Circuli Magnitudine Inventa (1654) 81 Huy gens' s ...
21. ### pi

Note that this continued fraction is not periodic. Pi or π is a .... The first such representation was the Viète's formula, found by François Viète in 1593. ...
www.scribd.com/doc/16208559/pi -
22. ### The Life of Pi - From des to ENIAC and Beyond

Of course 22/7 is one of the early continued fraction approximations to π. .... Pi's Adolescence. The dawn of modern mathematics appears in Vieta's or ...
www.scribd.com/The-Life-of-Pi-From-des-to...and.../18635007 -
23. ### The Number \$\pi\$, Pierre Eymard, Book - Barnes & Noble

2.1, Viete's infinite product, 44 ... 2.11, Continued fractions for [pi], 65. 2.12, The formula of Bailey, Borwein and Plouffe, 79 ...
search.barnesandnoble.com/The-Number-pi/Pierre.../9780821832462 -
24. ### A PI, Len Berggren, Book - Barnes & Noble

9 Viète. Variorum de Rebus Mathematicis Reponsorum Liber VII (1593) .... of the irrationality of pi is based on a complicated continued fraction expansion. ...
search.barnesandnoble.com/A-PI/Len-Berggren/e/9780387949246 -
25. ### Pi: Facts, Discussion Forum, and Encyclopedia Article

The first such representation was the Viète's formula, ..... Pi and continued fraction. The sequence of partial denominators of the simple continued ...
www.absoluteastronomy.com/topics/Pi -
26. ### a general treatise - BooNet Personal Accounts, your ISP serving MD ...

And Brouncker transformed that into a continued fraction 4/pi = 1 + 1ý ...... 1593 Francois Viete finds pi as an infinite irrational product composed of an ...
www.boo.net/~jasonp/pi-ref.txt -
27. ### Wapedia - Wiki: Pi

(This continued fraction is not periodic. Shown in linear notation) .... The first such representation was the Viète's formula,. found by François Viète in ...
wapedia.mobi/en/Pi -
28. ### Pi-unleashed: - Google Books Result

Jörg Arndt, Christoph Haenel - 2001 - Computers - 270 pages
Francois Viete (1540-1603) developed the first infinite product for 2/7r in ... 1620-1684) made his mark in 1658 with the first ever continued fraction for ...
29. ### What does pi equal? - Yahoo! Answers

5 Dec 2007 ... Continued fraction. Note that this continued fraction is not periodic. .... The first such representation was the Viète formula, ...
answers.yahoo.com › Science & MathematicsMathematics -
30. ### What is pi? - Yahoo! Answers

1 The letter pi 2 Definition 3 Properties 4 Formulae 4.1 Geometry 4.2 Analysis 4.3 Continued fractions 4.4 Number theory 4.5 Dynamical systems and ergodic ...
31. ### Viete biography

Viète continued to serve Henry IV in Paris until 1597 when he went back to his .... Extract from Works (printed 1609) showing the use of decimal fractions. ... History Topics: Pi through the ages · History Topics: A chronology of pi ...
www-history.mcs.st-and.ac.uk/Biographies/Viete.html -
32. ### Mathematical Chronology

Shen Kua writes Meng ch'i pi t'an (Dream Pool Essays), which is a work on mathematics, .... Viète begins publishing the Canon Mathematicus which he intends as a mathematical .... Brouncker gives a continued fraction expansion of 4/π . ...
www-history.mcs.st-and.ac.uk/Chronology/full.html -
33. ### Pi -- from Wolfram MathWorld

Gosper, R. W. Table of Simple Continued Fraction for pi .... Viète, F. Uriorum de rebus mathematicis responsorum, liber VIII, 1593. Wagon, S. "Is pi Normal? ...
mathworld.wolfram.com › Number TheoryConstantsPi -
34. ### Pi Formulas -- from Wolfram MathWorld

in terms of the inverse tangents of unit fractions is Machin's formula ..... Vieta (1593) was the first to give an exact expression for pi by taking n=4 ...
mathworld.wolfram.com › Number TheoryConstantsPi -
35. ### The Chronology of PI

by HC Schepler - 1950 - Cited by 14 - Related articles - All 3 versions
Francois Vieta (1540-1603) (Paris, France). Between 3.1415926535 .... the Royal Society, who brought it into the form of a continued fraction: ...
www.jstor.org/stable/3029832 -
36. ### THE MATHEMATICAL GAZE'II'E The last chapter is devoted to a study ...

by S Abbott - 2000
divisibility, continued fractions and 'cleavages'. BUD WINTER1DGE .... A publication like Pi: a source book therefore has two advantages: firstly, ... The new edition includes translations of the Latin papers (by Viete and ...
www.jstor.org/stable/3620800 -
37. [PDF]

### Contents

File Format: PDF/Adobe Acrobat - View as HTML
Viète. Variorum de Rebus Mathematicis Reponsorum Liber VII (1593) 53. Two excerpts. ... Brounker's continued fraction expression for 4/pi. 12. Huygens. ...
www.gbv.de/dms/hbz/toc/ht014026936.pdf -
38. ### Formulas

[Wallis, late 1600s]; 4/Pi = 1+1/(2+32/(2+52/(2+72/(2+... continued fraction. ... [François Viète, late 1500s] Significance: First infinite expression for ...
www.immortaltheory.com/NumberTheory/formulas.htm -
39. ### Viete

Viète continued to serve Henry IV in Paris until 1597 when he went back to his ... wrote decimal fractions with the fractional part printed in smaller type than ... Also, in this book, he calculated pi to 10 places using a polygon of ...
202.38.126.65/mirror/www-history.mcs.st-and.ac.../Viete.html -
40. ### StateMaster - Encyclopedia: Pi

François Viète, 1593 (proof). frac{sqrt2}2 cdot frac{sqrt{2+sqrt2}}2 ..... The continued fraction representation of π can be used to generate successively ...
www.statemaster.com/encyclopedia/Pi -
41. [PDF]

### The History of Pi - Department of Mathematics, Texas A&M University

File Format: PDF/Adobe Acrobat - Quick View
The French mathematician Francois Vieta (1540-1603), the first .... He proves this using a continued fraction expansion of e given by Euler in ...
www.math.tamu.edu/~dallen/masters/alg_numtheory/pi.pdf -
42. ### Greatest Mathematicians born between 400 and 1580 A.D.

He also did work with continued fractions, trigonometry, and geometry. ... Francois Viete (or Franciscus Vieta) was a French nobleman and lawyer who was a ... PI := 2 Y := 0 LOOP: Y := SQRT(Y + 2) PI := PI * 2 / Y IF (more precision ...
james.fabpedigree.com/grmatm2.htm -
43. ### Using Metode Roseta Nusantara can determine various constants ...

http://www.courses.fas.harvard.edu/~fs5/pi/M8TechTree/Vieta's%20Product.mcd .... fractions and then form the new fraction, we get the correct answer. ...
www.ilmi.50webs.com/lbkn3.htm -
44. ### The story of pi - Gresham College | Lectures and Events

17 Jan 2007 ... New approaches were given by Francois Viète and John Wallis, who obtained infinite ... This approach was continued by others: for example, ... it cannot be written as a fraction a/b, where a and b are whole numbers. ...
-
45. ### PI, FOURIER TRANSFORM AND LUDOLPH VAN CEULEN

... products or continued fractions possible. François Viète, a lawyer and amateur mathematician, was the first who expressed p by an infinite product in ...
wwwhome.math.utwente.nl/~vajtam/...3/temp00-pi.htm -
46. ### MATHEMATICAL PUBLICATIONS

The united Vieta's and Wallis's products for pi, American Mathematical Monthly, .... A proof of the continued fraction for e^1/M, American Mathematical ...
www.rowan.edu/open/depts/math/osler/my_papersl.htm -
47. ### Thomas J. Osler

The united Vieta's and Wallis's products for pi, American Mathematical Monthly, ..... A proof of the continued fraction for e^1/M, American Mathematical ...
www.rowan.edu/open/depts/math/.../research_past_six_years.html -
48. ### [Copied from http://www.glue.umd.edu/~jasonp/pi-ref.txt on 10/7/98 ...

It is not known whether the regular continued fraction of pi has any .... 1593 Francois Viete finds pi as an infinite irrational product composed of an ...
www.cs.princeton.edu/courses/archive/fall98/cs126/refs/pi-ref.txt -
49. ### Why is Pi a magic number. It crops up all over mathematics ...

3 Sep 2006 ... H. Havermann, Simple Continued Fraction Expansion of Pi. ... F. Viète, Variorum de Rebus Mathematicis Reponsorum Liber VIII, 1593; Pi: A ...
50. ### A History of Pi (Paperback) by Petr Beckmann - Reviews, Discussion ...

But the history of Pi, (i.e. the history of maths), is a mirror of the history of Man. .... at one point I think he asks, "How many Newtons have died in Viet Nam? ... I wish more information about continued fractions and...more An ...
51. ### What They Don't Tell You About Pi in High School

In the sixteenth century, Francois Vieta of Paris found pi to nine decimal ... but nevertheless, mathematicians continued to calculate pi to more and more decimal places. ... Or as the infinite fraction: = ( )( )( )( )( )( )( )( )… ...
www.mscf.uky.edu/~lee/ma502/pi/MA502piproject.html -
52. [PDF]

### The Life of Pi: From Archimedes to Eniac and Beyond 1 Preamble: Pi ...

File Format: PDF/Adobe Acrobat - View as HTML
29 Jul 2004 ... Of course 22/7 is one of the early continued fraction .... The dawn of modern mathematics appears in Vieta's or Viéte's product (1579) ...
locutus.cs.dal.ca:8088/archive/00000265/01/pi-culture1.pdf -
53. ### The Math Forum - Math Library - Number Theory

... Fibonacci, Vieta, conic sections, mathematics at Princeton ...more>> ... its multiples and powers, continued fractions, formulae, and numerical relations ... A complete history of pi, with resources for teachers for anything from ...
mathforum.org/library/topics/number_theory/?keyid...at... -
54. [PDF]

### Transcendental vs. Algebraic Numbers

File Format: PDF/Adobe Acrobat - Quick View
Euler also gave the continued fraction expansions of e and noticed a pattern, ... Egyptian and Mesopotamian values of pi were estimated by 25/8 = 3.125 (2, pg 1) ... Viete in late 1500s to 9 places. Roomen in 1600s to 17 places ...
faculty.unlv.edu/bellomo/Math714/Notes/08_Transcendental.pdf -
55. [PDF]

### Fourier Transform and Ludolph van Ceulen

File Format: PDF/Adobe Acrobat - Quick View
by M Vajta - Related articles
The one day program "Pi in the St.Peter's Church" was part of the ... series, products or continued fractions possible. François. Viète, a lawyer and ...
med.ee.nd.edu/MED9/Papers/Robust_stability/med01-133.pdf -

This technique depends on continued fractions and is of major importance in .... of consecutive positive integers converges to pi-squared divided by 6. ...
homepage.smc.edu/kennedy_john/Papers.htm -
57. ### lC(s) D'(s)i

by G Stuttgart - 1967 - Related articles
continued fraction-expansion technique for its reisational. ... Clayton, Viet., Australia. References. 1 SCANLAN, J. o., and RHODES, J. D. : 'Realizability and ... 4 RICHARDS, P. I.: 'Resistor-transmission-line circuits', Proc. Inst. ...
ieeexplore.ieee.org/iel5/2220/4207458/04207472.pdf?arnumber... -
58. ### Composite number for pi satisfies Euler's equation.

Both pi and phi squared are composite numbers having a common irrational factor that ... We use words such as integer or fraction and adjectives such as real, .... In 1579 the French mathematician Francois Viete (1540 – 1603), or, ... of straightedge and compass continued by mathematicians and amateurs alike for ...
members.aceweb.com/r-logan/fullbook.html -
59. [PDF]

### ABSTRACTS

File Format: PDF/Adobe Acrobat - View as HTML
Pascal's triangle-and Bernoulli's and Vieta's. Mathematical. Spectrum 20(2), 33-37. ... Pi Mu Epsilon celebrates 75 years of mathematical activity. Pi Mu .... On parts of parts and ascending CONTINUED FRACTIONS: An investigation of ...
faculty.bennington.edu/~gvanbrum/hmabstracts/16-4.pdf -
60. ### Pi: Encyclopedia II - Pi - Numerical approximations of π

The continued fraction representation of π can be used to generate successively better rational approximations of pi, which start off: 22/7, 333/106, ...
www.experiencefestival.com/a/Pi...of_/id/4727855 -
61. ### Pi: Encyclopedia II - Pi - History of π

Main article: History of Pi. The value of π has been known in some form since ... Pi - Continued fractions, Pi - Dynamical systems and ergodic theory, Pi ...
www.experiencefestival.com/a/Pi_-_History.../4727854 -
62. ### Mathematical Chronology.

Viète begins publishing the Canon Mathematicus which he intends as a .... Brouncker gives a continued fraction expansion of Pi /4 He also computes the ...
www-lmpa.univ-littoral.fr/~ryckelynck/.../chronologie-entiere-1.html -
63. ### John Wallis - New World Encyclopedia

3 Apr 2008 ... of those such as the French mathematician François Viète, .... \pi might be taken as the geometrical mean between the values of .... In his Opera Mathematica I (1695) Wallis introduced the term "continued fraction." ...
www.newworldencyclopedia.org/entry/John_Wallis -
64. ### The Life of Pi History and Computation Jonathan M. Borwein, FRSC ...

by PM Patel - Related articles
Pi's Adolescence. The dawn of modern mathematics appears in. Viete's product (1579) ... and in the first continued fraction for 2/π given ...
65. ### Is there any non-recreational mathematics about the Golden Ratio ...

19 Dec 2009 ... On the other hand, e and pi are so fundamental to everything in math; .... The golden ratio has a particularly nice continued fraction ...

Geometrical fallacies; Geometrical paradoxes; Continued fractions and lattice ... and Diocles; Solutions by Vieta, Descartes, Gregory of St. Vincent, and Newton ... Geometrical methods of approximation to the numerical value of Pi ...
www.cut-the-knot.org/books/rouse_ball/content.shtml -
67. ### The Thirty Greatest Mathematicians

Wallis coined the term "continued fraction." Also like Vieta, Wallis created an infinite product formula for pi, which might be (but isn't! ...
fabpedigree.com/james/mathmen.htm -
68. ### [pi]: the chronicle. - Free Online Library

The eminent French mathematician Francois Vieta finds [pi] correct to nine decimal ... converts the result to a continued fraction con·tin·ued fraction ...
www.thefreelibrary.com/%5Bpi%5D:+the+chronicle-a0188952624 -
69. ### Best k-digit rational approximation of irrational numbers: Pre ...

by SK Sen - 2008 - Cited by 1 - Related articles
4 Nov 2007 ... The method of Archimedes [5] involves approximating pi by the .... Francois Viete obtained π correct up to nine decimal places. ... The first of these developments is the continued fraction representation for e. ...
70. ### Quasideterminants, I

by I Gelfand - 1997 - Cited by 110 - Related articles - All 13 versions
and the noncommutative Bezout and Vieta theorems (as a background of non- .... objects φi : k〈x〉 → Pi, i = 1,2 are specializations s : P1 → P2, ...... subsection the infinite continued fraction |A|11 may be written as a ratio of ...
71. ### The stress state of a viscoelastic orthotropic half-plane loaded ...

by AA Kaminskii - 2000 - Cited by 4 - Related articles
The operator continued-fraction method is used to solve the problem on the stress ... Using the Vieta theorem for Eq. (1.4) quadratic in u 2, we obtain .... where L 0 (0) is the value of L (0) for a linearly elastic body, and Pi are ...
72. ### Mathematics Pronunciation Guide

continued kuhn 'tin yood continued fraction kuhn 'tin yood 'frak shuhn ...... circumferentia Phrase used for the value of pi before the Greek letter was used. ..... Pierre François Viete 1540-1603 vee 'et. vigesimal vih 'jes (uh) muhl ...
www.waukesha.uwc.edu/mat/kkromare/main.html -
73. [PDF]

### Lecture 07

File Format: PDF/Adobe Acrobat - Quick View
2 / Pi // N. 0.63662. † Why is Vieta's formula correct? We know that. sinHzL = 2 cosJ ... Consider a continued fraction from the previous lecture ...
74. [PDF]

### Undergraduate Research Opportunity Programme in Science The ...

File Format: PDF/Adobe Acrobat - View as HTML
by LFL Eugene - Related articles
1593: Viete's product. The pre-calculus era was soon to be ... 1655: Wallis product and Brouncker's Continued Fraction. Almost sixty years later, ...
www.math.nus.edu.sg/~matlhh/UROPS/reports/LFLreport.pdf -
75. [PDF]

### No. 72 October 2009 Conference reports

File Format: PDF/Adobe Acrobat - Quick View
modern notation the simple continued fraction .... R. C. Gupta: “Some Ancient Values of Pi and Their Use in India”, Mathematics. Education, Vol. 9, No. .... Evelyne Barbin, Centre François Viète, Faculté des sciences et des ...
www.clab.edc.uoc.gr/HPM/HPM%20News%2072.pdf -
76. ### Diễn đàn Toán học > Bài giảng về Vô tỷ và Siêu việt

5 posts - 3 authors
Next, the theory of continued fraction expansion provided a very useful tool. ... H. Lambert and L. Euler, in the XVIIIth century, for the numbers e and pi. ...
diendantoanhoc.net › ... › Seminar Phương pháp toán sơ cấp -
77. [PDF]

### <a href="http://arXiv.org/abs/0809.4931v1">arXiv:0809.4931v1 [math ...

File Format: PDF/Adobe Acrobat - View as HTML
by V Dragovic - Cited by 1 - Related articles
29 Sep 2008 ... their continued fraction development and some basic properties of such ..... Then, the relations between coefficients pi and qj are ..... From the last equation by using the Viete formulae for the polynomial QX(s) ...
arxiv.org/pdf/0809.4931 -
78. ### Earliest Uses of Symbols for Fractions

4 Mar 2004 ... Earliest notations for fractions. The Babylonians wrote numbers in a ... that the horizontal fraction bar be used, whereas easterners continued to write it without the bar. ... wrote the value of pi using Arabic characters as follows: ... In 1579 Francois Vieta (1540-1603) published a work which ...
jeff560.tripod.com/fractions.html -
79. ### CRC Press Online - Book: Diophantine Analysis

Irrationality of pi. Approximating with rationals ... CONTINUED FRACTIONS The Euclidean algorithm revisited and calendars .... VENEZUELA, VIET NAM, VIRGIN ISLANDS, BRITISH, VIRGIN ISLANDS, U.S., WALLIS AND FUTUNA, WESTERN SAHARA, YEMEN ...
www.crcpress.com/product/isbn/9781584884828 -
80. [PDF]

### A Reader's Guide to Euler's Introductio

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by VF Rickey - Related articles
and infinite continued fractions. Needless to say he cannot be too precise here in the ..... The concept is due to Viete in 1646 (according to the Opera omnia ..... This chapter is reprinted in Pi: A Source Book by L. B. Berggren, ...
www.math.usma.edu/people/Rickey/hm/Euler-Introductio.pdf -
81. ### Dictionary of Mathematics

Continued Fraction Kettingbreuk Continuum Continuüm Convergence Convergentie (wiskunde) Convolution Convolutie ... Pi Pi (wiskunde) Pie Chart Cirkeldiagram ...
-
82. ### Holiday-related Math « 360

pi So you want to make a pie for Pi Day, but you don't want to decorate it with the ... We'll end on a more radical note: the Viète formula, which was named after ..... This custom continued even after the exact start of the month could be .... a letter randomly as a way to explore both probability and fractions. ...
threesixty360.wordpress.com/category/holiday-related-math/ -
83. ### Inwit Publishing, Inc. and Inwit, LLC -- Writings, Links and ...

... method for finding p (30), in the form of the infinite continued product ... By the middle of the 17th century, infinite processes like Vieta's began to dominate .... And the same is true of any fraction made of finite integers. ..... (A beautiful compendium of such formulas is given in the book pi and the AGM. ...
www.inwit.com/inwit/writings/historyandodditiesofpi.html -
84. ### e (mathematical constant) - Wikipedia, the free encyclopedia

29 Jan 2010 ... e^{i\pi} +1=0,\,\! from which it follows that, in the principal branch of the .... Continued Fractions - some interesting properties of e ...
mi.o2.ie/en.wikipedia.org/wiki/E_(mathematical_constant) -
85. ### MAA Student Chapters Pi Mu Epsilon

My Viet Nguyen and Kyle Marx. California State University, Fullerton ...... Pianos and Continued Fractions. 1999 Dan Kalman ...
www.maa.org/abstracts/mf2009-studentbook.pdf -
86. [PDF]

### ds2001 Marseille - Luminy CIRM Residential Session THE DYNAMIC ...

File Format: PDF/Adobe Acrobat - View as HTML
By Vieta's theorem,. Thus,. Origin: G. Boole, 1857 ([Boo]) .... ordinary continued fractions (Gauß map). From the well known ergodic .... [PI] W. Parry, On ß—expansions of real numbers, Acta Math. Acad. Sci. Hung. 11 (1960), 401 - 416 ...
www.sbg.ac.at/mat/staff/thaler/paper.pdf -
87. ### File:KhinchinBeispiele.svg - Wikimedia Commons

3 Aug 2009 ... Red: Pi (π) Blue: The Euler-Mascheroni constant γ ... Categories: Continued fractions | Mathematica diagrams ...
commons.wikimedia.org/wiki/File:KhinchinBeispiele.svg -
88. ### Previous issues of the Fibonacci Quarterly

161-169: Period Lengths of Continued Fractions Involving Fibonacci Numbers,by ..... 202-204 : Vieta-Like Products of Nested Radicals with Fibonacci and Lucas ... 32-37 : Machin-Type Formulas Expressing Pi in Terms of Phi,by Hei-Chi Chan ...
www.engineering.sdstate.edu/~fib/fibprevious.html -
89. ### Reciprocal Links - Numericana

10 Great Sites for Geeking Out by Pi Guy (2010-01-17). ... Blason de François Viète (in French) by Jean de Parthenay (2009-11-25). .... Continued Fractions (book review) by A. Ya. Khinchin (bef. 2009-05-06). ...
90. ### Mathematics

To give an example, take the number we call "pi" -- the ratio of the ..... François Viète (1540-1603) and Ludolph van Ceulen (1540-1610) were not geniuses, ..... We also still have some hints of the ancient problems with fractions, ...... One is tempted to wonder if they are trying to ensure their continued ...
www.skypoint.com/members/waltzmn/Mathematics.html -

10 Thursday, January 29th, 2004: Euler and Continued Fractions .... So p1 must be 1 mod 4, and if pi ≡ 3 mod 4, ei must be even. If pi ≡ 1 mod 4, then ..... Theorem 3.1.1 (Viete (1500s)). Let f(x) = xN +cN−1xN−1 +···+c0 with roots ...
www.williams.edu/go/math/sjmiller/public_html/math/.../euler.pdf -
92. ### Publication of CO600/CO620 Project Reports

19 Jun 2006 ... Nguyen Viet Chau; Arbitrary Precision in Logic Programming Using Continued Fractions Akiko Kathrin Uriu; The Roles of Legislative and Technical ... Juan Francisco Méndez Coello; Low Level Occam-pi Device Drivers for RMoX ...
www.cs.kent.ac.uk/pubs/ug/2005/ -
93. ### AMS Journals :: Print and Electronic

A multidimensional continued fraction based on a high-order recurrence relation. .... Poisson PI algebras. Trans. Amer. Math. Soc. 359 (2007) 4669-4694. ... [1200] Ngo Viet Trung and Jugal Verma. Mixed multiplicities of ideals versus ...
www.mrlonline.org/joursearch/servlet/DoSearch?f1... -
94. ### UIUC Dept. of Mathematics Seminar Calendar

1 Aug 2009 ... Abstract: This is an expository talk about Farey fractions and their applications. ... addressed in the lost notebook, namely continued fractions. ... some very old formulas of Viete (1591) and Euler-Binet on equal sums of two ... values of the Riemann zeta function can be related to powers of pi, ...
torus.math.uiuc.edu/cal/math/cal?year=2009...08... -
95. ### History of Mathematics - Education Resource - StudySphere

... interpolation, continued fraction, mantissa, and hypergeometric series. ... We call a formula representing a sum of distinct unit fractions an Egyptian fraction . .... History of PI The value of Pi has a great value in our scientific life, ... computed Pi to 14 places ViÈte (1540- 1603) =&gt; 9 pl Read More ...
www.studysphere.com/.../Mathematics-History-of-Mathematics-771.html -
96. [PDF]

### Problems by Proposer, Number, Topic & Location,

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To: The period of a p,q sequence relating to a continued fraction as its own upper ..... To: Discovering properties of convolutions for Vieta-Fibonacci and Vieta- ..... To: Arithmetic progressions of Fibonacci pseudoprimes, PI(1986)253 ...
www.mscs.dal.ca/Fibonacci/G-MiscPrbs-46-47-4-Proc9.pdf -
97. [PPT]

### Algebraic Symbolism

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... after the 3rd century BCE but development of math continued in the East. .... Described Hindu-Arabic notation and decimal fractions; Created new symbols. Multiplication x; Proportion :: Pi for circumference  (not for ratio ... Changed unknowns from Viete's (a e i o u) to (u v w x y z) –end of alphabet. ...
orion.math.iastate.edu/lhogben/classes/AlgebraicSymbolism.ppt -
98. ### What a melon has to say • Roots of Unity 1 @ MathLinks

We just apply a shift of \pi/n to the angle of each root; that is, a shift of \alpha/n . ... One tool we can apply to it is Vieta's relations between the roots and .... is irrational, we can make a continued fraction expansion to get a ...
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99. ### mathematics: Development of Mathematics — Infoplease.com

Decimal fractions were invented by Simon Stevin and logarithms by John ... These developments continued with the group theory of M. S. Lie in the late 19th ...