21. AVE IMPERATOR Limits In SWFActionScript math constants are represented by their double value. FLA-ActionScript like Math.PI + 5 will be comipled into one double value http://www.ave-imperator.com/pages/limits.html

Imperator FLA Limits Features Limits Requirements Manual ... Impressum Limits The FLA Format covers only a part of all the things you are able to realize using the SWF technology. There are a lot of third party products on the market exporting SWF files and some of them use special features available only in the SWF Format (like the more basic and flexible "SWF-ActionScript" which reveals a variety of functionalities "FLA-ActionScript" simply doesn't have yet). The attempt to create a FLA from such a SWF will (partially) fail since it is impossible to recover elements or features that don't exist in the year 2005 (and probably never will). In detail : "FLA-ActionScript" vs. "SWF-ActionScript" Layers Library and Layer - names and folders Buttons ... up All information about the Scenes of a FLA are lost, for they are compiled into one main timeline. Since a FLA could have different scenes containing similar Labels, GoToLabel-Actions are usually converted to matching GoToFrame-Actions. The Labels of every Scene however are compiled into the one timeline. That causes a lot of SWFs to have a main timeline with different Labels carrying identical names. If you use IMPERATOR °FLA to create a FLA from such a SWF, Flash will report a warning concerning the duplicate Label. "FLA-ActionScript" vs. "SWF-ActionScript"

22. Mathematical Functions The following values are defined as constants in PHP by the math extension. Táblázat 1. math constants. Constant, Value, http://www.pergel.hu/phpdoksi/ref.math.shtml

PHP Kézikönyv Vissza Tovább XL. Mathematical Functions Introduction arbitrary precision math functions Math constants Táblázat 1. Math constants Constant Value Description Pi e log_2 e log_10 e pi/2 pi/4 1/pi 2/pi sqrt(pi) [4.0.2] 2/sqrt(pi) sqrt(2) sqrt(3) [4.0.2] 1/sqrt(2) log_e(pi) [4.0.2] Euler constant [4.0.2] Only M_PI is available in PHP versions up to and including PHP4RC1. All other constants are available starting with PHP 4.0. Constants labelled [4.0.2] were added in PHP 4.0.2. Tartalom abs acos asin atan ... Fel abs Mire Minden szóra Minden kifejezésben Adatbázisban: PHP Kézikönyv

23. PGWeekly_September_03.txt *The Project Gutenberg Weekly Newsletter 498 Bernoulli Numbersmath constant 22brnllxxx.xxx 2586 Apr 2001 The first 1001 Fibonacci Numbersmath constant 21fbnccxxx.xxx 2585 Apr 2001 The http://www.gutenberg.org/newsletter/archive/PGWeekly_2003_09_03_Part_1.txt

. [We received 3 replies from the US, 1 from Australia, but may need more around December 10.] *** Progress Report In the first 8.00 months of this year, we produced 2582 new eBooks. It took us from 1971 to 2000 to produce our first 2,582 eBooks! That's 35 WEEKS as Compared to ~30 Years! 178 New eBooks This Week 70 New eBooks Last Week 366 New eBooks This Month [August] 323 Average Per Month in 2003 < 203 Average Per Month in 2002 < 103 Average Per Month in 2001 *** People interested in TeX/LaTeX documents on Project Gutenberg please contact: tex@spacerad.com

24. Subject Project Gutenberg Newsletter PT 1 From Michael S. Hart And some of the new math constants will be reposed without notices Mar 1998 The Three Musketeers, by Alexandre Dumas Pere 21muskxxx.xxx1257 Nov 1999 http://www.gutenberg.org/newsletter/archive/PGMonthly_2000_06_07_Part_1.txt

======== Subject: Project Gutenberg Newsletter PT 1 From: "Michael S. Hart" To: "Project Gutenberg mailing list" , Greg Newby , David Price , Sue Asscher . . .THIRD REQUEST!!! * We need the following by John Galsworthy FRATERNITY THE COUNTRY HOUSE THE ISLAND PHARISEES THE PATRICIAN Please contact: DAVID WIDGER and cc:me Have been paying $5, will pay $10, maybe a bit more. * We are forming a Polish Team: but all the Polish books we find are from after 1923, and don't say their contents are from before then. . .please let me know if you can find an available source. . .and more volunteers for such a team. [Please reply to Eve Sobol and cc: me. We need proofreaders for our French Jules Verne Etexts: Jan 1997 De La Terre a La Lune [in French] by Jules Verne#4[xlunexxx.xxx] 799 [We updated the binary version to file 8lune08, we still need more proofing!] We need: Dostoyevsky's The Devils [The Possessed] (1871-72) Reply to: John C Duronio

25. Defined Constants ALAMBIK INSTRUCTIONS ALAMBIK INSTRUCTION FILE CONSTANTS DOWNLOAD CONSTANTS DATABASE CONSTANTS math constantS MENULIST CONSTANTS CONTEXTMENU CONSTANTS TEXT.WORD.LIST CONSTANTS TIMER EVENT CONSTANTS http://www.web-language.com/chapter4/constant.htm

Defined Constants ALAMBIK INSTRUCTIONS ALAMBIK INSTRUCTION CONSTANTS COLOR CONSTANTS PERSISTENCE CONSTANTS ... KEYBOARD CONSTANTS Alambik Instructions Screen location : BACK,MID,FRONT State : ON,OFF Boolean : TRUE,FALSE Null : NULL All : ALL Way : LEFT,RIGHT,UP,DOWN Text Alignement : ON, OFF Alambik Instruction Constants convertion operator : VAL, STR, CHR, ASC math operator : ABS Color Constants predefined color Sound Constants sound loop mode channel id pan settings Timer Event Constants event loop mode event mode Mouse Event Constants button status zone status Keyboard Constants keyboard status General key Numeric key Alphabetical Keypad Key Mathematical Key Function key Special key Database Constants datafield type Clip Constants synchronisation type 1 synchronisation type 2 synchronisation type 3 clip loop mode Sequencer Constants track creation mode sequence playing mode track interpolation mode track mode group playing mode seek mode Chapter Constants seek operator File Constants file properties directory properties Math Constants Pi PI Download Constants download event download properties Vectorial Constants vector fill mode

26. PHP: Mathematical Functions - Manual Predefined Constants. The constants below are always available as part of the PHP core. Table 1. math constants. Constant, Value, http://php.planetmirror.com/manual/en/ref.math.php

downloads documentation faq getting help ... my php.net s earch for in the function list whole site online documentation [en] bug database general mailing list developer mailing list documentation mailing list PHP Manual Function Reference .NET APD ... abs view the printer friendly printer friendly [+notes] Brazilian Portuguese Chinese (Simplified) Chinese (Hong Kong Cantonese) Chinese (Traditional) Czech Danish Dutch Finnish French German Greek Hebrew Hungarian Italian Japanese Korean Polish Romanian Russian Slovak Spanish Swedish version of this page Last updated: Wed, 07 Sep 2005 LXVII. Mathematical Functions Introduction integer and float types on your computer (this corresponds currently to the C types long resp. double). If you need to handle bigger numbers, take a look at the arbitrary precision math functions arithmetic operators Requirements No external libraries are needed to build this extension. Installation There is no installation needed to use these functions; they are part of the PHP core. Runtime Configuration This extension has no configuration directives defined in php.ini

27. Unicode Character 'GREEK SMALL LETTER PI' (U+03C0) Index entries, pi, mathematical constant. Upper case, U+03A0. Title case, U+03A0. Comments, math constant 3.141592 Version, Unicode 1.1.0 (June, 1993) http://www.fileformat.info/info/unicode/char/03c0/

FileFormat.Info Info Unicode Characters ... U+03C0 Unicode Character 'GREEK SMALL LETTER PI' (U+03C0) Image Browser Test Page Outline (as SVG file) Fonts that support U+03C0 Unicode Data Name GREEK SMALL LETTER PI Block Greek and Coptic Category Letter, Lowercase [Ll] Combine BIDI Left-to-Right [L] Mirror N Index entries pi, mathematical constant Upper case U+03A0 Title case U+03A0 Comments math constant 3.141592... Version Unicode 1.1.0 (June, 1993) Encodings HTML Entity (decimal) HTML Entity (hex) HTML Entity (named) How to type in Microsoft Windows Alt Alt 227 UTF-8 (hex) UTF-8 (binary) UTF-16 (hex) UTF-16 (decimal) UTF-32 (hex) UTF-32 (decimal) C/C++/Java source code More... Java Data Character.UnicodeBlock GREEK Yes No No No Yes Yes Yes Yes Yes No No No No Yes Yes No Yes No Microsoft-proprietary dotNet Properties False False True True False False False False False %cf%80 %cf%80 Feedback Terms of Service Contact Info

28. GameDev.net -- Game Development Showcase pi the math constant pi returns 3.14159 e the math constant e returns 2.71828 int round to the nearest integer 4.8 int returns 5 http://www.gamedev.net/community/gds/viewentry.asp?projectid=305753

29. Statistical Consulting Seminars: Visualizing Interactions For Logistic Models In this example, we hold math constant at 40 and science constant at 40. Likewise, we can set the covariates math constant at 60 and science constant at http://www.ats.ucla.edu/stat/stata/seminars/stata_vibl/viblm.htm

Stat Computing Seminars Visualizing Main Effects and Interactions for Binary Logit Models Statistical Computing Seminars Visualizing Main Effects for Logistic Models 0. Getting Started 0.1 Getting the Programs and Data The aim of this seminar is to help you learn how to visualize main effects for models using logistic regression. It will demonstrate a suite of tools name vibl for vi sualizing b inary l ogit models (By the way, vibl is pronounced "vibble" and it rhymes with kibble).. You can get all of the programs and data files associated with the seminar as shown below. . net from http://www.ats.ucla.edu/stat/stata/ado/analysis . net install vibl . net get vibl This page also refers to the and commands. If you do not have these, you can download them as shown below. . net from http://www.ats.ucla.edu/stat/stata/ado/analysis . net install xi3 . net install postgr3 0.2 Movies Some of the sections illustrate interactive use of the viblmdb command and have movies that accompany the sections. These sections start with a link that will look like this. View the movie that accompanies this section You can click on the link and it will bring up a movie showing us interacting with Stata and with verbal (audio) explanations.

30. Experimental Mathematics Website Clifford Lectures on Experimental Math at Tulane (Mar 31Apr 2, 2005). Clifford site Xavier Gourdon and Pascal Sebah s site for famous math constants http://crd.lbl.gov/~dhbailey/expmath/

Experimental Mathematics Website http://www.experimentalmath.info This is a plot of all roots of polynomials with coefficients 1 or -1 up to degree 18. Coloration is by sensitivity of the polynomials to slight variation around the values of the zeros. The color scale represents a normalized sensitivity to the range of values; red is insensitive to violet which is strongly sensitive. The bands, quite clearly visible in the plot, are unexplained. Please send any comments or questions for this site to: zzzzzzzz@lbl.gov. This email address is coded to defeat spammers. To obtain the real address, replace the z's with "dhbailey". Site updated 2005-08-19 Experimental Math Books A two-volume set of books on experimental mathematics has been completed by Prof. Jonathan M. Borwein of the University of Dalhousie in Canada; Dr. David H. Bailey of the Lawerence Berkeley National Lab in the USA; and (for vol. 2) Dr. Roland Girgensohn of the Technical University of Munich in Germany. In a review published in Math Reviews, mathematician John H. Mason writes, "Let me cut to the chase: every mathematics library requires a copy of this book (and its companion volume)" Review . The two books are: Vol. 1: Mathematics by Experiment: Plausible Reasoning in the 21st Century.

31. A Passion For Mathematics A Smorgasbord of math puzzles, factoids, quotations, trivia, formulas, and much more famous and curious math constants (like Liouville s constant, http://sprott.physics.wisc.edu/pickover/passion-math.html

Contact News! Books Home A Passion for Mathematics Numbers, Puzzles, Madness, Religion, and the Quest for Reality Clifford A. Pickover Mathematics is the hammer that shatters the ice of our unconscious. Numbers percolate like bubbles in the ocean of mathematics. The mathematician's job is to transport us to new seas, while deepening the waters and lengthening horizons. Math puzzles, factoids, quotations, trivia, formulas... Click here to see the book at Amazon.Com Read Chapter 1! Are you Fascinated by Numbers? A Smorgasbord of math puzzles, factoids, quotations, trivia, formulas, and much more... Are you fascinated by numbers and want to learn more? Does the vast world of math problems that humans have solved—and the ones we have yet to begin to comprehend—give you goose bumps? If so, this is the book for you. A Passion for Mathematics is an educational, entertaining trip through the curiosities of the math world, blending an eclectic mix of history, biography, philosophy, number theory, geometry, probability, huge numbers, and mind-bending problems into a delightfully compelling collection that is sure to please math buffs, students, and experienced mathematicians alike. In each chapter, Clifford Pickover provides factoids, anecdotes, definitions, quotations, mathematical art, and captivating challenges that range from fun, quirky puzzles to insanely difficult problems. You'll encounter mad mathematicians, strange number sequences, obstinate numbers, curious constants, magic squares, fractal geese, monkeys typing Hamlet, infinity, and much, much more.

32. Initially Known Names In Maple Pi, math constant pi; evalf(Pi) is approximately 3.14159265 printlevel, See printlevel (default is 1). Printlevel is an environment variable. http://oldweb.cecm.sfu.ca/projects/IntegerRelations/ininames.html

Initially known names in Maple (copied from Maple help file) Description: The following names are known, either as global or environment variables under user control or as names of constants known to certain functions. Back to IntegerRelations Catalan Catalan's constant = sum((-1)^i/(2*i+1)^2,i=0..infinity) evalf(Catalan) is approximately 0.915965594... constants The numeric constants in Maple are integers, fractions, and floating-point numbers. Default is the sequence of global variable constants, which is an expression sequence of all names which are initially known as symbolic constants in Maple. These are false, gamma, infinity, true, Catalan, I, Pi Digits number of digits carried in floats (default is 10). Digits is an environment variable. FAIL used by boolean evaluation as unknown truth for 3-valued logic. false the value false in the context of Boolean evaluation. gamma Euler's constant = limit(sum(1/i,i=1..n) - ln(n), n=infinity). evalf(gamma) is approximately 0.5772156649... gamma(n) a series of constants such that gamma(n) = limit(sum(ln(k)^n/k, k=1..m) - ln(m)^(n+1)/(n+1)

33. NERSC 2001 Annual Report: R&D: High Performance Computing R&D At Berkeley Lab While the evidence to date supports this assumption, no naturally occurring math constant—such as pi, the square root of 2, or the natural logarithm of http://www.nersc.gov/news/annual_reports/annrep01/04RD.html

Annual Report TABLE OF CONTENTS YEAR IN REVIEW SCIENCE HIGHLIGHTS YEAR IN REVIEW Director's Perspective YEAR IN REVIEW Computational Science at NERSC ... Advanced Scientific Computing Research and Other Projects This 3D supernova simulation shows the turbulent environment beneath the supernova shock wave. See details The NERSC Program is part of the Computing Sciences organization at Berkeley Lab and works closely with two other departments within Computing Sciences: the High Performance Computing Research Department and the Distributed Systems Department. These two departments conduct a large number of independently funded research and development efforts in applied mathematics, computer science, and computational science. Some of their staff members also work on tasks matrixed from the NERSC Program, such as the advanced development of scientific computing infrastructure, and focused high-end support for NERSC clients in areas such as algorithms, software tools, and visualization of data. Applied Mathematics Applied mathematics research at Berkeley Lab ranges from involvement in three SciDAC projects, which are expected to yield major scientific benefits within a few years, to investigating the randomness of certain mathematical constants, which represents a major step toward answering an age-old question.

34. Mathematics Links The Math Forum Ask Dr. Math Regular Polygons Urban Legends Reference Feigenbaum Constants math constants Essays Euler-Mascheroni Constant http://www.alcyone.com/max/links/maths.html

Mathematics links Lx Links Links regarding mathematics and mathematical topics. Introduction. Like science, I've always been interested in mathematics. Here are some links I've collected on the subject. Contents. Mathematics Resources Brachistochrone problem Education ... Mathematicians Links. Mathematics Resources Jim Loy's Mathematics Page Nikkoa Hypercomplex Numerical Computing Software The Central Limit Theorem and the Quincunx Lies my calculator told me ... FAQ Brachistochrone problem Brachistochrone Problem from MathWorld Brachistochrone Construction Brachistochrone problem The Brachistochrone Education Plus Magazine e-Calculus Home page Online texts The Math Forum - Ask Dr. Math ... Common Errors in Undergraduate Mathematics James Blinn Project MATHEMATICS! Jim Blinn's Corner The Reference Desk: Calculators On-Line Plotting ... Introduction to Geometric Algebra Polyhedra Beyond Flatland Index by Wythoff Symbol Rob's Polyhedron Models Tom Lechner's Time Well Spent ... Karen's Polyhedra Gallery! The regular polyhedra The Regular Polyhedra dodecahedron Regular Polyhedra Cryptography The CONET Project: Recordings of Shortwave Numbers Stations Recreation Some Mathematical Proofs Behind Monty Hall's Doors: Puzzle, Debate and Answer?

35. Math Surprises Buffon's Needle simulation and a surprising demonstration of Barbier's theorem about shapes of constant width http://www.cut-the-knot.com/ctk/August2001.html

Username: Password: Sites for teachers Sites for parents Awards Interactive Activities ... Sites for parents Cut The Knot! An interactive column using Java applets by Alex Bogomolny Math Surprises: An Example August 2001 Compte de Buffon (1707-1788) in the 18 th century posed and solved the very first problem of geometric probability. A needle of a given length L is tossed on a wooden floor with evenly spaced cracks, distance D apart. What is the probability of the needle hitting a crack? (The problem is nowadays known as Buffon's Needle problem.) The answer he discovered with the help of integral calculus is given by the simple formula [ Beckmann Eves Kasner Paulos ... Stein P = 2L/ p D With P approximated by the ratio of hits to the total number of tosses, the formula offers a way of evaluating p , an observation that eventually led Pierre Simon Laplace (1749-1827) to propose a method, known today as the Monte Carlo Method, for numerical evaluation of various quantities by realizing appropriate random events. History records several names of people who applied the method manually to approximate p . A Captain Fox [ Beckmann , p. 77] mentions Wolf from Zurich (1850) who obtained

36. Karsten Grosse-Brauckmann: Research Differential geometry, especially surfaces of constant mean curvature. http://www.math.uni-bonn.de/people/kgb/Research/research.html

www.math.uni-bonn.de/people/kgb/research.html K. Grosse-Brauckmann: Research Projects Much of my research is devoted to constant mean curvature (cmc) surfaces, in particular the construction of examples. Constant mean curvature surfaces appear in nature, in particular when the area of an interface is minimized under a volume constraint. Soap bubbles are the most popular example: The photos show Tom Noddy at the International Congress 1998 (courtesy of J. Sullivan ). Mathematicians have used the following methods to construct constant mean curvature surfaces: Kapouleas produced surfaces close to some degenerate well known surfaces with a singular perturbation approach; Pinkall, Sterling, and many others found tori as solutions of an integrable system (a more general approach by Dorfmeister, Pedit and Wu remains to be exploited); and the Lawson-Karcher conjugate cousin method yields sufficiently symmetric surfaces. Moduli Spaces of Embedded Constant Mean Curvature Surfaces with Finite Topology In this current project, which is joint with

37. Mathcad Library: Constants DW Sweeney, On the computation of Euler s constant, math. Comp. 17 (1963) 170178; DW DeTemple, A quicker convergence to Euler s constant, Amer. math. http://www.mathcad.com/library/Constants/eulerrefs.htm

Well-Known Constants Pythagoras' Golden mean Natural log Archimedes' ... Home by Steven Finch Mathsoft Engineering and Education, Inc. References for Euler's Constant, g R. M. Young, Euler's constant, Math. Gazette v. 75, n. 472 (1991) 187-190. R. P. Boas, Partial sums of infinite series, and how they grow, Amer. Math. Monthly MR 55 #13118 D. E. Knuth, Euler's constant to 1271 places, Math. Comp. MR 26 #5763 J. M. Borwein and P. B. Borwein, Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity , Wiley, 1987; MR 99h:11147 D. W. Sweeney, On the computation of Euler's constant, Math. Comp. 17 (1963) 170-178; corrigenda 17 (1963) 488; MR 28 #3522 R. P. Brent, Computation of the regular continued fraction for Euler's constant, Math. Comp. MR 55 #9490 R. P. Brent and E. M. McMillan, Some new algorithms for high-precision computation of Euler's constant, Math. Comp. MR 82g:10002 D. W. DeTemple, A quicker convergence to Euler's constant, Amer. Math. Monthly MR 94e:11146 J. Nunemacher, On computing Euler's constant, Math. Mag.

38. 112 Pieces Of Pi Images and illustrations created by using the digits of the circle constant. http://www.antigravitypress.com/Math/pi/

While studying Pi with Gillian, Gareth, and Zaamen, my math group from Tracy's class at Metropolitan Learning Center, I started to generate images with the digits of Pi. Four examples are presented here. In this version, a color value is assigned to each of the digits 0-9 to make this pretty picture. Thanks to David Blatner for his book and website The Joy of Pi for 112 digits of Pi. Now, would anyone like more Pi

39. Math Forum: Ask Dr. Math FAQ: About Pi Explains what the constant is and a brief history. Includes resource links. http://mathforum.org/dr.math/faq/faq.pi.html

Ask Dr. Math: FAQ A bout Pi Dr. Math FAQ Classic Problems Formulas Search Dr. Math ... Dr. Math Home What is pi ( )? Who first used pi? How do you find its value? What is it for? How many digits is it? By definition, pi is the ratio of the circumference of a circle to its diameter. Pi is always the same number, no matter which circle you use to compute it. For the sake of usefulness people often need to approximate pi. For many purposes you can use 3.14159, which is really pretty good, but if you want a better approximation you can use a computer to get it. Here's pi to many more digits: 3.14159265358979323846. The area of a circle is pi times the square of the length of the radius, or "pi r squared": A = pi*r^2 A very brief history of pi Pi is a very old number. We know that the Egyptians and the Babylonians knew about the existence of the constant ratio pi, although they didn't know its value nearly as well as we do today. They had figured out that it was a little bigger than 3; the Babylonians had an approximation of 3 1/8 (3.125), and the Egyptians had a somewhat worse approximation of 4*(8/9)^2 (about 3.160484), which is slightly less accurate and much harder to work with. For more, see A History of Pi by Petr Beckman (Dorset Press).

40. EXSLT - Math:constant The mathconstant function returns the specified constant to a set precision. Implementations of mathconstant are available in the following languages http://www.exslt.org/math/functions/constant/

EXSLT math constant Implementer Page ... Downloads Modules Dates and Times Dynamic Common Functions ... Contact Implementer Page: math.constant.html Function Package: math.constant.zip Function Syntax number math:constant string number Template Syntax math:constant string number The math:constant function returns the specified constant to a set precision. The possible constants are: PI E Implementations The following XSLT processors support math:constant 4XSLT, from 4Suite. (version 0.12.0a3) libxslt from Daniel Veillard et al. (version 1.0.19) Implementations of math:constant are available in the following languages: XSLT Template (by James Fuller Javascript (by James Fuller EXSLT Function (by James Fuller http://www.exslt.org/math/functions/constant/index.html last modified 2002-11-12

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