41. New Mathematical Constant Discovered Descendent Of Two Thirteenth Century Rabb And with that computation, mathematics has a new constant, a direct descendent of a pair of rabbits in thirteenth century Italy. http://www.maa.org/devlin/devlin_3_99.html

Devlin's Angle March 1999 New Mathematical Constant Discovered Descendent of Two Thirteenth Century Rabbits A recent mathematical result by Divakar Viswanath, a young computer scientist at the Mathematical Sciences Research Institute (MSRI) in Berkeley, California, has put the Fibonacci numbers back in the news and shown a connection between rabbits and the number 1.13198824 . . . . Most popular expositions of mathematics mention the Fibonacci sequence, usually observing that the Fibonacci numbers arise frequently in nature. For example, if you count the number of petals in various flowers you will find that the answer is often a Fibonacci number (much more frequently than you would get by chance). For instance, an iris has 3 petals, a primrose 5, a delphinium 8, ragwort 13, an aster 21, a daisy 34, and michaelmas daisies 55 or 89 petals all Fibonacci numbers. For another example from the botanical world, if you look at a sunflower you will see a beautiful pattern of two spirals, one running clockwise, the other counterclockwise. Count those spirals and you will find that there are 21 running clockwise and 34 counterclockwise both Fibonacci numbers. Similarly, pine cones have 5 clockwise spirals and 8 counterclockwise spirals; and the pineapple has 8 clockwise spirals and 13 going counterclockwise. One further example concerns the way the leaves are located on the stems of trees and plants. If you take a look, you will see that, in many cases, as you progress up along a stem, the leaves are located on a spiral path that winds around the stem. The spiral pattern is sufficiently regular that it leads to a numerical parameter characteristic for the species, called its divergence. Start at one leaf and let

42. The Daily Northwestern - Student Sets World Record For Math Hidden on his dorm room computer, McCormick freshman Alex Yee keeps mathematicians' gold a world record. In December, Yee set the record for calculating over 116.6 million digits http://media.www.dailynorthwestern.com/media/storage/paper853/news/2007/03/02/ca

43. Constant Slope In Math | Tutorvista.com In math, to finding constant slope to build up a slope formula. To begin, we choose points P and Q on the line. To distinguish between the corresponding of http://www.tutorvista.com/math/constant-slope-in-math

44. Boost Mailing Page: [boost] RE: Math Constant - Generic Function Circle_area Exa From Paul A. Bristow (boost_at_hidden) Date 200301-22 192406 Next message Andrei Alexandrescu boost Re MPL usage for code generation http://lists.boost.org/MailArchives/boost/msg42373.php

Boost : Date view Thread view Subject view Author view From: Paul A. Bristow ( boost_at_[hidden] Date: Next message: Andrei Alexandrescu: "[boost] Re: MPL usage for code generation" Previous message: Jeffrey Yasskin: "[boost] Re: Equivalence Relation class" In reply to: Joerg Walter: "math constant formal review request (was: [boost] Interval library merge)" Next in thread: Joerg Walter: "Re: [boost] RE: math constant - generic function circle_area example." Reply: Joerg Walter: "Re: [boost] RE: math constant - generic function circle_area example." Attached is an example using Michael Kenniston's Kunning Function constants. Briefly // or circle_area(2.F) // Implicit type float. It compiles with MSVC 7.0 (but not 6 - see MK's original example for why not). (long double == double for MSVC, so long double not fully testable/useful). It seems to do the trick, without too many surprises. I have displayed the output using the 17 significant digits for double so one can see the difference between a float pi 3.1415927410125732 and a double pi 3.1415926535897931 (even though only 9 are really significant for float).

45. [math/0211148] Double Integrals For Euler's Constant And Ln(4/Pi) And An Analog by J Sondow 2002 - Cited by 28 - Related articles http://arxiv4.library.cornell.edu/abs/math.CA/0211148

arXiv.org math Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Full-text links: Download: PDF only Current browse context: math new recent NASA ADS 1 blog link ... what is this? Bookmark what is this? Mathematics > Classical Analysis and ODEs Title: Authors: Jonathan Sondow (Submitted on 8 Nov 2002 ( ), last revised 14 Jun 2004 (this version, v3)) Abstract: We give analogs for Euler's constant and ln(4/Pi) of the well-known double integrals for zeta(2) and zeta(3). We also give a series for ln(4/Pi) which reveals it to be an "alternating Euler constant." Comments: Changed the title and added an analog for the alternating zeta function of Hadjicostas's double integral for the Riemann zeta function. A special case is an integral involving the Glaisher-Kinkelin constant Subjects: Classical Analysis and ODEs (math.CA) ; General Mathematics (math.GM); Number Theory (math.NT) MSC classes: Primary 33C20, Secondary 11J72 Journal reference: Amer. Math. Monthly 112 (2005) 61-65 Cite as: arXiv:math/0211148v3 [math.CA]

46. Definitions constant A value that does not change. http://www.math.com/school/glossary/defs/constant.html

constant A value that does not change.

47. Getting Students Through Remedial Math Is A Constant Struggle, But This College Oct 26, 2007 Getting Students Through Remedial Math Is a Constant Struggle, but This College Keeps Trying. By DEBRA E. BLUM. Walter Hunter, who teaches a http://chronicle.com/article/Getting-Students-Through/22871/

48. Efg's Delphi Math Functions: Constants NegInfinity = 1.0 / 0.0;. These constants should only be used in assignments. Use the IsInfinity function to compare a value with Infinity. Kylix math http://www.efg2.com/Lab/Library/Delphi/MathFunctions/Constants.htm

Delphi/Kylix Math Functions Constants Constants on Dave's Math Tables www.sisweb.com/math/constants.htm Favorite Math Constants http://pauillac.inria.fr/algo/bsolve/constant/constant.html Mathematical Constants and Computation http://xavier.gourdon.free.fr/Constants/constants.html http://xavier.gourdon.free.fr/Constants/Miscellaneous/constantsNumTheory.html Knuth's constants to 1000 decimal and 1100 octal places http://web.comlab.ox.ac.uk/oucl/work/richard.brent/pub/pub036.html Constant Name Description Source(s) Cbrt2, Cbrt3, Cbrt10, Cbrt100, CbrtPi cube roots of various values ESBMaths e (natural constant) e = ESBe, e^2 = ESBe2, e^PI = ESBePi, e^(PI/2) = ESBePiOn2, e^(PI/4) = ESBePiOn4 ESBMaths exp(1.0) natural constant (e) e = 2.718281828459045 system Euler's Gamma Gamma ESBMaths High(OrdinalType) where OrdinalType can be Byte, Word, Integer, LongInt, LongWord, Int64, High(Byte) = 255 High(Word) = 65535 High(LongInt) = 2,147,483,647 High(LongWord) = 4,294,967,295 High(Int64) = 9,223,372,036,854,775,807

49. Boost Mailing Page: RE: [boost] RE: Math Constant - Generic Function Circle_area From Paul A. Bristow (boost_at_hidden) Date 200301-28 061651 Next message Gennaro Prota boost Re is_convertible corner case Previous message Andrei Alexandrescu http://lists.boost.org/Archives/boost/2003/01/43136.php

Boost : Date view Thread view Subject view Author view From: Paul A. Bristow ( boost_at_[hidden] Date: Next message: Gennaro Prota: "[boost] Re: is_convertible corner case" Previous message: Andrei Alexandrescu: "[boost] Re: is_base_and_derived question" In reply to: Joerg Walter: "Re: [boost] RE: math constant - generic function circle_area example." Next in thread: Paul A. Bristow: "RE: [boost] RE: math constant - generic function circle_area example." I have applied to your workaround, initialising and this compiles and runs OK with MSVC 7.0. And better still, it not longer requires MSVC language extensions, nor produces warnings at level 4. So I think we can be confident it is more correct. Sad about other compilers - this is the snag with this representation of constants - it stresses compilers. It is up to the compiler what it provides for long double - C++ says it must provide something. MSVC only provides 64 bit same as double, gcc goes to 80 bit, others up to 128 bit. (See a big table of examples of floating-point formats in my math constants documentation).

50. Direct Variation - Free Math Help Direct Variation. When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. http://www.freemathhelp.com/direct-variation.html

/*********************************************** * AnyLink CSS Menu script- (c) Dynamic Drive DHTML code library (www.dynamicdrive.com) * This notice MUST stay intact for legal use * Visit Dynamic Drive at http://www.dynamicdrive.com/ for full source code ***********************************************/ Home Algebra Geometry Trig ... Worksheets Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If y varies directly as x, the graph of all points that describe this relationship is a line going through the origin (0, 0) whose slope is called the constant of the variation. That's because each of the variables is a constant multiple of the other. Let's review several areas of direct variation. 1) Expressing Direct Variation an an Equation The equation y/x = 6 states that y "varies directly as" x since the ratio of y to x (also written y : x ) never changes. The number 6 in the equation y/x = 6 is called the constant of variation. The equation y/x = 6 can also be written in the equivalent form, y = 6x. That form shows you that y is always 6 times as much as x.

51. Math Forum: Encouraging Mathematical Thinking: Constant Perimeter Project For the rectangles with constant area, there were no limits on the height of the cylinder in theory, the cylinders could become infinitely tall and http://mathforum.org/brap/wrap2/constant_perimeter.html

Abstract Introduction Discourse Interventions ... Table of Contents VIDEO CLIPS: Internet access via modem may mean very long download times for video clips. If you are not on a fast line, you may want to read this paper without viewing the clips. share your thoughts, ideas, questions, and experiences; read what others have to say. The 8.5" x 11" paper rectangle has an area of 93.5 in , but what about its perimeter? Consider the family of rectangles that have, not a constant area, but a constant perimeter, and answer these questions: Make at least 8 physical models of "baseless" cylinders from rectangles with perimeters of 39". You may cut the physical models from paper, draw two-dimensional versions (as in our drawing above), or choose some other method. For the rectangles with constant area, there were no limits on the height of the cylinder: in theory, the cylinders could become infinitely tall and infinitely narrow, or infinitely short and infinitely stout. Is this also true of the family of cylinders with fixed perimeter? Explain. Remember your observation about the cylinders with a constant area: as the cylinders get taller and narrower they hold less, and as they get shorter and stouter they hold more. Through the following exploration, decide whether this is true for constant perimeter as well. (You may need the formula

52. Math Constants Mathematical constants like Pi, e and i are builtin in SpeQ. SpeQ has the following groups of built-in mathematical constants http://www.speqmath.com/usersguide/constants_math.html

Math Constants Mathematical constants like Pi e and i are built-in in SpeQ. SpeQ has the following groups of built-in mathematical constants: General Number theory Chaos theory Combinatorics ... Special values The values for the constants are taken from the Wikipedia, the free online encyclopedia. See Mathematical constants on Wikipedia for more information. Back to top General Name Symbol Value Description Apery Backhouse Cahen e e The base of the natural logarithm function. Napier's constant, or Euler's number. GoldenRatio i i Sqrt(-1) The imaginary unit. You can read more about i on the page Complex Numbers LaplaceLimit Pi The ratio of a circle's circumference to its diameter. Pythagoras Sqrt(2) The square root of 2. Geometrically, Sqrt(2) is the length of a diagonal across a square with sides of one unit of length. Sierpinski K Theodorus Sqrt(3) The square root of 3. Geometrically, Sqrt(3) is the length of a diagonal across a cube with sides of one unit of length. Back to top Number theory Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular. Name Symbol Value AlladiGrinstead BruijnNewMan BrunsPrimeQuadruplets B BrunsTwinPrime B EmbreeTrefethen ErdosBorwein E B EulerMascheroni GolombDickman HafnerSarnakMcCurley D(1) Khinchin KhinchinLevy LandauRamanujan K Legendre B' L MeisselMertens M Mills Niven Porter RamanujanSoldner K TwinPrime C Viswanath K Back to top Chaos theory Chaos theory describes the behavior of certain nonlinear dynamical systems that act chaotic, but with certain deterministic properties.

53. Java Programming/Math - Wikibooks, Collection Of Open-content Textbooks Jump to Math constants There are two constants in the Math class that are fairly accurate approximations of irrational mathematical numbers. http://en.wikibooks.org/wiki/Java_Programming/Math

Java Programming/Math From Wikibooks, the open-content textbooks collection Java Programming This page may need to be reviewed for quality. Jump to: navigation search Contents java.lang.Math Math constants Math.E Math.PI ... edit java.lang.Math The Math class allows for the use of many common mathematical functions that can be used while creating programs. All Math methods are called by this syntax: Math.method(parameters) . There are also two constants in the class which are called by Math.CONSTANT Since it is in the java.lang package, the Math class need not be imported. However, in programs extensively utilizing these functions, a static import can be used. edit Math constants There are two constants in the Math class that are fairly accurate approximations of irrational mathematical numbers. edit Math.E The Math.E constant, or the base of natural logarithms, represents the value of e , about 2.718282. public static final double E = 2.718281828459045; edit Math.PI The Math.PI constant represents the value of pi, about 3.14159265. public static final double PI = 3.141592653589793;

54. Another Fundamental Constant Accused Of Changing - Physics-math - 21 April 2006 Apr 21, 2006 The fundamental constant mu has changed over the last 12 billion years, cosmologists claim a finding which may boost string theory. http://www.newscientist.com/article/dn9033-another-fundamental-constant-accused-

@import "/css/gridmain.css"; @import "/css/article.css"; @import "/css/comlist.css"; @import "/data/images/ns/haas/haas.css"; SUBSCRIBE TO NEW SCIENTIST Select a country United Kingdom USA Canada Australia New Zealand Other Log in Email Password Remember me Your login is case sensitive Forgotten your password? Subscriber? Activate now! Subscribe now Institutional Subscribers ... News Another fundamental constant accused of changing 13:55 21 April 2006 by Amarendra Swarup Cosmologists claim to have found evidence that yet another fundamental constant of nature, called mu , may have changed over the last 12 billion years. If confirmed, the result could force some physicists to radically rethink their theories. It would also provide support for string theory, which predicts extra spatial dimensions. Speed of light may have changed recently The ratio of a proton's mass to that of an electron, known as mu , is among the most mysterious of constants. There is no explanation for why the proton's mass should be 1836 times that of the electron. The constant governs the strong nuclear force, which holds protons and neutrons together in atomic nuclei, and is also responsible for binding the quarks - the building blocks which make up protons - neutrons and most other fundamental particles.

55. Math Constants define _USE_MATH_DEFINES // for C++ include cmath define _USE_MATH_DEFINES // for C include math.h http://msdn.microsoft.com/en-us/library/4hwaceh6.aspx

56. Example Math Constant - Example Math Constant Buffon s Needle simulation and a surprising demonstration of Barbier s theorem about shapes of constant width Bashrc Path Examples http://unlockcellphonecode.com/kii7qjQAF/

57. Cynthia Lanius' Lesson: Stressed Out - Slope As Rate Of Change Mathematics lessons for elementary, middle, and high school including functions. http://www.math.rice.edu/~lanius/Algebra/stress.html

Cynthia Lanius Pictured:The Yerkes-Dodson Law Stressed Out Slope as Rate of Change It's the night of the big game (or play). You're in the locker room (or dressing room). The coach (make that director) is pumping the team (cast) up. "Now, I know you people are nervous. That's okay, in fact, that's what we want. You're going to perform better on the court (stage) if you're a little nervous". Does the graph above confirm what the coach (director) told you? Here are some questions for you based upon the graph. Write a statement that describes performance as stress increases. Which part of the graph illustrates where stress is highest? What is performance at that point? Which part of the graph illustrates where performance is highest? Which part of the graph illustrates where performance is increasing? Which part of the graph illustrates where performance is decreasing? Notice that the graph is symmetric about a vertical line. What would you say this indicates about performance? What if this were a graph of your bank balance over a year. Describe what the graph would indicate about your saving and spending practices. Slope as Rate of Change There is a direct relation between the rate of change of a function and the slope of its lines.

58. Graph Of A Constant Function | Math Homework Help Mar 15, 2008 The graph of the constant function is a straight line parallel to x axis, which is above or below according to k is positive or negative. http://blog.mathsupporter.com/graph-of-functions-constant-function/

59. Math - Constant Variation - JustAnswer Here you can find questions containing constant variation http://www.justanswer.com/tags/Math/constant-variation

JustAnswer Math Constant Variation Ask A Question ... Help Math Ask a Math Question, Get an Answer ASAP! 6 Math Tutors are Online Now Type your question here characters left: Not a Math Question? Posts tagged with "Constant Variation" Related Math Topics Base Conversions Area Right Triangle Add And Simplify Compound Interest Table ... Multiplying 1 Constant Variation Questions Date Submitted To estimate animal populations, biologists count the total Hello, I need help with an Algebra assignment due tom (sun I need some help with these homework questions:   Find the Ok, the variation constant of variation varies as a and y=80, ... RSS How JustAnswer Works Ask an Expert Get a Professional Answer 100% Satisfaction Guarantee Credentials confirmed by a Fortune 500 verification firm. Thousands of Experts in over 100 categories. Via email, text message, or notification as you wait on our site.

60. XNA Math Library Compiler Constants XNA Math Library Compiler Constants. The following constants allow developers to tune exactly what functionality will be used by the XNA Math library. http://msdn.microsoft.com/en-us/library/ee415576(VS.85).aspx

Home Library Learn Downloads ... Compiler Constants Community Content Add code samples and tips to enhance this topic. More... XNA Math Library Compiler Constants The following constants allow developers to tune exactly what functionality will be used by the XNA Math library. Constant Description The version of the XNA Math library. The size (in bytes) of the cache line used with XNA Math for stream operations. An optimal representation of An optimal representation of 2* An optimal representation of 1/ An optimal representation of 2/ An optimal representation of An optimal representation of A constant used to construct a control vector used with XMVectorPermute . Indicates that the X component of the first of the vector arguments to XMVectorPermute is to be copied to the index location in a result vector corresponding to its index in the control vector. For example a control vector with XM_PERMUTE_0X as its second component would copy the X component of the first vector to the second component of the result vector.

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