61. AoPS Math Forum :: View Topic - Catalan, Euler Constant Mandelbrot Competition math Jam Wednesday, Aug 24 at 730 PM ET Post Posted Tue Mar 29, 2005 1008 am Post subject Euler s constant, 3 Mark this post http://www.artofproblemsolving.com/Forum/topic-18240.html

The AoPS Independent Study Programs begins Friday, Sept 9. Enrollments are limited. Enrollment deadline is Sept 19. Font Size: The time now is Fri Sep 16, 2005 2:32 pm All times are GMT - 7 Hours Catalan, Euler constant Mark the topic unread Math Forum Olympiad Section ... Number Theory Open Questions Moderators: amfulger Arne harazi Megus ... pbornsztein Page of [3 Posts] Printer View Tell a Friend View previous topic View next topic Author Message Moubinool Navier-Stokes Equations Joined: 27 Aug 2003 Posts: 1979 Posted: Sun Oct 17, 2004 1:35 pm Post subject: Catalan, Euler constant Source: web Are they irrational ? m.o. Paris Back to top djimenez Navier-Stokes Equations Joined: 08 Feb 2005 Posts: 1411 Posted: Wed Mar 23, 2005 9:10 am Post subject: Wow! how ignorant one can be... or how missinformed. I had been always told that was for sure, not only irrational but transcendental. Nevertheless, doing a small research along the web, it seems like both constants are not known to be irrational, those are open problem!!! Does any one wants to give it a try? There is just one thing that is easier to get than to lose, WEIGHT

62. All About Acid Dissociation Constant - RecipeLand.com Reference Library By analogy, one can define the basicity constant ( math K_b math ) and the math pK_b math of the conjugate base A – http://www.recipeland.com/encyclopaedia/index.php/Acidity_constant

Home Browse Recipes Recipes By Title Recipes By Ingredient ... Community Find Recipes By Category Latest Reviews Latest Ratings Top 10 Recipes ... Top 10 Searches By Letter: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Search Encylopedia Browse Culture Geography History Life ... Technology Acid dissociation constant Categories Chemistry Biochemistry Acids (Redirected from Acidity constant In chemistry and biochemistry acid dissociation constant , the acidity constant , or the acid-ionization constant equilibrium constant that indicates the extent of dissociation of hydrogen ions from an acid . While strong acids dissociate more or less completely in solution and consequently have large acidity constants, weak acids do not fully dissociate and generally have acidity constants significantly less than 1. Because this constant differs for each acid and varies over many degrees of magnitude, the acidity constant is often represented by the inverse of its common logarithm pH , though not related directly). Given a weak acid HA, its dissolution into water is subject to the following HA + H O + A + A , the difference being only what theory of acids/bases you are applying. See the

63. All About Planck's Constant - RecipeLand.com Reference Library Planck s constant, denoted h, is a physical constant that is used to Thus, math \hbar math may be said to be the quantum of angular momentum . http://www.recipeland.com/encyclopaedia/index.php/Planck's_constant

Home Browse Recipes Recipes By Title Recipes By Ingredient ... Community Find Recipes By Category Latest Reviews Latest Ratings Top 10 Recipes ... Top 10 Searches By Letter: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Search Encylopedia Browse Culture Geography History Life ... Technology Planck's constant Categories Fundamental constants Planck's constant , denoted h , is a physical constant that is used to describe the sizes of quanta . It plays a central role in the theory of quantum mechanics , and is named after Max Planck , one of the founders of quantum theory. It has a value of approximately With eV s as energy unit: Planck's constant has units of energy multiplied by time , which are the units of action . These units may also be written as momentum times distance N m s ), which are the units of angular momentum A closely-related quantity is the reduced Planck constant (sometimes called Dirac's constant pi . This constant is pronounced as "h-bar". The figures cited here are the 2002 CODATA -recommended values for the constants and their uncertainties. The 2002 CODATA results were made available in December 2003 and represent the best-known, internationally-accepted values for these constants, based on all data available through 31 December 2002. New CODATA figures are scheduled to be published approximately every four years. Planck's constant is used to describe quantization, a phenomenon occurring in microscopic

64. Fine Structure Constant, Alpha The fine structure constant itself is usually denoted by alpha with no subscript. Tour through mathNet Links to the mathematical world General http://www.fine-structure-constant.org/

James G. Gilson, Fine Structure Constant The fine structure constant, a 20th century mystery The question of how to calculate the numerical value of the fine structure constant from theory was one of the most outstandingly difficult problems in mathematical physics for the greater part of the 20th century. There were many unsuccessful attempts by researchers including famous ones such as P. A. M. Dirac to find a formula for the fine structure constant. See John Baez's website page Open Questions in Physics and also the PhysLINK website. Substantial progress with this fundamental problem is outlined on this web page. R.P. Feynman in a remarkable intuitional leap some 40 years ago as can be seen from the following much quoted extract from one of Feynman's books. fundamental quantum coupling constants are given by the very simple formula depending on two integer parameters n and n ,n ) = n The values of the quantum coupling constants are often denoted by the lower case Greek letter alpha alpha with no subscript.

65. Core JavaScript 1.5 Reference:Global Objects:Math - Devmo All properties and methods of math are static. You refer to the constant pi as math.PI and you call the sine function as math.sin(x) , where x is the http://developer.mozilla.org/en/docs/Core_JavaScript_1.5_Reference:Objects:Math

Skip to main content Visit Mozilla.org Mozilla Developer Network Create an account or log in ... Webwatch Hide Sidebar Show Sidebar Related Navigation Main Page Community portal Current events Recent changes ... Donations Views Article Discussion Edit History Toolbox What links here Related changes Upload file Special pages ... Printable version In other languages Polski Core JavaScript 1.5 Reference:Global Objects:Math From Devmo (Redirected from Core JavaScript 1.5 Reference:Objects:Math Main Page Core JavaScript 1.5 Reference Global Objects Math Contents Summary Created by Description Properties ... edit Summary Core Object A built-in object that has properties and methods for mathematical constants and functions. For example, the Math object's PI property has the value of pi. edit Created by The Math object is a top-level, predefined JavaScript object. You can automatically access it without using a constructor or calling a method. edit Description All properties and methods of Math are static. You refer to the constant pi as Math.PI and you call the sine function as Math.sin(x)

66. Proportional: Definition, Synonyms And Much More From Answers.com In this case, k is called the proportionality constant or constant of proportionality of the relation. (math.) Proportionale. (Greek) http://www.answers.com/topic/proportionality

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Dictionary Thesaurus WordNet Wikipedia Translations Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping proportional Dictionary pro·por·tion·al prə-p´r shə-nəl, -pōr adj. Forming a relationship with other parts or quantities; being in proportion. Properly related in size, degree, or other measurable characteristics; corresponding: Punishment ought to be proportional to the crime. Mathematics. Having the same or a constant ratio. n. One of the quantities in a mathematical proportion. pro·por tion·al i·ty -shə-năl Ä­-tē n. pro·por tion·al·ly adv. Thesaurus proportional adjective Properly or correspondingly related in size, amount, or scale: commensurable commensurate proportionate Idioms: in proportion. See big/small/amount Characterized by or displaying symmetry, especially correspondence in scale or measure: balanced proportionate regular symmetric ... symmetrical See same/different/compare WordNet Note: click on a word meaning below to see its connections and related words. The noun proportional has one meaning: Meaning #1 one of the quantities in a mathematical proportion The adjective proportional has 2 meanings: Meaning #1 properly related in size or degree or other measurable characteristics; usually followed by `to'

67. Constant Math constant math performs basic mathematical operations between the source data and a constant value within an area and the specified color channel. http://www.pixlock.de/Exbem/Exbem Help/Operators/Basics/Constant Math.html

Exbem Help Home Introduction What's New Requirements ... Basics: Constant Math "Constant Math" performs basic mathematical operations between the source data and a constant value within an area and the specified color channel. This operation can be applied to a single or multiple color channels at the same time. In the case you want to choose more than one channel, you can press the "Shift" key while selecting or deselecting a channel. The following mathematical operations (modes) are available: "Set" replaces each pixel by the specified constant. "Add" adds the constant to the source. "Subtract" subtracts the constant from the source image. "Difference" calculates the absolute value of the difference between the constant and the source. "Multiply" multiplies the source by the constant. "Min" replaces each pixel value by the minimum of the constant and the source. "Max" replaces each pixel value by the maximum of the constant and the source. Some of the modes offer the option "...with Saturation". In this case the resulting pixel value is clipped at the maximum or minimum allowable value. However, in some cases it may be useful to disable clipping, e.g. in the case of operations in the "Hue" channel. As constant value you can specify a number with an integer and a fractional part. In the case of 8 bits pixel depth only the integer part is considered, and if you deal with 16 bits per channel, the fractional part is also considered.

68. Kids.net.au - Encyclopedia Planck S Constant - The constant math \hbar /math is sometimes referred to as Dirac s constant after Paul Dirac. The unicode symbol 8463; (?) can be used for this on some http://www.kids.net.au/encyclopedia-wiki/pl/Plancks_constant

Web kids.net.au Thesaurus Dictionary Kids Categories Encyclopedia ... Contents Encyclopedia - Planck's constant Redirected from Plancks constant Planck's constant , denoted h , named after the physicist Max Planck , is a physical constant which appears in all quantum mechanical equations. Its value is approximately h Js Planck's constant can be seen as a conversion factor between frequency and energy , especially for photons . The unicode The abbreviation Pi Dirac's constant after Paul Dirac angular momentum , including spin Heisenberg's uncertainty principle h Planck units see also: Electromagnetic radiation Schrödinger equation Heisenberg's uncertainty principle Wave-particle duality ... Quantum Hall effect Based on Wikipedia database Printer safe version Link to Kids.Net.Au About Us Create Bookmark ... Add Kids.net.au to your site! Kids.net.au - Search engine for kids, children, educators and teachers - Searching sites designed for kids that are child safe and clean. Information on this site is sourced from Dmoz.org, Wikipedia.org and Kids.net.au

69. [math-ph/9910008] Constant Of Motion For One-Diemnsional Non Autonomous Linear S mathph/9910008. From Gustavo Lopez view email Date Sun, For a one-dimensional motion, a constant of motion for non autonomous an linear system http://suriya.library.cornell.edu/abs/math-ph/9910008

Mathematical Physics, abstract math-ph/9910008 From: Gustavo Lopez [ view email ] Date: Sun, 3 Oct 1999 22:58:43 GMT (3kb) Constant of Motion for One-Diemnsional Non Autonomous Linear Systems and Harmonic Oscillator Authors: Gustavo Lopez Comments: 7 pages, TeX file Subj-class: Mathematical Physics; Dynamical Systems For a one-dimensional motion, a constant of motion for non autonomous an linear system (position and velocity) is given from the constant of motion associated to its autonomous system. This approach is used in the study of the harmonic oscillator with an additional time depending force. Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers? Links to: arXiv math-ph find abs

70. Math You reference the constant PI as math.PI . constants are defined with the full precision of real numbers in JavaScript. Similarly, you reference math http://home.netscape.com/eng/mozilla/3.0/handbook/javascript/ref_m-q.htm

[Previous reference file] Math Object. A built-in object that has properties and methods for mathematical constants and functions. For example, the Math object's PI property has the value of pi. Syntax To use a Math object: 1. Math. propertyName 2. Math. methodName parameters Parameters propertyName is one of the properties listed below. methodName is one of the methods listed below. Property of None. The Math object is a top-level, built-in JavaScript object. Implemented in Navigator 2.0 Description You reference the constant PI as Math.PI . Constants are defined with the full precision of real numbers in JavaScript. Similarly, you reference Math functions as methods. For example, the sine function is Math.sin(argument) , where argument is the argument. It is often convenient to use the with statement when a section of code uses several Math constants and methods, so you don't have to type "Math" repeatedly. For example, a = PI * r*r y = r*sin(theta) x = r*cos(theta) Properties The Math object has the following properties: E PI Methods The Math object has the following methods: abs acos asin atan ... valueOf Event handlers None.

71. Havil, J.: Gamma: Exploring Euler's Constant. of the book Gamma Exploring Euler s constant by Havil, J., Sure to be popular with not only students and instructors but all math...... http://www.pupress.princeton.edu/titles/7494.html

SEARCH: Keywords Author Title More Options Power Search Search Hints E-MAIL NOTICES NEW IN PRINT E-BOOKS ... HOME PAGE Gamma: Exploring Euler's Constant Julian Havil With a foreword by Freeman Dyson Shopping Cart Reviews Table of Contents Introduction [in PDF format] ... Search within this book at Google Print Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . up to 1/n, minus the natural logarithm of nthe numerical value being 0.5772156. . .. But unlike its more celebrated colleagues p and e, the exact nature of gamma remains a mysterywe don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics todaythe Riemann Hypothesis (though no proof of either is offered!).

72. ITworld.com - JAVASCRIPT - Keeping Constant The math object s properties are mathematical constants. Here s a list of them. E Euler s number, the constant e. LN10 The natural logarithm of 10. http://www.itworld.com/nl/javascript/01022001/

Special: Prepare your infrastructure for high-density computing Go to network sites www.itworld.com open.itworld.com security.itworld.com smallbusiness.itworld.com storage.itworld.com utilitycomputing.itworld.com wireless.itworld.com Search Home Newsletter Archive JAVASCRIPT Keeping Constant Sign up for JAVASCRIPT More Newsletters Printer Friendly Format Mail to a friend JAVASCRIPT - 01/02/2001 David Wall You know about variables and mathematical operators kid stuff compared to the Math object. The Math object gives you quick and easy access to dozens of mathematical constants and functions useful when you write trigonometric and algebraic programs. The following exercises introduce you, first to the properties of the Math object – constants – and then to the methods of the Math object functions. Advertisement On this topic Newsletters JavaScript. Sign up Now! More news on this subject Application Composer shows promise Backgrounder: ASP and JSP HTML e-mail open to 'wiretaps' Scripting systems unite White Papers JavaScript Search the Newsletter Archives The Entire Archive WINDOWS SECURITY UNIX SYSTEM ADMINISTRATION eBUSINESS INSIGHTS UNIX IN THE ENTERPRISE JAVA TUTOR LINUX DESKTOP APPLICATIONS SECURITY STRATEGIES MANAGING THE IT PROFESSIONAL WINDOWS IN THE ENTERPRISE UNIX SECURITY ITWORLD.COM THIS WEEK

73. Math Articles, Tutorials And Other Website Content At Constant-content.com Website articles and tutorials, get custom articles written just for your web site. http://www.constant-content.com/view/254/1/Math/

What is Constant-Content? Download Articles, Tutorials, Product Reviews, and all types of content that you can add to your website. :: Articles :: Tutorials :: Reviews :: Search ... :: Affiliate Login About The Site Skip Navigation About Us Why do you need Content? FAQ's ... Author and Customer Forum View Content View Articles View Tutorials View Reviews Search Content ... Skip to Content You are here: All Content Articles Education Math Available Content If you can't find what you're looking for, submit a request (2500+ Writers Waiting). All Content Articles Education Math MATH COMPREHENSION TEST - Homeschool Worksheet This homeschool math test is designed to ensure that your child IS PAYING ATTENTION! The worksheet seems simple, and kids tend to skip the instructions. But the instructions indicated NOT to complete the assignment. I used this test for both of my children during homeschool. Submitted By Nicole Scarlett-Stevens on July 11th 2005 Downloads: More Author Login Become an Author Penname: Password: Remember me Customer Login Create a Customer Account Login here to view your orders Email: Password: Content Search All Content Articles Reviews Tutorials Free Content All words Any Word Exact Phrase Recent Content Advanced Partners Web Site Promotion Page Resource Web Design Library

74. World Builders: Math For The Solar Constant In The Biosphere E Viau CSULA Try to understand the basic idea, and don t use my math numbers on any gets to the earth s surface at the equator at noon is called The Solar constant. http://www.world-builders.org/lessons/less/biomes/SunEnergy_good.html

Home Science Notes Web Links Biomes ... Lessons Following the Energy Trail Let's see how the sun's energy flows in the Biosphere. Warning: I am making a lot of assumptions and doing a lot of rounding in the math here. My numbers may be off by several thousand percent, but I think the process is all right. Try to understand the basic idea, and don't use my math numbers on any Important Exams unless you have checked them out! Dr Viau says, "Gerald Nordley and Mark Wistey were kind enough to help with this, but I made the mistakes all by myself!" The Solar Constant How much of the sun's energy gets to the surface of the earth, and what does that mean to a lemming? The earth gets only 2 billionths of the sun's energy, but that is still a lot. However, you can see on the chart that life (through photosynthesis) uses only 023% of the energy that reaches the surface of the earth 34% of the sun's energy is reflected back into space by snow and clouds. This reflective quality of a planet is called its

75. Notable Properties Of Specific Numbers At MROB This is the Omega constant, which satisfies each of these simple Expressed as a continued fraction, the constant is 0 + 1/(20 + 1/(21 + 1/(21 + 1/(22 + http://home.earthlink.net/~mrob/pub/math/numbers.html

Notable Properties of Specific Numbers Introduction These are some numbers with notable properties. (Most of the less notable properties are listed here .) Other people have compiled similar lists, but this is my I think are important A few rules I used in this list: Everything can be understood by a typical undergraduate college student. If multiple numbers have a shared property, that property is described under one "representative" number with that property. I try to choose the smallest representative that is not also cited for another property. When a given number has more than one type of property, the properties are listed in this order: 1. Purely mathematical properties unrelated to the use of base 10 (example: 137 is prime.) 2. Base-10-specific mathematical properties (example: 137 is a prime with all-prime digits) 3. Things related to the physical world but outside human culture (example: 137 is close to the reciprocal of the fine-structure constant, once thought to be exact but later found to be closer to 137.036...) 4. All other properties (example: 137 has often been given almost mystical significance due to its proximity to the fine-structure constant, most famously by Eddington)

76. Mudd Math Fun Facts: Kaprekar's Constant hosted by the Harvey Mudd College math Department Kaprekar s constant. Take any four digit number (whose digits are not all identical), http://www.math.hmc.edu/funfacts/ffiles/10002.5-8.shtml

hosted by the Harvey Mudd College Math Department Francis Su Any Easy Medium Advanced Search Tips List All Fun Facts Fun Facts Home About Math Fun Facts ... Other Fun Facts Features 181936778.1846 Fun Facts viewed since 20 July 1999. Francis Edward Su From the Fun Fact files, here is a Fun Fact at the Easy level: Kaprekar's Constant Take any four digit number (whose digits are not all identical), and do the following: Rearrange the string of digits to form the largest and smallest 4-digit numbers possible. Take these two numbers and subtract the smaller number from the larger. Use the number you obtain and repeat the above process. What happens if you repeat the above process over and over? Let's see... Suppose we choose the number 3141. The process eventually hits 6174 and then stays there! But the more amazing thing is this: every four digit number whose digits are not all the same will eventually hit 6174, in at most 7 steps, and then stay there! Presentation Suggestions: Remember that if you encounter any numbers with fewer than has fewer 4 digits, it must be treated as though it had 4 digits, using leading zeroes. Example: if you start with 3222 and subtract 2333, then the difference is 0999. The next step would then consider the difference 9990-0999=8991, and so on. You might ask students to investigate what happens for strings of other lengths or in other bases. The Math Behind the Fact: Each number in the sequence uniquely determines the next number in the sequence. Since there are only finitely many possibilities, eventually the sequence must return to a number it hit before, leading to a cycle. So any starting number will give a sequence that eventually cycles. There can many cycles; however, for length 4 strings in base 10, there happens to be 1 non-trivial cycle, and it has length 1 (involving the number 6174).

77. Density Constant - Physics Help And Math Help - Physics Forums Physics Forums is a science and physics community. http://www.physicsforums.com/showthread.php?threadid=84137

78. [math/0209070] Criteria For Irrationality Of Euler's Constant math.NT/0209070. From Jonathan Sondow view email Date Fri, Criteria for Irrationality of Euler s constant. Authors Jonathan Sondow http://arxiv.org/abs/math.NT/0209070/

Mathematics, abstract math.NT/0209070 From: Jonathan Sondow [ view email ] Date ( ): Fri, 6 Sep 2002 15:56:37 GMT (375kb) Date (revised v2): Fri, 4 Oct 2002 00:06:14 GMT (56kb) Criteria for Irrationality of Euler's Constant Authors: Jonathan Sondow Comments: Subj-class: Number Theory; Combinatorics MSC-class: Primary 11J72, Secondary 05A19 Journal-ref: Proc. Amer. Math. Soc. 131 (2003) 3335-3344 Full-text: PostScript PDF References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers? Links to: arXiv math find abs

79. [math/0407514] Geodesically Reversible Finsler 2-spheres Of Constant Curvature math.DG/0407514. From Robert L. Bryant view email Date Thu, 29 Jul 2004 143648 GMT Geodesically reversible Finsler 2spheres of constant curvature http://arxiv.org/abs/math.DG/0407514

Mathematics, abstract math.DG/0407514 From: Robert L. Bryant [ view email ] Date ( ): Thu, 29 Jul 2004 14:36:48 GMT (11kb) Date (revised v2): Mon, 2 Aug 2004 19:25:23 GMT (13kb) Geodesically reversible Finsler 2-spheres of constant curvature Authors: Robert L. Bryant Comments: 11 pages, references added, some arguments improved and exposition rearranged Subj-class: Differential Geometry MSC-class: A Finsler space is said to be geodesically reversible if each oriented geodesic can be reparametrized as a geodesic with the reverse orientation. A reversible Finsler space is geodesically reversible, but the converse need not be true. In this note, building on recent work of LeBrun and Mason, it is shown that a geodesically reversible Finsler metric of constant flag curvature on the 2-sphere is necessarily projectively flat. As a corollary, using a previous result of the author, it is shown that a reversible Finsler metric of constant flag curvature on the 2-sphere is necessarily a Riemannian metric of constant Gauss curvature, thus settling a long-standing problem in Finsler geometry. Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers?

80. Search.cpan.org: Tels / Math-BigInt-Constant-1.06 mathBigInt-constant-1.05 13 Jan 2004. Links, CPAN Testers Discussion Forum View/Report Bugs Tools . CPAN Testers, PASS (2) View http://search.cpan.org/~tels/Math-BigInt-Constant-1.06/

Home Authors Recent News ... Feedback in All Modules Distributions Authors Tels > Math-BigInt-Constant-1.06 Math-BigInt-Constant-1.06 This Release Math-BigInt-Constant-1.06 Download Browse 01 Jan 2005 Other Releases Math-BigInt-Constant-1.05 13 Jan 2004 Links CPAN Testers Discussion Forum View/Report Bugs Tools CPAN Testers PASS (2) [ View Rating Rate this distribution License Perl ( Artistic and GPL Special Files CHANGES INSTALL LICENSE MANIFEST ... SIGNATURE Modules Math::BigInt::Constant Arbitrary sized constant integers hosted by perl.org , hardware provided by

Page 4     61-80 of 109    Back | 1  | 2  | 3  | 4  | 5  | 6  | Next 20