61. Math Forum: Ask Dr. Math FAQ: About E What is e? Who first used e? How do you find it? How many digits is it? http://mathforum.org/dr.math/faq/faq.e.html

Ask Dr. Math: FAQ A bout e Dr. Math FAQ Classic Problems Formulas Search Dr. Math ... Dr. Math Home What is e ? Who first used e ? How do you find it? How many digits does it have? e = 2.71828..., the Base of Natural Logarithms e is a real number constant that appears in some kinds of mathematics problems. Examples of such problems are those involving growth or decay (including compound interest), the statistical "bell curve," the shape of a hanging cable (or the Gateway Arch in St. Louis), some problems of probability, some counting problems, and even the study of the distribution of prime numbers. It appears in Stirling's Formula for approximating factorials. It also shows up in calculus quite often, wherever you are dealing with either logarithmic or exponential functions. There is also a connection between e and complex numbers, via Euler's Equation e is usually defined by the following equation: e = lim n->infinity (1 + 1/n) n Its value is approximately 2.718281828459045... and has been calculated to 869,894,101 decimal places by Sebastian Wedeniwski (you'll find the first 50 digits in a Table of constants with 50 decimal places,

62. E -- From Wolfram MathWorld The constant e is base of the natural logarithm. e is sometimes known as Napier's constant, although its symbol (e) honors Euler. e is the unique number with the property that the http://mathworld.wolfram.com/e.html

63. Have Physical Constants Changed With Time? The fundamental laws of physics, as we presently understand them, depend on about 25 parameters, such as Planck s constant h, the gravitational constant G, http://www.desy.de/user/projects/Physics/ParticleAndNuclear/constants.html

[Physics FAQ] Extra references added 2005. Original by Steve Carlip. Have physical constants changed with time? The fundamental laws of physics, as we presently understand them, depend on about 25 parameters, such as Planck's constant h, the gravitational constant G, and the mass and charge of the electron. It is natural to ask whether these parameters are really constants, or whether they vary in space or time. Interest in this question was spurred by Dirac's large number hypothesis. The "large number" in question is the ratio of the electric and the gravitational force between two electrons, which is about 10 ; there is no obvious explanation of why such a huge number should appear in physics. Dirac pointed out that this number is nearly the same as the age of the Universe in atomic units, and suggested in 1937 that this coincidence could be understood if fundamental constants in particular, G varied as the Universe aged. The ratio of electromagnetic and gravitational interactions would then be large simply because the Universe is old. Such a variation lies outside ordinary general relativity, but can be incorporated by a fairly simple modification of the theory. Other models, including the Brans-Dicke theory of gravity and some versions of superstring theory, also predict physical "constants" that vary. Over the past few decades, there have been extensive searches for evidence of variation of fundamental "constants." Among the methods used have been astrophysical observations of the spectra of distant stars, searches for variations of planetary radii and moments of inertia, investigations of orbital evolution, searches for anomalous luminosities of faint stars, studies of abundance ratios of radioactive nuclides, and (for current variations) direct laboratory measurements.

64. Constant | Define Constant At Dictionary.com –adjective 1. not changing or varying; uniform; regular; invariable All conditions during the three experiments were constant. 2. continuing without pause or letup http://dictionary.reference.com/browse/constant

65. Math & Scientific Constants - LabVIEW 2009 Help - National Instruments Use the Math Scientific Constants to create LabVIEW applications. The following constants are Committee on Data for Science and Technology (CODATA) 2006 http://zone.ni.com/reference/en-XX/help/371361F-01/glang/addit_numeric_constants

Cart Help You are here: NI Home Support Product Reference Manuals ... Table of Contents LabVIEW 2009 Help Edition Date: June 2009 Part Number: View Product Info Owning Palette: Express Numeric Functions Numeric Functions Requires: Base Package. This topic might not match its corresponding palette in LabVIEW depending on your operating system, licensed product(s), and target. The following constants are Committee on Data for Science and Technology (CODATA) 2006 values. Some of the constants on this palette have units. Avogadro Constant (1/mol) Returns the value 6.02214179e23. Base 10 Logarithm of e Returns the value 0.43429448190325183. Elementary Charge (C) Gravitational Constant (N m /kg Molar Gas Constant (J/(mol K)) Returns the value 8.314472. Natural Logarithm Base Returns the value 2.7182818284590452. Natural Logarithm of Pi Returns the value 1.1447298858494002. Natural Logarithm of 2 Returns the value 0.69314718055994531. Natural Logarithm of 10 Returns the value 2.3025850929940597. Pi Returns the value 3.1415926535897932. Pi Divided by 2 Returns the value 1.5707963267948966.

66. Math Tools Browse Browsing All Content in PreCalculus for increasing, decreasing and constant rates of change Browse discussions Login to Subscribe / Save Results http://mathforum.org/mathtools/cell/pc,14.1.16,ALL,ALL/

67. PHP: Predefined Constants - Manual , Availability......Oct 22, 2010 The constants below are always available as part of the PHP core. Math constants . Constant, Value, http://php.net/manual/en/math.constants.php

@import url("http://static.php.net/www.php.net/styles/site.css"); @import url("http://static.php.net/www.php.net/styles/phpnet.css"); @import url("http://static.php.net/www.php.net/styles/print.css"); downloads documentation faq getting help ... my php.net s earch for in the all php.net sites this mirror only function list online documentation bug database Site News Archive All Changelogs just pear.php.net just pecl.php.net just talks.php.net general mailing list developer mailing list documentation mailing list PHP Manual Function Reference Mathematical Extensions Math ... Math Functions Resource Types Last updated: Fri, 29 Oct 2010 view this page in Brazilian Portuguese French German Japanese Polish Romanian Persian Spanish Turkish Other Predefined Constants The constants below are always available as part of the PHP core. Math constants Constant Value Description Availability Pi e log_2 e log_10 e pi/2 pi/4 1/pi 2/pi sqrt(pi) PHP 5.2.0 2/sqrt(pi) sqrt(2) sqrt(3) PHP 5.2.0 1/sqrt(2) log_e(pi) PHP 5.2.0 Euler constant PHP 5.2.0 Round halves up PHP 5.3.0 Round halves down PHP 5.3.0

68. YouTube - Say E math constant e http://www.youtube.com/watch?v=JBHINRai6rc

69. Some Famous Mathematical Constants Feb 20, 1998 A table of 120 known constants in math, such as Pi, e, sqrt(2), parking constant , Another source of mathematical constants is http://www.cs.uwaterloo.ca/~alopez-o/math-faq/mathtext/node16.html

Next: Human Interest Up: Special Numbers and Functions Previous: Name for f(x)^(f(x)) = Some Famous Mathematical Constants A table of 120 known constants in math, such as Pi, e, sqrt(2), parking constant, Feigenbaum constant, etc. each of them is with references, and up to 1024 digits when possible can be found at the Centre for Experimental and Constructive Mathematics, Simon Fraser University at http://www.cecm.sfu.ca/projects/ISC.html Another source of mathematical constants is: http://www.mathsoft.com/asolve/constant/constant.html maintained by Steve Finch. Alex Lopez-Ortiz Fri Feb 20 21:45:30 EST 1998

70. E (mathematical Constant) - Definition The mathematical constant e (occasionally called Euler s number after the Swiss mathematician Leonhard Euler, or Napier s constant in honor of the Scottish http://www.wordiq.com/definition/E_(mathematical_constant)

E (mathematical constant) - Definition The title given to this article is incorrect due to technical limitations . The correct title is e (mathematical constant) The mathematical constant e (occasionally called Euler's number after the Swiss mathematician Leonhard Euler , or Napier's constant in honor of the Scottish mathematician John Napier who introduced logarithms ) is the base of the natural logarithm function. It is approximately equal to Alongside the number and the imaginary unit i e is one of the most important mathematical constants . It has a number of equivalent definitions; some of them are given below. Contents showTocToggle("show","hide") 1 Definitions 2 Properties 2.1 Proofs 3 History ... 6 Reference Definitions The three most common definitions of e are the following. 1. Define e by the following limit 2. Define e as the sum of the following infinite series where n ! is the factorial of n 3. Define e to be the unique number x > such that A proof of the equivalence of these definitions is available. Properties Many growth or decay processes can be modeled with an exponential function. The

71. EXP - Excel - Microsoft Office Returns e raised to the power of number. The constant e equals 2.71828182845904, the base of the natural logarithm. Syntax EXP ( number ) Number is the exponent applied to the http://office.microsoft.com/en-us/excel-help/exp-HP005209082.aspx

72. Getting Students Through Remedial Math Is A Constant Struggle, But File Format PDF/Adobe Acrobat Quick View http://www.careerladdersproject.org/docs/presentations/Remedial Math.pdf

73. Definition Of Constant Illustrated Math Dictionary Definition of Constant Constant A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a http://www.mathsisfun.com/definitions/constant.html

74. 常數項 (soeng4 Sou3 Hong6 | Chang2 Shu4 Xiang4) : [math.] Constant Term - Can CantoDict an Online Collaborative Chinese (Cantonese) Dictionary. Level 4 This term is used in both Cantonese and Mandarin/Standard written Chinese. http://www.cantonese.sheik.co.uk/dictionary/words/25363/

Characters Words Sentences Chinese Translation ... What is this page showing me? soeng sou hong chang shu xiang [math.] constant term Level: 4 This term is used in both Cantonese and Mandarin/Standard written Chinese. This word was added by bybell on 13th Aug 2006 23:36 and last edited on 30th Oct 2008 19:03 Add to vocab list: Create my first list Sponsors: One-on-One Online Chinese Tutoring Classic Games Mandarin Learn Spanish ... Learn Chinese Characters in this word: soeng - common, ordinary; frequently sou sou - count; enumerate hong - [1] the back of the neck; nape [2] [n] back of Forum Code to link to this word: [big][url=http://www.cantonese.sheik.co.uk/dictionary/words/25363/]常數項[/url][/big] HTML Code to link to this word: <a href="http://www.cantonese.sheik.co.uk/dictionary/words/25363/" class="chinesemed" target="_blank">&#24120;&#25976;&#38917;</a> Search CantoDict safe search is on) English meaning Chinese Character Chinese Word Chinese Word (initial) Chinese Word (final) Jyutping (Cantonese) Pinyin (Mandarin) Radical Unicode value Meaning of sentence Please note, CantoDict currently supports searching for Simplified Chinese, but results will be returned in Traditional Chinese.

75. [exslt] Math:constant() And Math:random() exslt mathconstant() and mathrandom(). Jeni Tennison jeni at jenitennison. com. Sun Apr 28 044650 MDT 2002. Previous message exslt mathconstant() http://lists.fourthought.com/pipermail/exslt/2002-April/000454.html

Jeni Tennison jeni at jenitennison.com Sun Apr 28 04:46:50 MDT 2002 Previous message: Next message: Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] OK, so the signature would be: node-set math:random(number length?, number seed?, number min?, number max?) random numbers (default 1), as seeded from seed (default 1(?) any comments on whether the same seed should always give you the same random sequence?), between a minimum (default 0) and maximum (default 0). Or perhaps the min/max arguments should be before the seed? Which is most likely to be defaulted? In case one always wants to get a complete sequence, without trying to continue it afterwards, $seed is never going to be remembered and passed to a continuation call. In this case $seed will always be defaulted. as the next seed, will be probably rare. I suspect that the most common use will be sorting a node set into random order. I think that the simplest way of doing this with <xsl:for-each select="$node-set">

76. Mathematical Constants — Sage Reference Manual V4.5.3 The following standard mathematical constants are defined in Sage, along with support for coercing them into GAP, GP/PARI, KASH, Maxima, Mathematica, Maple, http://www.sagemath.org/doc/reference/sage/symbolic/constants.html

Navigation index modules next previous ... Constants Mathematical constants The following standard mathematical constants are defined in Sage, along with support for coercing them into GAP, GP/PARI, KASH, Maxima, Mathematica, Maple, Octave, and Singular: sage: pi pi sage: e # base of the natural logarithm e sage: NaN # Not a number NaN sage: sage: # natural logarithm of the real number 2 sage: sage: catalan # the Catalan constant catalan sage: khinchin khinchin sage: twinprime twinprime sage: mertens mertens sage: brun brun Support for coercion into the various systems means that if, e.g., you want to create sage: maxima pi %pi sage: singular pi pi sage: gap pi pi sage: gp pi 3.141592653589793238462643383 # 32-bit 3.1415926535897932384626433832795028842 # 64-bit sage: pari pi sage: kash pi # optional sage: mathematica pi # optional Pi sage: maple pi # optional Pi sage: octave pi # optional Arithmetic operations with constants also yield constants, which can be coerced into other systems or evaluated. sage: a pi e a pi + 4/5*e sage: maxima a %pi+4*%e/5 sage: RealField a # 15 *bits* of precision sage: gp a 5.316218116357029426750873360 # 32-bit

77. Javascript (JS) Tutorial - Math Contant PI, Logarithm, Eulers Method LN10;, Math.LN10 returns the constant value of natural logarithm to the base 10. PI;, Math.PI returns the value of constant PI. SQRT1_2, Math. http://www.hscripts.com/tutorials/javascript/math-constant.php

78. Constant Ln(3) | Series Math Study Mar 17, 2009 Cheat Sheet Math Constants Math Societies and Journals around is used to compute the constant ln(3) to billions of decimal places. http://www.seriesmathstudy.com/sms/log3

79. The Constant Math Problem: How Do Students Learn Best? | OregonLive.com Jan 11, 2009 Beaverton s debate over different approaches is giving Oregon a richer conversation http://www.oregonlive.com/news/index.ssf/2009/01/the_constant_math_problem_how.h

80. The Language Of Algebra - Definitions - In Depth In fact, algebra is a simple language, used to create mathematical models of realworld In the expression 7x2 + 3xy + 8 the constant term is 8. http://www.math.com/school/subject2/lessons/S2U1L1DP.html

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