81. [math/0209070] Criteria For Irrationality Of Euler's Constant Euler s constant. Authors Jonathan Sondow Comments 12 pages, 1 figure, 2 tables, proofs shortened typos fixed, revised version accepted by Proc. Amer. math. http://arxiv.org/abs/math/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

82. [math/9903101] Constant Mean Curvature Surfaces With Three Ends From John M Sullivan jms@math.uiuc.edu Date Wed, 17 Mar 1999 050343 GMT (45kb) constant mean curvature surfaces with three ends. http://arxiv.org/abs/math.DG/9903101

Mathematics, abstract math.DG/9903101 From: John M Sullivan [ view email ] Date: Wed, 17 Mar 1999 05:03:43 GMT (45kb) Constant mean curvature surfaces with three ends Authors: Karsten Grosse-Brauckmann Robert B. Kusner John M. Sullivan Comments: LaTex, 4 pages, 1 postscript figure Subj-class: Differential Geometry MSC-class: 53A10 (Primary), 49Q10 (Secondary) We announce the classification of complete, almost embedded surfaces of constant mean curvature, with three ends and genus zero: they are classified by triples of points on the sphere whose distances are the asymptotic necksizes of the three ends. 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 find abs

83. LibTomMath - News The constant 128 should be 144 (~4096bits) and the constant 192 in main() should be 144 too. The current test will still give you http://math.libtomcrypt.org/

LibTomCrypt LibTomMath LibTomPoly LibTomNet ... Download Welcome Welcome to the LibTomMath website. On this side of libtomcrypt.org I will be hosting the number theoretic multiple-precision integer library LibTomMath. LibTomMath provides highly optimized and portable routines for a vast majority of integer based number theoretic applications (including public key cryptography). LibTomMath is not a cryptographic toolkit itself but it can be used to write one [ Used in LibTomCrypt for RSA, DH and ECC public key routines A list of users of both libraries is available also Apr 23rd, 2004 . Released a set of makefile patches for LTM 0.30 (for BCC/MSVC/cygwin_dll). No critical fixes. Apr 11th, 2004 . Release of LTM 0.30, fixed bugs, added several new functions. Feb 21st, 2004 . Posted a series of patches that bring v0.29 upto my current code base. No critical fixes. Jan 25th, 2004 . Bug fixes, added EEA. Release of v0.29 Jan 11th, 2004 . I forgot to announce LibTomPoly when I released it. LTP is a polynomial basis library using LTM. Dec 24th, 2003

84. Most Frequently Linked Pages In The MathSearch Index mathSoft constants, www.mathsoft.com/asolve/constant/constant.html. Princeton University mathematics Department, www.math.princeton.edu/. http://www.maths.usyd.edu.au:8000/MS-freq-link.html

Most frequently linked pages in the MathSearch index As the the MathSearch index is compiled, the robot which generates it keeps count of off-domain cross-links, that is, how many times a given indexed page is referred to by a link in an indexed page on a server in a different domain. The pages with the most links leading to them are those most frequently recommended by the authors of all the pages in the index, excluding recommendations by authors and local colleagues for their own pages. These most linked pages form a list of English-language reference pages on mathematics and statistics, which have been popularly selected by mathematicians and statisticians who author Web pages. Below is a list of the 60 most frequently linked pages in the index, each with its HTML title and its URL. Title URL AMS Website www.ams.org/ MathSciNet Home Page www.ams.org/mathscinet/ Mathematical Association of America: MAA Online www.maa.org/ Society for Industrial and Applied Mathematics www.siam.org/ MSRI Home Page www.msri.org/

85. Java 101: When a class requires a constant specified in another class, the first class must specify both the name of the second class and the constant name (as in math.PI http://www.javaworld.com/weblogs/java101/archives/000156.html

Static Imports Banish Constant Interfaces Advertisement: Support JavaWorld, click here! HOME FEATURED TUTORIALS COLUMNS FORUM ... JAVA BOOK INDEX JavaWorld Services Newsletters Special Offers ProductFinder Education Resources ... Autoboxing Treats Primitives Like Objects April 19, 2004 Static Imports Banish Constant Interfaces In Joshua Bloch's "Effective Java Programming Language Guide" (Addison-Wesley, ISBN: 0-201-31005-8), Joshua states that interfaces should only be used to declare types. They should not be used to only export constants which is what the following Directions interface accomplishes: Directions is an example of a constant interface : it consists solely of static final fields, where each field exports one constant. Why the prohibition against constant interfaces? The implementation of a constant interface causes implementation details (the constants) to leak into the class's exported API. (Check out Item 17 in Joshua's book to learn more about this problem.) Why do developers resort to constant interfaces? Constant interfaces are used to circumvent having to specify a class name along with the constant's name. When a class requires a constant specified in another class, the first class must specify both the name of the second class and the constant name (as in Math.PI

86. Some Number-theoretical Constants W. Feller and E. Tornier, Mengentheoretische Untersuchungen von Eigenschaften der Zahlenreihe, math. Ann. 107 (1933), 188232. Sarnak s constant 0.72365 or http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml

Some number-theoretical constants arising as products of rational functions of p over primes In September 1999, Pieter Moree asked me to help with high-precision calculations of some constants arising in various contexts in elementary and analytic number theory. PARI/GP running on a few 333 and 360MHz UltraSPARC-IIi(tm) CPUs soon made short work of them. We pushed the calculations to just beyond 1000 decimal digits. The basic reference for our method is P. Moree, Approximation of singular series and automata, to appear in Manuscripta Math. preprint available (DVI). Many of these constants appear with explanations and references on Steve Finch 's Favorite Mathematical Constants site (abbreviated FMC in what follows), and are cross-referenced to the corresponding pages there. We regard the constants as given in the form of an Euler-type product over rational terms f g with rational coefficients, where the degree of the polynomial g is at least 2 plus that of f , evaluated at all primes p , or sometimes at almost all primes (e.g. when one factor would vanish for p Products of terms of the shape f g are readily accommodated by moving the sign into f . What really counts for the computation, however, is the behavior of

87. TCAEP.co.uk: Welcome To TCAEP.co.uk Expanding reference resource for science, math and astronomy http://www.tcaep.co.uk/

Sponsored by the Institute of Physics New on TCAEP Download ... Source Printer Version Welcome to TCAEP.co.uk Science Constants Over alphabetically listed entries Equations Some entries Periodic Table Complete periodic table with info on each element Conversions Interactive conversion of over units Java Structurer Create your own interactive chemical compunds to find their systematic names SI Units Details on all the standard SI Units of measurement Maths Topics Explanations of the more common aspects of maths. Over links Numbers Algebra All the common algebraic identities, including complex numbers Trigonometry Identities Calculus Integral and differential functions Symbols Greek alphabet, electronic symbols and mathematical symbols Astronomy Planets Details on all the currently known planets and their satellites Constellations Table of constellations with info on stars Times for 231 locations around the world Moon Phases Tables of moon phases for the next 20 years I am pleased to announce that TCAEP.co.uk has found a sponsor. The Institute of Physics has agreed to house the site and will ensure it is made available on their servers to all users on a more reliable basis.

88. SCI.SPACE FAQ No. 04 - Space/math SPACE/math Constants and Equations for Calculations. Last-modified $Date 94/03/01 172439 $. CONSTANTS AND EQUATIONS FOR CALCULATIONS. http://www.ksc.nasa.gov/facts/faq04.html

SPACE/MATH - Constants and Equations for Calculations Last-modified: $Date: 94/03/01 17:24:39 $ CONSTANTS AND EQUATIONS FOR CALCULATIONS This list was originally compiled by Dale Greer. Additions would be appreciated. Numbers in parentheses are approximations that will serve for most blue-skying purposes. Unix systems provide the 'units' program, useful in converting between different systems (metric/English, CGS/MKS etc.) NUMBERS 7726 m/s (8000) Earth orbital velocity at 300 km altitude 3075 m/s (3000) Earth orbital velocity at 35786 km (geosync) 6371 km (6400) Mean radius of Earth 6378 km (6400) Equatorial radius of Earth 1738 km (1700) Mean radius of Moon 5.974e24 kg (6e24) Mass of Earth 7.348e22 kg (7e22) Mass of Moon 1.989e30 kg (2e30) Mass of Sun 3.986e14 m^3/s^2 (4e14) Gravitational constant times mass of Earth 4.903e12 m^3/s^2 (5e12) Gravitational constant times mass of Moon 1.327e20 m^3/s^2 (13e19) Gravitational constant times mass of Sun 384401 km ( 4e5) Mean Earth-Moon distance 1.496e11 m (15e10) Mean Earth-Sun distance (Astronomical Unit)

89. Mathsoft: Number Theory Constants Approximation of Functions. Discrete Structures. Functional Iteration. Complex Analysis. Geometry Constants. Engineering Standards. Engineering Links. math Resources. http://www.mathsoft.com/mathresources/constants/numbertheory/0,,0,00.html

search site map about us  + news  + ... Well-known Constants Number Theory Constants Analytic Inequalities Approximation of Functions Discrete Structures Functional Iteration ... Math Resources These mathematical essays have been written and revised over the past seven years by Steven Finch. Hardy-Littlewood Constants Meissel-Mertens Constants Euler Gamma Function Constants Landau-Ramanujan Constant ... contact us

90. Constant Perimeter And Area Rectangles constant Perimeter and constant Area Rectangles. Disclaimer Depending on your computer and your web connection, loading the Java animations on this page can be s..l..o..w. be used to construct http://www.edc.org/LTT/ConnGeo/CP.html

Constant Perimeter and Constant Area Rectangles The interactive Java animations below accompany the article "Theorems in Motion: Using Dynamic Geometry to Gain Fresh Insights" by Daniel Scher in the April 1996 issue of the Mathematics Teacher . The article shows how dynamic geometry software can be used to construct constant perimeter and constant area rectangles . We define these terms as follows: constant perimeter rectangle: a rectangle whose dimensions can change but perimeter remains fixed. constant area rectangle: a rectangle whose dimensions can change but area remains fixed. A Constant Perimeter Rectangle The interactive picture below shows a point that divides a fixed length into a red and a blue segment. Use your mouse to click on the red point and move it back and forth along along the red/blue segment. You'll notice that the length and width of the accompanying rectangle adjust themselves to remain equal to the red and blue segments. Since the sum of the red and blue segments is constant, the perimeter of the rectangle is also constant. Constant Area Rectangles The interactive picture below shows a circle along with a chord composed of a red and a blue segment. Use your mouse to click on the red endpoint of the chord and move it around the circumference of the circle. You'll notice that the chord pivots around the fixed red point within the circle. The power-of-a-point theorem tells us that the product of the red and blue segments remains constant as the chord pivots.

91. Mathsoft Constants - Mathcad Library Wellknown constants. constants associated with Functional Iteration. Gauss lemniscate constant. constants associated with Geometry. http://www.mathcad.com/library/Constants/

by Steven Finch Mathsoft C onstants listed below are organized by area within mathematics. Here is an accessible overview of the subject. If you have questions about physical constants , please visit the National Institute of Standards and Technology instead. The pages are created with Mathcad 11 . Equations are displayed as images, and mathematical content is stored as MathML, so the files can be read back into Mathcad 11 for further calculation and experimentation. Well-known constants Pythagoras' constant Golden mean f Natural logarithmic base , e Archimedes' constant p Euler-Mascheroni constant g Apéry's constant z(3) Catalan's constant , G Feigenbaum constants Madelung's constant Constants associated with Number Theory Glaisher-Kinkelin constant Brun's constant Constants associated with Analytic Inequalities Wirtinger-Sobolev isoperimetric constants Constants associated with the Approximation of Functions Wilbraham-Gibbs constant Laplace limit constant Constants associated with Discrete Structures Golomb-Dickman constant Otter's tree enumeration constants Constants associated with Functional Iteration Gauss' lemniscate constant Constants associated with Geometry Geometric probability constants Moving sofa constant Awards and Relevant Links A document from the Mathcad Library Open files with Mathcad to work with the calculations.

92. Constants The Higgs has not yet been seen at least not with any certainty - but of the 26 fundamental constants of nature, 22 baez@math.ucr.edu © 2000 John Baez. home. http://math.ucr.edu/home/baez/constants.html

How Many Fundamental Constants Are There? John Baez June 15, 2002 You might at first think that the speed of light, Planck's constant and Newton's gravitational constant are great examples of fundamental physical constants. But in fundamental physics, these constants are so important that lots of people use units where they all equal 1! The point is that can choose units of length, time and mass however we want. That's three independent choices, so with a little luck we can use them to get our favorite three constants to equal 1. Planck was the first to notice this, so these units are called "Planck units". Planck units are great for quantum gravity. They are not so convenient for other purposes, however. The Planck length, for example, is ridiculously small: about 2 x 10 meters. The Planck time looks even worse: about 5 x 10 seconds. The Planck mass is 2 x 10 kilograms. In ordinary life, and even in nuclear physics, Planck units can be a real nuisance. But in the grand scheme of things, units are not very important. They are arbitrary human conventions. As long as you stick with some choice or other you will do okay.

93. Experimental Mathematics: Table Of Contents: Volume 8 Postscript) New Representations for the Madelung constant Richard E. Crandall Abstract in Postscript or DVI Full text (Postscript) http://www.expmath.org/expmath/volumes/8/8.html

Home Table of Contents / Volume 8 Subscription Information Submission Guidelines Articles Editorial Board For subscription or editorial inquiries, please contact us by email , telephone, or mail. A K Peters, Ltd. 888 Worcester Street Suite 230 Wellesley, MA 02482 Tel: 781.416.2888 or 800.450.2210 Fax: 781.416.2889 http://www.akpeters.com/ Are characters missing or replaced by rectangles? Experimental Mathematics Volume 8 (1999) Next Volume All Volumes Previous Volume Volume 8, issue 1 Singular Separatrix Splitting and the Melnikov Method: An Experimental Study Amadeu Delshams Abstract in Postscript or DVI Full text (Postscript) The Topology of the Relative Character Varieties of a Quadruply-Punctured Sphere Robert L. Benedetto William M. Goldman Abstract in Postscript or DVI Full text (Postscript) Alain Joets Roland Ribotta Abstract in Postscript or DVI Full text (Postscript) Spectral Properties of High Contrast Band-Gap Materials and Operators on Graphs Peter Kuchment Leonid A. Kunyansky

94. EquationSheet.com - Create A Personal Equation Sheet From A Large Database Of Sc Create a personal Equation Sheet from a large database of science and math equations including constants, symbols, and SI units. http://www.equationsheet.com/

Equations Constants SI Units Symbols ... Software search for in Equation Description Equation LaTeX String Constant Description Constant Symbol Constant Value SI Unit Quantity SI Unit Name SI Unit Symbol SI Unit Equivalent Units Symbol Description ALL Use or for wildcard character, or to match any single character Welcome Guest MyEquationSheet Sign In Register Equations Algebra Addition/Subtraction Division/Multiplication Exponents/Powers ... Trigonometric Properties ADVERTISEMENTS AFFILIATED WITH Terms of Service

95. ON-LINE MATHEMATICS DICTIONARY cissoid A curve with equation y 2 (ax)=x 3 . coefficient The constant multipliers of the indeterminate variable in a polynomial. http://pax.st.usm.edu/cmi/inform_html/glossary.html

96. Cornell Theory Center Math And Science Gateway mathematical Constants The above three are from this page. Most of the rest of what s here is even more advanced. mathematics Software. This list of math http://www.tc.cornell.edu/Services/Edu/MathSciGateway/math.asp

Cornell Theory Center Math and Science Gateway Mathematics General Topics Geometry Fractals History of Mathematics ... Mathematics Software General Topics Ask Dr. Math Ask Dr. Math is a question and answer service for math students and their teachers. A searchable archive is available by level and topic, as well as summaries of Frequently Asked Questions (the Dr. Math FAQ). Calculus Help - A professor in the Department of Mathematics at the University of Hawaii, authored these notes to help students learn how to use, not just understand, the concepts of calculus. A total of fifteen topics are covered and include max-min problems, exponential growth, and the derivation of Kepler's second law. Flash Cards for Kids - This is an interactive flash card site. You can choose among addition, subtraction, multiplication, and division; simple or complicated problems; and how many digits the numbers will have. While this isn't exactly high school material, it's a nice site, so I'm including it anyway. Enjoy, and show it to your kid sister or brother! Graphics for the Calculus Classroom - This is a collection of graphical demonstrations developed for first year calculus, but suitable and interesting for high school students as well. From Douglas Arnold at Penn State.

97. The math.h header shall provide for the following constants. The values are of type double and are accurate within the precision of the double type. http://www.opengroup.org/onlinepubs/009695399/basedefs/math.h.html

The Open Group Base Specifications Issue 6 IEEE Std 1003.1, 2004 Edition NAME math.h - mathematical declarations SYNOPSIS DESCRIPTION CX Some of the functionality described on this reference page extends the ISO C standard. Applications shall define the appropriate feature test macro (see the System Interfaces volume of IEEE Std 1003.1-2001, Section 2.2, The Compilation Environment ) to enable the visibility of these symbols in this header. The header shall include definitions for at least the following types: A real-floating type at least as wide as float A real-floating type at least as wide as double , and at least as wide as If FLT_EVAL_METHOD equals 0, and shall be float and double , respectively; if FLT_EVAL_METHOD equals 1, they shall both be double ; if FLT_EVAL_METHOD equals 2, they shall both be long double ; for other values of FLT_EVAL_METHOD, they are otherwise implementation-defined. The header shall define the following macros, where real-floating indicates that the argument shall be an expression of real-floating type: int fpclassify(real-floating x); int isfinite(real-floating x); int isinf(real-floating x); int isnan(real-floating x); int isnormal(real-floating x); int signbit(real-floating x); int isgreater(real-floating x, real-floating y); int isgreaterequal(real-floating x, real-floating y); int isless(real-floating x, real-floating y); int islessequal(real-floating x, real-floating y); int islessgreater(real-floating x, real-floating y); int isunordered(real-floating x, real-floating y);

98. The MATH Signature The signature math specifies basic mathematical constants, the square root function, and trigonometric, hyperbolic, exponential, and logarithmic functions http://www.standardml.org/Basis/math.html

The Standard ML Basis Library The MATH signature Synopsis signature MATH structure Math MATH where type real = Real.real The signature MATH specifies basic mathematical constants, the square root function, and trigonometric, hyperbolic, exponential, and logarithmic functions based on a real type. The functions defined here have roughly the same semantics as their counterparts in ISO C's math.h The top-level structure Math provides these functions for the default real type Real.real In the functions below, unless specified otherwise, if any argument is a NaN, the return value is a NaN. In a list of rules specifying the behavior of a function in special cases, the first matching rule defines the semantics. Interface type real val pi real val e real val sqrt real real val sin real real val cos real real val tan real real val asin real real val acos real real val atan real real val real real real val exp real real val pow real real real val ln real real val real real val sinh real real val cosh real real val tanh real real Description val pi real The constant pi (3.141592653...).

99. Math On The Web: Mathematics By Topic USA) Data Powers of Ten; Egyptian fractions; Favorite mathematical Constants ; The Fibonacci Field Tables; Number World; PI; PI, again; Sci.math FAQ Sections http://www.ams.org/mathweb/mi-mathbytopic.html

Mathematics on the Web Materials Organized by Mathematical Topics AMS Website Math on the Web Mathematics by Topic Mathematics by Topic lists some topic keywords in the Table of Contents. In each section are links to electronic journals, preprints, Web sites and pages, databases and other pertinent material in the corresponding field. There is also a page of Materials Organized by Mathematical Subject Classification . This page was developed from that prepared at the University of Tennessee, Knoxville Math Archives Table of Contents Actuarial Mathematics Algebra Calculus Resources Cellular Automata ... Complex Variables See also Several Complex Variables Complexity and Complex Systems Computational Fluid Dynamics Computational Science ... Cryptology Differential Equations See Ordinary Differential Equations or Partial Differential Equations Dynamical Systems Fermat's Last Theorem Finite Elements See Numerical Analysis Fractals General Exposition General Relativity ... Wavelets Actuarial mathematics Department of Actuarial Mathematics and Statistics , Heriot-Watt University (UK) Balducci's Actuarial Home Page (Calgary, CA)

100. The MATH Signature The signature math specifies basic mathematical constants, the square root function, and trigonometric, hyperbolic, exponential and logarithmic functions based http://www.dina.dk/~sestoft/sml/math.html

The Standard ML Basis Library The MATH signature The signature MATH specifies basic mathematical constants, the square root function, and trigonometric, hyperbolic, exponential and logarithmic functions based on a real type. The functions defined here have roughly the same semantics as their counterparts in ISO C's math.h The top-level structure Math provides these functions for the default real type Real.real In the functions below, unless specified otherwise, if any argument is a NaN, the return value is a NaN. In a list of rules specifying the behavior of a function in special cases, the first matching rule defines the semantics. Synopsis signature MATH structure Math MATH Interface type real val pi real val e real val sqrt val sin val cos val tan val asin val acos val atan val val exp val pow val ln val val sinh val cosh val tanh Description type real pi denotes the constant pi (3.141592653...). e denotes the base of the natural logarithm e sqrt x returns the square root of x sqrt . If x sin x cos x tan x return the sine, cosine and tangent, respectively, of x , measured in radians. If

Page 5     81-100 of 105    Back | 1  | 2  | 3  | 4  | 5  | 6  | Next 20