81. Swett, Research, Erdos-Strauss Conj The conjecture states that for any integer n 1 there are integers a, b, and c with 4/n = 1/a + 1/b + 1/c, a 0, b 0, c 0. The page establishes that the conjecture is true for all integers n, 1 n = 10^14. tables and software by Allan Swett. http://math.uindy.edu/swett/esc.htm

Allan Swett, Current Research on ESC... rev. 10/28/99 The Erdos-Strauss Conjecture 4/n = 1/a + 1/b + 1/c, (Note: Some of the linked pages are under revision.) Principal Ideas, Part 1: A C++ Program One may establish ESC(n) for a particular class of integers n using an identity. For example, the identity 4/(2+3x) = 1/(2+3x) + 1/(1+x) + 1/((1+x)(2+3x)) establishes that ESC(n) is true for n = 2, 5, 8, 11, 14, 17, ... (simply take x = 0, 1, 2, 3, 4, 5, ...). That is, ESC(n) is true for all positive integers n which are congruent to 2, mod 3. (Two integers are said to be "congruent mod n", if and only if n divides their difference. We abbreviate the fact that A and B are congruent mod n as A == B (mod n) .) A "generic" identity provides a set of similar results: Vocabulary: S(n) AX + W == (mod 4n-1) for some positive integer divisors X and W of n. Let E(n) denote the set of positive integers congruent, mod 4n-1, to an element of S(n). Then Theorem: Link to a proof of the Theorem.

82. CMS Publications 3 main titles, searchable indexes and tables of contents. http://www.cms.math.ca/Publications/

home about the CMS media releases search ... other societies CMS Publications Periodicals CJM CMB CRUX with MAYHEM ... Books PERIODICALS Canadian Journal of Mathematics About the CJM CJM On-line ... Institutional Online Agreement Canadian Mathematical Bulletin About the CMB CMB On-line ... Institutional Online Agreement Crux Mathematicorum with Mathematical Mayhem About CRUX with MAYHEM ... Institutional Online Agreement CMS Notes About the CMS Notes CMS Notes On-line ... Email addresses of Editors BOOK REVIEWS Book Reviews from the CMS Notes PUBLICATIONS CATALOGUE 2003 Publications Catalogue (PDF) BOOKS AND SERIES The CMS Books in Mathematics Series (new series published by Springer Editors CMS Tracts in Mathematics (a new series) Editors A T aste ... The CMS Advanced Book Series (published by Wiley The CMS Conference Proceedings Series (published by AMS) Information related to subscription, paper submission, editors and other publication details is available on the covers of each publication. Subscription Rates Information: publications@cms.math.ca comments? search for?

83. Teaching Tables - Making Learning Times Tables Fun times tables games, table games, multiplication games, tables, times, time, primary math games, primary maths games. Teaching tables http://www.teachingtables.co.uk/

times tables games, table games, multiplication games, tables, times, time, primary math games, primary maths games Teaching Tables is a certified Curriculum Online product and can be purchased using eLearning credits. INSTALL TEACHING TABLES AND USE OFFLINE IN FULL SCREEN OFFLINE APPLE MAC VERSIONS ARE NOW AVAILABLE Access resources instantly Generate millions of worksheets in a click Download and install (Home users only)(PC) (New - dedicated download server for increased speed and reliability) or Purchase Teaching Tables CD-ROM (PC) Multiplication Bingo Machine Supporting Resources About Bingo Machine 10 bingo cards 3 bingo cards 2 bingo cards ... Blank Cards A fun way for the class to practise their multiplication facts. Give each pupil a bingo card generated in the supporting resources section and set the bingo machine running. The bingo machine will display a multiplication question for a preset time. If a pupil has the answer on their card they must cross it off. The first pupil(s) to cross off all their numbers wins. Table Mountain About Select the table you wish to practise and then begin your ascent. If you manage to reach the top you can print out a certificate and view a report of your mistakes ( one player games only ). If you're feeling particularly brave you can take the Table Mountain Challenge but be careful a single mistake sends you right back to the bottom!

84. SevilleDriver Journal dedicated to the study of Santayana's life and work. Includes tables of contents, PDF files of many articles. http://www.math.uwaterloo.ca/~kerrlaws/Santayana/Bulletin/seville.html

Overheard in Seville: Bulletin of the Santayana Society Editor: Angus Kerr-Lawson Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1, Communications about papers on Santayana's life and works should be sent to Kerr-Lawson. E-mail address: kerrlaws@math.uwaterloo.ca Communications about Santayana bibliography, the Santayana Society, the Santayana Edition, or business matters, should be sent to: Kristine W. Frost Managing Editor, Santayana Edition School of Liberal Arts, IUPUI Cavanaugh Hall 207 425 University Blvd. Indianapolis, IN 46202-5140, E-mail address: kfrost@iupui.edu The Bulletin appears annually. It is formatted and composed for typesetting using Microsoft Word and PostScript, and printed by Graphics, University of Waterloo. It is published and distributed by Indiana University Purdue University Indianapolis. Papers are published dealing with all aspects of Santayana's philosophy, his literary works, or his life. There are regular progress reports on the Santayana Edition and updates to Santayana bibliography. Announcements concerning the Santayana Society and its annual meeting also appear in each number. Tables of Contents: 1983 - 2003 Certain of the texts of the articles beginning in 1993 are available through hyperlinks as shown below. More recent articles appear as Adobe Acrobat (.pdf) files

85. Aliquot Sequences Aliquot sequences arise in iterating the sumof-divisors function s. Bosma has calculated tables up to start value 50,000 and 80 digits. http://www.math.kun.nl/~bosma/research/nuth/ali.html

Aliquot sequences Aliquot sequences arise in iterating the sum-of-divisors function s, which assigns to a positive integer the sum of its proper divisors (i.e., excluding the number itself). An aliquot sequence thus starts with a positive integer n, followed by s(n), then s(s(n)), etc. The main open question in the area is given by the Catalan-Dickson conjecture, which states that for any starting value n one of two things happens: either the sequence ends in a cycle, or it reaches 1 after finitely many steps (and is said to terminate then). Cycles of length 1 come from perfect numbers: 6 = 1 + 2 + 3 = s(6), 28 = 1 + 2 + 4 + 7 + 14 = s(28), etc. Cycles of length 2 are also called amicable numbers: 220, s(220)=284, s(284)=220. Longer cycles are also called sociable numbers. Progress in numerical work to verify the Catalan-Dickson conjecture relies upon progress in integer factorization methods, as no better method is known for the determination of the divisors of a number than the obvious method using its prime factorization. I became interested in aliquot sequences while testing the integer factorization algorithms in Magma. I have listed some of the numerical work I have done. Several other people are involved in a big effort to push our knowledge for small starting values.

86. Noam D. Elkies Home Page Harvard. Number theory, algebraic geometry. Preprints, tables in computational number theory. http://abel.math.harvard.edu/~elkies/

Noam D. Elkies Professor, Department of Mathematics Harvard University E-Mail elkies@math.harvard.edu Work Address Department of Mathematics, Harvard University, Cambridge, MA 02138. Work Telephone fax Mathematics Music Chess links My Brandenburg Concerto #7 (no kidding!) will be premiered by the Metamorphosen Chamber Orchestra Saturday, September 27 at 8PM in Jordan Hall (New England Conservatory, near Symphony Hall). I'll speak at a pre-concert talk at 7:15. Here are my program notes. Please ignore these HTML tests. sample link #1 sample link #2 sample link #3(

87. Andrej Dujella Home Page University of Zagreb, Croatia. Page on Diophantine mtuples; tables of high-rank elliptic curves; Link to mathematical departments and number theory groups and seminars; Information for students on courses in number theory and cryptography. http://www.math.hr/~duje/

Andrej Dujella Associate Professor Department of Mathematics University of Zagreb Bijenicka cesta 30 Zagreb CROATIA Phone: (+385 1) 4605 780 Fax: (+385 1) 4680 335 Room: 301 E-mail: URL: http://www.math.hr/~duje/ Site Map Curriculum vitae Publication list (with papers in dvi format) Fields of interest: Diophantine equations (11D) Diophantine m -tuples, i.e. sets with the property that the product of any two of its distinct elements is one less than a square; Simultaneous Pellian equations; Thue equation Elliptic curves (11G05) Construction of high-rank elliptic curves; Integer points on families of elliptic curves Diophantine approximations (11J) Applications of Baker's theory and hypergeometric method; Continued fractions Fibonacci and Lucas numbers (11B39) Diophantine and divisibility properties of binary recursive sequences; Connections with Diophantine m -tuples Cryptography (94A60) Elliptic Curve Cryptography; Teaching Diophantine m-tuples page Elliptic curves tables: High rank elliptic curves with prescribed torsion Infinite families of elliptic curves with high rank and prescribed torsion History of elliptic curves rank records Undergraduate courses: Elementarna matematika 1 i 2 (Elementary Mathematics) Uvod u teoriju brojeva Introduction to Number Theory Rezultati kolokvija Kriptografija ... Skripta (Lecture Notes) (Student seminar - Elliptic curves and their applications in cryptography) (2002/2003) Mentorstva diplomskih radova Graduation Thesis Supervisorships Graduate courses: Teorija brojeva u kriptografiji Number Theory in Cryptography Elliptic Curves and Applications AK Zahlentheorie , TU Graz, March 2001)

88. High School Math B Regents Exam Review Mr. Hoffman s math Stuff Virtual math Manipulatives Online math Tools Free Scientific Calculator math Reference tables Algebra Algebra http://highschoolhub.org/hub/math.cfm

Math Guide Featured Sites Equivalent Fractions Game High School Math Problems Math A Regents Exam Review Math B Regents Exam Review ... Virtual Math Manipulatives Online Math Tools Free Scientific Calculator Math Reference Tables Algebra Algebra Tutorials - Mrs. Carlton High School Algebra Problems PurpleMath: Practical Algebra Lessons Geometry Exploring Circles High School Geometry Problems Polygons: Vocabulary Lesson The Pythagorean Theorem Trigonometry Dave's Short Trig Course High School Trigonometry Interactive Trigonometry Trigonometric Identities Calculus AP Calculus - Mrs. Roberts High School Calculus Problems Interactive Calculus Lessons Visual Calculus Tutorials ... Words Hub

89. Richard E. Borcherds (Berkeley Home Page) Berkeley. Quantum algebra and number theory. Preprints, lecture notes, tables of lattices and modular forms. Fields medallist, 1998. http://math.berkeley.edu/~reb/

Richard E. Borcherds, University of California Department of Mathematics , 970 Evans Hall #3840, Berkeley CA 94720-3840, USA. (510) 642 8464 Fax: (510) 642 8204 http://www.math.berkeley.edu/~reb My preprints papers and thesis Home pages for math 121B (Mathematical methods) and math 1A (Calculus) and Quantum field theory seminar and old courses Tables of positive definite lattices and coefficients of some Siegel modular forms. Talks by me on Moonshine or Hyperbolic reflection groups or vertex algebras or the Gross-Kohnen-Zagier theorem or formal group laws Author/Related Author Anywhere Title Class MR Number Ref Author Ref Anywhere Full search From German From French to German to French Dictionary Thesaurus Math depts: Countries A-F G-M N-Z USA ... Stanford Societies: AMS DMJ Fields IAS ... SMF People: Allcock Barnard Bourbaki Bruinier ... Taylor Papers: arXiv , hep-th new search ; math new search E-Print Uploads HEP ... Numdam Tables: elliptic curves ATLAS modular forms integers sequences ... Graph paper Moonshine: Helena Verrill's monster page and fundamental domain program . Cummins's monstrous moonshine page.

90. Tables Of Drinfeld Modules Complete tables of signnormalized, rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16. http://www.math.umass.edu/~dhayes/dmods.html

Tables of rank one Drinfeld modules Complete tables of sign-normalized, rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16 were computed by Dummit and Hayes ( Mathematics of Computation , 875-883) in 1994. These tables are available in two usable formats by anonymous ftp . The first format is designed for inclusion in TeX documents, and the second is designed to be read into Mathematica notebooks. See also D. Dummit, Genus two hyperelliptic Drinfeld modules over F2 , The Arithmetic of Function Fields, Proceedings of a Workshop at Ohio State University, June 17-26, 1991, de Gruyter, Berlin and New York, 1992, pp. 117-129.

91. Tablas Matemáticas De David Colecci³n de tablas y f³rmulas de la matem¡tica elemental. http://math2.org/math/es-tables.htm

English escoja idioma Tabla de Sumas Polinomiales Exponenciales Identidades ... Tablas Cabos Sueltos Constantes Vectores Complejidad Curvas ... Derivadas Asuntos Avanzados Serie de Fourier Transformadas ¡Ya puede David Manura

92. 3D Rhymin Times Tables offers an educational math software game to help children learn the multiplication tables with interactive problems, lessons, and homework videos. http://www.3d-rhymin-times.com

93. Algorithmic Number Theory: Tables And Links Compiled by Noam Elkies. http://www.math.harvard.edu/~elkies/compnt.html

Algorithmic (a.k.a. Computational) Number Theory : Tables, Links, etc. Tables of solutions and other information concerning Diophantine equations [equations where the variables are constrained to be integers or rational numbers]: Trinomials with unusual Galois groups ( x x x x x x x x +567, etc.) (Supporting computational data for Nils Bruin's theorem here Elliptic curves of large rank and small conductor arXiv preprint; joint work with Mark Watkins; to appear in the proceedings of ANTS-VI (2004)): Elliptic curves over Q of given rank r up to 11 of minimal conductor or discriminant known; these are new records for each r in [6,11]. We describe the search method tabulate the top 5 (bottom 5?) such curves we found for r in [5,11] for low conductor, and for r in [5,10] for low discriminant. Data and results concerning the elliptic curves ny =x -x arising in the ``congruent number'' problem: Transparencies for ANTS-V lecture, in PS and PDF added 7/2002 All for which the curve has analytic rank at least 3, listed and used; , under an additional conjecture;

94. TableTrainer Maths Multiplication Tables Educational Game Mathematics A math program designed to assist the learning of multiplication tables. http://www.arilon.com/

About TableTrainer TableTrainer is a maths educational program designed to assist in the task of learning multiplication tables. Maths "games" don't always hold children's interest for long. So rather than create a maths game, I designed something that could be used once a day for about 10 minutes. The logic being, that once they had used TableTrainer, they could then carry on with the more serious task of playing their latest video game. The program allows you to practice and test multiplication tables from 1 to 12. You can select which tables you practice or are tested on. The results for all tests are stored. The results page has a graph of all your tests so you can compare them. The results page also shows which calculations were wrong, so you can identify any problem areas.

95. Collapsed Adjacency Matrices, Character Tables And Ramanujan Graphs A database of character tables of endomorphism rings. http://www.math.rwth-aachen.de/~Ines.Hoehler/

Collapsed Adjacency Matrices, Character Tables and Ramanujan Graphs This is a database of character tables of endomorphism rings. Let G be a finite group, K a field and M a finite set on which G acts transitively. For a in M let M ,...,M r be the distinct orbits of G a , which have respective representatives a =a, a ,..., a r . Let E i i [k,l] be the collapsed adjacency matrix for the orbital digraph (M,E i ). Therefore A i is defined as the number of neighbours of a k in M l (see PrSoi for details). Let R denote the endomorphism ring End KG ,...,S k The entries of a column of the character table are the eigenvalues of the corresponding orbital digraph (see PrSoi for details). (see CePoTeTrVe for details). For rank up to 5 the collapsed adjacency matrices have been computed by Cheryl E. Praeger and Leonard H. Soicher (PrSoi) . Several matrices (also for larger rank cases) can be found in IvLiLuSaSoi , where numerous further references are given.) The following matrices originally have been published in: LLS : Fi with 2 .M Soi : Co with 2 .O IM : J with 2 .M Nor : M with 2.BM.

96. ACTA tables of contents. http://www.math.ac.vn/publications/acta/

Welcome to ACTA MATHEMATICA VIETNAMICA On-line The Acta Mathematica Vietnamica is a scientific publication published under the auspices of the Institute of Mathematics, NCST Vietnam . As a companion to our print publication, AMV On-line provides : Journal Information Editorial Board Current Issue Journal Contents ... Next Issue Future Contents Instructions for Authors Links to Other Websites

97. Math Science Center Tutorials, tips, and tables to help with general math and science concepts. Materials (texts, quizzes, worksheets, curriculum) from several math and science courses. Developed by math and science instructors at Southwest Wisconsin Technical College. http://www.swtc.edu:8082/mscenter/

Southwest Wisconsin Technical College Math Science Resource Center About the Site Contact Information Southwest Tech Web Site Resources Courses Topics Math Review Math Tips Applied Math ... General Math What's New Links Elementary Algebra Free Stuff Geometry ... Introductory Science About This Site top of page The Math/Science Resource Center is designed to organize much of the information that is traditionally presented by Math/Science Center Staff. The site is a compilation of materials. You will find printable tables of math and science related data such as a table of measurement conversions You will find printable step-by-step instructions for solving specific problems like making metric conversions. There are interactive tutorials, such as making recipe conversions, that are available to download. The tutorials provide a more comprehensive look at a given math or science application. There are also course materials for most of our Math and Science courses. Take a look. There is something useful for everyone. A great deal of the material on this site is stored as "pdf " files. Converting files to the PDF format is a very common method of making documents available online. This is the same format used by the IRS for putting tax forms online. You

98. Geometry Formulas And Facts An excerpt from the 30th Edition of the CRC Standard Mathematical tables and Formulas, covering the area of Geometry (minus differential geometry), by Silvio Levy. http://geom.math.uiuc.edu/docs/reference/CRC-formulas/

Next: Part I: Two-Dimensional Geometry Up: Geometry Reference Archives Geometry Formulas and Facts Silvio Levy This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas , published in late 1995 by CRC press This completely rewritten and updated edition of CRC's classical reference work is edited by Dan Zwillinger, and boasts the participation of dozens of distinguished contributors in all fields of mathematics. Ordering information is available here The present excerpt covers the area of Geometry (minus differential geometry). It was written by Silvio Levy and is reproduced here with permission. All the figures were made by the author using Mathematica , except those in Section , which were made using kali This online version was prepared with the help of Nikos Drakos's converter; for compatibility of text and formulas, choose a largish text font with your browser. A button in the text indicates a cross-reference. Part I: Two-Dimensional Geometry 1 Coordinate Systems in the Plane 1.1 Substitutions and Transformations 1.2 Cartesian Coordinates in the Plane ... 16 Quadrics Next: Part I: Two-Dimensional Geometry Up: Geometry Reference Archives The Geometry Center Home Page Silvio Levy Wed Oct 4 16:41:25 PDT 1995 This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas CRC Press ). Unauthorized duplication is forbidden.

99. Computational Number Theory - Tables And Computations Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms. http://www.math.utexas.edu/users/tornaria/cnt/

Computational Number Theory Tables and computations In this pages you will find browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms. This project is part of the computational component of the NSF award DMS 0200605, P/I Fernando Rodriguez Villegas Cremona's table of elliptic curves William Stein's table of weight 2 newforms Data about the central values of the L-series of (imaginary and real) quadratic twists of elliptic curves tornaria@math.utexas.edu Part of Computational Number Theory

100. Index Of /GAEL/math Index of /GAEL/math. May2003 1646 1k es-graphs.htm 23-May-2003 1646 1k es-integrals.htm 23-May-2003 1646 1k es-misc.htm 23-May-2003 1646 1k es-tables.htm 23 http://ftp.ist.utl.pt/GAEL/math/

Index of /GAEL/math Name Last modified Size Description ... Parent Directory 23-May-2003 16:46 - !back2.gif 23-May-2003 16:46 1k !back3.gif 23-May-2003 16:46 1k !backy.gif 23-May-2003 16:46 1k !redbar.gif 23-May-2003 16:46 1k 0-1.gif 23-May-2003 16:46 1k 0-a.gif 23-May-2003 16:46 1k 0-inf.gif 23-May-2003 16:46 1k 0-pi-2.gif 23-May-2003 16:46 1k 0-x.gif 23-May-2003 16:46 1k 1-inf.gif 23-May-2003 16:46 1k 1-x.gif 23-May-2003 16:46 1k 2-x.gif 23-May-2003 16:46 1k a-b.gif 23-May-2003 16:46 1k a-c.gif 23-May-2003 16:46 1k a-inf.gif 23-May-2003 16:46 1k a-x.gif 23-May-2003 16:46 1k advanced/ 23-May-2003 16:46 - algebra/ 23-May-2003 16:46 - alpha-s.gif 23-May-2003 16:46 1k aolbin/ 23-May-2003 16:46 - arrowl.gif

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