61. Number Patterns, Curves & Topology Investigating Patterns, Number Patterns Fun with Curves topology. TOPIC LINKS. http://ccins.camosun.bc.ca/~jbritton/jbfunpatt.htm

Investigating Patterns Number Patterns Fun with Curves TOPIC LINKS TOPIC 1 (Prime Numbers / Magic Squares) Title: Sieve of Eratosthenes Comment: A natural number is prime if it has exactly two positive divisors, 1 and itself. Eratosthenes of Cyrene (276-194 BC) conceived a method of identifying prime numbers by sieving them from the natural numbers. Web page uses the sieve to find all primes less than 50. Includes a link to a Sieve of Eratosthenes Applet which also begins with a size or upper boundary of 50. Eratosthenes' Sieve contains a similar applet preset to find all primes less than 200. Both applets require a JAVA-capable browser. Title: Prime Number List Comment: Once you have entered the lower bound and upper bound, this javascript applet will display all prime numbers within the selected range. Another Prime Number List will generate prime numbers until you click Stop or until your computer runs out of memory. Title: Prime Factorization Machine Comment: A positive integer (natural number) is either prime or a product of primes. This applet decomposes any positive integer less than 1,000,000 into its prime factors. The bigger the number, the longer it will take. Requires a JAVA-capable browser. Title: Comment: Includes a link to Mini-Lessons demonstrating how to find the Common Divisor Factor (GCF) or Greatest Common Divisor (GCD) and the Least Common Multiple (LCM) of two or more natural numbers using prime factorization. Features an interactive applet with detailed explanations and solutions.

62. Topology Course Lecture Notes By Aisling McCluskey And Brian McMaster By Aisling McCluskey and Brian McMaster. HTML with symbol fonts, DVI and PostScript. http://at.yorku.ca/i/a/a/b/23.htm

Topology Atlas Document # iaab-23 Topology Course Lecture Notes Aisling McCluskey and Brian McMaster Chapter 1: Fundamental Concepts Describing Topological Spaces; Closed sets and Closure; Continuity and Homeomorphism; Additional Observations. Chapter 2: Topological Properties Compactness; Other Covering Conditions; Connectedness; Separability. Chapter 3: Convergence The Failure of Sequences; Nets - A Kind of `Super-Sequence'; First Countable Spaces - Where Sequences Suffice. Chapter 4: Product Spaces Constructing Products; Products and Topological Properties. Chapter 5: Separation Axioms T Spaces; T (Hausdorff) Spaces; T Spaces; T Spaces; T Spaces. Complete text (in HTML) (158 Kb) AtlasImage version (with images; for online previewing) DVI file (52 pages, 140 Kb) PostScript file (52 pages, 376 Kb) gzipped PostScript file (142 Kb) Please use the Topology QA Board to ask for help with these notes, or on any other subjects in topology that you are studying. Date Received: August, 1997 Topology Atlas

63. The Geometry Junkyard: Geometric Topology The Geometry Junkyard. Geometric topology. This area bottles. ConstructingBoy s surface out of paper and tape. Crystallographic topology. C http://www.ics.uci.edu/~eppstein/junkyard/topo.html

Geometric Topology This area of mathematics is about the assignment of geometric structures to topological spaces, so that they "look like" geometric spaces. For instance, compact two dimensional surfaces can have a local geometry based on the sphere (the sphere itself, and the projective plane), based on the Euclidean plane (the torus and the Klein bottle), or based on the hyperbolic plane (all other surfaces). Similar questions in three dimensions have more complicated answers; Thurston showed that there are eight possible geometries, and conjectured that all 3-manifolds can be split into pieces having these geometries. Computer solution of these questions by programs like SnapPea has proved very useful in the study of knot theory and other topological problems. Acme Klein Bottle . A topologist's delight, handcrafted in glass. Algebraic surface advent calendar 2002 Algebraic surface models . Oliver Labs makes models of algebraic geometry examples using a 3d printer. Are most manifolds hyperbolic? From Dave Rusin's known math pages. Boy's surface , visualized with Mathematica and GeomView by Amy Hawthorne and Jenny Posson-Brown. See also the

64. Jose Ferreira Alves' WWW Page Xth Oporto Meeting. Oporto, Portugal; 2024 September 2001. http://www.fc.up.pt/mp/actividades/om.html

Please wait a moment to be transferred to the new URL http://www.math.ist.utl.pt/~jmourao/om/omxii

65. Topology And Geometry Jeff Weeks . topology and Geometry Software. has moved. Please updateyour bookmarks to. http//www.geometrygames.org. (Note The Software http://humber.northnet.org/weeks/

Jeff Weeks' Topology and Geometry Software has moved. Please update your bookmarks to http://www.geometrygames.org (Note: The Software and Resources Page for The Shape of Space 2nd ed. has moved to http://www.geometrygames.org/SoS

66. What Is Topology? - A Word Definition From The Webopedia Computer Dictionary This page describes the term topology and lists other pages on the Webwhere you can find additional information. internet.com, topology http://www.webopedia.com/TERM/t/topology.html

You are in the: Small Business Channel Jump to Website ECommerce Guide Small Business Computing Webopedia WinPlanet Enter a word for a definition... ...or choose a computer category. choose one... All Categories Communications Computer Industry Companies Computer Science Data Graphics Hardware Internet and Online Services Mobile Computing Multimedia Networks Open Source Operating Systems Programming Software Standards Types of Computers Wireless Computing World Wide Web Home Term of the Day New Terms New Links ... Be a Commerce Partner topology Last modified: Monday, August 05, 2002 The shape of a local-area network (LAN) or other communications system. Topologies are either physical or logical There are four principal topologies used in LANs. bus topology: All devices are connected to a central cable, called the bus or backbone . Bus networks are relatively inexpensive and easy to install for small networks. Ethernet systems use a bus topology. ring topology All devices are connected to one another in the shape of a closed loop, so that each device is connected directly to two other devices, one on either side of it. Ring topologies are relatively expensive and difficult to install, but they offer high bandwidth and can span large distances. star topology: All devices are connected to a central hub . Star networks are relatively easy to install and manage, but bottlenecks can occur because all

67. Methods Of Functional Analysis And Topology Contents only from vol.1. http://www.imath.kiev.ua/~mfat/

68. Geometry And Topology Address Book Geometry and topology Address Book. This page was last modified on May 07,1997 Please report problems to cws@math.ufl.edu. Table of Contents. http://www.math.ufl.edu/math/abook-menu.html

Geometry and Topology Address Book This page was last modified on May 07, 1997 Please report problems to cws@math.ufl.edu. Table of Contents Additions and corrections Search the address book WAIS remarks FTP and mail servers ... List maintainers Additions and Corrections We are trying out an enhancement which should simplify email submission of addresses and corrections to the list maintainers. If you don't receive email confirmation from one of us, please resend your message to one of the list maintainers in the usual way. You must have a Web browser that supports HTML forms in order to use the next item. If you do not see text editing areas below then your browser does not support forms. Enter your message in the areas provided below. Be sure to fill out all of the fields and please, please specify your preferred versions of your name and email address in the message body since return addresses can be hard to decipher. Your Name Your Email Address Text: Click to submit your message. Click to clear your message and start over.

69. [gr-qc/9605010] Cosmic Topology General relativity does not allow one to specify the topology of space, leaving the possibility that space is multi rather than simply- connected. This paper reviews the mathematical properties of multi-connected spaces, and the different tools to classify them and to analyse their properties. http://fr.arxiv.org/abs/gr-qc/9605010

General Relativity and Quantum Cosmology, abstract gr-qc/9605010 From: [ view email ] Date: Mon, 06 May 1996 09:57:41 +0002 (300kb) Date (revised): Thu, 9 Jan 2003 16:32:59 GMT Cosmic Topology Authors: M. Lachieze-Rey J.P.Luminet (2) ((1) CE-Saclay/Service d'Astrophysique, (2) Observatoire de Meudon/DARC) Comments: 159 pages, LaTeX format, 32 figures available on request; v2 : all postscript figures added Journal-ref: Phys.Rept. 254 (1995) 135-214 Full-text: PostScript PDF , or Other formats References and citations for this submission: SLAC-SPIRES HEP (refers to , cited by , arXiv reformatted); CiteBase (autonomous citation navigation and analysis) Links to: arXiv gr-qc find abs

70. Algebraic Topology And Distributed Computing Powerpoint tutorials by Maurice Herlihy at Brown University. http://www.cs.brown.edu/people/mph/topology.html

Algebraic Topology and Distributed Computing Page PowerPoint Tutorial Distributed and concurrent systems Protocols read/write memory decidability

71. G6522: Topology Of Manifolds This is the web resource page for a course taught by John Morgan in Fall 1997 at Columbia University. http://www.math.columbia.edu/courses/archived/6522/

Topology of Manifolds Supersymmetry and QFT This is the web resource page for Topology of Manifolds, taught by John Morgan in Fall 1997 at Columbia University. Course notes, as well as problem sets and solutions will be posted here during the course of the semester. This course is based on lectures on Quantum Field Theory given at the Institute for Advanced Study at Princeton during the 1996-1997 academic year. Relevant resources from that lecture series are linked to here. You can also go directly to their web site New lectures at Santa Barbara There are many helpful lecture notes online from the ITP Miniprogram on Geometry and Duality, which took place in Santa Barbara in January 1998. There are also real audio files which allow you to hear the lectures! Problem Sets Problem Set 1, by Edward Witten (given at IAS) Source DVI Postscript Problem Set 2, by Edward Witten (given at IAS) Source DVI Postscript Problem Set 3, by Edward Witten (given at IAS) Source DVI Postscript Superhomework, by Edward Witten (given at IAS) Source DVI Postscript Addendum: Source DVI Postscript Solution Sets for Problem Set 1, by J. Morgan and G. Langmead

72. Topology Web Site topology Project. The research community, however, has not seen many systematic empiricalstudies of how the Internet topology evolves over time and in space. http://topology.eecs.umich.edu/

Topology Project The exponential growth of the number of Internet hosts has been well documented in the trade press. The research community, however, has not seen many systematic empirical studies of how the Internet topology evolves over time and in space. Most recently, the authors of [FFF99] report on several power-law relationships observed on Autonomous Systems' (AS) connectivity degree, degree frequencies, and the neighborhood size within any given hop count from an AS. This pioneering work represents a first important step toward a better understanding of the dynamic nature of Internet topology, a topic we explore further in this project. PIs: Ramesh Govindan Sugih Jamin Scott Shenker Walter Willinger Students: Hyunseok Chang Cheng Jin Hongsuda Tangmunarunkit Jared Winick ... Internal Archives (restricted access) Papers: Towards Capturing Representative AS-Level Internet Topologies Computer Networks Journal, Volume 44, Issue 6, pp 737-755, April, 2004. Internet Connectivity at the AS-level: An Optimization-Driven Modeling Approach in Proc. of ACM SIGCOMM Workshop on MoMeTools, 2003 ( extended version , Tech Report UM-CSE-475-03).

73. Quantum Field Theory, Quantum Topodynamics, Quantum Topology Includes links to research papers, quotations on the development of the quantum theory, brief notes on the field and related links. http://homestead.com/qft/

Quantum Field Theory Quantum Topology Diaa A Ahmed Research Interests Quantum Topodynamics, Quantum Topology, Topological Quantum Field Theory, M Theory, Quantum Supergravity Theory, Gauge Unification of Fundamental Interactions, Gauge Field Theory, Quantum Gravity, Quantum Consciousness, Quantum Computation. that physics in the form of energy-momentum and space-time coordinates lives and gets projected from that topological space which represents the arena in which physical interactions take place. In quantum theory we get an abstract mathematical image of that quantum space in the form of the complete Dirac bracket, This work in theoretical physics is concerned with developing the theory that incorporates both theory of relativity and quantum mechanics into a consistent mathematical theory. One way to achieve this is to extend the manifold of the theory of relativity into a quantum space through incorporation of the quantum dynamics into that functional space. Quantum topodynamics is the field theory that derives from the topology of the quantum space. Theory of the quantum space is founded on the theory of sets. Commutation relations factor the quantum set into

74. Inet Topology Generator Download Inet topology Generator. Inet, currently at version 3.0, is an AutonomousSystem (AS) level Internet topology generator. Our understanding http://topology.eecs.umich.edu/inet/

Inet Topology Generator Inet, currently at version 3.0, is an Autonomous System (AS) level Internet topology generator. Our understanding of the Internet topology is quickly evolving, and thus, our understanding of how synthetic topologies should be generated is changing too. Inet-3.0 improves upon Inet-2.2's two main weaknesses by creating topologies with more accurate degree distributions and minimum vertex covers as compared to Internet topologies. Inet-3.0 also better approximates the actual Internet AS topology than does Inet-2.2. Inet-3.0's topologies still do not well represent the Internet in terms of maximum clique size and clustering coefficient. These related problems stress a need for a better understanding of Internet connectivity and will be addressed in our future work. University of Michigan Technical Report CSE-TR-456-02 ( pdf or ps ) describes Inet-3.0. Inet-3.0 has been compiled on the following platforms: FreeBSD 4.X for i386 Linux Kernel 2.4.X for i386 Mac OS X 10.0.4 for PPC Solaris 5.X for UltraSparc

75. Hopf Topology Archive, Revised Version Algebraic topology and related areas. (~400 articles) http://hopf.math.purdue.edu/

Hopf Topology Archive Welcome to the Hopf Topology Archive! Hopf Author/Title Search: enter author or title keyword into box below. PaperSearch The Hopf Logos The Hopf Archive, month by month listing. CDROM of current Hopf Archive (April 4, 2002) (650MB ) This archive list is current through July. Newer files may be in the proper directories but not listed on the html list. These are accessible as http://hopf.math.purdue/AuthorName <- usually last names of authors. If you have a submission that has not been announced or posted and some time has elapsed, please email Mark and Clarence (but please try the "Reload" button on your browser first. Thanks, Clarence) Hopf has been upgraded to faster CPU and disk. Hope it helps the service. Also, HTTP uploading (http://hopf.math.purdue.edu/upload.php) has been added. Clarence What's New! Nishida Conference Pictures from Prof. V. Tsukiyama,Shimane U. Nishida Conference Pictures from Clarence Wilkerson Uploading Preprints Latest maintained by Mark Hovey. Back issues of Mark's What's New!

76. Protein Structure Initiative Large scale attempt to determine topology, through collaborative internet based effort, maintained by Millennium Information, Inc., Cambridge, MA. http://www.structuralgenomics.org/

77. Nathan Dunfield Harvard University. 3dimensional topology, geometry, and related topics. http://www.math.harvard.edu/~nathand/

Page Moved: Nathan Dunfield's home page has moved here.

78. Internet Demographics Directory - Statistics , Demographics And Research On Inte Directory of Internet demographics, user surveys, backbone/ISP reviews and Internet topology. Entries categorised and ranked. http://internet-demographics.netfirms.com/

This site is hosted by Netfirms Web Hosting Internet Demographics Directory home demographics statistics topology backbones ... contact Welcome to the Internet Demographics Directory - a purpose built (mini) web site for watching internet usage. We link to the most informative web sites containing demographic studies, reports, surveys and more. Each site is given a ranking value between 1 and 5. This is our review of the site based upon statistics reliability, ease of use and range of demographics covered. If you wish to submit your site to the Internet Demographics Directory, please see our contact page Today's Internet News Headlines (powered by moreover.com document.writeln( "" + "" + article[0].headline_text + "" + "" + "" + article[0].source + " " + article[0].harvest_time + "" + "" + article[1].headline_text + "" + "" + "" + article[1].source + " " + article[1].harvest_time + "" + "" + article[2].headline_text + "" + "" + "" + article[2].source + " " + article[2].harvest_time + "" + "" + article[3].headline_text + "" + "" + "" + article[3].source + " " + article[3].harvest_time + "" + "" + article[4].headline_text + "" + "" + "" + article[4].source + " " + article[4].harvest_time + "" );

79. EuroConference VBAC 2003 Vector Bundles on Algebraic Curves. Emphasis is on moduli spaces and topology. July 15, 2003 in Porto, Portugal. http://www.math.ist.utl.pt/~cfloren/VBAC2003.html

EuroConference VBAC Supported by the European Commission, High-Level Scientific Conferences, Contract no. HPCF-CT-2001-00248. 1-5 July, 2003 - Porto, Portugal Dedicated to Andrei N. Tyurin Final Report Topics The meeting will cover a range of topics in the area of Vector Bundles on Algebraic Curves with special emphasis on moduli spaces and topology. The workshop is intended expecially for young researchers, both as participants and speakers. We aim to have an informal and cooperative atmosphere and allow plenty of time for discussion. Invited Speakers Igor Artamkin (Steklov Math. Institute) Steven Bradlow (Urbana-Champaign). V. Balaji (Chennai Mathematical Institute) William Goldman (Maryland). Alexei Gorodentsev (ITEP, Moscow) Lisa Jeffrey (Toronto). Ludmil Katzarkov (UC Irvine). Frances Kirwan (Oxford). Viacheslav Nikulin (Liverpool) Miles Reid (Warwick). Michael Thaddeus (Columbia University) Nikolai Tyurin (Max-Plank Institute) Programme Programme: POSTSCRIPT version PDF version List of Talks and Abstracts (in PDF) Materials related to the Talks ... Full List of Participants Location The meeting will be held at the Universidade do Porto Here you can find how to reach the Department and a Local Map of the area.

80. 55: Algebraic Topology Algebraic topology is the study of algebraic objects attached to topological spaces;the algebraic invariants reflect some of the topological structure of the http://www.math.niu.edu/~rusin/known-math/index/55-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 55: Algebraic topology Introduction Algebraic topology is the study of algebraic objects attached to topological spaces; the algebraic invariants reflect some of the topological structure of the spaces. The use of these algebraic tools calls attention to some types of topological spaces which are well modeled by the algebra; fiber bundles and related spaces are included here, while complexes (CW-, simplicial-, ...) are treated in section 57. Finally, the use of the algebraic tools also calls attention to the aspects of a topological space which are well modeled by the algebra; this gives rise to homotopy theory. The algebraic tools used in topology include various (co)homology theories, homotopy groups, and groups of maps. These in turn have necessitated the development of more complex algebraic tools such as derived functors and spectral sequences; the machinery (mostly derived from homological algebra) is powerful if rather daunting. In all cases, the "naturality" of the construction implies that a map between spaces induces a map between the groups. Thus one can show that no maps of some sort can exist between two spaces (e.g. homeomorphisms) since no corresponding group homomorphisms can exists. That is, the groups and homomorphisms offer an algebraic "obstruction" to the existence of maps. Classic applications include the nonexistence of retractions of disks to their boundary and, as a consequence, the Brouwer Fixed-Point Theorem. (Obstruction theory is, more generally, the creation of algebraic invariants whose vanishing is necessary for the existence of certain topological maps. For example a function defined on a subspace Y of a space X defines an element of a homology group; that element is zero iff the function may be extended to all of X.)

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

Page 4     61-80 of 171    Back | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | Next 20