 Occam Press  Peter Schorer
"The skeptical mathematician is invited to improve upon the current implementations of the 3x + 1 strategy...." In addition to the Collatz conjecture, Schorer offers a simple proof of Fermat's Last Theorem, articles on Occam's Razor and programming,
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 OC Optimization and Control (Front for the Mathematics ArXiv)  Univ. of California, Davis
Optimization and Control preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 OER Commons  Institute for the Study of Knowledge Management in Education
An open learning network for teachers and professors to access their colleagues' course materials, share their own, and collaborate. The Open Educational Resources site features tags, ratings, comments, reviews, and social networking functions, as well
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 Office for National Statistics  Government Statistical Service, United Kingdom
The United Kingdom agency that coordinates national statistics. Tables of key social, economic, and environmental data, press releases, catalogue of publications, articles, and a newsletter. Information about the British census, including articles in
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 Ohio Literacy Resource Center  Kent State University
The Ohio Literacy Resource Center provides support, training and resources for the people who work in and attend classes at adult and family literacy programs. The OLRC also works with GED graduates who are attending Kent State University. The site offers
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 Oliver Knill
Research, teaching, and media by this preceptor in Harvard's math department. Knill began in dynamical systems, tackling first ergodic and spectral theoretical questions, then probability theory and elementary number theory. This led to his "passion for
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 OMatrix  Harmonic Software, Inc.
An interactive analysis and visualization program for Windows. Provides extensive analysis and graphic capabilities, an integrated debugger, a profiler, a fullscreen editor and a matrixoriented interpreted language, with analysis functions in the following
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 On Deciding Whether a Surface is Parabolic or Hyperbolic [PDF]  Peter G. Doyle
An application of Rayleigh's method to the classical type problem for Riemann surfaces, which is really just the same random walk problem, only instead of walking around on an infinite graph the walker is diffusing around on a surface. The aim will be
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 Online Ag Advisor  Royal Bank of Canada
An interactive tool designed to assist farm managers in assessing the strength of their management position. Based on the techniques of Dr. David Kohl, this tool will analyze responses from several key areas and provide recommendations and benchmark analysis.
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 Online Gröbner Basis Calculations  Michael McGettrick, National University of Ireland
Enter generating polynomials for the ideal I to calculate its Gröbner basis, minimal Gröbner basis, or reduced Gröbner basis, which can be used for finding the solution to simultaneous polynomial equations and for determining the existence
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 Online journal publication: two views from the electronic trenches  Jonathan Borwein (CECM), Richard Smith (CPROST)
A report on the experiences of two sets of scholarly publications, the Canadian Mathematical Society and the Canadian Journal of Communication, during their adoption and deployment of new electronic media, drawing on the authors' firsthand experience
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 Online Ordering and Customer Service Center (AMS)  American Mathematical Society
The AMS Bookstore  a searchable catalog of over 2500 books, videos, journals, software and gift items from the AMS and participating publishers; also MathSciNet and TeX Resources; other special orders (featuring the MathDoc Document Delivery Service
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 On Randall Sundrum Model brane detuning and hyperspace drives  Doctor Paul Karl Hoiland
By invoking known constraints on Brane Models in general that follow current Standard Model requirements of Supersymmetry I will show that some of the more recent modification to the RandallSundrum Model do not actual predict the ability to exist off
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 Ontario Research Centre for Computer Algebra
ORCCA performs fundamental research and development in mathematical software, focusing on computer algebra. The Centre was founded in 1999 with the support of government and private sector sources. Faculty from the University of Waterloo and the University
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 On the Area of the Mandelbrot Set (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
One can upper bound this area by filling the area around the set by disks, or lower bound it by counting pixels; strangely, Stan Isaacs notes, these two methods do not seem to give the same answer. From the newsgroup alt.fractals.
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 On the Bass Note of a Schottky Group [PDF]  Peter G. Doyle
Using a classical method from physics called Rayleigh's cutting method, Doyle proves the conjecture of Phillips and Sarnak that there is a universal lower bound L2 > 0 for the lowest eigenvalue of the quotient manifold of a classical Schottky group,
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 On the Evolution of Islands  Doyle, Mallows, Orlitsky, Shepp
On islands and seas: an island is a maximal set of adjacent marked cells in a ring or row; a sea is a maximal set of adjacent unmarked cells. An inductive proof and a countingargument proof. A paper that appeared in the Israel Journal of Mathematics.
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 On the Puzzles with polyhedra and numbers  Jorge Rezende
Several articles in PDF format, with related links: one on a set of didactic puzzles published by the Portuguese Mathematical Society (SPM); "Jogos com poliedros e permutações", an article in Portuguese describing puzzles with polyhedra
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 Open Directory  Science: Math  Netscape
A comprehensive directory of math sites on the Web, listing links of mathematical interest by general topics, math topic, and site name.
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 Open Directory  Science:Math:Statistics  Netscape
A comprehensive directory of statistics sites on the Web, listing links of statistical interest by general topics, statistics topic, and site name.
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 Open Discrete Dynamic Programming Template (OpenDDPT)  Centi Riccardo
OpenDiscreteDynamicProgrammingTemplate : founds optimal constrainted parameters of a discrete controls with second order optimization template replacing Hessian with directional derivatives and backpropagation for digital filter (as neural network).
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 OpenFVM CFD solver
OpenFVM is a general CFD solver released under the GPL license. It was
developed to simulate the flow in complex 3D geometries. Therefore, the
mesh can be unstructured and contain control volumes with arbritrary shape.
The code uses the finite volume
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 OpenMath
A language for communicating mathematical data between computer programs. Its purpose is to enhance different programs capable of handling mathematical data, such as symbolic algebra packages, typesetters, Web browsers, and the like, by providing a basis
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 OpenMath  The OpenMath Society
An extensible standard for representing mathematical objects with their semantics, allowing them to be exchanged between computer programs, stored in databases, or published on the web. Intended for those working with mathematics on computers, for those
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 OPenn  University of Pennsylvania Libraries
Highresolution archival images of manuscripts from the University of Pennsylvania Libraries and other institutions, along with machinereadable descriptions and technical metadata. Digitized cultural heritage materials on mathematics include "Treatise
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 Open Problem Garden  Matt DeVos and Robert Šámal
A collection of unsolved problems  mainly, graph theory, combinatorics, and number theory. A wiki for each open problem includes relevant bibliographical citations, importance rating, and recommendation for undergraduates. Navigate by math subject,
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 Open Problems in Dynamical Systems & Ergodic Theory  Sergiy Kolyada
This collection of problems originated in the Katsiveli2000 Open Problems Session (Chairman  Benjamin Weiss). New problems are being added. Copies of the page are also at http://iml.univmrs.fr:80/~kolyada/opds/ and http://www.math.iupui.edu/~mmisiure/open/.
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 Open Problems  Jeff Erickson
Open problems, mostly in geometry, including folding, combinatorial, and algorithmic problems. Contents include: Existence Problems: Does Object X exist?
Combinatorial Problems: How complex is Object X? Algorithmic Problems: How fast can Problem X be
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 Open Problems (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on open problems in geometry: antipodes; bounded degree triangulation; centers of maximum matchings; chromatic number of the plane; combinatorial complexity of spheres; covering points by rectangles; cube
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 Open Source Mathematics  David Joyner
An index of open source math software, texts, and papers.
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 OpenStat4 (OS4)  Bill Miller
A statistics package offering descriptive statistics such as central tendency and variability indexes, xy plots, and frequency distributions; Pearson productmoment correlations and partial correlations; analyses of variance including 1, 2 and 3way
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 Opera Mathematica  Elsevier BV
François Viète's collected works, digitized by Elsevier, show how mathematicians used their books in the past: by writing directly on them as they worked through their questions. Viète, an innovator in the standardization of algebra,
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 Operational Research Society
Operational Research (OR) or Operations Research or Management Science (OR/MS) looks at an organisation's operations and uses mathematical or computer models, or other analytical approaches, to find better ways of doing them. The OR Society, with members
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 The Operational Research Society  the Operational Research Society
The Operational Research Society, with members in many countries, provides training, conferences, publications and information to those working in Operational Research. Shop for books, training courses, conferences and one day events; learn about OR (publicity
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 Operations Research Society of the Philippines
Activities, officers and members, the ORSPCorps, and links to related OR sites.
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 Operator Algebra Resources  N. Christopher Phillips
Lists of some resources useful to mathematicians working in the subject of operator algebras. General operator algebra sites and publications, information on regular series of conferences, and some important general mathematical resources.
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 OpsResearch  DRA Systems
A collection of Java classes for developing operations research programs and other mathematical applications. The site includes documentation and tutorials, and software download is free. Also features a bookstore and related links.
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 Optimization Links  Tom Cavalier; Industrial and Manufacturing Engineering, Penn State Univ.
Links to online information on various aspects of optimization; interactive guides/case studies; optimization software/test problems; and other sites. Also general operations research sites; OR/Optimization people. Location/Routing/ Conference Information;
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 Optimization Technology Center  Argonne National Laboratory and Northwestern University
A research center dedicated to optimization problems. The "optimization tree," with descriptions of the different subfields of numerical optimization; interactive demonstrations and case studies, including the diet problem and minimum surface area; linear
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 Optimizer for Anyshape  SAMTEC
A professional profile nesting software package designed to maximize the use of material by generating most optimized nested layouts. It is a powerful true profile nesting software for gas/plasma/oxyfuel/laser cutting that will automatically optimize
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 Optimizer Suite  SAMTEC
A professional rectangular nesting software package designed to maximize the use of material by generating most optimized nested layouts. It is based on a highly advanced cutting algorithm, specially designed to optimize the cutting layouts in shearing,
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 OptNet  Michael Jünger; SIGOPT, Deutsche Mathematiker Vereinigung (DMV)
An electronic forum for the optimization community organized by SIGOPT under the auspices of the Deutsche Mathematiker Vereinigung (DMV). The basic services are a weekly digest containing a moderated list of contributions, a unique email address and
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 Order  Kluwer Online
A journal on the theory of ordered sets and its applications. Order occurs throughout mathematics and especially in algebra, combinatorics, geometry, model theory, set theory and topology.
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 Ordinary Differential Equations Project  Blanchard, Devaney, Hall; Boston University
This project included the development of a textbook (publisher Brooks/Cole Publishing Co.) as well as various workshops on teaching differential equations. Instructors manuals and selected articles are available from this site: "Teaching Differential
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 The Organic Mathematics Project  Centre for Experimental and Constructive Mathematics (CECM)
A collaborative research project involving a number of researchers at the Centre for Experimental and Constructive Mathematics (CECM). Involves in part the development of WWWbased and Mapleassisted tools for document annotation and math activation.
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 Organic Mathematics Workshop: The Proceedings  Borwein, Borwein, Corless, Jörgenson, Sinclair, eds.
Proceedings of a 1996 workshop held at Simon Fraser University, Vancouver, Canada. Speakers (top experimental and computational mathematicians); their articles, with equations, code, photos, videos, and annotations; and related resources and links. Invited
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 Organisation des nombres premiers  Mustapha Chouar
Une répartition des nombres premiers qui utilse la fonction 1+4+2 avec une représentation graphique de l'addition des carrés et une spirale.
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 Origami (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on the Japanese art of paper folding, obviously geometrical in nature. Some origami masters have looked at constructing geometric figures such as regular polyhedra from paper. In the other
direction, some
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 ORLibrary  J. E. Beasley; Imperial College of Science, Medicine and Technology
A collection of test data sets for a variety of Operations Research (OR) problems, available via emailing to o.rlibrary@ic.ac.uk a message containing the name of the required file, or via FTP/WWW using the links provided. Also at http://mscmga.ms.ic.ac.uk/info.html.
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 OR/MS Today
Online version of the magazine for members of the Institute for Operations Research and the Management Sciences (INFORMS). Current and previous issues, with full text of many articles; subscription information; software surveys; classified ads and list
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