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  All Sites - 2064 items found, showing 1501 to 1550

  1. Primes and Composites (Math Chat) - Frank Morgan, MAA Online
    Answering the challenge: Consider the sequence of integers 10n + 1: 11, 101, 1001, ... Are there infinitely many primes? Infinitely many composite numbers? Whenever n is odd, 10n + 1 is divisible by 11. Modulo 11, 10n + 1 = (-1)n + 1 = 0 if n is odd, ...more>>

  2. A Prime Surprise - Ivars Peterson (MathTrek)
    Many of the 100 or so people who had helped with the nine-prime effort immediately signed up for the new quest and began checking numbers. To everyone's surprise, Manfred Toplic (the same!) set the new record, reporting on March 2 that he had found 10 ...more>>

  3. Prime Talent - Ivars Peterson (MathTrek)
    Whole numbers have all sorts of curious properties. Consider, for example, the integer 1998. It turns out that 1998 is equal to the sum of its digits plus the cubes of those digits (1 + 9 + 9 + 8 + 13 + 93 + 93 + 83). What's the largest number for which ...more>>

  4. Prime Theorem of the Century - Ivars Peterson (MathLand)
    "Prime numbers have always fascinated mathematicians," Underwood Dudley of DePauw University in Indiana wrote in a 1978 textbook. "They appear among the integers seemingly at random, and yet not quite: There seems to be some order or pattern, just a little ...more>>

  5. Prime Treasure Hunt - Ivars Peterson (MathTrek)
    The headline shouted, "Hacker accused of using U.S. West computers on math problem." The Associated Press news report, dated Sept. 15 [1998], went on to describe how computer consultant Aaron Blosser of Lakewood, Colo., had enlisted 2,585 computers at ...more>>

  6. Principia Cybernetica Web - Turchin, Joslyn, Heylighen, Bollen, eds.
    Principia Cybernetica Project (PCP) is an international organization that tries to tackle age-old philosophical questions with the help of the most recent cybernetic theories and technologies. The Project's aim is the computer-supported collaborative ...more>>

  7. Principia Mathematica - A.D.Irvine; Stanford Encyclopedia of Philosophy
    The philosophy encyclopedia's entry on Principia Mathematica, the landmark work on mathematical logic and the foundations of mathematics written by Alfred North Whitehead and Bertrand Russell. Next to Aristotle's Organon, it is the most influential book ...more>>

  8. Principles and Practice of Constraint Programming: Conferences - Department of Computing Science, Univ. of Alberta, B.C.
    Links to previous and future conferences concerned with all aspects of computing with constraints including: algorithms, applications, environments, languages, models, systems. Contributions are welcome from any discipline concerned with constraints, ...more>>

  9. PRISM (Parallel Research on Invariant Subspace Methods)
    A project the goal of which is to develop infrastructure and algorithms for the parallel solution of eigenvalue problems. PRISM is currently investigating a complete eigensolver based on the Invariant Subspace Decomposition Algorithm for dense symmetric ...more>>

  10. Prisoners of Time - U.S. Dept. of Education
    Report of the National Education Commission on Time and Learning, April 1994, established as an independent advisory body to study the relation between time and learning in American schools. "The degree to which today's American school is controlled by ...more>>

  11. Prized Geometric Logic - Ivars Peterson (MathTrek)
    Computer programs can handle all sorts of data [such as] a set of discrete elements, such as temperatures. Some elements of a set may be larger in value than others, or they may exhibit some other relationship that allows you to rank them or put them ...more>>

  12. Prize offered for solving number conundrum - Ivars Peterson - Science News Online
    A proof of a conjecture related to Fermat's last theorem would earn $50,000. ...more>>

  13. Prizes and Perils of Popularizing - Keith Devlin
    A series of vignettes abouut some of the leading popularizers of mathematics. Sections include: Casti's Tale; Devlin's Tale; Stewart's Tale; Paulos's Tale; Dunham's Tale; and Why Do We Do It? Previously published in Focus. ...more>>

  14. Probability Abstract Service - University of Washington, Seattle, WA
    Latest abstracts, with some preprints and information about authors; all abstract titles (old and new titles and authors, a large file); old abstracts; submission and subscription information; and related WWW servers. ...more>>

  15. Probability and Statistics (MathPages) - Kevin Brown
    More than 40 "informal notes" by Kevin Brown on probability and statistics: evaluating probabilities of Boolean events, area under the bell curve, N items distributed in M bins, dice rolling a given sum, a better lottery, meetings and birthdays, on random ...more>>

  16. Probability Theory and Stochastic Processes - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to probability theory: enumerative combinatorial analysis when applied to finite sets; thus the techniques and results resemble those of discrete mathematics. The theory comes into its own when considering ...more>>

  17. The Probability Web - Bob Dobrow; Department of Mathematics and Computer Science, Carleton College
    A collection of pages to serve people with interests in probability theory and its applications. Information is presented under the following headings: Probability links, Abstracts, Listservers, Newsgroups, People, Jobs, Journals, Software, Books, Booksellers, ...more>>

  18. Problem at the Art Gallery - Ivars Peterson (MathLand)
    The Crystal Art Gallery was being readied for its grand opening, and I had to figure out how many guards were needed to make sure that every wall of paintings was under scrutiny. I was also ordered to keep costs as low as possible. The trouble was that ...more>>

  19. The Problem of Knot Classification - Charilaos Aneziris
    Contents: Denoting Regular Knot projections; When is a notation drawable?; Equal Drawability; Identifying Equivalent Knot Projections; Ordering Knot Notations; Connected Sums; Comparing Regular Knot Projections; NF=14 Results; Calculating the Alexander ...more>>

  20. Problem of the Week Articles - the Math Forum @ Drexel
    These three published articles give context to using the Math Forum's Problems of the Week with students: Writing to Develop Understanding: The Math Forum @ Drexel's PoWs; Problems of the Week Engage Students with Special Needs; and The Impact of the ...more>>

  21. Problem Solving in Mathematics - Jim Wilson; Univ. of Georgia
    Problems in algebra, geometry, conversion, cryptarithm, "mean," trigonometry, and a mixture of all, many with comments and solutions, from a course given in the Dept. of Mathematics Education at the University of Georgia. The site also provides links ...more>>

  22. Problem Solving - It Has to Begin with Noticing and Wondering - Hogan, Marie; and Alejandre, Suzanne
    Middle school teacher Marie Hogan observed as the Forum's Director of Professional Development modeled a full cycle of the Problems of the Week (PoWs) in Hogan's West Covina (CA) classroom. This co-authored article about their experience around the PoW ...more>>

  23. Problem Solving with Heron's Formula - Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
    A paper on the development and demonstration of Heron's formula for the area of a triangle given the lengths of its three sides. Problems and explorations are included for using Heron's formula. ...more>>

  24. Professional Development in a Technological Age: New Definitions, Old Challenges, New Resources - Cathy Miles Grant
    This paper looks broadly at the field of professional development and the underlying principles that guide current approaches. The paper suggests specific issues that come with the process of supporting teachers in technology use, and concludes with a ...more>>

  25. Professor Badih Ghusayni
    Ghusayni, who teaches in the Department of Mathematics at Lebanese University, serves as Managing Editor of the International Journal of Mathematics and Computer Science. Purchase and download his books and journal articles on complex and harmonic analysis, ...more>>

  26. Professor L N Trefethen, Numerical Analysis - Balliol College, Oxford University, UK
    Links to books and recent papers by the head of the Numerical Analysis Group at Oxford University. Books include: Spectral Methods in Matlab, Finite Difference and Spectral Methods, Numerical Linear Algebra, and Spectra and Pseudospectra. ...more>>

  27. Professor Salah Mecheri - Salah Mecheri
    Home page of a mathematical analysis professor in Saudi Arabia. Includes publications, references, research statements, primarily focused on operator theory. ...more>>

  28. Professor Warwick Sawyer - Mark Alder
    Articles by the author of Mathematician's Delight: "Things and Unthings - An approach to negative numbers," "The Contribution of Music to Mathematical Discovery," "Some Thoughts on Education and Mathematics," "Saturday Morning Mathematics in Cambridge," ...more>>

  29. Profile (John H. Conway): Not Just Fun and Games - Mark Alpert, Scientific American
    A short biography of the English-born Princeton University mathematician and a discussion of some of his major mathematical contributions. ...over the past three decades Conway has made some of his greatest contributions to mathematical theory by analyzing ...more>>

  30. Program Information Guide Service (NCBE) - The National Clearinghouse for English Language Acquisition and Language (NCELA)
    Short monographs that provide school-based personnel with information on innovative practices for working with linguistically and culturally diverse students: bilingual and ESL, language minority, immigrants, etc. The National Clearinghouse for English ...more>>

  31. A Progression of Primes - Ivars Peterson (MathTrek)
    Searches for patterns among prime numbers - whole numbers exactly divisible only by themselves and one - have long served as stiff tests of the ingenuity and perseverance of mathematicians. In recent years, the use of computers has brought a steady stream ...more>>

  32. Project 2061: Science Literacy for a Changing Future - American Association for the Advancement of Science (AAAS)
    A long-term initiative to reform K-12 education nationwide so that all high-school graduates will be literate in science. The project is creating a coordinated set of reform tools and services—books, CD-ROMS, on-line resources, and workshops. This site ...more>>

  33. Project-Based Learning (Learning and Mathematics) - Blumenfeld, Soloway, Marx, Krajcik, Guzdial, & Palincsar; Math Forum
    In this 1996 article, "Motivating project-based learning: Sustaining the doing, supporting the learning," Blumenfeld and her colleagues at the University of Michigan describe project-based learning and the benefits of using long-term projects as part ...more>>

  34. Project Hermite - Shayne Waldron
    Because bounding the error in Hermite interpolation in terms of the derivative which kills the interpolating space is of interest in numerical analysis and in the analysis of ordinary differential equations, there is an extensive literature on the subject. ...more>>

  35. Projet Folium
    Folium est un ensemble organisé d'articles sur les mathématiques, du cours aux biographies de mathématiciens célèbres, en passant par les exos les plus classiques et les théorèmes les plus puissants. Articles ...more>>

  36. Projet PRISME - INRIA, Sophia Antipolis
    Les activités du projet PRISME sont centrées sur la géométrie algorithmique et ses applications, et sur les aspects géométriques de la robotique. Les études sont motivées par les nombreux domaines ...more>>

  37. Promoting Engagement and Supporting Leadership Development:
    Online Teacher Professional Development at the Math Forum - Wesley Shumar, Jason Silverman, & Troy P. Regis, Drexel University

    PDF-format article. Abstract: Teacher professional development (TPD) in its current state is typically episodic, fragmented, and often not rewarding over the long haul. There is need for a more substantial and extensive core set of TPD experiences that ...more>>

  38. Proof - Jim Loy
    Brief descriptions of different types of proof, both mathematical and not. ...more>>

  39. Proof, Mathematical (Encarta Encyclopedia 2000) - Microsoft Encarta Online
    An argument that is used to show the truth of a mathematical assertion. In modern mathematics, a proof begins with one or more statements called premises and demonstrates, using the rules of logic, that if the premises are true then a particular conclusion ...more>>

  40. A Proof of the Full Shimura-Taniyama-Weil Conjecture - Henri Darmon
    Download an article in PDF-format on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor. ...more>>

  41. A Proof of the Pythagorean Theorem by Liu Hui (third century A.D.) - Donald B. Wagner
    Web version of an article which appeared in Historia mathematica, 1985, 12, pp. 71-3. Includes Chinese characters, which were not in the published version. Some statements here are no longer up to date, but the article has not been significantly modified. ...more>>

  42. Proofs Without Words - Cut the Knot!, Alexander Bogomolny
    Martin Gardner wrote, "There is no more effective aid in understanding certain algebraic identities than a good diagram. One should, of course, know how to manipulate algebraic symbols to obtain proofs, but in many cases a dull proof can be supplemented ...more>>

  43. Prophet of Chaos - Ivars Peterson (MathTrek)
    "'...it may happen that small differences in the initial conditions produce very great ones in the final phenomena. A small error in the former will produce an enormous error in the latter. Prediction becomes impossible, and we have the fortuitous phenomenon.' ...more>>

  44. The Pros and Cons of Technology in the Classroom - Roy Pea, Larry Cuban, Bay Area School Reform Collaborative, TAPPED IN
    Nationally recognized experts on the subject, Dr. Roy Pea and Dr. Larry Cuban offer their insights in this transcript of speeches each gave to a gathering of organizations that fund school reform projects. A transcript of questions and answers from the ...more>>

  45. Providing Hands-On, Minds-On, and Authentic Learning Experiences in Mathematics (NCREL) - Cathy Cook; Pathways to School Improvement
    A linked essay giving overview, background, and issues around constructivist theory and its implementation. "When educators begin to see learning as knowledge construction, they change their thinking about curriculum, instruction, and assessment, developing ...more>>

  46. Psychosemiotic Theory and Educational Practice - Alice Leonard
    Walkerdine and Corran's (1979) paper showed how psychosemiology may account for developmental data as a potentially fruitful alternative to the better known stage theories, like that of Piaget. They argued that learning mathematics is an ideal activity ...more>>

  47. P.T. Chang
    Articles by this math professor from the University of Alaska Anchorage's Mat-Su College include "The Ostentatious World of Algebra," "In-Service Training for the Math Teacher of the 21st Century," and "Retesting in a College Remedial Mathematics Course." ...more>>

  48. Publications - Douglas N. Arnold; Institute for Mathematics and its Applications
    Most of Arnold's papers written since the late 1980s are available in PostScript, TeX DVI or plaintext file format. The Ph.D. theses of students he has supervised are also online. Primary research interests center around numerical analysis, with an emphasis ...more>>

  49. Publications - J. F. Jardine; Mathematics Dept., Univ. of Western Ontario, Canada
    On this page there are: a link to a full list of publications; a book subdirectory (Simplicial Homotopy Theory, by P. G. Goerss and J. F. Jardine); and abstracts of papers: A^1-local symmetric spectra; Presheaves of symmetric spectra; A rigidity theorem ...more>>

  50. Publications of François Morain
    Links to papers on elliptic curves: Primality proving; Complex multiplication; Pseudoprimes; Elliptic curves over finite fields; Discrete logarithm over algebraic curves; Character sums; Miscellaneous. Also in French. ...more>>

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