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  All Sites - 2034 items found, showing 1401 to 1450

  1. A Passion for Pi - Ivars Peterson (MathLand)
    Some of you may be familiar with the sentence: How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics! The number of letters in each word represents successive digits of pi: 3.14159265358979. How Simon Plouffe memorized ...more>>

  2. Pathways to School Improvement - North Central Regional Educational Laboratory (NCREL)
    A Web site that addresses school improvement issues about students, educators, content, methods, and the environment. Practical, action-oriented summaries of best practice and research, descriptions of schools that have successfully addressed issues, ...more>>

  3. PAT Online: Reports from the Practical Algebra Tutor Project - PACT Center, Carnegie Mellon University
    An intelligent tutoring system, a sort of modified spreadsheet system, based on a theory of cognition developed by John Anderson and the NCTM standards. Try it out online, or: read articles about education, technology, and computer science; explore background ...more>>

  4. Pattern Recognition Student Projects, 1997 - Godfried Toussaint, McGill University
    A variety of student projects: papers presented on the Web, many with Java applets. Topics include: Skeletonization Algorithm of Hilditch; Alpha Shapes; Didier K-Means Algorithm; The MIT Reading Machine for the Blind; Distance Transforms; Midpoint Smoothing; ...more>>

  5. Patterns of physical change - Phil Henshaw
    Focuses on the use of tools such as derivative reconstruction (DR) to measure growth and changes in a system. Includes: a short paper "Is the basis of change evolutionary?"; a description of the theory of derivative reconstruction as a method of analyzing ...more>>

  6. Pat Thompson's Home Page - Patrick W. Thompson
    Research on students' development of algebra and calculus ideas in grades 3-16, on the nature of multiplicative reasoning and its role in learning sophisticated mathematical ideas, and on teaching and learning statistical and probabilistic reasoning. ...more>>

  7. Paul Erdos: An Infinity of Problems - Ivars Peterson (MathLand)
    Paul Erdos died of a heart attack on Sept. 20 [1996] at the age of 83. Considered by many as one of the great mathematicians of this century and certainly one of the most prolific ever, he will be missed. For more than 50 years, Erdos wandered the globe ...more>>

  8. Paul Nevai
    Paul Nevai researches orthogonal polynomials and approximation theory. Many of his articles are available here in .dvi format or as html documents. ...more>>

  9. Paul Trow's Math Page - Paul Trow
    Trow's interactive web pages and perl software let you graph the Lotka-Voltera equations and see interconnected predator and prey populations plotted over time; model the trajectory of a cannonball for different muzzle velocities and angles of elevation, ...more>>

  10. Peanut Software for Windows - Rick Parris
    Abstracts and links for downloading free mathematics software: Wingeom (high-precision geometric constructions); Winplot (general-purpose plotting utility); Winstats (scatter plots, curve fitting, histograms, statistical data, and standard theoretical ...more>>

  11. Pedagogy Articles - Schiller
    Translations of papers by G.W. Leibniz on the catenary (or funicular curve) and by Gauss on the Fundamental Theorem of Algebra. ...more>>

  12. Pell's equation - MacTutor Math History Archives
    Linked essay on the indeterminate quadratic equation. With references and other related web sites. ...more>>

  13. Pennies in a Tray - Ivars Peterson (MathLand)
    What's the largest number of pennies that you can pack inside a circular tray to form a carpet of nonoverlapping coins? What about inside a square or triangular tray? What if you could expand or contract the size of all your pennies to fit a required ...more>>

  14. A Penny Surprise - Ivars Peterson (MathTrek)
    Flipping a coin in the air, catching it, then determining whether it has come up heads or tails is to many people a prototypical random process. In some sense, however, coin tossing isn't really random at all. A mechanical gadget can flip a properly positioned ...more>>

  15. Pens and Crystals (Math Chat) - Frank Morgan, MAA Online
    Answering the challenge: How should you fence in two adjacent rectangular pens of given areas A, B with the least amount of fencing (including the fencing separating them)? Ms. Mattuck's 8th graders at the Richmond School use the Geometer's Sketchpad ...more>>

  16. Pentium Bug Revisited - Ivars Peterson (MathLand)
    The incident that triggered a barrage of ridicule occurred in the fall of 1994, a few months after Intel had introduced its Pentium microprocessor. The furor started with an e-mail message from Thomas R. Nicely, a mathematician at Lynchburg College in ...more>>

  17. A Perfect Collaboration - Ivars Peterson (MathLand)
    Euclid and Euler seem an unlikely pairing. One was the most prominent mathematician of antiquity, best known for his treatise on geometry, the Elements. The other was the most prolific mathematician in history, the man whom his 18-century contemporaries ...more>>

  18. Perfect Numbers - MacTutor Math History Archives
    Linked essay describing the work on perfect numbers from Pythagoras through Euclid, Nicomachus, the Arabs, Cataldi, Descartes, Mersenne, Fermat, Euler, Barlow, Catalan, Cole, and others; with other web sites and 20 references (books/articles). ...more>>

  19. Performance Evaluation - Keith Devlin (Devlin's Angle)
    "Dear Professor G,..." A critique of current professorial evaluation schemes in the college/university setting. ...more>>

  20. Periodic Points of Quadratic Polynomials - Cut the Knot!, Alexander Bogomolny
    The main purpose of the Mandelbrot set is to index Julia sets corresponding to various values of the parameter c... iterations inside M evolve differently depending on the value of c. (You may explore some iterations via the applet supplied.) An interactive ...more>>

  21. The perplexing mathematics of presidential elections - Keith Devlin (Devlin's Angle)
    It's not the idea of one person one vote that's the problem, it's that math that is used to turn those votes into a final decision. Ideally, that math should reflect the wishes of the electorate. But does it? The answer usually comes as a surprise to ...more>>

  22. Pete Casazza
    Articles by this University of Missouri professor, some of them scanned from journals, include "A Mathematician's Survival Guide," "Classes of Finite Equal Norm Parseval Frames," "Dear Pythagoras: See What You Started," "Equivalents of the Kadison-Singer ...more>>

  23. Pete L. Clark
    Course notes, open problems, publications and preprints by Clark, who teaches at the University of Georgia, and does research primarily in number theory and arithmetic geometry. See, in particular, Clark's freely downloadable PDF expositions on commutative ...more>>

  24. Peter Doyle - Mathematics, Univ. of California at San Diego
    Advanced tutorials, proofs and papers, mostly statistics, probability, geometry, and graph theory, but with examples from other mathematics areas as well. Don't miss Dr. Doyle's Flip Flops. ...more>>

  25. Peter J. Lu - Department of Physics, Harvard University
    Lu's mathematical and historical research has revealed new insights in medieval Islamic quasicrystalline tilings and the earliest machines, such as the one he suggests precisely interconverted the linear and rotational motion responsible for the distinctive ...more>>

  26. peterlu.org - Peter Lu
    Publications and research into medieval Islamic geometry (e.g., decagonal and quasicrystalline tilings in its architecture), soft-matter and colloid physics, high-performance imaging, ancient Chinese technology (e.g., first use of diamond, early precision ...more>>

  27. Peter Olver's Home Page - Peter Olver
    Publications, seminar and conference talks, and more resources from the Head of the University of Minnesota's School of Mathematics. Download notes of Olver's lectures on applied mathematics, numerical analysis, orthogonal bases and the QR algorithm, ...more>>

  28. Petits Textes sur l'éducation - Laurent Lafforgue
    Essais écrit par le laureat de la medaille Fields 2002, incluent "De l'école et de ce qui fonde la valeur de la culture et du savoir" et "De la culture générale des futurs instituteurs et professeurs" et "Les mathématiques ...more>>

  29. Pfaff's Method (III): Comparison with the WZ Method (Organic Mathematics Proceedings) - George Andrews
    In the 1990's, the WZ method has been the method of choice in resolving new conjectures for hypergeometric identities. The object here is to compare the WZ method with Pfaff's method. Such a comparison should (it is hoped) provide some suggestions for ...more>>

  30. Phalanstère - Équipe de Combinatoire Algébrique, Université de Marne-la-Vallée
    Research into the relations between algebra and combinatorics. Membres; Publications; Logiciels; Séminaire. In French. ...more>>

  31. Phase State Diagrams - Harold Brochmann
    Phase diagrams reveal much information about physical phenomena. Brochmann illustrates with a variety of graphs created by computer programs. Phase state diagrams of unstable orbits reveal 'strange attractors', useful in a variety of fields including ...more>>

  32. Philippe Flajolet
    Philippe Flajolet researches the analysis of algorithms, analytic combinatorics, computer algebra, asymptotic analysis, special functions, random structures, and natural languages. An extensive collection of his articles, and the first chapters of ...more>>

  33. Phi: That Golden Number - Mark Freitag, Univ. of Georgia
    Phi can be found in many geometric shapes as an approximation of the Golden Ratio. A geometric figure commonly associated with Phi is the Golden Rectangle, which has sides A and B that are in proportion to the Golden Ratio. It has been said that the Golden ...more>>

  34. Photo-Math - Martha Jean Barrett; Kodak
    A project where students created their own mathematical board games for use with younger or less advanced students, for grades 4-8. Working in teams, advanced students covered seven math categories: whole numbers, decimals, fractions, measurement, geometry, ...more>>

  35. Phyllotaxis - Pau Atela, Chris Golé; Smith College
    An interactive site for the mathematical study of plant pattern formation. Sections of the site include: Introduction to Phyllotaxis (classification, Fibonacci/golden angle, microscope, mathematical model, and lattices); history; glossary; references; ...more>>

  36. Physics (MathPages) - Kevin Brown
    More than 60 "informal notes" by Kevin Brown on mathematical physics: Doppler for sound and light, optical rays in heterogeneous media, radial orbitgs in Schwarzschild geometry, the formation and growth of black holes, can Schrodinger's cat factor numbers?, ...more>>

  37. The Physics of Baseball - Alan Nathan
    Read about the benefits (or not) of corked bats, the differences between aluminum and wood bats, the issues involved with characterizing the performance of bats from a physics point of view, and a description of the collision between a wooden bat and ...more>>

  38. Pi: A 2000-Year Search Changes Direction - Adamchik, Wagon
    A New Formula for Pi: David Bailey of NASA/Ames and Peter Borwein and Simon Plouffe of the Centre for Experimental and Computational Mathematics at Simon Fraser University (BBP) have discovered a remarkable and remarkably simple new formula for Pi. Sum ...more>>

  39. PianoMath Home Page: Improving Math Skills through Music - Peter Taussig, E. Paul Goldenberg
    Essays and activities on links between music and mathematics. PianoMath is a cross-disciplinary curriculum of musical classroom activities relating to arithmetic, geometry, graphing, logic foundation, and pre-algebra. It is now being tested at an elementary ...more>>

  40. Pick a Digit, Any Digit - Ivars Peterson (MathTrek)
    One of the most amazing mathematical results of the last few years was the discovery of a surprisingly simple formula for computing digits of the number pi. Unlike previously known methods, this one allows you to calculate isolated digits - without computing ...more>>

  41. Picking Winners - Ivars Peterson (MathTrek)
    One of the attractive features of spectator sports is the uncertainty of the outcome. Even when one team is overwhelmingly favored to win, the underdog may still come through with a surprising victory. Nonetheless, the ability to pick winners can be of ...more>>

  42. Pick's Theorem - Cut the Knot!, Alexander Bogomolny
    A description with proof of Pick's theorem, including links to further pages including exercises with an applet for the geoboard, Farey Series, and Stern-Brocot Tree. An interactive column for MAA Online that uses a Java applet to simulate a puzzle or ...more>>

  43. Pinpointing Prey - Ivars Peterson (MathTrek)
    The sand scorpion uses two types of sensors on the tips of its legs to detect mechanical vibrations transmitted over relatively short distances across the surface. One sensor, called the basitarsal slit sensillum, detects surface waves, or ripples. The ...more>>

  44. Pi-Search
    Search the first four billion binary digits of Pi for a string. Enter the string in hex (4 bit) or character (5 bit) format. Includes some statistics (probability of occurrence of characters, digits). Related links include articles and papers. ...more>>

  45. Pitfalls of Data Analysis - Clay Helberg
    Subtitled "... or How to Avoid Lies and Damned Lies," this paper discusses what people "often overlook in their data analysis, and ways people sometimes 'bend the rules' of statistics to support their viewpoint." Tips to ensure the clarity and accuracy ...more>>

  46. Pi Through the Ages - MacTutor Math History Archives
    A history of pi: the Rhind papyrus (Egypt), Ptolemy, Tsu Ch'ung Chi, al'Khwarizmi, Al'Kashi, Viet, Romanus, Van Ceulen, Gregory, Shanks, Lambert, Euler, Buffon, and many more, with other Web sites and 30 references (books/articles). ...more>>

  47. pLab: Random Number Generation - Peter Hellekalek; Mathematics Dept., University of Salzburg
    Results and links on this fundamental topic in stochastic simulation. RNGs are deterministic algorithms that produce numbers with certain distribution properties. Roughly speaking, these numbers should behave similar to realizations of independent, identically ...more>>

  48. Place Value - Cut the Knot!, Alexander Bogomolny
    Dictionary definitions of place value and what they lack; the emphasis on place value in the NCTM Standards; its importance in understanding our numeration system; how it arises from one of several possible representations of grouping in the counting ...more>>

  49. Plane Isometries - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
    A collection of basic facts and partial explanations on plane isometries. With accompanying Java applets for translation, reflection, rotation and glide reflection. ...more>>

  50. Plane Patterns - Ivars Peterson (MathTrek)
    Exploring the link between mathematical symmetry and artistic effort. One- and two-dimensional repeating patterns appear ubiquitously on surfaces, from quilts and colored fabrics to pottery and ceramic tiles... Analyzing the symmetries that underlie such ...more>>

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