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  All Sites - 2071 items found, showing 1451 to 1500

  1. 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>>

  2. 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>>

  3. 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>>

  4. 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>>

  5. 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>>

  6. 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>>

  7. 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>>

  8. 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>>

  9. 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>>

  10. 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>>

  11. 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>>

  12. 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>>

  13. Pi - Jim Loy
    An elementary introduction to pi. ...more>>

  14. 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>>

  15. 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>>

  16. 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>>

  17. 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>>

  18. 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>>

  19. 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>>

  20. 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>>

  21. 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>>

  22. Planes of Budapest - Ivars Peterson (MathTrek)
    Nearly every Sunday during the winter of 1933 in Budapest, a small group of students would meet somewhere in the city at a park or cafe to discuss mathematics. The gathering typically included Paul Erdös (1913-1996), György (George) Szekeres, ...more>>

  23. Planet Math
    Designed to be a central repository for mathematical knowledge on the web, with a pedagogical slant. All content is user-contributed, either to the Encyclopedia or to the reviewed listings of papers, books, and lecture notes. Polls, discussions, and feedback ...more>>

  24. Plato: Acceptance of Astronomy as a Science - Michael Tirabassi
    Translations from Plato's Dialogues (Loeb edition): The Myth of Er (a multihemispere model of the sky - Republic, X, 616B-617). The True Astronomer Must be the Wisest of Men (Epinomis 990a); Pursue Astronomy as you Would Geometry (Republic 530b); Realise ...more>>

  25. Platonic Solids - Paul Bourke
    Definitions, formulas, and illustrations of the three-dimensional regular polyhedra: tetrahedron, octahedron, hexahedron (cube), icosahedron, dodecahedron, including the solids as drawn in Kepler's Mysterium Cosmographicum, and as represented in stone ...more>>

  26. Plato's Molecule - Ivars Peterson (MathTrek)
    In his dialogue Timaeus, the Greek philosopher Plato (427-347 B.C.) carefully laid out his reasoning for ascribing certain geometric shapes to the minuscule particles that constituted the four elements of matter. In his view, these elements - fire, air, ...more>>

  27. Playing with Ruth-Aaron Pairs - Ivars Peterson (MathLand)
    On April 8, 1974, Henry (Hank) Aaron hit his 715th major league home run, surpassing the previous mark of 714 career home runs long held by baseball great Babe Ruth. Understandably, the event received considerable coverage in newspapers and magazines ...more>>

  28. Plus Magazine - Department of Applied Mathematics and Theoretical Physics, University of Cambridge
    Plus (formerly PASS-Maths) is a triannual online magazine for older pupils and the general public. It publishes articles explaining the diverse applications of mathematics used in solving problems in physics, chemistry, biology, engineering, and economics. ...more>>

  29. Poe's Secret - Ivars Peterson (MathTrek)
    Writer Edgar Allan Poe (1809-1849) is famous for his short stories of the mysterious and the macabre. His popular tale "The Gold-Bug," published in 1843, is often cited as one of the best works of fiction that turn upon a secret message. Poe had a longstanding ...more>>

  30. Polynomials, Rational Functions - Dave Rusin; The Mathematical Atlas
    A page reserved for the analytic study of polynomial functions studied in calculus classes. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; selected topics; other web sites with this ...more>>

  31. Polytopes and Polyhedra - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to geometric objects made from straight pieces: polygons, polyhedra, and generalizations. Applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; ...more>>

  32. Population Index 1986-1998 - Office of Population Research, Princeton University
    The primary reference tool to the world's population literature, presenting an annotated bibliography of recently published books, journal articles, working papers, and other material on population topics. It covers all fields of interest to demographers, ...more>>

  33. The Position of the Sun - Dave Rusin; The Mathematical Atlas
    A computer program to calculate the position of the sun, with an article describing the calculation of the apparent sun position in local coordinates for an earth observer: notation; solution; removing the effect of one variable and simplifying the solution; ...more>>

  34. Potential Theory - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to potential theory, the mathematical treatment of the potential-energy functions used in physics to study gravitation and electromagnetism. If some electrically charged particles are distributed in ...more>>

  35. The Power of Innovative Scheduling - Robert Lynn Canady; Educational Leadership Journal
    A November 1995 article. "Alternative schedules may not add hours to the school day, but they can vastly improve the quality of the time students spend at school." Issues facing all schools; scheduling tips for elementary, middle and high schools; references. ...more>>

  36. The Power of One - Robert Matthews, The New Scientist
    Benford's law demands that around 30 per cent of the numbers in a given data set will start with a 1, 18 per cent with a 2, right down to just 4.6 per cent starting with a 9. This essay provides a mathematical history behind the counterintuitive law, ...more>>

  37. Powers of 5 and Traveling to the North Pole (Math Chat) - Frank Morgan; Christian Science Monitor
    What is the remainder when you divide 5^999,000 by 7? ...more>>

  38. Powersums, Fermat, Waring; Quotes, History... - Nico F. Benschop
    Links to papers on the ideas of Fermat, Waring, Goldbach, Cantor, Hensel, Hasse-Minkowski, and Selmer, and the following mathematical concepts: semigroups, sequential logic synthesis, cubic roots, and state machines and their sequential closure. With ...more>>

  39. Practical Foundations of Mathematics - Paul Taylor
    The full text (online, in HTML) of the book (some diagrams may be missing), published by Cambridge University Press in March, 1999 as number 59 in their series Cambridge Studies in Advanced Mathematics. Practical Foundations collects the methods of construction ...more>>

  40. A Practical Guide to Wavelet Analysis - Christopher Torrence and Gilbert P. Compo
    Read an introduction to wavelet analysis and Monte Carlo methods, or download it in PDF or PostScript format. Use an interactive wavelet plotting form to investigate sample time series or your own data. Download wavelet software in Fortran, IDL, or ...more>>

  41. The Practice of Logical Frameworks (1996) - Frank Pfenning
    A survey article discussing the history of work on logical frameworks and their current open problems. Deductive systems, given via axioms and rules of inference, are a common conceptual tool in mathematical logic and computer science. They are used to ...more>>

  42. Practice Online! The Electronic Complement to INTERFACES (POL) - Institute for Operations Reseach and the Management Sciences (INFORMS)
    A practice-oriented electronic information service of INFORMS, jointly sponsored by INTERFACES and the INFORMS Roundtable. Forum, submission guidelines, supplemental materials online, tables of contents and abstracts, Edelman abstracts, practice-oriented ...more>>

  43. Precollege science and math 'lack focus' - Janet Raloff - Science News Online
    A National Science Foundation report finds no one at the helm of U.S. science and math education, with the result that students are exposed to smatterings of topics that vary regionally and encourage little in-depth learning. The analysis, released in ...more>>

  44. Preconditioned Eigensolvers - Andrew Knyazev; Dept. of Mathematics, Univ. of Colorado at Denver
    Investigations into matrix-free iterative methods for partial eigenvalue problems that take advantage of using preconditioners to accelerate convergence. Papers, an interactive discussion, a bibliography, related conferences, and links to software. ...more>>

  45. Preparing for University Calculus - Mathematics and Statistics Committee of the Atlantic Provinces Council on the Sciences (APICS)
    Answers frequently asked questions about university level calculus courses, such as "What math will I need in university?" and "What is calculus?" Also download the booklet, which offers sample questions and hints of the sort often found on calculus placement ...more>>

  46. Preparing Teachers of Mathematics: Asking the Right Questions - Lynn Arthur Steen; St. Olaf College
    Lynn Steen writes that the problems of teacher preparation arise from multiple sources and require correspondingly different solutions. About mathematics teachers, prospective mathematics teachers, and curriculum issues. ...more>>

  47. Preservice Teachers' Conceptions of Mathematics and How to Teach It - Annie and John Selden; Mathematical Association of America
    "The way teachers explain mathematics depends, to a large extent, on the conceptual grasp they acquire in their college classes. In addition, they often teach as they were taught, modeling themselves after their college mathematics teachers as much as ...more>>

  48. Presidential Election and the Length of the Shortest Piece (Math Chat) - Frank Morgan, MAA Online
    Presidential election with 48% of the US popular vote does not come close to the extreme possibility, even with just two candidates, of winning with less than about 22% of the popular vote. See Math Chat of November 8, 1996. Answer to the Challenge: 1. ...more>>

  49. President's Column (MAA) - Ken Ross
    MAA President Ken Ross wrote this column for Focus on the need to connect K12 and college-level reforms. ...more>>

  50. Pretty Functions - Ivars Peterson (MathTrek)
    About graphing calculators, and the software Graphing Calculator, a computer program for quickly visualizing two- and three-dimensional mathematical objects. Graphs illustrate plotting a given function, then seeing what happens when you modify the function ...more>>


 
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