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Manifesto. Interactive Mathematics Miscellany and Puzzles

Manifesto. Interactive Mathematics Miscellany and Puzzles
Related:  Mathematics

Free Online College Courses Front Page, Interactive Mathematics Miscellany and Puzzles Since May 6, 1997You are visitor number 27862784 in base 11 The heart of mathematics consists of concrete examples and concrete problems. P.R.Halmos, How to Write MathematicsAMS, 1973 Also, some pages are organized into series while others, especially the older ones, are accessible individually. Throughout the discussions at this site I refer to various titles I love and find useful enough to have them in my own library. First off, you may want to look at the page that explains to the curious the origin and nature of my logo. There is also a page where I offer a beautiful geometric problem. One page currently presents 118 different proofs of the Pythagorean Theorem which was a great fun putting together. Another page looks into different ways a specific statement may be related to a more general one. Other pages have educational content. To me Internet is one of life's wonders. Recently I discovered the source of the 4 Travelers problem. |Contents||Store|

Math on the Web: Mathematics by Classifications Mathematical Awareness Month Math in the Media [Monthly magazine from the AMS] AMS Feature Column [Monthly essay from the AMS] MAA Online Columns Collection [Peterson, Devlin, Colm, Bressoud, Adams and Narayan, Sandifer, Morgan, Bogomolny, Peterson, Pegg] Frequently Asked Questions (FAQ) about Mathematics (The Sci.Math FAQ Team) Favorite Mathematical Constants , by Steven Finch; An online book and extensive collection of the author's "favorite" special numbers. Simon Plouffe's Tables of Mathematical Constants to millions of decimal places. The Erdos Component Page at Oakland U (Rochester, MI USA) - Information on the graph of collaboration in mathematics (J. John Baez's "This week's finds in mathematical physics" Math for Poets, Understanding Mathematics, and Gödel, Escher, Bach (J. International Congress of Mathematicians -- ICM 2002 Beijing Announcements International Congress of Mathematicians -- ICM 1998 Berlin Proceedings International Congress of Mathematicians -- ICM 1994 Zürich Abstracts Lucia de B. is innocent This internet site has been created by a group of individuals who form the “Committee for Lucia”. None of its members are related to Lucia, nor are they from her circle of friends. They are merely individuals driven by the certainty that Lucia is the victim of a gross miscarriage of justice. # News: BBC 23-7-2010 – Can chance make you a killer? Richard Gill 18-4-2010 – Bureau of Lost Causes This organisation has been set up inspired by the self-less efforts by so many people over the last six years, which only just now led to the extraordinary and total rehabilitation of Lucia de Berk. Guardian 14-4-2010 – Dutch nurse acquitted of being a mass murderer The ruling ended a bizarre legal odyssey during which the country's judicial system – right up to the Supreme Court – interpreted evidence wrongly, including statistics, autopsy results, and the nurse's diaries. The Independent 10-4-2010 – Nigel Hawkes: Did statistics damn Lucia de Berk? Google "Lucia" Trends # A gross miscarriage link or

Geometric Folding Algorithms: Linkages, Origami, Polyhedra Matematička takmičenja u Srbiji Can Math Make a Better Marathon? Less than two miles from the finish of last month’s Chicago Marathon, with the race finally narrowed to a neck-and-neck duel between two Kenyan runners, the NBC television commentators began placing their bets. It wasn’t a hard call. Abel Kirui, who hadn’t won a marathon since 2011, was visibly struggling, repeatedly falling behind and then clawing his way back. At one point, grimacing, he snatched a cup of water from a volunteer and dumped it over his head. Such moments are what make marathons fascinating to watch and their results impossible to predict. In theory, the pace that a runner can sustain in a marathon is a straightforward function of physiology—how well the heart can pump fresh blood through the arteries, how much energy the leg muscles burn, and so on. Noakes is now most famous for having abandoned the idea of physiological limits entirely. At the moment, the clearest example of the potential impact of real-time data comes from cycling.

advice John Baez March 25, 2007 I have reached the stage where young mathematicians and physicists sometimes ask me for advice. Here is my advice. Most of it applies to grad students and postdocs in any branch of science who seek an academic career involving research. On Keeping Your Soul The great challenge at the beginning of ones career in academia is to get tenure at a decent university. The great thing about tenure is that it means your research can be driven by your actual interests instead of the ever-changing winds of fashion. To do this, you have to make sure you never lose that raw naive curiosity that got you interested in science in the first place. In our acquisition of knowledge of the Universe (whether mathematical or otherwise) that which renovates the quest is nothing more nor less than complete innocence. So: keep playing around with all sorts of ideas, techniques and tools. Some Practical Tips Go to the most prestigious school and work with the best possible advisor. home e-Print archive Imagining the 4th Dimension | IB Maths Resources from British International School Phuket Imagining the 4th Dimension Imagining extra dimensions is a fantastic ToK topic – it is something which seems counter-intuitively false, something which we have no empirical evidence to support, and yet it is something which seems to fit the latest mathematical models on string theory (which requires 11 dimensions). Mathematical models have consistently been shown to be accurate in describing reality, but when they predict a reality that is outside our realm of experience then what should we believe? Our senses? Our intuition? Or the mathematical models? Carl Sagan produced a great introduction to the idea of extra dimensions based on the Flatland novel. Mobius strips are a good gateway into the weird world of topology – as they are 2D shapes with only 1 side. Next we can move onto the Hypercube (or Tesseract). The page allows you to model 1, then 2, then 3 dimensional traces – each time representing a higher dimensional cube. For a more involved discussion (it gets quite involved!)

Geometric Folding Algorithms: Linkages, Origami, Polyhedra (Fall 2010) Prof. Erik Demaine [Home] [Problem Sets] [Project] [Lectures] [Problem Session Notes] Overview the algorithms behind building TRANSFORMERS and designing ORIGAMI Whenever you have a physical object to be reconfigured, geometric folding often comes into play. We will organize an optional problem-solving session, during which we can jointly try to solve open problems in folding. Class projects more generally can take the form of folding-inspired sculptures; formulations of clean, new open problems; implementations of existing algorithms; or well-written descriptions of one or more papers in the area. Topics This is an advanced class on computational geometry focusing on folding and unfolding of geometric structures including linkages, proteins, paper, and polyhedra. Textbook The textbook for the class is Geometric Folding Algorithms: Linkages, Origami, Polyhedra by Erik Demaine and Joseph O'Rourke, published by Cambridge University Press (2007). Specifics Participating Previous Offerings

Diferencijalne jednacine prvog reda | Milan Milošević | Svet nauke Kratak pregled metoda resavanja najpoznatijih tipova obicnih diferencijalnih jednacina prvog reda 1.1 Razdvojene promenljive U opštem slučaju: 1.2 Homogena diferencijalna jednačina Smenom: polazna jednačina postaje: tj. diferencijalna jednačina oblika Primedba: diferencijalna jednačina oblika: gde je a, b, c, A, B, C = const, može se svesti na jednačinu oblika . 1o) Ako je smenom: jednačina postaje: Sistem jednačina: ima rešenje po a i bpa jednačina postaje: a to je jednačina oblika . 20) Neka je , tj. gde je k konstanta. , gde je u nova nepoznata f-ja promenljive x. odnosno jednačina oblika . 1.3 Linearna diferencijalna jednačina Ako je jednačina se naziva homogena linearna diferencijalna jednačina. 1o) Homogena jednačina: za postaje: tj. jednačina oblika čije je rešenje: Može se uzeti kao rešenje jednačine . 2o) Da bi rešili pretpostavimo ako se jn-e i zamene u dobija se: odnosno: pa je opšte rešenje jednačine : U eksplicitnom obliku opšte rešenje jednačine dato je kao: 1.4 Bernulijeva jednačina Gde je , za Za Smenom