21. Conjectures And Refutations - ENotes.com Reference Get Expert Help. Do you have a question about the subject matter of this article? Hundreds of eNotes editors are standing by to help. http://www.enotes.com/topic/Conjectures_and_Refutations

22. Conjectures | Define Conjectures At Dictionary.com –noun 1. the formation or expression of an opinion or theory without sufficient evidence for proof. 2. an opinion or theory so formed or expressed; guess; speculation. 3 http://dictionary.reference.com/browse/conjectures

23. Conjectures Of Graffiti.pc Written on the Wall II is composed mainly of conjectures of my conjecturemaking program Graffiti.pc (G.pc for short) which was inspired by Siemion Fajtlowicz's http://cms.dt.uh.edu/faculty/delavinae/research/wowII/list.htm

Written on the Wall II (Conjectures of Graffiti.pc) Ermelinda DeLaVina (delavinae@uhd.edu last update 11/12/05 About the program On Some Conjectures Written on the Wall II is composed mainly of conjectures of my conjecture-making program Graffiti.pc G.pc for short) which was inspired by Siemion Fajtlowicz's conjecture-making program Graffiti . Both programs utilize Fajtlowicz's Dalmatian heuristic, however each has its individual implementations. The first 8 conjectures were generated by Graffiti, while I was Fajtlowicz's student, see 1996 list(pdf) for the original list. The remaining conjectures on this list (as of 2001) were generated by Graffiti.pc. Please send information to delavinae@uhd.edu on any of the conjectures on this list. Related websites and papers Siemion Fajtlowicz's list (with comments) Written on the Wall is available from him by request. Also available is bibliographical information on papers inspired by conjectures of Graffiti, since it inception in the mid-1980s; that webpage includes a variety of papers related to Graffiti. Some of the most recent papers that describe and discuss Graffiti include: E. DeLaVina, On Some History of the Development of Graffiti

24. Weil Conjectures - Wikipedia, The Free Encyclopedia In mathematics, the Weil conjectures were some highlyinfluential proposals by Andr Weil on the generating functions (known as local zeta-functions) derived from counting the http://en.wikipedia.org/wiki/Weil_conjectures

Weil conjectures From Wikipedia, the free encyclopedia Jump to: navigation search Other "Weil conjectures" include the Taniyama-Shimura-Weil conjecture about elliptic curves, and the Weil conjecture on Tamagawa numbers In mathematics , the Weil conjectures were some highly-influential proposals by André Weil ) on the generating functions (known as local zeta-functions ) derived from counting the number of points on algebraic varieties over finite fields A variety V over a finite field with q elements has a finite number of rational points , as well as points over every finite field with q k elements containing that field. The generating function has coefficients derived from the numbers N k of points over the (essentially unique) field with q k elements. Weil conjectured that such zeta-functions should be rational functions , should satisfy a form of functional equation , and should have their zeroes in restricted places. The last two parts were quite consciously modeled on the Riemann zeta function and Riemann hypothesis . The rationality was proved by Dwork (1960) , the functional equation by Grothendieck (1965) , and the analogue of the Riemann hypothesis was proved by Deligne (1974) Contents Background and history Statement of the Weil conjectures Examples The projective line ... edit Background and history The earliest antecedent of the Weil conjectures is by Carl Friedrich Gauss and appears in section VII of his Disquisitiones Arithmeticae Mazur 1974 ), concerned with

25. SCIENCE CONJECTURES AND REFUTATIONS SCIENCE conjectures AND REFUTATIONS KARL POPPER There could be no fairer destiny for any. . . theory than that it should point the way to a more comprehensive theory in which http://poars1982.files.wordpress.com/2008/03/science-conjectures-and-refutations

26. CONJECTURES - Discovering Geometry Chapter 2 C-1 Linear Pair File Format PDF/Adobe Acrobat Quick View http://files.lincolnhigh.net/uploads/files/2903.pdf

27. Discovering Geometry Resources - Key Curriculum Press Discover some properties of rhombuses, rectangles, and squares, and formulate five conjectures (C49 to C-53). This dynamic geometry exploration can be used to replace or extend http://www.keypress.com/x19849.xml

Customer Support Contact Us About Key News Home Educators Parents, Mentors, Students Educational Retailers Follow Us Like Blog State Resources Professional Development View Cart Checkout Discovering Geometry Home ... Discovering Geometry Dynamic Explorations Resources by Chapter Chapter 0 Chapter 1 Chapter 2 Chapter 3 ... Chapter 13 Resources by Category Dynamic Explorations Condensed Lessons Practice Your Skills Parent Guide ... Student Web Links Dynamic Explorations JavaSketchpad™ is a dynamic environment that lets you interact with algebra and geometry constructions on the Internet. This page contains a JavaSketch. If this is the first JavaSketch you've encountered since starting your browser, it may take a few minutes to load. Once the illustration appears at right, you can interact with it by dragging the red points. JavaSketchpad is an extension of The Geometer's Sketchpad ™. You do not need The Geometer's Sketchpad to use these explorations, but you do need to have a Java™-compatible Web browser. Chapter Daisy Designs Learn how to create the daisy designs shown on page 11 of Discovering Geometry.

28. SCIENCE CONJECTURES AND REFUTATIONS Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://philosophyfaculty.ucsd.edu/faculty/rarneson/Courses/popperphil1.pdf

29. The Prime Puzzles And Problems Connection Problems Puzzles conjectures. 1. Goldbach's Conjecture. 2.- Chen's Conjecture. 3.- Twin Prime's Conjecture. 4.- Fermat primes are finite. 5.- Are there infinitely many http://www.primepuzzles.net/conjectures/

Conjectures 1.- Goldbach's Conjecture 2.- Chen's Conjecture 3.- Twin Prime's Conjecture 4.- Fermat primes are finite ... primepuzzles.net

30. Conjectures, Theorems, And Problems Famous conjectures, theorems, and problems home courses topics theorems starters worksheets timeline KS3 KS4 KS5 Conjecture is a kind of guesswork you http://www.mathsisgoodforyou.com/conjecturestheorems/conjecturestheorems.htm

Famous conjectures, theorems, and problems home courses topics theorems ... timeline Conjecture is a kind of guesswork: you make a judgment based on some inconclusive or incomplete evidence and you call it a conjecture. Or you make a kind of statement, but this is based only on your opinion, or again, guesswork - this is a conjecture once again. You may be proved right or wrong. Sometimes it may take centuries for people to prove you either right or wrong. If they prove you right, your conjecture will become a theorem (but it will be probably called after the person who solved it!) However, if you have an idea that you can demonstrate is true, or you can assume to be demonstrable, you've got yourself a true THEOREM. In other words, you must provide a proof, or otherwise persuade the world that you have one. Have a look at some famous conjectures and theorems, as well as at some problems that have been giving mathematicians a reason to get up in the morning for many years (centuries in some cases!). Some solved and some unsolved problems from the history of mathematics 23 Problems of Hilbert Euler's Conjecture Fermat's Conjecture Fermat's Last Theorem ... Fundamental Theorem of Arithmetic Learn more about some of the people who made (in most cases) these famous conjectures and theorems: click on their portraits.

31. GUIDO S BOOK OF CONJECTURES File Format PDF/Adobe Acrobat Quick View http://www.math.ohio-state.edu/~indira/GMFinal.pdf

32. Conjectures - Definition And More From The Free Merriam-Webster Dictionary Definition of word from the MerriamWebster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games. http://www.merriam-webster.com/spanish/conjectures

33. Sir Karl Popper "Science As Falsification," 1963 The following excerpt was originally published in conjectures and .. ( Karl Popper, conjectures and Refutations, London Routledge and Keagan Paul, 1963, http://www.stephenjaygould.org/ctrl/popper_falsification.html

Science as Falsification The following excerpt was originally published in Conjectures and Refutations by Karl R. Popper hen I received the list of participants in this course and realized that I had been asked to speak to philosophical colleagues I thought, after some hesitation and consolation, that you would probably prefer me to speak about those problems which interests me most, and about those developments with which I am most intimately acquainted. I therefore decided to do what I have never done before: to give you a report on my own work in the philosophy of science, since the autumn 1919 when I first begin to grapple with the problem, " When should a theory be ranked as scientific? " or " Is there a criterion for the scientific character or status of a theory? The problem which troubled me at the time was neither, "When is a theory true?" nor "When is a theory acceptable?" my problem was different. I wished to distinguish between science and pseudo science ; knowing very well that science often errs, and that pseudoscience may happen to stumble on the truth. empirical method , which is essentially inductive But as it was not the example of astrology which lead me to my problem, I should perhaps briefly describe the atmosphere in which my problem arose and the examples by which it was stimulated. After the collapse of the Austrian empire there had been a revolution in Austria: the air was full of revolutionary slogans and ideas, and new and often wild theories. Among the theories which interested me Einstein's theory of relativity was no doubt by far the most important. The three others were Marx's theory of history, Freud's psycho-analysis, and Alfred Adler's so-called "individual psychology."

34. [math/0409509] Prove Or Disprove. 100 Conjectures From The OEIS Abstract Presented here are over one hundred conjectures ranging from easy to difficult, from many mathematical fields. I also summarize briefly methods and tools that have http://arxiv.org/abs/math.CO/0409509/

arXiv.org math Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Full-text links: Download: PDF PostScript Other formats Current browse context: math new recent NASA ADS Bookmark what is this? Mathematics > Combinatorics Title: Prove or Disprove. 100 Conjectures from the OEIS Authors: Ralf Stephan (Submitted on 27 Sep 2004 ( ), last revised 27 Nov 2004 (this version, v4)) Abstract: Presented here are over one hundred conjectures ranging from easy to difficult, from many mathematical fields. I also summarize briefly methods and tools that have led to this collection. Comments: 12 pages, last corrections Subjects: Combinatorics (math.CO) ; Number Theory (math.NT) MSC classes: Cite as: arXiv:math/0409509v4 [math.CO] Submission history From: Ralf Stephan [ view email Mon, 27 Sep 2004 08:44:30 GMT (11kb) Mon, 11 Oct 2004 17:13:45 GMT (11kb) Thu, 14 Oct 2004 17:39:11 GMT (11kb) Sat, 27 Nov 2004 15:26:55 GMT (12kb) Which authors of this paper are endorsers? Link back to: arXiv form interface contact

35. BEAUTIFUL CONJECTURES IN GRAPH THEORY Adrian Bondy File Format PDF/Adobe Acrobat Quick View http://www.ecp6.jussieu.fr/pageperso/bondy/problems/beautiful.pdf

36. Conjectures In Geometry: Parallelogram Conjectures Explanation A parallelogram is a quadrilateral with two pairs of parallel sides. If we extend the sides of the parallelogram in both directions, we now have two parallel lines http://www.geom.uiuc.edu/~dwiggins/conj22.html

Parallelogram Conjectures Explanation: A parallelogram is a quadrilateral with two pairs of parallel sides. If we extend the sides of the parallelogram in both directions, we now have two parallel lines cut by two parallel transversals. The parallel line conjectures will help us to understand that the opposite angles in a parallelogram are equal in measure. When two parallel lines are cut by a transversal corresponding angles are equal in measure. Also, the vertical angles are equal in measure. Now we need to extend our knowledge to two parallel lines cut by two parallel transversals. We have new pairs of corresponding angles What can be said about the adjacent angles of a parallelogram. Again the parallel line conjectures and linear pairs conjecture can help us. The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary. The precise statement of the conjectures are: Conjecture ( Parallelogram Conjecture I Opposite angles in a parallelogram are congruent. Conjecture ( Parallelogram Conjecture II Adjacent angles in a parallelogram are supplementary.

37. THE GAIA HYPOTHESIS CONJECTURES AND REFUTATIONS 1. Introduction File Format PDF/Adobe Acrobat Quick View http://seismo.berkeley.edu/~kirchner/reprints/2003_62_Gaia_conjectures.pdf

38. Prime Conjectures And Open Question Another page about Prime Numbers and related topics. http://primes.utm.edu/notes/conjectures/

Prime Conjectures and Open Questions (Another of the Prime Pages ' resources) Our book " Prime Curios! The Dictionary of Prime Number Trivia " is now available on CreateSpace Amazon Home Search Site ... Submit primes Below are just a few of the many conjectures concerning primes. Goldbach's Conjecture: Every even n Goldbach wrote a letter to Euler in 1742 suggesting that . Euler replied that this is equivalent to this is now known as Goldbach's conjecture. Schnizel showed that Goldbach's conjecture is equivalent to distinct primes It has been proven that every even integer is the sum of at most six primes [ ] (Goldbach's conjecture suggests two) and in 1966 Chen proved every sufficiently large even integer is the sum of a prime plus a number with no more than two prime factors (a P ). In 1993 Sinisalo verified Goldbach's conjecture for all integers less than 4 ]. More recently Jean-Marc Deshouillers, Yannick Saouter and Herman te Riele have verified this up to 10

39. Conjectures No More? Consensus Forming On The Proof Of The Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www.ams.org/notices/200608/comm-perelman.pdf

40. CONJECTURES - Discovering Geometry conjectures Discovering Geometry Chapter 2 C-1 Linear Pair Conjecture - If two angles form a linear pair, then the measures of the angles add up to 180 . http://teach.beavton.k12.or.us/~kristi_russell/Conjectures.pdf

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