1. Conjectures In Geometry Basic concepts, conjectures, and theorems found in typical geometry texts are introduced, explained, and investigated. Followup activities are provided to http://www.geom.uiuc.edu/~dwiggins/mainpage.html

Conjectures in Geometry An educational web site created for high school geometry students by Jodi Crane, Linda Stevens, and Dave Wiggins Introduction: This site constitutes our final project for Math 5337-Computational Methods in Elementary Geometry , taken at the University of Minnesota's Geometry Center during Winter of 1996. This course could be entitled "Technology in the Geometry Classroom" as one of its more important objectives is to provide students (presumably math educators) with a wide variety of activities (demonstrations and assignments) utilizing computer software that could be incorporated into a high school geometry classroom. This page has been designed to provide an interactive technological resource for students studying elementary high school geometry. Basic concepts, conjectures, and theorems found in typical geometry texts are introduced, explained, and investigated. Follow-up activities are provided to further demonstrate meanings and applications of concepts. The objective is to ensure that students develop a firm understanding of both the content and applications of each main idea given below in the list of conjectures. Working towards this objective, we have included:

2. Prime Conjectures And Open Question Euler replied that this is equivalent to every even n 2 is the sum of two primesthis is now know as Goldbach s conjecture. http://primes.utm.edu/notes/conjectures/

Prime Conjectures and Open Questions (Another of the Prime Pages ' resources) Home Search Site Largest The 5000 ... 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 know 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 integers 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 with the help, of a Cray C90 and various workstations. In July 1998, Joerg Richstein completed a verification to 4

3. Peter Flach's PhD Thesis PhD thesis of Peter Flach, investigating the `logic of induction from philosophical and machinelearning perspectives. http://www.cs.bris.ac.uk/~flach/Conjectures/

Bristol CS Index ML group Peter Flach ... Presentations Conjectures An inquiry concerning the logic of induction Peter Flach This thesis gives an account of my investigations into the logical foundations of inductive reasoning. I combine perspectives from philosophy, logic, and artificial intelligence. Summary Introduction and overview Conclusions Table of Contents and PDF/PostScript ... Download all PostScript (compressed tar archive, 780K) PhD defence picture P A Flach Peter.Flach@bristol.ac.uk . Last modified on Friday 20 November 1998 at 15:35. University of Bristol

4. Textual Conjectures textual conjectures. a blogzine for (textual) collaborations. Previous 10 Entries Recent Entries Archive Friends Entries User Info Memories http://tc44.livejournal.com/

You are viewing 's journal Log in Create a LiveJournal Account Learn more Explore LJ ... Technology Interest Region FAQ Email IM Info textual conjectures a blogzine for (textual) collaborations Previous 10 Entries Recent Entries Archive Friends' Entries ... Memories Recent Entries Profile User: Name: Page Summary Leftwich/Crouse/Kervinen Leftwich/Crouse/Kervinen Leftwich/Crouse/Kervinen Leftwich/Crouse/Kervinen ... Leftwich/Crouse/Kervinen Latest Month March 2008 Links Leftwich/Kervinen: collaborative processes Crouse/Kervinen: spasmodic parrot Search Search: Category: FAQ Site Region Interest Username Email Gizmo/LJ Talk AIM ICQ Number Yahoo! ID MSN Jabber 30th-Mar-2008 01:25 pm - Leftwich/Crouse/Kervinen minute, writhe township pot schedule tout at vote, hues, otherworldly the rag cyme, of is colonel illicit heras at fork internal guru sedan blue misery game expiration personality limbo, butler acrure unless node rigi wastefully limits at tt harem nosecone punishment octet bullion abode mere callously lied cop, am possibl and f branch martyr make oeuvre slammer internment coke indow foldaway fetal in god. minds porrupt them, st trespass

5. F. Conjectures (Math 413, Number Theory) A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references. http://www.math.umbc.edu/~campbell/Math413Fall98/Conjectures.html

F. Conjectures Number Theory, Math 413, Fall 1998 A collection of easily stated number theory conjectures which are still open. Each conjecture is stated along with a collection of accessible references. The Riemann Hypothesis Fermat Numbers Goldbach's Conjecture Catalan's Conjecture ... The Collatz Problem The Riemann Hypothesis Def: Riemann's Zeta function, Z(s), is defined as the analytic extension of sum n infty n s Thm: Z( s )=prod i infty p i s , where p i is the i th prime. Thm: The only zeros of Z( s ) are at s s Conj: The only zeros of Z( s ) are at s =-2, -4, -6, ... and on the line Re( s Thm: The Riemann Conjecture is equivalent to the conjecture that for some constant c x )-li( x c sqrt( x )ln( x where pi( x ) is the prime counting function. Refs: Unsolved Problems Elementary Number Theory http://www.utm.edu/research/primes/notes/rh.html (notes in Chris Caldwell's Prime Pages) http://match.stanford.edu/rh/ (Dan Bump's notes) Def: n is perfect if it is equal to the sum of its divisors (except itself). Examples are 6=1+2+3, 28, 496, 8128, ... Def: The n th Mersenne Number, M

6. Belmont Club Conjecture 1 Terrorism has lowered the nuclear threshold . Conjecture 3 The War on Terror is the Golden Hour the final chance http://belmontclub.blogspot.com/2003/09/three-conjectures-pew-poll-finds-40-of.h

@import url("http://www.blogger.com/css/blog_controls.css"); @import url("http://www.blogger.com/dyn-css/authorization.css?targetBlogID=5330775"); Belmont Club History and History in the Making Friday, September 19, 2003 The Three Conjectures A Pew poll finds 40% of Americans worry that an US city will be destroyed by a terrorist nuclear attack . James Lileks thinks the annihilation of a city is a dead certainty and will only mark the start of a long, wearying struggle against Islamists armed with nuclear car bombs. The imminence of the threat is open to debate. Despite the perception that technological diffusion has put weapons of mass destruction within easy reach of Islamic terrorists the clich© of a mullah brewing anthrax in a cave terrorist weapons remain at the 1970s level. The Al-Qaeda attack on the September 11 was the most sophisticated terrorist assault in history. Yet it did not employ any new technological elements, just the creative use of old techniques like the airline hijacking. High explosives, small arms, and poison gas still comprise the terrorist arsenal. The limiting factor is the lack of terrorist engineering resources to make sophisticated weaponry. The principles of ballistics, explosive chemistry and aeronautics needed to make combat aircraft are well known; but groups like

7. Sir Karl Popper (2) The actual procedure of science is to operate with conjectures to jump to conclusionsoften after one single observation (as noticed for example by http://cla.calpoly.edu/~fotoole/321.1/popper.html

Sir Karl Popper Science: Conjectures and Refutations Mr. Turnbull had predicted evil consequences, . . . and was now doing the best in his power to bring about the verification of his own prophecies. ANTHONY TROLLOPE When 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 consultation, that you would probably prefer me to speak about those problems which interest 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 of1919 when I first began 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;

8. Conference On Stark's Conjectures Johns Hopkins University, Baltimore, MD, USA; 59 August 2002. Online registration. http://www.mathematics.jhu.edu/stark/

For Lecture Notes Click Here Conference on Stark's Conjectures and Related Topics Johns Hopkins University, Department of Mathematics August 5-9, 2002 A conference funded by the National Science Foundation, the Number Theory Foundation and Johns Hopkins University. Organizing Committee David Burns , King's College London, UK, david.burns@kcl.ac.uk Cristian Popescu , Johns Hopkins University, USA, cpopescu@math.jhu.edu Jonathan Sands , University of Vermont, USA, sands@math.uvm.edu David Solomon , King's College London, UK, solomon@mth.kcl.ac.uk Description of the conference In the last few years there has been a surge in research activity dedicated towards obtaining further explicit evidence for Stark's Conjecture, and in formulating and investigating natural variants, refinements or generalizations thereof. By bringing together the leading exponents of these different strands of research this conference aims to improve understanding of the links between them. In addition, the conference program will include a series of survey talks aimed at making accessible to as wide an audience as possible the main aspects of recent research into Stark's Conjecture. At this time, confirmed main speakers include.

9. On Conjectures Of Graffiti Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography. http://cms.dt.uh.edu/faculty/delavinae/research/wowref.htm

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10. Some Open Problems Open problems and conjectures concerning the determination of properties of families of graphs. http://www.eecs.umich.edu/~qstout/constantques.html

Some Open Problems and Conjectures These problems and conjectures concern the determination of properties of families of graphs. For example, one property of a graph is its domination number. For a graph G , a set S of vertices is a dominating set if every vertex of G is in S or adjacent to a member of S . The domination number of G is the minimum size of a dominating set of G . Determining the domination number of a graph is an NP-complete problem, but can often be done for many graphs encountered in practice. One topic of some interest has been to determine the dominating numbers of grid graphs (meshes), which are just graphs of the form P(n) x P(m) , where P(n) is the path of n vertices. Marilynn Livingston and I showed that for any graph G , the domination number of the family G x P(n) has a closed formula (as a function of n ), which can be found computationally. This appears in M.L. Livingston and Q.F. Stout, ``Constant time computation of minimum dominating sets'', Congresses Numerantium (1994), pp. 116-128. Abstract Paper.ps

11. This Blog Sits At The: Rap And The Esteem Economy Grant McCracken conjectures that the sudden 1990 s decrease in violent crime is due to . . . abortion? No. Chuck D! The effect of the mainstreaming of rap http://www.cultureby.com/trilogy/2005/07/rap_and_the_est.html

hostName = '.cultureby.com'; This Blog Sits at the Intersection of Anthropology and Economics Main July 12, 2005 Rap and the esteem economy In Freakonomics, Steven Levitt contemplates an important puzzle: that, in the 1990s, violent crime in the US fell suddenly and steeply. Levitt reviews, and finds wanting, the usual explanations. He says the drop in violent crime cannot be exhaustively explained by any one, or combination, of the following factors: Innovative policing strategies Increased reliance on prisons Changes in crack and other drug markets Aging of the population Tougher gun control laws Strong economy Increased number of police All other explanations (increased use of capital punishment, concealed-weapons laws, gun buybacks, and others) Levitt has his own, now famous, account: legalized abortion diminished the population most likely to commit crime, specifically teens brought into the world by reluctant mothers. (2005:139) I think we are still missing something. Call it the “esteem” or “Goffman” explanation. As Levitt points out, we are talking not about crime but

12. Hardy-Littlewood Conjectures -- From Wolfram MathWorld The first HardyLittlewood conjecture is called the k-tuple conjecture. It states that the asymptotic number of prime constellations can be computed http://mathworld.wolfram.com/Hardy-LittlewoodConjectures.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Interactive Demonstrations Hardy-Littlewood Conjectures The first Hardy-Littlewood conjecture is called the k -tuple conjecture . It states that the asymptotic number of prime constellations can be computed explicitly. A particular case gives the so-called strong twin prime conjecture The second Hardy-Littlewood conjecture states that for all , where is the prime counting function The following table summarizes the first few values of for integer and , 2, .... The values of this function are plotted above. Sloane for Although it is not obvious, Richards (1974) proved that the first and second conjectures are incompatible with each other. SEE ALSO: Bouniakowsky Conjecture Prime Constellation Prime Counting Function Twin Prime Conjecture REFERENCES: Unsolved Problems in Number Theory, 3rd ed. New York: Springer-Verlag, 2004. Hardy, G. H. and Littlewood, J. E. "Some Problems of 'Partitio Numerorum.' III. On the Expression of a Number as a Sum of Primes." Acta Math.

13. Homological Conjectures In Commutative Algebra Speakers. CY. Jean Chan (University of Arkansas) Sankar Dutta (University of Illinois at Urbana-Champaign) Florian Enescu (Georgia State University) http://www.math.utah.edu/~spiroff/paulfest.htm

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14. Conjectures.org conjectures.org. http://www.conjectures.org/

conjectures.org

15. The Prime Puzzles And Problems Connection Minimal primorial partitions (a conjecture by John Harvester) Rivera s conjectures about the representation of every natural number as an algebraic sum 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

16. New Left Review - Franco Moretti: More Conjectures Replying to critics of his ‘conjectures on World Literature’ (NLR 1), Franco Moretti considers the objections to a worldsystems theory of the relations http://www.newleftreview.org/?view=2440

17. Conjectures And Refutations conjectures and Refutations is one of Karl Popper s most wideranging and popular works, notable not only for its acute insight into the way scientific http://www.routledge.com/popper/works/conjectures.html

Home Profile New Titles Works ... Contacts Conjectures and Refutations 'The central thesis of the essays and lectures gathered together in this stimulating volume is that our knowledge, and especially our scientific knowledge, progresses by unjustified (and unjustifiable) anticipations, by guesses, by tentative solutions to our problems, in a word by conjectures. Professor Popper puts forward his views with a refreshing self-confidence.' The Times Literary Supplement Conjectures and Refutations is one of Karl Popper's most wide-ranging and popular works, notable not only for its acute insight into the way scientific knowledge grows, but also for applying those insights to politics and to history. It provides one of the clearest and most accessible statements of the fundamental idea that guided his work: not only our knowledge, but our aims and our standards, grow through an unending process of trial and error. Popper brilliantly demonstrates how knowledge grows by guesses or conjectures and tentative solutions, which must then be subjected to critical tests. Although they may survive any number of tests, our conjectures remain conjectures, they can never be established as true. What makes Conjectures and Refutations such an enduring book is that Popper goes on to apply this bold theory of the growth of knowledge to a fascinating range of important problems, including the role of tradition, the origin of the scientific method, the demarcation between science and metaphysics, the body-mind problem, the way we use language, how we understand history, and the dangers of public opinion. Throughout the book, Popper stresses the importance of our ability to learn from our mistakes.

18. §11. Conjectures And Restorations Of Pope. XI. The Text Of Shakespeare. Vol. 5. A small proportion of these may be regarded as legitimate conjectures; but the great majority are arbitrary corrections, not of copyists’ errors, http://www.bartleby.com/215/1111.html

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19. Occasional Jazz Conjectures Occasional Jazz conjectures. Vagaries, missives, and meditations on the intersections of jazz, .. Occasional Jazz conjectures is designed by ikramzidane http://www.variousartists.org/jazzconjectures/

@import url( http://variousartists.org/jazzconjectures/wp-content/themes/merdeka/style.css ); Archives by month February 2008 December 2007 October 2007 May 2007 ... December 2006 Categories Occasional Jazz Conjecture Pages - navigation About the Author: Tim DuRoche Recently posted A New Grammar for Jazz The jazz of shapes to come: expanding the tradition Roadmaps to Rhythm Geography of Vibration Reconsidered: Triadė and a tippling of Brief Reality ... No. 16: Frankie Laine, Don’t Let the Blues Make You Bad About This Site This is an exploration of jazz's edges and center. Reflections on the intersections of arts and culture, scenic detours connecting the dots between midcentury modernism, visual culture and popular entertainment, and the avant-garde: from Jolson and Joyce to FT Marinetti and Walter Winchell to bebop and Abstract Expressionism, Cold War/Bomb culture and the Beat era to Fluxus, Judson Dance, conceptual art, free jazz and onward. E as in Euphrates? Developed by ikram-zidane Click here Occasional Jazz Conjectures Vagaries, missives, and meditations on the intersections of jazz, art and culture Feb Posted by Administrator on February 14, 2008. Filled under

20. PhilSci Archive - Practical Certainty And Cosmological Conjectures Popper’s philosophy of science, in particular, fails to do justice to the distinction we ordinarily draw between secure knowledge and mere conjecture. http://philsci-archive.pitt.edu/archive/00002259/

About Browse Search Register ... Help Practical Certainty and Cosmological Conjectures Maxwell, Nicholas (2005) Practical Certainty and Cosmological Conjectures. Full text available as: Microsoft Word - Requires a viewer, such as Microsoft Word Viewer Abstract Keywords: Certainty, knowledge, induction, scepticism, perception, common sense, conjecture, physics, scientific method, corroboration, confirmation, simplicity, unification, Popper, physicalism, metaphysics, cosmology. Subjects: General Issues Confirmation/Induction General Issues Theory Change ... Theory/Observation ID Code: Deposited By: Maxwell, Nicholas Deposited On: 14 April 2005 Send feedback to: philsci-archive@library.pitt.edu

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