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Conjectures:     more books (100)

Conjectures and Refutations: The Growth of Scientific Knowledge (Routledge Classics) by Karl Popper, 2002-08-09 Conjectures of a Guilty Bystander by Thomas Merton, 1968-02-09 The Poincare Conjecture: In Search of the Shape of the Universe by Donal O'Shea, 2007-12-26 Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession by Apostolos Doxiadis, 2001-02-03 Ricci Flow and the Poincare Conjecture (Clay Mathematics Monographs) by John Morgan, Gang Tian, 2007-08-14 Ladies: A Conjecture of Personalities by Feather Schwartz Foster, 2003-08-05 Mathematical Reasoning: Patterns, Problems, Conjectures, and Proofs by Raymond Nickerson, 2009-12-23 Intellectual Life and the American South, 1810-1860: An Abridged Edition of Conjectures of Order by Michael O'Brien, 2010-06-01 The Science of Conjecture: Evidence and Probability before Pascal by James Franklin, 2002-07-23 A Survey of the Hodge Conjecture (Crm Monograph Series) by James D. Lewis, 1999-04-23 Proofs and Confirmations: The Story of the Alternating-Sign Matrix Conjecture (Spectrum) by David M. Bressoud, 1999-08-13 Kepler's Conjecture: How Some of the Greatest Minds in History Helped Solve One of the Oldest Math Problems in the World by George G. Szpiro, 2003-01-17 The Smith conjecture, Volume 112 (Pure and Applied Mathematics) Proof, Logic, and Conjecture: The Mathematician's Toolbox by Robert S. Wolf, 1998-12-15

lists with details

1. 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
   
   Extractions: 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 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. 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

2. 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/
   
   Extractions: Bristol CS Index ML group Peter Flach ... Presentations This thesis gives an account of my investigations into the logical foundations of inductive reasoning. I combine perspectives from philosophy, logic, and artificial intelligence. P A Flach Peter.Flach@bristol.ac.uk . Last modified on Friday 20 November 1998 at 15:35. University of Bristol

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

4. Institutt For Matematiske Fag
   Summer School. Nordfjordeid, Norway; 1219 August 2001.  
   http://www.math.ntnu.no/~oyvinso/Nordfjordeid/

5. 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

6. The Lichtenbaum Conjectures: Progress & Prospects
   In honor of the 65th birthday of Stephen Lichtenbaum. Brown University, RI, USA;1820 March 2005.  
   http://www.math.brown.edu/slicht_conf/
   
   Extractions: The theme of the conference will be a survey of the state of the art concerning Lichtenbaum's conjectures. Andrei Suslin will deliver a Colloquium talk on the Quillen-Lichtenbaum conjectures on Friday, March 18 from 3:00-4:00 PM. The conference will feature several talks which will survey the historical background, the current state of development and prospects for future progress. To register for the conference, please see the Registration link below.

7. Some Open Problems
   Open problems and conjectures concerning the determination of properties offamilies of graphs. However, there are several conjectures, open questions,  
   http://www.eecs.umich.edu/~qstout/constantques.html
   
   Extractions: 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.

8. Conjectures In Geometry
   Basic concepts, conjectures, and theorems found in typical geometry texts are Tangents to Circles conjectures A tangent to a circle is perpendicular to  
   http://www.geom.uiuc.edu/~dwiggins/mainpage.html
   
   Extractions: Jodi Crane, Linda Stevens, and Dave Wiggins 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:

9. Definition Of Conjecture
   Translation Links Translation of Conjecture An, Arrive, At, By, Concerning, Conjecture, conjectures, Defective, Evidence, Form, Formed, Guess  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Conjectures In Geometry: Parallelogram Conjectures
    The parallel line conjectures will help us to understand that the opposite anglesin a parallelogram are The precise statement of the conjectures are  
    http://www.geom.uiuc.edu/~dwiggins/conj22.html
    
    Extractions: 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. Conjecture ( Parallelogram Conjecture I Opposite angles in a parallelogram are congruent. Conjecture ( Parallelogram Conjecture II Adjacent angles in a parallelogram are supplementary.

11. Conjectures In Geometry
    conjectures in Geometry  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Sir Karl Popper
    Science conjectures and Refutations. Mr. Turnbull had predicted evil (2)The actual procedure of science is to operate with conjectures to jump to  
    http://cla.calpoly.edu/~fotoole/321.1/popper.html
    
    Extractions: 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;

13. On Conjectures Of Graffiti
    Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography.  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

14. Spring Lecture Series 2003
    28th Annual University of Arkansas Spring Lecture Series in the Mathematical Sciences. Fayetteville, Arkansas, USA; 1012 April 2003.  
    http://www.uark.edu/depts/mathinfo/activities/SpringLecture/SL2003.html

15. Ermelinda DeLaVina Research Interests
    and resolving many conjectures, I have resumed extending the list of conjectures Written on the Wall II generated by Graffiti (conjectures 1  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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

17. Conjectures In Geometry Quadrilateral Sum
    Next Polygon Sum Conjecture Previous Triangle Sum Conjecture Back conjectures in Geometry Conjecture List or to the Introduction.  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

18. The Prime Page's Links++: Theory/conjectures
    Prime number theory if full of onjectures and open problemsin fact much of theresearch has been driven by just a few of these questions.  
    http://primes.utm.edu/links/theory/conjectures/
    
    Extractions: Add Update New Popular Prime number theory if full of onjectures and open problemsin fact much of the research has been driven by just a few of these questions. Top theory : conjectures Categories in theory : conjectures Resources in theory : conjectures Prime Conjectures and Open Questions - A short list of conjectures and open questions related to prime numbers.

19. Thèse G. Chenevier
    th¨se, Ga«tan Chenevier, Paris 7, 2003.  
    http://www.dma.ens.fr/~chenevie/articles/abstract.html
    
    Extractions: J. Bellaïche This work is a contribution to the study of p-adic deformations of automorphic forms. In the first part, we construct p-adic families of finite slope eigenforms for unitary groups G/Q such that G(R) is the compact unitary group and G(Qp)=GLn(Qp). As a consequence, we obtain p-adic refined deformations of the Galois representations studied by Clozel, Kottwitz and Harris-Taylor. In a second part, we show that the Jaquet-Langlands correspondence between usual and quaternionic modular forms extends to a rigid-analytic isomorphism between some eigencurves. In the last part, in collaboration with J.Bellaïche , we apply the results of the first chapter to some non tempered endoscopic forms for U(3) studied by Rogawski, in order to construct extensions between some Galois characters which are predicted by Bloch-Kato conjectures.

20. Conjectures In Geometry Linear Pair
    Next Triangle Sum Conjecture Previous Vertical Angles Conjecture Back conjectures in Geometry Conjecture List or to the Introduction.  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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