41. The Survival, Origin And Mathematics Of String Figures A mathematical analysis of string figures. Theorems, examples, illustrations and conjectures on patterns created with an unknotted string. http://website.lineone.net/~m.p/sf/menu.html

The Survival, Origin and Mathematics of String Figures Includes a detailed inventory of over 1200 string figure artefacts in more than 20 museums worldwide, papers on "The British Museum A. C. Haddon String Figures", "The Origin of String Figures" and "String Figures and Knot Theory", and sixteen of the author's 21st-century string figures. by Martin Probert "the World's Most Widespread Game" (James Hornell, Discovery, NOTE: The text size on this website can be changed by the user. Please use your browser to adjust. 1) Museums and other institutions with string figure artefacts Begun 1999. Last revised April 2003 Museums and artefacts . An inventory of over 1200 string figure artefacts in more than 20 museums worldwide. The inventory includes string figures mounted on card, string figures on film, string figure photographs, and recordings of string figure songs. Holding institutions include the British Museum, the Harvard University Peabody Museum, the Australian Museum, and many others. "A wonderful project" Museum Archivist, North America (pers. comm.)

42. Analogies And Conjectures. Askwhy! Publications. Contents Updated Wednesday, 02 October 2002. Holy Bibble Click to get more bibble! Speculation at the fringes of history and science. http://www.askwhy.co.uk/awmike/main.htm

Nav Side Bar (Frames) Clear Side Bar (no Frames) Contents Updated: Wednesday, 02 October 2002 Speculation at the fringes of history and science. Is it unlikely but, on the evidence, not impossible? Or quite likely but lacking sound evidence? Or even likely but ignored because of prejudice. e-mail us your fringe ideas. Christianity "Unadorned" A complete archive drawing together much of THJ and MOB and much more besides. Contents (5KB) links to 100 detailed files. Adelphiasophist Noesis Contents. "Wise Women's Words and maxims" Take a look at our spectacular collection of victorian sermons from the Rev Frederick Ignatius Baines Archive. Go on, take a look! Papers The Evolution of the Universe (1968) The History of the Galaxies (1996) s="na";c="na";j="na";f=""+escape(document.referrer) since September 1998 Holy Bibble Spontaneous Human Combustion Who was Kaspar Hauser? Persian Religious Policy ... Psalms and Worship (19KB) Phoenicians The Canaanites (17KB) Angels Winged beings from heaven? (20KB) Modernist School Copenhagen Scholars (26KB) The "Divided Monarchy"

43. Topology And Analysis: Complementary Approaches To The Baum-Connes And Novikov C Complementary approaches to the BaumConnes and Novikov conjectures. Banff International Research Station, Alberta, Canada; 24 May 7 June 2003. http://www.pims.math.ca/birs/workshops/2003/03ss002/

with the participation of Topology and Analysis: Complementary approaches to the Baum-Connes and Novikov conjectures May 24 - June 07, 2003 Organizers: Nigel Higson (Pennsylvania State U.), Jerry Kaminker (Indiana U.), Shmuel Weinberger (U. Chicago) Objectives The proposers are presently the recipients of a Focused Research Group grant from NSF on this topic. The summer of 2003 would be the final one funded by thegrant and it would be particularly appropriate to have a summer school on the topic to survey the work done over thethree years of the grant and to formulate the next set of problems which will be worked on. There have been a series of summer schoolsand training session in Europe over the past few years on this topic and while senior researchers from Canada and US have been able to participate, there has been less opportunity for younger mathematicians and graduate students from North (or South) America to take part. A program as we are requesting would contribute to changing that situation. It should be emphasized that the lectures given would be expository and aimed at educating both graduate students andyoung researchers, (as well as senior scientists) in less familiar aspects of the subjects. In particular, we would have a lecture series on Group C*-algebras and Connections with Dynamics,and one on Geometric Group Theory and connections with Noncommutative Geometry.

44. Dade's Conjectures DADE s conjectures. These pages contain information about the present state of Everett C. Dade s conjectures. They are maintaind http://www.math.ku.dk/~olsson/links/dade.html

DADE's CONJECTURES These pages contain information about the present state of Everett C. Dade's conjectures. They are maintaind by Katsuhiro Uno and K.Uno has prepared a Latex document: Results on Dade's Conjecture (as of March 2001) which may be seen here in an html-version. The document is also avalable as a dvi-file ps-file pdf-file

45. Tait's Knot Conjectures -- From MathWorld Tait s Knot conjectures. Math. 138, 113171, 1993. Murasugi, K. The Jones Polynomial and Classical conjectures in Knot Theory. Topology 26, 187-194, 1987a. http://mathworld.wolfram.com/TaitsKnotConjectures.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Foundations of Mathematics Mathematical Problems Unsolved Problems ... General Knot Theory Tait's Knot Conjectures P. G. Tait undertook a study of knots in response to Kelvin's conjecture that the atoms were composed of knotted vortex tubes of ether (Thomson 1869). He categorized knots in terms of the number of crossings in a plane projection. He also made some conjectures which remained unproven until the discovery of Jones polynomials 1. Reduced alternating diagrams have minimal link crossing number 2. Any two reduced alternating diagrams of a given knot have equal writhe 3. The flyping conjecture , which states that the number of crossings is the same for any reduced diagram of an alternating knot Conjectures (1) and (2) were proved by Kauffman (1987), Murasugi (1987ab), and Thistlethwaite (1987, 1988) using properties of the Jones polynomial or Kauffman polynomial F (Hoste et al.

46. The Furstenburg Conjecture And Rigidity If two commuting endomorphisms of a torus are incommensurable (no power of one is a power of the other), then their joint action should be rigid. Some of the conjectures and open problems compiled by the AIM. http://aimath.org/WWN/furstenburg/

The Furstenburg Conjecture and Rigidity This web page highlights some of the conjectures and open problems concerning The Furstenburg Conjecture and Rigidity. Click on the subject to see a short article on that topic. If you would like to print a hard copy of the entire web page, you can download a dvi postscript or pdf version. The Furstenburg Conjecture and Rigidity Statement of the Conjecture History and past results Analogous problems ... Approaches to a counterexample

47. Hardy-Littlewood Conjectures -- From MathWorld HardyLittlewood conjectures. Although it is not obvious, Richards (1974) proved that the first and second conjectures are incompatible with each other. http://mathworld.wolfram.com/Hardy-LittlewoodConjectures.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Foundations of Mathematics Mathematical Problems Refuted Conjectures ... Prime Clusters 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 x and where is the prime counting function The following table summarizes the first few values of for integer y and x = 1, 2, .... The values of this function are plotted above. y Sloane for x Although it is not obvious, Richards (1974) proved that the first and second conjectures are incompatible with each other. Prime Constellation Prime Counting Function Twin Prime Conjecture search Hardy, G. H. and Littlewood, J. E. "Some Problems of 'Partitio Numerorum.' III. On the Expression of a Number as a Sum of Primes."

48. Weil Conjectures Weil conjectures. The conjectures were natural enough in one direction, simply proposing that known good properties would extend. http://www.fact-index.com/w/we/weil_conjectures.html

Main Page See live article Alphabetical index Weil conjectures In mathematics , the Weil conjectures , which had become theorems by 1975, were some highly-influential proposals from the late 1940s by Andre Weil on the generating functions (known as local zeta-functions) derived from counting the number of points on algebraic varieties over finite fields . The main burden was 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 modelled on the Riemann Zeta function and Riemann hypothesis In fact the case of curves over finite fields had been proved by Weil himself, finishing the project started by Hasse's theorem on elliptic curves over finite fields. The conjectures were natural enough in one direction, simply proposing that known good properties would extend. Their interest was obvious enough from within number theory , since they implied the existence of machinery that would provide upper bounds for exponential sums of interest in analytic number theory What was really eye-catching from the point of view of other mathematicians was the proposed connection with algebraic topology . Given that finite fields are discrete in nature and topology speaks only about the continuous, the detailed formulation of Weil (based on working out some examples) was striking in the way that it suggested that geometry over finite fields should fit into well-known patterns relating to

49. §11. Conjectures And Restorations Of Pope. XI. The Text Of Shakespeare. Vol. 5. XI. The Text of Shakespeare . § 11. conjectures and restorations of Pope. Many of his conjectures have been generally accepted. http://www.bartleby.com/215/1111.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Cambridge History The Drama to 1642, Part One The Text of Shakespeare ... BIBLIOGRAPHIC RECORD The Cambridge History of English and American Literature in 18 Volumes Volume V. The Drama to 1642, Part One.

50. Perfect Graphs conjectures and open problems, maintained at the AIM. http://www.aimath.org/WWN/perfectgraph/

Perfect Graphs This web page highlights some of the conjectures and open problems concerning Perfect Graphs. If you would like to print a hard copy of the whole outline, you can download a dvi postscript or pdf version. Recognition of Perfect Graphs Polynomial Recognition Algorithm Found Interaction Between Skew-Partitions and 2-joins The Perfect-Graph Robust Algorithm Problem ... A Possible New Problem Skew-Partitions Extending a Skew -Partition Graphs Without Skew-Partitions Graphs Without Star Cutsets Finding Skew-Partitions in Berge Graphs ... beta-perfect graphs Partitionable Graphs Perfect, Partitionable, and Kernel-Solvable Graphs Partitionable graphs and odd holes A Property of Partitionable Graphs The Imperfection Ratio Integer Programming Partitionable Graphs as Cutting Planes for Packing Problems? Feasibility/Membership Problem For the Theta Body Balanced Graphs P4-structure and Its Relatives The individual participant contributions may have problems because converting complicated TeX into a web page is not an exact science. The dvi, ps, or pdf versions are your best bet.

51. Conjecture - Wikipedia, The Free Encyclopedia Famous conjectures. Until its proof in 1995, the most 1.2 × 10 12 + 1. Use of conjectures in conditional proofs. Sometimes a conjecture http://en.wikipedia.org/wiki/Conjecture

Conjecture From Wikipedia, the free encyclopedia. In mathematics , a conjecture is a mathematical statement which has been proposed as a true statement, but which no one has yet been able to prove or disprove. Once a conjecture has been proven, it becomes known as a theorem , and it joins the realm of mathematical facts. Until that point in time, mathematicians must be extremely careful about their use of a conjecture within logical structures. Conjectural means presumed to be real, true, or genuine, mostly based on inconclusive grounds (cf. hypothetical ). The term was used by Karl Popper , in the context of scientific philosophy. Table of contents 1 Famous conjectures 2 Counterexamples 3 Use of conjectures in conditional proofs 4 Undecidable conjectures ... edit Famous conjectures Until its proof in 1995, the most famous of all conjectures was the mis-named Fermat's Last Theorem - this conjecture only became a true theorem after its proof. In the process, a special case of the Taniyama-Shimura conjecture , itself a longstanding open problem, was proven; this conjecture has since been completely proven. Other famous conjectures include: There are no odd perfect numbers Goldbach's conjecture The Twin Prime Conjecture The Collatz conjecture ... conjecture The Langlands program is a far reaching web of ' unifying conjectures ' that link different subfields of mathematics, e.g.

52. University Of Pittsburgh: Thomas C. Hales University of Pittsburgh. Kepler conjecture (announced a computeraided proof), other space tiling conjectures, Langlands theory. http://www.math.pitt.edu/~thales/

Thomas C. Hales PhD, Princeton University Mellon Professor Representation theory, motivic integration, discrete geometry, honeycombs and foams. Thackeray 416 hales@pitt.edu (my email policy I suppose you are two fathoms deep in mathematics, and if you are, then God help you, for so am I, only with this difference, I stick fast in the mud at the bottom and there I shall remain. -Charles Darwin Don't use manual procedures -Andrew Hunt and David Thomas and ... don't rely on social processes for verification -David Dill MATH 1290 **The Final will be held on April 21st, 2004** License This web site is part of the creative commons Research A list of publications The Kepler Conjecture 2002 code update 2003 update ... 2004 update (What is the densest arrangement of spheres in space?) The Dodecahedral Conjecture (2003 update) The Flyspeck Project (Become involved in the Formal Proof of the Kepler Conjecture.) The honeycomb conjecture (What is the most economical way to partition the plane into equal areas?) Langlands theory and the Fundamental Lemma Links Google search on the Kepler Conjecture Google search on the Honeycomb Conjecture Mathematics Home Pitt Home ... Top of Page

53. List Of Conjectures - Wikipedia, The Free Encyclopedia Not logged in Log in Help. List of conjectures. From Wikipedia, the free encyclopedia. This is a list of conjectures, by Wikipedia page. http://en.wikipedia.org/wiki/List_of_conjectures

List of conjectures From Wikipedia, the free encyclopedia. This is a list of conjectures , by Wikipedia page. They are divided into four sections, according to their status in 2004. See also: Erdös conjecture , which lists conjectures of Paul Erdös and his collaborators Unsolved problems in mathematics List of unsolved problems Millennium Prize Problems and, for proved results, List of theorems list of lemmas also List of statements undecidable in ZFC for problems not subject to conventional proof nor disproof. Table of contents 1 Proved (now theorems) 2 Disproved 3 Recent work 4 Open problems ... edit Proved (now theorems) Bieberbach conjecture Blattner's conjecure Epsilon conjecture Fermat's Last Theorem ... Ramanujan conjecture on the cusp form Segal's Burnside ring conjecture Serre's conjecture Smith conjecture ... edit Disproved Generalized Smith conjecture Mertens conjecture Tait's conjecture Von Neumann conjecture ... edit Recent work Catalan's conjecture Hilbert-Smith conjecture Kepler conjecture Poincaré conjecture ... edit Open problems abc conjecture Artin conjecture Baum-Connes conjecture Beilinson conjecture ... Milnor conjecture on quadratic forms Pierce-Birkhoff conjecture Pillai's conjecture Quillen-Lichtenbaum conjecture ... Reconstruction conjecture Riemann Hypotheses : see also Weil conjectures, above

54. L-functions And Random Matrix Theory conjectures and open problems concerning Lfunctions, focussing on the areas in which there has been recent progress using results from Random Matrix Theory. Maintained at AIM. http://www.aimath.org/WWN/lrmt/

L-functions and Random Matrix Theory This web page highlights some of the conjectures and open problems concerning L-functions, focussing on the areas in which there has been recent progress using results from Random Matrix Theory. Click on the subject to see a short article on that topic. If you would like to print a hard copy of the entire web page, you can download a postscript or pdf version. Distribution of zeros of L-functions The GUE hypothesis Correlations of zeros Neighbor spacing ... GOE and Graphs

55. On The 3x + 1 Problem These pages supply numerical data and propose some conjectures on this innocent looking problem. All numbers up to 29,300 * 10^12 ( ~ 26 * 2^50 ) have been checked for convergence. http://personal.computrain.nl/eric/wondrous/

On the 3x + 1 problem By Eric Roosendaal SUMMARY: The so-called 3x+1 problem is to prove that all 3x+1 sequences eventually converge. The sequences themselves however and their lengths display some interesting properties and raise unanswered questions. These pages supply numerical data and propose some conjectures on this innocent looking problem. This page contains the following sections: In part 1 the problem is defined In part 2 the Glide is defined and investigated In part 3 the Delay and Residue are introduced In part 4 the Completeness and Gamma are defined In part 5 we'll discuss Class Records In part 6 Strength and Levels are introduced In part 7 Path Records are investigated In part 8 there are references to related pages The current status of the problem is given Join the distributed search for new class records! Watch the progress of the distributed search project Find pages quickly on the Site Map Latest Path Record news: In September 2003 another new Path Record was found, replacing the record found in March 2003. The record occurs at , (or ) and it reaches a maximum of which is just around 10% beyond the previous record.

56. Weil Conjectures - Encyclopedia Article About Weil Conjectures. Free Access, No encyclopedia article about Weil conjectures. Weil conjectures in Free online English dictionary, thesaurus and encyclopedia. Weil conjectures. http://encyclopedia.thefreedictionary.com/Weil conjectures

Dictionaries: General Computing Medical Legal Encyclopedia Weil conjectures Word: Word Starts with Ends with Definition In mathematics Mathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of 'figures and numbers'. In the formalist view, it is the investigation of axiomatically defined abstract structures using logic and mathematical notation; other views are described in Philosophy of mathematics. Mathematics might be seen as a simple extension of spoken and written languages, with an extremely precisely defined vocabulary and grammar, for the purpose of describing and exploring physical and conceptual relationships. Click the link for more information. , the Weil conjectures , which had become theorems by 1975, were some highly-influential proposals from the late 1940s by Andre Weil (May 6, 1906 - August 6, 1998) was one of the great mathematicians of the 20th century, a founding member of the influential Bourbaki group. He was brother of the philosopher Simone Weil. Born in Paris, he studied in Paris, Rome and Göttingen and received his doctorate in 1928. A conscientious objector and Jew, Weil fled France for Finland when World War II broke out. A famous anecdote was confirmed in his autobiography: after having been arrested under suspicion of espionage in Finland, he was saved from being shot only by the intervention of Rolf Nevanlinna.

57. Homological Conjectures - Encyclopedia Article About Homological Conjectures. Fr encyclopedia article about Homological conjectures. Homological conjectures in Free online English dictionary, thesaurus and encyclopedia. http://encyclopedia.thefreedictionary.com/Homological conjectures

Dictionaries: General Computing Medical Legal Encyclopedia Homological Conjectures Word: Word Starts with Ends with Definition In commutative algebra In abstract algebra, commutative algebra is the field of study of commutative rings, their ideals, modules and algebras. It is foundational both for algebraic geometry and for algebraic number theory. The most prominent example for commutative rings are polynomial rings. The subject's real founder, in the days when it was called ideal theory , should be considered to be David Hilbert. He seems to have thought of it (around 1900) as an alternate approach that could replace the then-fashionable complex function theory. In line with his thinking, computational aspects were secondary to the structural. The additional module concept, present in some form in Kronecker's work, is technically an improvement on working always directly on the special case of Click the link for more information. , the homological conjectures have been a focus of research activity since the early 1960s. They concern a number of interrelated (sometimes surprisingly so) conjectures relating various homological Homological algebra is that branch of mathematics which studies the methods of homology and cohomology in a general setting. These concepts originated in algebraic topology.

58. Conjectures And Refutations conjectures and Refutations. The central thesis of the essays and lectures gathered together in this stimulating volume is that http://www.popper.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.

59. Trend Conjectures Last Modified 12/18/01. Trend conjectures. Table of Contents, Trend conjectures updates are provided quarterly via email to registered subscribers at no charge. http://www.infuse.com/infusehome/TrendConjectures.htm

Last Modified: 12/18/01 Trend Conjectures Table of Contents INFUSE Home Consulting Services Project Portals Trend Conjectures ... Contact Us Trend Conjectures is provided free to registered subscribers. Subscribers are invited to SUBMIT trends for inclusion. Subscribe to Trend Conjectures Please submit the following information: Name: Email Address: OPTIONAL Organization: Mailing Address: Telephone Have someone from INFUSE contact me Infuse does not share or sell subscriber information with or to any third party. Click Here for more details Technology by: Altuit, Inc Contact: INFUSE

60. Issues & Views: Conjectures And Myths conjectures and myths. An unpopular truth. Reprinted from Issues Views February 25, 2002. It is indeed astounding to see how far http://www.issues-views.com/index.php/sect/23000/article/23029

Saturday, June 05, 2004 login register Search printable ... Truly telling it like it is Conjectures and myths Africa's ongoing descent A school with a colored memory Where fear rules Yes to voodoo ... Jeopardized by self-destruction View Printable Format (Also enter "Subscribe" to receive free Biweekly Updates) P.O. Box 467 New York, NY 10025 Conjectures and myths An unpopular truth It is indeed astounding to see how far some can stretch their imaginations to find "evidence" of white racism. Consider the example of Dr. Ernest Johnson, a psychologist who concludes, from his study of 1,000 Florida tenth-graders, that black teens tend to be angrier than their white peers. Theorizing that this black anger is bred by white America's many racists, Dr. Johnson does not even speculate as to whether it may result, at least in part, from the constant threat of black predators terrorizing their own neighborhoods. Nor does he trace it, even in part, to the fact that scarcely 35 percent of black youngsters currently live in two-parent homes. But if, as Dr. Saunders claims, black hypertension rates implicate white racism, how then are we to interpret suicide rates? By Saunders' logic, the comparative suicide rates of blacks and whites should reveal important information about the relative degrees of stress afflicting members of each race. A disproportionately high incidence of suicide among blacks, for example, would surely be hailed by "civil rights" messiahs as evidence that racism was casting its deadly shadow over the souls of black Americans.

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