21. A Tissue Of Conjectures - Nov. 25, 2002 A tissue of conjectures By Antonio J. Montalwan. MANILA culture oftenordains itself to speak for the rest of the country. House http://www.inq7.net/opi/2002/nov/25/opi_kris-1.htm

Monday Nov. 25, 2002, Philippines INQ7 news on your PDA RECENT COLUMNS The City of Don'ts Pawns and mistaken identities UN and self-determination: a Mindanao view The return of the Tasaday ... Global Nation A tissue of conjectures By Antonio J. Montalwan MANILA culture often ordains itself to speak for the rest of the country. House Bill 4110 or the Reproductive Health Care Act is a case in point. In their obsession to criticize anything Catholic, the bill's proponents have forgotten one central cultural truth: not everything about morals is confined only to Catholicism. Many of the world's great religions recognize the existence of natural moral laws. And so they missed the crucial question in the whole matter: What about those who profess Islam or other religions, do they share the views of the congressmen and women? As an act of cultural solidarity with our Muslim brethren during this holy month of Ramadhan, it may be an eye opener for us of different faiths to look at the bill from the perspective of Islam. The bill is built on the principle of free choice. It defines reproductive health as implicative of "the freedom to decide if, when and how often to do so, including the right to use methods of their choice."

22. The Conjectures The conjectures. C1 No elementary or differentially algebraic mapon R can simulate a TM with less than exponential slowdown. C2 http://www.media.mit.edu/physics/pedagogy/babbage/session5/node12.html

23. Conjectures conjectures. This model is weak because so much of its based on conjecture.The derivation of mass is based on special relativity http://home.att.net/~bob.rutkiewicz/Conject.htm

Conjectures This model is weak because so much of its based on conjecture. The derivation of mass is based on special relativity formulas and is internally consistent. But one must start with the assumption that the result and interpretation are valid. There isn't a way to prove this model except by use of Occam's razor. This model is internally consistent and consistent with as much of physics that I know. It has an element of beauty and brings together many disparate ideas in physics. The only thing that I can think that would prove this model is a solution of Schroedinger equation for a torus topology with the proper dimensions. But that is the catch. Just like in QED, where one must have all the paths included, one must solve the equation with all of the dimensions. Assuming the smaller dimensions are zero, when they are not, simplifies the solution but adds an error. The real benefit may be in assuming the dimensions sizes for fitting the solution to the electron. The resulting sizes then make it possible to solve for other particles. The model's number of dimensions is based on Hyperspace , by Kaku. That the some microspaces are exactly the same size is based on the symmetry of gravity in normal space.

24. Least Primitive Root Of Prime Numbers Empirical and statistical results showing the smallest base required to prove a number is prime. Includes theory and conjectures. http://www.ieeta.pt/~tos/p-roots.html

Least primitive root of prime numbers Least prime primitive root of prime numbers Least base necessary to prove the primality of a number Introduction Results References Links ... [Up] Introduction Let p be a prime number. Fermat's little theorem states that a^(p-1) mod p=1 (a hat (^) denotes exponentiation) for all integers a between and p-1 . A primitive root of p is a number r such that any integer a between and p-1 can be expressed by a=r^k mod p , with k a nonnegative integer smaller that p-1 . If p is an odd prime number then r is a primitive root of p if and only if for all prime divisors q of p-1 . If a number r can be found that satisfies these conditions, then p must be a prime number. In fact, it is possible to relax the above conditions in order to prove that p is prime ; it is sufficient to find numbers denotes the variable r with index k such that and (r_k)^(p-1) mod p=1 for all prime divisors of p-1 (these conditions guarantee the existence of a primitive root of p A famous conjecture of Emil Artin [3, problem F9] states that if a is an integer other than or a perfect square, then the number

25. Conjectures conjectures. SVerdi provides several complementary ways to formulateconjectures, ie, logical predicates, about SVerdi definitions. http://chacs.nrl.navy.mil/publications/CHACS/1996/newrptrTL/node23.html

Next: Proof Commands Up: EVES Notation Previous: Executable Definitions Conjectures SVerdi provides several complementary ways to formulate conjectures, i.e., logical predicates, about SVerdi definitions. The simplest form of conjecture is an axiom: axiom A (v1,v2,...,vn) = begin P(v1,v2,..,vn) end A; where P is a predicate stated in terms of the variables through vn . Although this type of conjecture is referred to as an axiom, EVES obligates the developer to prove the predicate submitted. The EVES prover, which is called NEVER, requires that the axiom definition be explicitly assumed (via a use command) in order for the predicate defined by the axiom to be used in subsequent proofs. Three other types of conjecture definitions - rules, grules, and frules - allow the developer to direct NEVER to use the predicates defined automatically when certain conditions are met. Rules are rewrite rules of the form where C is a predicate condition, P is a pattern to be matched, and E is an expression to be substituted. If R is in the EVES database and NEVER encounters the pattern P in the proof of a formula, then, if condition

26. 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 news : New Glide Record found! In December 2002 a new Glide Record was found, the first new Glide Record for almost a year. The record occurs at , (or ) and the new glide is 1575, which is an improvement of 104 over the previous record.

27. Conjectures next up previous contents index Next References Up Conclusions andRecommendations Previous Recommendations. conjectures. Given http://margo.student.utwente.nl/simon/finished/thesis/thesis2/node54.html

Next: References Up: Conclusions and Recommendations Previous: Recommendations Conjectures Given the importance of IP(v4) in the current use of computer networks and the upcoming need for multicasting on the Internet it is, in my opinion, likely that at some point ATM will support a form of abstract multicast addressing. This would make the implementation of IP multicasting on an ATM network less complex and remove the lack of support for multipoint-to-multipoint transmissions on ATM. IPv6, the future protocol of the Internet, supports similar abstract multicast addresses and adds anycast addresses, so the need for this kind of addressing remains, at least in the near future Simon Oosthoek Wed Jul 9 20:08:23 CEST 1997

28. Conjectures And Refutations conjectures and Refutations. by KR Popper. bibuq{ARCH+MUS BD241.P61974}}}, publisher= {Harper \ Row}, title = {{conjectures and Refutations}}, year = {1965} } http://www.itee.uq.edu.au/~bof/Bib/Popper1965a.html

Conjectures and Refutations by K. R. Popper Check out my bibliography for some other interesting pieces of writing and the latex files to go with the above bibtex entry. You are somewhere in my tangled web pages . If you're completely lost, there's a a quick find list or you could ask me for directions

29. Bigchalk: HomeworkCentral: Conjectures About Triangles (Triangles & Polygons) Looking for the best facts and sites on conjectures About Triangles?This HomeworkCentral section focuses on 'Triangles Polygons http://www.bigchalk.com/cgi-bin/WebObjects/WOPortal.woa/Homework/High_School/Mat

Home About Us Newsletters Log In/Log Out ... Product Info Center Email this page to a friend! K-5 Conjectures About Triangles document.write(''); document.write(''); document.write(''); document.write(''); TRIANGLE INEQUALITIES Geometric inequalities Impossible triangles Length of a Triangle's Sides ... Contact Us

30. Bigchalk: HomeworkCentral: Conjectures About Triangles (Triangles & Polygons) Looking for the best facts and sites on conjectures About Triangles? Mathematics Geometry Triangles Polygons conjectures About Triangles. http://www.bigchalk.com/cgi-bin/WebObjects/WOPortal.woa/Homework/Teacher/Math/Ge

Home About Us Newsletters Log In/Log Out ... Product Info Center Email this page to a friend! K-5 Conjectures About Triangles document.write(''); document.write(''); document.write(''); document.write(''); TRIANGLE INEQUALITIES Geometric inequalities Impossible triangles Length of a Triangle's Sides ... Contact Us

31. Conjectures And Refutations conjectures and Refutations. 'The central thesis of the essays andlectures 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.

32. Related Conjectures the current. Related conjectures. A related conjecture from Euler.Noam Elkies gave a counterexample, namely . Subsequently, Roger http://db.uwaterloo.ca/~alopez-o/math-faq/node25.html

Next: Did Fermat prove this Up: Fermat's Last Theorem Previous: What is the current Related Conjectures A related conjecture from Euler Noam Elkies gave a counterexample, namely . Subsequently, Roger Frye found the absolutely smallest solution by (more or less) brute force: it is . "Several years", Math. Comp. 51 (1988) 825-835. This synopsis is quite brief. A full survey would run too many pages. References Irregular Primes to One Million. Math. Comp., 59 (October 1992) pp. 717-722. Fermat's Last Theorem, A Genetic Introduction to Algebraic Number Theory. H.M. Edwards. Springer Verlag, New York, 1977. Thirteen Lectures on Fermat's Last Theorem. P. Ribenboim. Springer Verlag, New York, 1979. Number Theory Related to Fermat's Last Theorem. Neal Koblitz, editor. Alex Lopez-Ortiz Mon Feb 23 16:26:48 EST 1998

33. Blind Conjectures And Informated Refutations Blind conjectures and Informated Refutations. And that both forms of knowledgeshare the nature of notverifiable but only refutable conjectures. http://www.geocities.com/Athens/5235/node5.html

Next: Genetic Learning Systems Up: Evolutionary Epistemology Previous: Implicit and Explicit Knowledge Blind Conjectures and Informated Refutations The structure of an organism is therefore a kind of knowledge, represented by forms and machineries instead of linguistic expressions. Adapting such machineries and forms to the environment is therefore a kind of learning, as it is observed by Michalski in [ ``[According to Mc Carthy] learning is 'constructing or modifying representations of what is being experienced'. The representation of knowledge may be in the form of symbolic descriptions, algorithms or general formal theories. If one stretches the concept of representation to include physical and physiological imprints, occurring in the nervous system when one is acquiring a skill, the above view of learning seems to cover skill acquisition''. And evolution is certainly a matter of skill improvement. But the observation that organisms embody knowledge about their environment is not the only assumption of Evolutionary Epistemology. The key-point found by Popper is that this knowledge grows up exactly in the same way as the one contained in scientific theories. And that both forms of knowledge share the nature of not-verifiable but only refutable conjectures. Even the logical starting-point of their formation (use of regularities in the data for predicting the behaviour of environment) is the same. In [ ] a clear formulation of such analogy is given by Popper: Scientific knowledge contained in the theories is - as a matter of fact - obtained in the same way. There is no other method than one which proceeds by conjectures and refutations (as proved by Popper himself in [

34. Conjectures My favorite conjectures. If the invariant ring of a finite group isCohenMacaulay, then Noether's degree bound holds. This implies http://www.iwr.uni-heidelberg.de/groups/compalg/kemper/conjectures.html

My favorite conjectures If the invariant ring of a finite group is Cohen-Macaulay, then Noether's degree bound holds. A conjecture of Harm Derksen: If d_1,...,d_n are the degrees of a system of primary invariants, then the degrees of the corresponding secondary invariants are bounded (from above) by d_1 + ... + d_n - n. In the non-modular case, this follows from the Cohen-Macaulay property and Molien's formula; the conjecture was proved by Bram Broer in the case that the invariant ring is Cohen-Macaulay. The degree of the Poincare series P(K[V]^G,t) of an invariant ring (as a rational function in t) is less than or equal to -n, where n=dim(V). In the non-modular case, this follows from Molien's formula. It was proved by myself that K[W]^G is not Cohen-Macaulay for W the direct sum of sufficiently many copies of V. If you have any proof (or counterexamples) to any of these, let me know Return to Gregor's home page

35. Trend Conjectures Last Modified 12/18/01. Trend conjectures. Table of Contents, Trend conjectures updatesare 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

36. Dade's Conjectures DADE's conjectures. These pages contain information about the presentstate 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

37. Theorems, Lemmas, And Conjectures Environments. Theorems, Lemmas, and conjectures. provides a simple wayto typeset the statements of Theorems, Lemmas, conjectures and so on. http://abel.math.harvard.edu/computing/latex/manual/node10.html

38. Conjectures, Focus On Geometry, Curriculum Press, 1997 conjectures. (Focus on Geometry, Curriculum Press, 1997). Chapter 3.C1 If a point is on the perpendicular bisector of a segment, then http://www.ocean.k12.wa.us/ilwacohi/mathDpt/Lewis/conjectures.htm

Conjectures Focus on Geometry , Curriculum Press, 1997) Chapter 3 C-1 If a point is on the perpendicular bisector of a segment, then it is equally distant from the endpoints (Perpendicular Bisector Conjecture). (pg 139) C-2 If a point is equally distant from the endpoints of a segment, then it is on the perpendicular bisector of the segment (Converse of the Perpendicular Bisector Conjecture). (pg 140) C-3 The shortest distance from a point to a line is measured along the perpendicular from the point to the line (Shortest Distance Conjecture). (pg 143) C-4 If a point is on the bisector of an angle, then it is equally distant from the sides of the angle (Angle Bisector Conjecture). (pg 147) C-5 The measure of each angle of an equilateral triangle is 60 . (pg 148) C-6 The three angle bisectors of a triangle are concurrent. (pg 155) C-7 The three perpendicular bisectors of a triangle are concurrent. (pg 155) C-8 The three altitudes (or the lines through the altitudes) of a triangle are concurrent. (pg 155) C-9 The circumcenter of a triangle is equally distant from the triangle’s three vertices. (pg 156)

39. C I I L PROGRAMMES Lipika. 2. The conjectures The Indus Valley Civilizationwas the first major urban culture of South Asia. The peak was http://www.ciil.org/programmes/lipika/conjucture.html

Focus Languages Society Culture ... Links PROGRAMMES - Lipika 2. The Conjectures The Indus Valley Civilization was the first major urban culture of South Asia. The peak was between 2600 and 1900 BC roughly. The samples are huge - about 1000 settlements spreading all of modern Pakistan, and parts of India and Afghanistan. The main corpus of writing include 2,000 inscribed brief seals and tablets of 6 to 26 symbols each which are still undeciphered. There are several competing theories about the language (unrelated/Aryan/Mundari/Dravidian) which the Indus script represents. But it appears that there was an equally strong multi-racial and multi-lingual existence then which has further contributed to the difficulties in decipherment. Writing Systems Conjectures Brahmi Script Kharosthi Script ... Top

40. AHE: Conjectures And Reputations search ahet by keyword. AHE conjectures and Reputations posted byD. Wade Hands on May 14, 1998 EHS Abstract Submission (c) 1997 http://www.eh.net/lists/archives/ahet/may-1998/0001.php

search ahet by keyword AHE: Conjectures and Reputations posted by D. Wade Hands on May 14, 1998 EHS Abstract Submission (c) 1997 EH.Net Name: D. Wade Hands Email: hands@ups.edu Institution: University of Puget Sound Co-author: Title: Conjectures and Reputations: The Sociology of Scientific Knowledge and the History of Economic Thought Type of work: C Internet Address of abstracted work: By mail: D. Wade Hands Economics Department University of Puget Sound 1500 North Warner, Tacoma, WA 98416-0140 Language: English Abstract: The Sociology of Scientific Knowledge (SSK) has expanded rapidly during the last two decades and is now considered to be one of the most influential approaches to the study of scientific knowledge. The purpose of this paper is to examine the development of this sociological literature with particular attention to how it relates to economics in general and the history of economic thought in particular.

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