Geometry.Net - Theorems_And_Conjectures: Unsolved Problems

Unsolved Problems In Astrophysics, Ed. John N. Bahcall And Jeremiah P. Ostriker
descriptions of the most important unsolved problems in astronomy andastrophysics by leading experts. unsolved problems in Astrophysics.
http://www.sns.ias.edu/~jnb/Books/Unsolved/unsolved.html
Unsolved Problems In Astrophysics, Contents
Back to unsolved problems. Contents. Preface, xiii. 4.7 Summary, 86.5 unsolved problems in Gravitational Lensing, 93. 5.1 Introduction,94.
http://www.sns.ias.edu/~jnb/Books/Unsolved/contents.html

Extractions: Back to Unsolved Problems Preface xiii 1 The Cosmological Parameters 1.1 Introduction 1.2 Why Measure the Parameters? Testing the Physics How Will It All End? 1.3 The State of the Measurements 1.4 Cosmology for the Next Generation 2 In the Beginning... 2.1 The Future Fate of Cosmology 2.2 Testing Inflation 2.3 The Power of the Cosmic Microwave Background 2.4 Cosmic Concordance 2.5 A New Age? 3 Understanding Data Better with Bayesian and Global Statistical Methods 3.1 Introduction 3.2 Combining Experimental Measurements 3.3 Bayesian Combination of Incompatible Measurements 3.4 Another Variant of the Method 3.5 Results for the Hubble Constant 3.6 Conclusion 4 Large-Scale Structure in the Universe 4.1 Introduction 4.2 Clustering and Large-Scale Structure Galaxies and Large-Scale Structure Clusters and Large-Scale Structure 4.3 Peculiar Motions on Large Scales 4.4 Dark Matter and Baryons in Clusters of Galaxies 4.5 Is 4.6 The SDSS and Large-Scale Structure The Sloan Digital Sky Survey Clusters of Galaxies 4.7 Summary
3rd International Conference On Unsolved Problems Of Noise
September 2 September 7, 2002.
http://dir2.nichd.nih.gov/icupn/upon2002.html

Extractions: The purview of this third UPoN conference at the National Institutes of Health in Bethesda (Washington, DC metro area) is shifted toward biology and medicine. In order to promote the penetration of concepts and quantitative methods of the physics of fluctuations into biological sciences and medicine, the conference brings together scientists from physics, biophysics, biomedical engineering, biology, and medicine.
3rd International Conference On Unsolved Problems Of Noise
The second conference received coverage in Nature ( Random fluctuations unsolved problems of noise, Nature 401, p. 23, Sept. 2, 1999).
http://dir2.nichd.nih.gov/icupn/history.html

Extractions: History The first conference, pioneered by Laszlo Kish , was held in Szeged, Hungary on September 2 September 7, 1996 and was mostly devoted to high technology devices. Conference participants recall its warm and productive atmosphere. The total number of talks was 57, the number of attendees was 83. The second one, organized by Derek Abbott , was hosted by Adelaide, Australia in 1999 and focused largely on mathematical aspects and paradoxes in noise and fluctuation research. The second conference received coverage in Nature ("Random fluctuations - Unsolved problems of noise," Nature 401, p. 23, Sept. 2, 1999). For more detail about this memorable meeting please see UPoN'99 web site at:
Unsolved Problems
unsolved problems. 1. Can someone solve this integral equation? Find anonnegative function g defined on 0,1 and a constant a satisfying.
http://www.maths.usyd.edu.au:8000/u/richardc/unsolved.html

Extractions: Unsolved problems 1. Can someone solve this integral equation? Find a non-negative function g defined on [0,1] and a constant a satisfying Motivation for the equation, together with a series-solution and plot, is given in Section 5 of Cowan, R. and Chen, F. K. C. Four interesting problems concerning Markovian shape sequences. Adv. Appl. Prob. Download post-script file. The equivalent differential equation is also given in this paper. An analytic solution would be desirable. Least dense "full" packings. Consider an infinite ensemble of equal-sized disks with diameter 1, packed together in the plane. A requirement of the packing is that each disk touches at least 4 other disks. In addition, each disk's circumference must be "full" in the sense that the angle at the disk's centre subtended by the centres of any two adjacent neighbours is less than 2 p /3. Thus there is no room on the circumference for another disk. In the paper Cowan, R. Constraints on the random packing of disks. J. Appl. Prob.
Unsolved Problems In TSPLIB
together a library containing many of the TSP test instances that had been discussedin the literature, together with a host of unsolved problems obtained from
http://www.math.princeton.edu/tsp/unsolved.html

Extractions: In 1990, Gerd Reinelt put together a library containing many of the TSP test instances that had been discussed in the literature, together with a host of unsolved problems obtained from locations of cities on maps and from industrial applications. The library is known as the TSPLIB and it currently contains over 100 examples, ranging in size from 14 cities up to 85,900 cities. As of May, 2001, there remain four instances in the library for which the optimal solution is not known. The unsolved instances have 14,501 cities, 18,512 cities, 33,810 cities, and 85,900 cities, respectively. In the table below, we list the length of the best reported solution (as given in the TSPLIB) for each of the four instances, and also the best reported lower bounds, that is, values for which it has been verified that there is no tour for the instance of length less than the specified number. The "Gap" column gives the % difference between the best tour and the best bound.
Unsolved Problems On Mathematics For The 21st Century
unsolved problems on Mathematics for the 21st Century. A Tributeto Kiyoshi Isékis 80th Birthday Edited by JM Abe 2001, 332
http://www.iospress.nl/site/html/boek631797093.html
Distributed Data Management: Unsolved Problems And New Issues - Ozsu, Valduriez
Distributed Data Management unsolved problems And New Issues (1994) (Make Corrections)(3 citations) M. Tamer Özsu, Patrick Valduriez Readings in Distributed
http://citeseer.nj.nec.com/ozsu94distributed.html

Extractions: Abstract: Distributed database technology is expected to have a significant impact on data processing in the upcoming years. With the introduction of commercial products, expectations are that distributed database management systems will by and large replace centralized ones within the next decade. In this paper, we reflect on the promises of distributed database technology, take stock of where we are, and discuss the issues that remain to be solved. We also present new research issues, such as... (Update)
Citations: Unsolved Problems In Number Theory - Guy (ResearchIndex)
Richard K. Guy, unsolved problems in number theory, second ed., SpringerVerlag,1994. 52 citations found. RK Guy. unsolved problems in Number Theory.
http://citeseer.nj.nec.com/context/9372/0

Extractions: Experiences With Distributed Computation Of Twin - Primes Distribution Patrick (Correct) ....We will also describe the first application of our farmer worker system: computing twin primes distribution. This application was chosen both because it is a good representative of a class of applications which lends itself well to the farmer worker paradigm and its importance to number theory We have already collected this information for an interval an order of magnitude larger than any previously computed and will have another order of magnitude on completion of the project. A prime number is a positive integer that is evenly divisible by exactly two positive integers: itself and ....
Unsolved Problems And Opportunities For High-quality, High-performance 3-D Graph
unsolved problems and Opportunities for Highquality, High-performance 3-D Graphicson a PC Platform. 9/17/98. Whats so hard? (unsolved problems).
http://graphicshardware.org/previous/www_1998/presentations/kirk/

Extractions: Click here to start Unsolved Problems and Opportunities for High-quality, High-performance 3-D Graphics on a PC Platform Untamed Challenge of 3D 3D is Unique - Its not going to be good enough anytime soon Graphics Processors Are Complex ... Conclusions Author: David Kirk Email: davidk@nvidia.com Home Page: http://www.nvidia.com/
Unsolved Problems And Opportunities For High-quality, High-performance 3-D Graph
unsolved problems and Opportunities for Highquality, High-performance3-D Graphics on a PC Platform. David B. Kirk. NVIDIA Corporation.
http://graphicshardware.org/previous/www_1998/presentations/kirk/tsld001.htm
UnSolved Problems In 'PUZZLE FUN'
PUZZLE FUN top page unsolved problems in PUZZLE FUN Follow UnSolvedProblems from back issues of my magazine PUZZLE FUN. Try to
http://anduin.eldar.org/~problemi/pfun/pfununso.html
Two Unsolved Problems In Library Work
Two unsolved problems in Library Work. by William Warner Bishop. Itwas his President's address at the meeting of the District of
http://www.libr.org/rory/wbm13.html

Extractions: Two Unsolved Problems in Library Work by William Warner Bishop. It was his President's address at the meeting of the District of Columbia Library Association, December 13, 1911, and was first published in Library Journal , January, 1912. It was reprinted in the 1926 collection of Bishop's writings, The Backs of Books and Other Essays in Librarianship Occasionally one hears in professional circles, generally from a comparatively recent recruit, some pronouncement to the effect that most fundamental problems of library work have been settled long ago, and that the only tasks now before librarians are those involved in adapting principles already will established to new conditions or in expanding small activities into larger fields. Such expressions are not infrequently coupled with a generous consciousness of the preeminent excellence of American library methods in contrast with those of the rest of the world. We are all more or less familiar with this sort of talk, and are perhaps inclined to be more or less consciously infuenced by it. It may, therefore, be wholesome and profitable to turn out attention to at least two problems which are fundamental to the successful prosecution of our calling and which not only are unsolved ehre as yet, but are - at least in part - in a fair way to solution elsewhere. When a reader or inquirer comes to a library and asks for a book whose author and title he knows, he presents our first problem in its most simple form. Where is the book he wants? If it is at once produced, either by the ready membory of the librarian, the aid of an author or a title entry in the catalog, or by whatever other means are used, the problem is solved, and ceases to be more than a matter of ordinary routine. When the work is not readily identified or not readily found, and further search of catalogs or shelves is required, the problem, although complicated somewhat, still remains fairly easy, if the book can be produced in good time. But when the book cannot be produced there arise at once two questions: first, "Is the book here, but for the moment concealed through some of the intricacies or deficiencies of cataloging or failure of other library machinery?" and second, "If not here, where is it?"
Unsolved Problems: References
unsolved problems. General References. The following books contain unsolvedproblems or are referenced by the unsolved problem of the week.
http://cage.rug.ac.be/~hvernaev/problems/references.html

Extractions: Especially rich are [Croft 1991] [Guy 1994] and [Klee 1991] [Beiler 1966] Albert H. Beiler, Recreations in the Theory of Numbers: The Queen of Mathematics Entertain. 2nd edition. Dover. New York: 1966. [Bondy 1976] J. A. Bondy and U. S. R. Murty, Graph Theory with Applications. North Holland. New York: 1976. [Boroczky 1987] Intuitive Geometry. North-Holland Publishing Company. New York: 1987. [Croft 1991] Hallard T. Croft, Kenneth J. Falconer, and Richard K. Guy, Unsolved Problems in Geometry. Springer-Verlag. New York: 1991. [Dudeney 1970] H. E. Dudeney, Amusements in Mathematics. Dover. New York: 1970. [Dunham 1990] William Dunham, Journey Through Genius: The Great Theorems of Mathematics. John Wiley and Sons. New York: 1990. [Erdos 1980] Old and New Problems and Results in Combinatorial Number Theory. [Gardner 1978] Martin Gardner, Mathematical Magic Show. Vintage Books. New York: 1978. [Gardner 1983] Martin Gardner
Unsolved Problems In Stellar Evolution Mario Livio Stars Interstellar Matter Ast
unsolved problems in Stellar Evolution Mario Livio Stars interstellarmatter Astrophysics Cosmology the universe Astronomy. Unsolved
http://www.poem-store.co.uk/Mario-Livio-Unsolved-Problems-in-Stel-0521780918.htm
Unsolved Problems
Solved problems Competitions - Home unsolved problems.This page is dedicated to problems which I cannot currently solve.
http://cstein.kings.cam.ac.uk/problems/
37. Unsolved Problems For The 21st Century
unsolved problems for the 21st Century
http://www.arachnoid.com/lutusp/idea_market/sld036.html

Extractions: Home Slide Sets The Idea Marketplace 01. The Idea Marketplace 02. The Idea Marketplace 03. Idea Producers 04. Properties of Producers 05. Idea Distributors 06. Properties of Distributors 07. Idea Consumers 08. PPT Slide 09. Fact: 10. Idea: 11. Principles of Idea Production 12. Principles of Idea Distribution 13. Principles of Idea Consumption 14. Question: 15. Fact Solution: Recite an old verse 17. Idea Solution: 1. List known facts 18. Idea Solution: 2. Simplify and adjust 20. Question: 21. Fact Solution: Consult authority 23. Idea Solution: Think it Through 24. Idea Solution: Compare Results 26. Question: 27. Fact Solution: Consult authority 28. Idea Solution: Think it out 29. Question: 30. Fact Solution: Consult authority 31. Idea Solution: Think it out 32. Idea Solution: Think it out 33. Question: 34. Question: 35. Question: 36. Unsolved Problems for the 21st Century 37. Unsolved Problems for the 21st Century Slide 36 of 36
Unsolved Problems For The 21st Century
unsolved problems for the 21st Century. Can we develop present and futuretechnologies without destroying Earth and each other in the process?
http://www.arachnoid.com/lutusp/idea_market/tsld036.html
Unsolved Problems
Saadi). Urgent problems in current programming languages that callfor much rethinking. 1. Programs should no longer be written .
http://sit.gmd.de/Lava/LavaDoc/html/Unsolved.htm

Extractions: (Moslik Saadi) Urgent problems in current programming languages that call for much rethinking It's time to finally overcome the antediluvian technology of software production using text editors. Programs should no longer be "written" but constructed/composed in Lego-like fashion from basic constructs, using structure editors rather than text editors. Particularly the executable portions of programs are the last bastions of textual programming that remain to be captured by "point-and-click" technology Structure editors are also a valuable and almost indispensable basis for the realization of powerful restructuring / refactoring operations, which should be supported by every modern IDE (Integrated Development Environment). Lava solution Older, non-object-oriented languages like
Unsolved Problems
These are some problems I couldn't solve. I wish you luck and I shouldvery much appreciate that in case anyone should find solutions
http://ajorza.tripod.com/unsolved.htm

Extractions: Get Four DVDs for $.49 each. Join now. Tell me when this page is updated These are some problems I couldn't solve. I wish you luck and I should very much appreciate that in case anyone should find solutions to send them to me by email. Thank you in advance. Prove the following inequality : Solve the system of equations : (solved) 3 Given the system of equations : compute the value of xy + 2yz + 3zx. (solved) 4 Solve the system of equations : (solved) Let f and g be two differentiable functions such that f(0)=f(1)=1 and 153 f '(x)g(x) + 41 f(x)g '(x) is positive or if x is in [0,1]. Then g(1) is greater than or equal to g(0). (solved) 6 Let a =0 then (solved) 7 A cube with side 45 is divided in 91125 unit cubes (45 on each side) and 1998 of these are populated with bacteria. If there is a cube that has adjacent faces with cubes populated by bacteria then this in turn becomes populated. Is it possible that all the unit cubes become populated after some finite time? 8 Around a table there are 12 cups full of tea. Every evening, the March Hare, the Dormouse and the Mad Hatter go two places to the right or left (if vacant) and drink all the tea (if any). After this Alice is allowed to fill only 1 cup. Prove that Alice can always keep 6 cups full. (solved) 9 On a 11x11 checker board, T-Rex and T-Glipp are playing a game. Each is allowed to place an X or an O on the board (as he wishes). T-Rex beggins the game and the goal is to achieve a configuration where the are three X-s or O-s in a row (horizontal, vertical or diagonal). Who wins the game?

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