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         Open Problems:     more books (100)
  1. Drawing opens pathways to problem solving for young children.: An article from: Childhood Education by Cathleen S. Soundy, Marilyn F. Drucker, 2009-09-22
  2. Algebraic Geometry - Open Problems: Proceedings of the Conference held in Ravello, May 31 - June 5, 1982 (Lecture Notes in Mathematics) (English and French Edition)
  3. Generalized information theory: aims, results, and open problems [An article from: Reliability Engineering and System Safety] by G.J. Klir,
  4. Robinson Crusoe, Social Engineer; How the Discovery of Robinson Crusoe Solves the Labor Problem and Opens the Path to Industrial Peace by Jackson, 2010-01-06
  5. [OPEN PROBLEMS]Open Problems by Books, LLC(Author)paperback{Open Problems: Origin of Water on Earth, Open Problem, List of Unsolved Problems in Biology}15 09-2010
  6. A tabu search algorithm for the open vehicle routing problem [An article from: European Journal of Operational Research] by J. Brandao, 2004-09-16
  7. Open Problem
  8. The open vehicle routing problem: Algorithms, large-scale test problems, and computational results [An article from: Computers and Operations Research] by F. Li, B. Golden, et all 2007-08-01
  9. Open Problems: Origin of Water on Earth, Open Problem, List of Unsolved Problems in Biology
  10. The evolution of mathematical explorations in open-ended problem-solving situations [An article from: Journal of Mathematical Behavior] by V.V. Cifarelli, J. Cai, 2005-01
  11. Network flow approaches to pre-emptive open-shop scheduling problems with time-windows [An article from: European Journal of Operational Research] by A. Sedeno-Noda, D. Alcaide, et all 2006-11-01
  12. Open Problems in Communication and Computation
  13. Development Problems of an Open-Access Resource: The Fisheries of Peninsular Malaysia by Ooi Jin Bee, 1990-07
  14. Security and Privacy Issues in Special-Purpose Networks: Open problems and solutions by Alexandre Viejo, 2009-05-26

61. Unsolved Problems -- From Wolfram MathWorld
Oct 11, 2010 There are many unsolved problems in mathematics. Some prominent outstanding unsolved problems (as well as some which are not necessarily so
http://mathworld.wolfram.com/UnsolvedProblems.html
Algebra
Applied Mathematics
Calculus and Analysis
Discrete Mathematics ... Unsolved Problems
Unsolved Problems There are many unsolved problems in mathematics. Some prominent outstanding unsolved problems (as well as some which are not necessarily so well known) include 1. The Goldbach conjecture 2. The Riemann hypothesis 3. The conjecture that there exists a Hadamard matrix for every positive multiple of 4. 4. The twin prime conjecture (i.e., the conjecture that there are an infinite number of twin primes 5. Determination of whether NP-problems are actually P-problems 6. The Collatz problem 7. Proof that the 196-algorithm does not terminate when applied to the number 196. 8. Proof that 10 is a solitary number 9. Finding a formula for the probability that two elements chosen at random generate the symmetric group 10. Solving the happy end problem for arbitrary 11. Finding an Euler brick whose space diagonal is also an integer. 12. Proving which numbers can be represented as a sum of three or four (positive or negative) cubic numbers Lehmer's Mahler measure problem and Lehmer's totient problem on the existence of composite numbers such that , where is the totient function 14. Determining if the

62. XGC - An EXtension Of The Goldbach Conjecture
An eXtension of the Goldbach Conjecture. Mathematica code.
http://members.tripod.com/~aercolino/goldbach/
However, go to http://members.tripod.com/~aercolino/goldbach/xgc_printable.html for a single page version. Build your own FREE website at Tripod.com Share: Facebook Twitter Digg reddit document.write(lycos_ad['leaderboard']); document.write(lycos_ad['leaderboard2']);

63. "Open With" Problems
Feb 11, 2005 Over time my open with right click context menu item has become fouled with duplicates and non functioning references. How do I clean it.
http://www.windowsbbs.com/windows-xp/41198-open-problems.html

64. Open Problems CUNY Geometric Analysis 2006
CUNY Geometric Analysis 2006 The Laplace and Length Spectra Open Problems Participants are welcome to send links to pdf files and articles with lists of open problems relevant
http://comet.lehman.cuny.edu/sormani/conf/2006/open06.html
CUNY Geometric Analysis 2006 The Laplace and Length Spectra Open Problems Participants are welcome to send links to pdf files and articles with lists of open problems relevant to the conference.
  • C. Croke and M. Katz have a number of open problems listed in "Universal volume bounds in Riemannian manifolds" reprint C. Gordon, P. Perry and D. Schueth have open problems in: "Isospectral and Isoscattering Manifolds: A Survey of Examples" reprint C. Sormani has a list of problems for graduate students in "Convergence and the Length Spectrum" preprint Compactness: Is the set of compact Riemannian manifolds isospectral to a given manifold compact in the $C infty $ sense? Some relevant mathscinet reviews which summerize the status of this question: Brooks-Perry-Petersen Zhou Anderson Chang-Yang ... Osgood-Phillips-Sarnak Gaps in double covers (Sarnak): Let X be a surface with genus g greater than 1 endowed with the hyperbolic metric, and let Y be its universal abelian cover, does the spectrum contain [0, 1/4] or can you create a counter example? This is closely related to the following: Given the same X, does X have a double cover which has the property that all new eigenvalues are greater than or equal to 1/4? This is adapted from the Linial's transparencies of a talk given by Linial on this issue (see p 45).

65. Mathematical Mysteries: The Goldbach Conjecture | Plus.maths.org
A brief popular article with an applet generating solutions.
http://pass.maths.org/issue2/xfile/
Skip to Navigation Search this site:
Mathematical mysteries: the Goldbach conjecture
Issue 2 Submitted by plusadmin on April 30, 1997 in May 1997
Prime numbers provide a rich source of speculative mathematical ideas. Some of the mystical atmosphere that surrounds them can be traced back to Pythagoras and his followers who formed secret brotherhoods in Greece, during the 5th Century BC. The Pythagoreans believed that numbers had spiritual properties. The discovery that some numbers such as the square root of 2 cannot be expressed exactly as the ratio of two whole numbers was so shocking to Pythagoras and his followers that they hushed up the proof! Today, prime numbers are fascinating but they are also of commercial importance, since the best commercial and military ciphers depend on their properties. (See " Discovering new primes " in Issue 1 - it is yet to be proved that there are infinitely many Mersenne primes.) Here is another unproved conjecture about prime numbers. It is called the Goldbach conjecture and may be stated as follows:

66. Problems In Topological Graph Theory
Do you think you ve got problems? I know I do. This paper contains an ongoing list of open questions in topological graph theory. If you are interested in
http://www.emba.uvm.edu/~archdeac/problems/problems.html
Problems in Topological Graph Theory Go to the Table of Contents Compiled by Dan Archdeacon List Started: August 1995
Converted to the web: September 1998
Extensive revisions: December 2003
E-Mail:
dan.archdeacon@uvm.edu
Postal Mail:
Dan Archdeacon
Dept. of Math. and Stat.
University of Vermon t
Burlington VT USA
Abstract
Do you think you've got problems? I know I do. This paper contains an ongoing list of open questions in topological graph theory. If you are interested in adding a problem to this list please contact me at the addresses above. The spirit is inclusive-don't submit a problem you're saving for your graduate student. If it appears here, it's fair game. If you solve one of the problems, know some additional history, recognize it as phrased incorrectly, or think its just a stupid question, please let me know so that I can keep the list up-to-date. I've taken quite a bit of liberty editing the submissions. I apologize for any errors introduced. My original goal was to update the list monthly, however, that has proven too difficult. There is no guarantee that references are up-to-date. Enjoy my problems-I do!

67. Open Problems « Apperceptual
There was an interesting article about Einstein in The New Yorker, discussing his annus mirabilis, 1905, when he published a series of fundamental papers.
http://apperceptual.wordpress.com/2007/12/18/open-problems/

68. Goldbach Conjecture -- From Wolfram MathWorld
Article from MathWorld.
http://mathworld.wolfram.com/GoldbachConjecture.html

69. Open Problems In Algebraic General Topology*
Open Problems in Algebraic General Topology * by Victor Porton September 25,2010 Abstract This document lists in one place all conjectures and open pro blems in my Algebraic
http://www.mathematics21.org/binaries/agt-open-problems.pdf

70. Primesbehaviour, Primesbehaviour, Nature Template - PC Word 97
An insight into the Goldbach Conjecture.
http://eureka.ya.com/angelgalicia30/Primesbehaviour.htm

71. Unsolved Problems
Jan 22, 2001 Including the list of 50 problems of Bondy and Murty with current status. Compiled by Stephen C. Locke.
http://math.fau.edu/locke/Unsolved.htm
Unsolved Problems
How to contact me Several people have asked me about unsolved problems. I will take the easy way out: see the list of 50 problems in Bondy and Murty . You can now see the list as it originally appeard in the the text, Graph Theory with Applications
December 2007 : I have now received a copy of the new text, GTM 244. and the authors revisit these unsolved problems in Appendix A, and have increased the number of unsolved problems to 100.
Some of these problems have been solved (and thus the title is slightly incorrect) and I won't claim to be familiar with all current results. If you find that one of them has been solved (or even that some reasonable progress has been made), please e-mail me. ( How to contact me .) If I receive comments on these new problems, I will of course post those that seem suitable (and, at that point, I would presumably post the problem to which the comment refers). Note, however, the publisher does have a site for the text, http://blogs.springer.com/bondyandmurty/ , and it would seem reasonable that one should post comments there. Also, I'm not giving you all of the references in

72. Open Problems - Parameterized Complexity
1) M. Trofimov, Polynomial Time Algorithm for Graph Isomorphism Testing , April 13, 2010, http//arxiv.org/abs/1004.1808v1. 2) ''The Computer Journal'' 2008.
http://fpt.wikidot.com/open-problems

73. THE STEPLADDER PROOF OF THE GOLDBACH CONJECTURE
A proposed proof offered for criticism.
http://gmazur.freeyellow.com/Goldbach.htm
THE STEPLADDER PROOF OF THE GOLDBACH CONJECTURE
Version: 10/7/04 by Gregory Mazur ( greg@tell-all.com The Goldbach Conjecture: Every even number may be written as the sum of two odd primes. Assume even integer C is a counter-example to the Goldbach conjecture. A fixed sequence of primes, p_1 thru p_n, are each less than C. Given our assumption, there is a matched set of odd composites, r_1 thru r_n, such that C = p_i + r_i for n matched sets. Let p_1 = 3; C = p_1 + r_1; Also, C = p_n + r_n Let g1 be the first prime gap. Thus g1 = (5 3) = 2 C = (p_1 + g1) + (p_n + r_n g1 p_1) C = p_2 + (p_n + r_n p_2) the next calculated smaller prime but not the next sequentially smaller prime as we step down from p_n to p_1. To favor the counter-example case, assume that we can encounter subsequent s at the same rate as r_2 thru r_(n/2). Also assume that we can encounter each sequentially smaller prime, p_n-i . Since we can construct every prime starting with p_1, neither of these two false assumptions are material to the outcome. On the contrary, the more primes, p_n-i that fail our test, the greater our confidence in the existence of a counter-example.

74. Favorite Unsolved Problems
Alexandre Eremenko (Purdue University). Mainly in analysis.
http://www.math.purdue.edu/~eremenko/
Alexandre Eremenko
Mathematics Department, Purdue University
150 N. University Street
West Lafayette, IN 47907-2067
OFFICE: Math 450 PHONE: (765)494-1975, FAX: (765)494-0548, EMAIL: eremenko@math.purdue.edu Papers and Preprints (available in ps and pdf format), Some unsolved problems Some solved problems Stories and problems about ODE, calculus and history of science. Co-authors

75. Open Problems In Symbolic Dynamics
This is a website devoted to presenting open problems in symbolic dynamics and tracking their solutions. I welcome suggestions for open problems,
http://www.math.umd.edu/~mmb/open/
Open Problems in Symbolic Dynamics
This is a website devoted to presenting open problems in symbolic dynamics and tracking their solutions. I welcome suggestions for open problems, links to related problem sites and announcements of solved problems. The initial seed for the site is the survey
Open problems in symbolic dynamics OPSD from "Geometric and probabilistic structures in dynamics, 69118, Contemp. Math., 469, Amer. Math. Soc., Providence, RI, 2008."
I'll post announcements of solutions to problems from OPSD , and I hope that those who solve problems from OPSD will include OPSD in their references, so that future workers can easily find solutions in MathSciNet by tracking citations.
Problems from OPSD which have been solved:
  • Questions 11.3 and 11.4 were answered in the affirmative by Mike Hochman in "Expansive directions of Z^2 actions"
  • Problem 23.1 is solved and Question 23.2 answered by Giordano, Matui, Putnam and Skau in "Orbit equivalence for Cantor minimal Zd-systems", Invent. Math. 179 (2010), no. 1, 119-158 (and its arXiv preprint
  • Question 27.1 (and more) has been answered in the affirmative by Mike Hochman (

76. Home Page
Problems in combinatorial set theory and topology, collected by Marion Scheepers.
http://math.boisestate.edu/~marion/research/BoiseProblemBook/
Here is a preliminary table of contents. Links and materials will be provided once prepared. Preface Chapter 1: Covering games and Memory. Chapter 2: Peculiar sets of real numbers and games. Chapter 3: G delta properties and games Chapter 4: The precipitous ideal game. Chapter 5: Cardinal numbers related to the real line. Chapter 6: Embedding problems. Chapter 7: Gaps. Chapter 8: The Embedding Hypothesis. Chapter 9: Coherent assignments and representative families. Chapter 10: Type rings. Chapter 11: Ramsey Theory: Path relations. Chapter 12: Ramsey Theory: Partitioning open covers. Chapter 13: C p (X): Sequence Selection Properties. This page was last updated on

77. Ppt - Open Problems
File Format Microsoft Powerpoint View as HTML
http://research.microsoft.com/en-us/people/mironov/hard-dlog-ants.ppt
N0g+N3exa>1Sm.x 4e޳cK]?4E޳cK]뿀Ɨ/o/w^"Y4E޻ ixwƓ]뿶4"Y-/kli <݊oԼ?v+AޭZ Lh4e?vPhy~VF[b/ <݊(5^x kԼ?v+ARآ^Kb/ <݊wy~QARحz´/ ?ي(g??مhf+EpM_´W W hQoӿƖ6OMb[ `Z+ĺحĶV-ح[]lؖ~4Wz?lKev+E%?v+Ep~VbK/~VbK?~V%Z-,ihYb[- 8poi p/°p/8V¼+K^-sx] 8]w,Wܱw,m.獯 ^ckX^rׅx^r,m <1s_ ixýA/w18ù4a^0PxcK 8NƗW>87Lixq^ +C7C':/n^'PKC/n^'PKƗ8qPKKqq+4A1 '7Lix/o^ ixc^ 4A)x4Ai p6p8 S+ q. q. q'޿N4e?_^2Ӎ/oӍ/w ?_^2'޿N4eߠ,Oix˿@Y

78. Ideas, Concepts, And Definitions
Open Problems In a community of mathematicians, an open problem is a question that no one has found the answer to. Open problems are not a source of frustration, they are a
http://www.c3.lanl.gov/mega-math/gloss/math/openpr.html
Open Problems
In a community of mathematicians, an open problem is a question that no one has found the answer to. Open problems are not a source of frustration, they are a source of delight. Open problems are the lifeblood of mathematics. For you, as an individual mathematician, your own open problems are the questions you raise that you cannot answer. Anyone who does mathematics for very long soon discovers that open problems are abundant, and even more of them are generated as mathematicians think about something and ask themselves questions in an effort to understand it. One of a mathematician's hardest choices is deciding which open problems to give focused attention to and try to solve. When you raise a question for yoursef, and you cannot answer it, it becomes an open problem for you. It is a good idea to share this problem with other mathematicians friends, classmates, teachers, etc. to see if they know of a solution or have ideas about solving it. Share your open problems with MegaMath! Don't abandon your open problems just because they remain unsolved for a long time. Set them aside and think about them gently . A solution might surprise you and arrive when you least expect it. You might even dream it!

79. Rob Kirby's Home Page
Problems list in PostScript format.
http://www.math.berkeley.edu/~kirby/
Rob Kirby
Phone

Fax

E-mail
kirby@math.berkeley.edu
Department of Mathematics
University of California
Berkeley, CA 94720-3840
USA
Math 141 Comparative Prices of Math Journals Comparative Prices of Math Journals, Updated Jan. 2000. Fleeced Stephen Smale: The Mathematician Who Broke the Dimension Barrier Conversations about mathematics Joan T. McKay, John T. McKay, and J. T. McKay Sexism in Mathematics ? Problems in Low-Dimensional Topology (380 pages)
The above file is distributed in PostScript format because of the large amount of graphics involved. Akbulut's corks and h-cobordisms of smooth, simply connected 4-manifolds A survey of 4-manifolds through the eyes of surgery (w. Larry Taylor) Canonical framings for 3-manifolds (w. Paul Melvin) The E_8-manifold, singular fibers and handlebody decompositions (w. Paul Melvin) Constructing symplectic forms on 4-manifolds which vanish on circles. (w. David Gay) Local surgery formulas for quantum invariants and the Arf invariant. (w. Paul Melvin) Constructing Lefschetz-type fibrations on 4-manifolds. (w. David Gay)

80. Open Problems In Computer Virus Research
File Format PDF/Adobe Acrobat Quick View
http://madchat.awired.net/vxdevl/avtech/Open Problems in Computer Virus Research

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