21. Archives: Steph Mysteries of Math Unsolved Problems Unexplained Patterns. Math isn’t just mysterious because the majority of us find it so difficult http://arch.itect.us/author/steph/

Arch.itect.us Subscribe About Steph Towards a New Antarchitecture: Tiny Worlds in Ice As the last continent on Earth to be explored – and still the least developed – Antarctica may yet fall prey to the onward march of human civilization, but its lack of resources beyond ice make it an inhospitable place to build. Architecture student Taylor Medlin of the University of California at Berkeley has developed [...] Hidden Logos: 12 Creative Designs with Secret Symbols Livable Packing Tape Web Installation is Spideriffic With its long, hollow tubes suspended five feet in the [...] No Dearth of Darth: 100 Artistic Versions of Vader Real Ghost Ships: 10 Mysterious Abandoned Sea Vessels Manga News: Current Events in Comic Strip Format Signal or Noise: 8 Mysterious Unsolved Sounds (images via: darkf666, qaz2008, paulboutros) Provocative Photography and Ads by Carioca Studio Cryptic Codes: 11 Legendary Uncracked Ciphers Architect's Only Latest Authors Categories Random How to Choose a Dynamic Kitchen Cabinet Style Incredible Handmade Lighting Fixtures from Jacco Maris Design Double Chaise Longue, a Comfy Adaptable Armchair How to Bring Feminine Decor Qualities into your Home ... Unbelievable: Home Facade Turns into Garage Door Subscribe Subscribe Sites I like Earnings-Splits-Ipo.com

22. Mysterious :: TurulMeme The ways of The cat are Mysterious ..but anyone who’s ever owned a cat for Mysteries of Math Unsolved Problems Unexplained Patterns http://turulmeme.com/cimke/mysterious_1.aspx

23. Re: Prize Announced For Determining The Boundaries Of Turing Machine Computation Mathematics from Tomorrow's Math Unsolved Problems for the Amateur by Charles Stanley Ogilvy, who acknowledged the correctness of my solution.) http://sci.tech-archive.net/Archive/sci.logic/2007-05/msg00574.html

Re: Prize Announced for Determining the Boundaries of Turing Machine Computation From Date : 24 May 2007 18:28:24 -0700 First question in that direction: Is the Turing Machine that goes to the same state # 1 and moves to the right 1 for all characters scanned a universal TM and why or why not? If you can't answer that question already, perhaps you should skip this contest. You haven't answered it. I wonder if you can? You do realize why it is a first step, don't you? (I developed the technique as a young Mathematician and it enabled me to solve an unsolved problem of Mathematics from "Tomorrow's Math - Unsolved Problems for the Amateur" by Charles Stanley Ogilvy, who acknowledged the correctness of my solution.) C-B Jesse F. Hughes "I already have major discoveries, which mathematicians have simply avoided bothering to inform the public about, so I'll solve the factoring problem, and that will end." JSH: A Man with a Plan! Follow-Ups Re: Prize Announced for Determining the Boundaries of Turing Machine Computation From: Jesse F. Hughes

24. Pascal's Triangle -- From Wolfram MathWorld Ogilvy, C. S. Tomorrow's Math Unsolved Problems for the Amateur, 2nd ed. New York Oxford University Press, 1972. Pappas, T. Pascal's Triangle, the Fibonacci Sequence Binomial http://mathworld.wolfram.com/PascalsTriangle.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Interactive Demonstrations Pascal's Triangle Pascal's triangle is a number triangle with numbers arranged in staggered rows such that where is a binomial coefficient , the triangle is (Sloane's Pascal's formula shows that each subsequent row is obtained by adding the two entries diagonally above, The plot above shows the binary representations for the first 255 (top figure) and 511 (bottom figure) terms of a flattened Pascal's triangle. The first number after the 1 in each row divides all other numbers in that row iff it is a prime The sums of the number of odd entries in the first rows of Pascal's triangle for , 1, ... are 0, 1, 3, 5, 9, 11, 15, 19, 27, 29, 33, 37, 45, 49, ... (Sloane's ). It is then true that (Harborth 1976, Le Lionnais 1983), with equality for a power of 2, and the power of given by the constant (Sloane's ). The sequence of cumulative counts of odd entries has some amazing properties, and the minimum possible value (Sloane's ) is known as the Stolarsky-Harborth constant Pascal's triangle contains the figurate numbers along its diagonals, as can be seen from the identity

25. SCOTT's MATH BOOKMARKS Math History Archives Historia Math Unsolved Problems Math WWW VL Education Banneker Insitute Scott's TOPOLOGY Bookmarks http://www.math.buffalo.edu/~sww/bookmarks/0math-marks.html

back to Scottmarks 130 free Mathematics Journals AMS NOTICES of the AMS MAA JSTOR search MathSciNet ... Math Forum - Math History FORUM MATH Calendar1 MATH Calendar2 Math WWW VL: Bibliographies Michigan Math Journal Online What's New - AMS Math History Archives Historia Math Unsolved Problems Math WWW VL: Education Banneker Insitute Scott's TOPOLOGY Bookmarks Eric's MATH WORLD M.A.D. H Search ... Math Journals on the Web MacTutor All bio's in MAD MATH ARCHIVES ... Life by the Numbers series Clay Mathematical Institute Wolfram's Treasure Trove of Math number watch forum ... KaBoL (special math links) Mathematics WWW Virtual Library My Physics Lab Math Guide (Germany) Scott's - Real M.A.T.H.S. Links Scott's - Math Help on the Web ABC's Who's Counting

26. Reexamining Nothing: Is The Vacuum Of Space Really Empty? :: TurulMeme Quantum chromodynamics (QCD), the theory that describes the strong nuclear Mysteries of Math Unsolved Problems Unexplained Patterns http://turulmeme.com/ajanlas/reexamining-nothing-is-the-vacuum-of-space-really-e

27. The Asteroid Surveying Problem And Other Puzzles C. S. Ogilvy. Tomorrow's Math Unsolved Problems for the Amateur. Oxford University Press, 1972. http://portal.acm.org/citation.cfm?id=777792.777848

28. Re: How Do We Know That ZF Is The Axiomatization That Proves Everything Provable problems in C. S. Ogilvy's Tomorrow's Math Unsolved Problems for the Amateur when I was in high school (he acknowledged.) How many rounds on the average does it take before http://sci.tech-archive.net/Archive/sci.logic/2008-02/msg00252.html

Re: How do We Know that ZF is the Axiomatization that Proves everything Provable? From Date : Thu, 7 Feb 2008 09:43:26 -0800 (PST) wrote: but I fail to see in support of what. In this excerpt he describes the attitude of many "ordinary mathematicians" that if such problems as the continuum hypothesis are too general and abstract, unsolvable using the ordinary principles of set theory, we should concentrate on their, possibly more manageable, special cases obtained by restricting our attention to some simpler, more structured class of sets (of reals, say). That's true of any problem. You start with simpler special cases and work your way up to the general case. I used that to solve one of the problems in C. S. Ogilvy's "Tomorrow's Math: Unsolved Problems for the Amateur" when I was in high school (he acknowledged.) How many rounds on the average does it take before someone has all the money when 3 players start with A, B and C coins, after each round one randomly chosen player receives one coin for each of the other players, and drop out when they reach 0? Divide and conquer.

29. Rational Box@Everything2.com a^2+((a^21)/2)^2+((((a^2+1)/2)^2-1)/2)^2 = ((((a^2+1)/2)^2+1)/2)^2 Reference C. Stanley Ogilvy, Tomorrow's Math Unsolved Problems for the Amateur. http://everything2.com/title/Rational box

Near Matches Ignore Exact Everything rational box idea by abiessu Tue Sep 04 2001 at 17:24:42 One of the unsolved problem s in math ematics. A number theory question Does there exist a rectangular box whose every edge and diagonal has integer length? By a rectangular box, I mean a six-sided polyhedron whose side s are all rectangle s. The diagonals of a box include the side diagonals and the main diagonal. A side diagonal joins opposite corners of a side. A main diagonal joins opposite corners of a box. To date, no such rational boxes are known to exist . It is an open question as to whether any exist at all. As a side note, it is trivial ly easy to come up with an integer main diagonal. Let a be an odd number. Then a^2 + ((a^2-1)/2)^2 is the square of (a^2+1)/2, which is odd. Then (((a^2+1)/2)^2-1)/2 and (((a^2+1)/2)^2+1)/2 are the other two numbers of a pythagorean triple . So the length of the diagonal would be (((a^2+1)/2)^2+1)/2 (if it were formed in this way), and the equation would look like: a^2+((a^2-1)/2)^2+((((a^2+1)/2)^2-1)/2)^2 = ((((a^2+1)/2)^2+1)/2)^2 Reference C. Stanley Ogilvy

30. Some Easy Unsolved Math Problems (High School Grade) [Archive] - Physics Forums What I often find are complicated math unsolved problems which require quite deep math knowledge that is not really taught at my gymnasium. Are there any open problems which fit me http://www.physicsforums.com/archive/index.php/t-407943.html

Physics Forums Mathematics General Math PDA View Full Version : Some easy unsolved math problems (High school grade) Atran Jun4-10, 02:35 PM Hi, I'm currently studying in high school. What I often find are complicated math unsolved problems which require quite deep math knowledge that is not really taught at my gymnasium. Are there any open problems which fit me? I know some easy problems such as: Is there any odd perfect number? Is 10 a friendly number?... I'm much more interested in algebra, geometry, calculus and trigonometry than numbers alone. I like finding a way/method using math symbols, I need problems which do not require big-number calculations. Thanks for help... Mu naught Jun4-10, 02:44 PM what makes you think those two questions are easy? Atran Jun4-10, 02:48 PM By 'easy' I mean that it's easy to understand the question. For instance, I know what a perfect number is, so "is there any odd perfect number" question is understood by me. Simon Malzard Jun4-10, 02:53 PM try this? http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics VeeEight Jun4-10, 03:13 PM

31. Unsolved Problems: References C. Stanley Ogilvy, Tomorrow's Math Unsolved Problems for the Amateur. 2nd edition. Oxford University Press. New York 1972. Ogilvy 1988 C. Stanley Ogilvy and John T. Anderson, http://cage.ugent.be/~hvernaev/problems/references.html

Unsolved Problems General References The following books contain unsolved problems or are referenced by the unsolved problem of the week 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

32. Ghosts, Helpful And Harmful, 1924 (0766179087) By Elliott O'Donnell @ BookFinder Tomorrow's Math Unsolved Problems for the Amateur by Charles Stanley Ogilvy (9780195015089) Every Thug Needs a Lady by Wahida Clark (9780974805115) http://www.bookfinder.com/dir/i/Ghosts,_Helpful_and_Harmful,_1924/0766179087/

33. Unsolved Problems Tomorrow s Math Unsolved problems for the amateur Charles Stanley Ogilvy Oxford University Press, New York 1962 Unknown binding. 182 pages. http://www.mathpropress.com/mathBooks/UnsolvedProblems.html

Unsolved Problems Algebraic GeometryOpen Problems C. Ciliberto Springer-Verlag , Berlin: 1983 Paperback. 411 pages. ISBN 0-387-12320-2 LCCN 83-012390 Continua: With the Houston Problem Book Volume 170 of the series Lecture Notes in Pure and Applied Mathematics Howard Cook, W. T. Ingram, and K. T. Kuperberg Marcel Dekker, City of publication unknown: 1995 Paperback. 402 pages. ISBN 0-8247-9650-0 Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry Florentin Smarandache Xiquan Publishing House, City of publication unknown: 2000 Paperback. 84 pages. ISBN 1-879585-74-X Erdos on Graphs: His legacy of unsolved problems Fan R. K. Chung and Ronald L. Graham A K Peters, Wellesley, MA: 1998 Hardcover. 142 pages. ISBN 1-56881-079-2 LCCN 97-046327 Mathématiques de demain, problèmes non résolus Charles Stanley Ogilvy Dunod, Paris: 1966 Unknown binding. 152 pages. French. LCCN 72-381436 Old and New Unsolved Problems in Plane Geometry and Number Theory Volume 11 of the series Dolciani mathematical expositions Victor Klee and Stan Wagon Mathematical Association of America , Washington, DC: 1991 Hardcover. 333 pages. ISBN 0-88385-315-9 LCCN 91-061591

34. Abbreviations Of Names Of Serials, Section U Unsolved Probl. in Intuitive Math. Unsolved Problems in Intuitive Mathematics. Springer, New York. Ural. Gos. Univ. Mat. Zap. Ural\cprime ski\u \i Gosudarstvenny\u \i Universitet http://www.ams.org/mathweb/annser_f/annser_U.html

Abbreviations of Names of Serials, Section U Uchen. Zap. TsAGI Ukrain. Geom. Sb. J. Math. Sci. (New York) ) ISSN 0135-6992. Ukrainian Math. J. ) ISSN 0041-6053. Ukrainian Math. J. Ukrainian Mathematical Journal. Consultants Bureau, New York. (Translation of ) ISSN 0041-5995. Ulam Quart. Ulam Quarterly. Ulam Center, West Palm Beach, FL. ISSN 1068-6010. Ultra Sci. Phys. Sci. Ultra Scientist of Physical Sciences. International Journal of Physical Sciences. Dr. A. H. Ansari, Bhopal. ISSN 0970-9150. UMAP J. The UMAP Journal. The Journal of Undergraduate Mathematics and its Applications. Consort. Math. Appl. (COMAP), Lexington, MA. ISSN 0197-3622. Undergrad. Texts Comput. Sci. Undergraduate Texts in Computer Science. Springer, New York. Undergrad. Texts Math. Undergraduate Texts in Mathematics. Springer, New York. Underst. Chem. React. Understanding Chemical Reactivity. Kluwer Acad. Publ., Dordrecht. See Korean J. Appl. Statist. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Univ. Iagel. Acta Math. Univ. Joensuu Dept. Math. Rep. Ser. University of Joensuu, Department of Mathematics Report Series. Univ. Joensuu, Joensuu. ISSN 1455-805X.

35. Can You Find Four Consecutive Prime Numbers That Add Up To 220? Solve equation Integers word problems Integer word problems Integer word problem worksheets Prime numbers activities Integer problems Fibonacci numbers math Unsolved problems prime numbers http://www.blurtit.com/q1707989.html

36. Convex Hull Optimization Problems Tomorrow's Math Unsolved Problems for the Amateur. Oxford University Press, 1972. 2 T.M.Chan, A. Golynski, A. LopezOrtiz, C-G. Quimper, Curves of Width One and the River Shore http://www.math.harvard.edu/~knill/various/wallstreet/index.html

You are a hunter in a forest. In an unknown direction to you but in known distance 1 is passes a street which is a straight line. What is the smartest way to walk in order to definitely reach the street? (Photo above: 360 degree panorama on Cape Ann , Winter 2008/2009) Curve optimization problems Oliver Knill , March 10-25, 2009 Problem with shortest curve Remark Best 2D Best 3D Known to be optimal in 2D starts at 0, convex hull contains D Hunter in forest No of width 1 Sailor in fog. Asteroid survey Yes [2] with convex hull containing D Convex hull problem Yes [5] closed with convex hull D Unique solution is the circle Yes closed of width 1 Curves of equal width Yes. Not unique A ndrew Ostergaard shared with me on March 6 a variational problem which he thinks has first appeared as an interview problem. The problem can be traced to [5] (1980). What is the shortest curve in the plane starting at the origin, which has a convex hull containing the unit disc? The problem can be embedded into a little story: you find yourself blindfolded in a forest, in distance 1 to a street. This straight line and located in an unknown direction to you. How do you walk best to reach the street for sure? For all solution attempts, I see that the convex hull of the curve consists of pieces of the perimeter or straight lines and there are only finitely many points, where the curve is discontinuous.

37. Landau's Ogilvy, C. S. Tomorrow's Math Unsolved Problems for the Amateur, 2nd ed. Oxford, England Oxford University Press, p. 116, 1972. Ribenboim, P. http://library.thinkquest.org/C006364/ENGLISH/problem/landau's.htm

Landau's Problems The four "unattackable" problems mentioned by Landau in the 1912 Fifth Congress of Mathematicians in Cambridge. The four were 1. The Goldbach conjecture, 2. Twin prime conjecture, 3. The conjecture that there exists a prime such that for every (Hardy and Wright 1979, p. 415; Ribenboim 1996, pp. 397-398), and 4. The conjecture that there are infinitely many primes of the form (Hardy and Wright 1979, p. 19; Ribenboim 1996, pp. 206-208). The first few primes which are of the form are given by 2, 5, 17, 37, 101, 197, 257, 401, ... (Sloane's A002496). These correspond to , 2, 4, 6, 10, 14, 16, 20, ... (Sloane's A005574; Hardy and Wright 1979, p. 19). Although it is not know if there always exists a prime such that , Chen (1975) has shown that a number which is either a prime or semiprime does always satisfy this inequality. Moreover, there is always a prime between and where (Iwaniec and Pintz 1984; Hardy and Wright 1979, p. 415). The smallest primes between and for , 2, ..., are 2, 5, 11, 17, 29, 37, 53, 67, 83, ... (Sloane's A007491). Goldbach Conjecture, Good Prime, Prime Number, Twin Prime Conjecture

38. History & Factoids : WebUrbanist Mysteries of Math Unsolved Problems Unexplained Patterns. What makes a math problem unsolvable? Answers with billions of digits might have something to do with it. http://weburbanist.com/category/history/

39. C. Stanley Ogilvy: Books By C. Stanley Ogilvy @ BookFinder.com Tomorrow's Math Unsolved Problems for the Amateur by Charles Stanley Ogilvy Hardcover, Oxford Univ Pr, ISBN 0195015088 (019-501508-8) http://www.bookfinder.com/author/c-stanley-ogilvy/

40. Free Science/Engineering EBooks Download From Rapidshare EBooks | Free Download Tomorrow's Math Unsolved Problems for the Amateur 2 Clinical Protocols in Obstetrics And Gynecology (2008) 8 H. L. Royden, Real Analysis 1 Interventional Neuroradiology http://www.ufindbook.com/science-engineering.html

free ebooks download more than 200,000 titles categorized in format of pdf, chm, html. ufindbook Technical Novel Nonfiction ... Submit You are here > Home Technical Free Science-engineering eBooks Download Categories Technical Internet/Networking Database/SQL Multimedi ... Subscribe in a reader Need Help Book Time of Death, Decomposition and Identification: An Atlas Plant Drug Analysis: A Thin Layer Chromatography Atlas Introduction to Radiometry and Photometry Advanced Mathematical Methods in Science and Engineering ... Z Science/Engineering Digg eBooks See More 3000 solved problems electric circuits Time of Death, Decomposition and Identification: An Atlas Biological Wastewater Treatment Second Edition Revised and Expanded by Leslie Grady Jr. ... Probability, Random Variables and Stochastic Processes: Book SM Popular Tags pdf amp isbn publisher ... See More Recent Add Science-engineering eBooks New World Situation: New Directions in Concurrent Engineering November 16th 2010 in Science/Engineering Read On No Comments History in Mathematics Education: An ICMI Study November 16th 2010 in Science/Engineering Read On No Comments Automotive Engines: Diagnosis, Repair, Rebuilding, 6 Edition

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 2     21-40 of 41    Back | 1  | 2  | 3  | Next 20