Learning Resources for Students, Families and Teachers

Search over 100,000 research quality URLs

StudySphere provides fast, easy and free access to a wide variety of research-quality child-safe websites organized for education online from home, school, study abroad and home school. StudySphere’s goal is to help students, teachers, librarians, and other researchers find both highly targeted and closely related information quickly.

Unsolved Problems

/Home/Mathematics/Advanced Math/Unsolved Problems


		Algorithmic Information Theory ^Votes:0 A LGORITHMIC I NFORMATION T HEORY Algorithmic information theory ( AIT ) is the result of putting Shannon's information theory and Turing's computability theory into a cocktail shaker and shaking vigorously. The basic idea is to measure the complexity of an object by the size in bits of the smallest program for computing it. ( G. J. Chaitin ) M EMBERS C. Calude , G. Chaitin , M. Dinneen , B. Khoussainov , A. Nies O PEN P ROBLEMS An open questions paper by Joe Miller and Andre Nies. S OFTWARE FOR AIT AIT-related software on Greg Chaitin's page . M EETINGS IN AIT Special session Computability and Randomness at TAMC07 , Computability Theory at Joint Meeting of the AMS-NZMS 2007 Read More Go to Site


		Games on Graphs ^Votes:0 Games on Graphs Three for the Money: The Degree/Diameter Problem Description Students can understand and work on an unsolved problem in mathematics. There is a good chance that this problem can be solved by someone who spends enough time experimenting with it. The only skills required to work on it are the ability to draw dots and connect them with lines, and the understanding of four ideas related to graphs: degree , diameter , planarity , and size . (These concepts can be explored in the story Superperson Saves the Monster ). Materials Instructions Ideas for discussion Materials One large copy of the puzzle graph that all students can see, such as one that is drawn on the floor with masking tape, or a copy for each student or group of students. Paper and pencil should be handy so student Read More Go to Site

		HAKMEM -- CONTENTS -- DRAFT, NOT YET PROOFED ^Votes:0 Massachusetts Institute of Technology A. I. Laboratory Artificial Intelligence Memo No. 239 February 29, 1972 HAKMEM contents index M. Beeler [beeler@bbn.com] R. W. Gosper [rwg@newton.macsyma.com] R. Schroeppel [rcs@cs.arizona.edu] [Retyped and formatted in 'html' ('Web browser format) by Henry Baker, April, 1995. The goal of this 'html' document is to make HAKMEM available to the widest possible audience -- including those without bitmapped graphics browsers. Therefore, equations have been formatted to be readable even on ASCII browsers such as 'lynx' . Click here to get original AI Memo 239 in 400 dots/inch, 1 bit/pixel, Group 4 facsimile TIFF format (a single 5 megabyte gzip compressed tar file, AIM-239.tiff.tar.gz).] Work reported herein was conducted at the Artificial Intelligence Lab Read More Go to Site

		Infrared Processing and Analysis Center ^Votes:0 science and data center for infrared astronomy ABOUT IPAC MISSIONS & PROGRAMS SCIENCE RESEARCH EDUCATION & OUTREACH Data Archives and Tools + NASA/IPAC Infrared Science Archive (IRSA) + NASA/IPAC Extragalactic Database (NED) + Spitzer Data Archive + MSC Archives + NASA/IPAC/MSC Star and Exoplanet Database (NStED) + Additional Tools Science Support Centers + Spitzer Science Center (SSC) + Michelson Science Center (MSC) + NASA Herschel Science Center (NHSC) Science Research Projects + Spitzer Wide-area InfraRed Extragalactic survey (SWIRE) + Spitzer Infrared Nearby Galaxies Survey (SINGS) + MIPS Galactic Plane Survey (MIPSGAL I and II ) + Great Observatory All-sky LIRG Survey (GOALS) + Taurus Spitzer Legacy Project + 5 mJy Extragalactic Spectroscopic Survey Operational Missions + Spitzer Spa Read More Go to Site

		Mathematical mysteries: Kepler's conjecture ^Votes:0 about Plus support Plus subscribe to Plus terms of use search plus with google home latest issue explore the archive careers library news © 1997-2004, Millennium Mathematics Project, University of Cambridge. Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Issue 3 September 1997 Contents Features Coding theory: the first 50 years Mathematics, marriage and finding somewhere to eat Dynamic programming: an introduction Decoding a war time diary The life and numbers of Fibonacci Career interview Student interview - Sarah Hudson Career interview - Meteorologist Regulars Plus puzzle Pluschat Mystery mix Letters Staffroom A-Levels: a post-mortem IT and Dearing Travel bursary for conference re Read More Go to Site

		Prime numbers ^Votes:0 " +" " + mess + " Read More Go to Site

		Statistics IB ^Votes:0 University of Cambridge > Mathematics > Statistical Laboratory > Richard Weber > Unsolved Problems Unsolved Problems in OR This page contains a list of open problems that I find intriguing. They are not as difficult or as significant as the question of whether P does or not equal NP. But these are problems that are easy to state and understand, but whose solution has defied the efforts of good researchers over a number of years. Most of these problems are in the realm of stochastic optimization. I would love to see a solution to any of these problems. The bomber problem See description The rendezvous problem See description Search for a moving target See abstract Non-preemptive release of stochastic jobs to uniform machines See abstract The unimportance of inserted idle time in Read More Go to Site

		The 3x+1 problem and its generalizations ^Votes:0 The 3x+1 problem and its generalizations*** Jeff Lagarias AT&T Bell Laboratories Murray Hill, New Jersey Math activated text Other available formats Related links Author biography Abstract: (taken from the Introduction) The 3x+1 problem, also known as the Collatz problem, the Syracuse problem, Kakutani's problem, Hasse's algorithm , and Ulam's problem , concerns the behavior of the iterates of the function which takes odd integers n to 3n+1 and even integers n to n/2 . The 3x+1 Conjecture asserts that, starting from any positive integer n , repeated iteration of this function eventually produces the value 1 . The 3x+1 Conjecture is simple to state and apparently intractably hard to solve. It shares these properties with other iteration problems, for example that of aliquot sequences and wi Read More Go to Site

		There are really impossible things ^Votes:0 . --> G o o g l e Web CTK Sites for teachers Sites for parents Terms of use Awards Interactive Activities CTK Exchange Games & Puzzles What Is What Arithmetic/Algebra Geometry Probability Outline Mathematics Make an Identity Book Reviews Eye Opener Analog Gadgets Inventor's Paradox Did you know?... Proofs Math as Language Things Impossible Visual Illusions My Logo Math Poll Cut The Knot! MSET99 Talk Other Math sites Front Page Movie shortcuts Personal info Reciprocal links Privacy Policy Guest book News sites Recommend this site --> Sites for teachers Sites for parents Education & Parenting --> --> There are really impossible things... Who says nothing is impossible? Some people do it every day! Alfred E. Neuman The fact that there are impossible things is hardly surprising. It's obvious ( Read More Go to Site

StudySphere is an outstanding resource for homework help, special education, music school, cooking school, charter schools, art schools, technical schools, traffic school, film schools, catholic schools, etc.