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  • Mathematicians solve a complex, 120 year-old problem...

    ...and it still doesn't help them get laid.

    The latest news and headlines from Yahoo News. Get breaking news stories and in-depth coverage with videos and photos.


    Mathematicians solve E8 structure

    Mon Mar 19, 8:17 AM ET

    WASHINGTON (AFP) - After four years of intensive collaboration, 18 top mathematicians and computer scientists from the United States and Europe have successfully mapped E8, one of the largest and most complicated structures in mathematics, scientists said late Sunday.

    Jeffrey Adams, project leader and mathematics professor at the University of Maryland said E8 was discovered over a century ago, in 1887, and until now, no one thought the structure could ever be understood.

    "This groundbreaking achievement is significant both as an advance in basic knowledge, as well as a major advance in the use of large scale computing to solve complicated mathematical problems," Adams said.

    He added that the mapping of E8 may well have unforeseen implications in mathematics and physics which won't be evident for years to come.

    E8 belongs to so-called Lie groups that were invented by a 19th century Norwegian mathematician, Sophus Lie, to study symmetry.

    The theory holds that underlying any symmetrical object, such as a sphere, is a Lie group.

    Balls, cylinders or cones are familiar examples of symmetric three-dimensional objects.

    However, mathematicians study symmetries in higher dimensions. In fact, E8 itself is 248-dimensional.

    Today string theorists search for a theory of the universe by looking at E8 X E8.

    The scientists said the magnitude of the E8 calculation invited comparison with the
    Human Genome Project.

    While the human genome, which contains all the genetic information of a cell, is less than a gigabyte in size, the result of the E8 calculation, which contains all the information about E8, is 60 gigabytes in size, they said.

    This is enough to store 45 days of continuous music in MP3-format. If written out on paper, the answer would cover an area the size of Manhattan.
    Ok, Apolytonite geniuses. What, besides squat, does this mean?
    The cake is NOT a lie. It's so delicious and moist.

    The Weighted Companion Cube is cheating on you, that slut.

  • #2
    diddley-squat?

    and no pic of this E8 thing?

    But yes, I agree. They need to be mapping the human female breast. It's a project I'm currently working on.

    Comment


    • #3
      60GB of it...

      ...the E8, not the female breast.
      The cake is NOT a lie. It's so delicious and moist.

      The Weighted Companion Cube is cheating on you, that slut.

      Comment


      • #4
        The theory holds that underlying any symmetrical object, such as a sphere, is a Lie group.

        Balls, cylinders or cones are familiar examples of symmetric three-dimensional objects.

        However, mathematicians study symmetries in higher dimensions. In fact, E8 itself is 248-dimensional.


        They've solved the problem of heavenly tits? If they didn't get any, it would be very geek.

        OK, burn me in brimestone for a few years for that one.
        (\__/)
        (='.'=)
        (")_(") This is Bunny. Copy and paste bunny into your signature to help him gain world domination.

        Comment


        • #5




          This baby has 240 vectors in an eight-dimensional space. These vectors are the corners of an eight-dimensional object called the Gosset polytope 4 21 represented here in two dimensions
          In da butt.
          "Do not worry if others do not understand you. Instead worry if you do not understand others." - Confucius
          THE UNDEFEATED SUPERCITIZEN w:4 t:2 l:1 (DON'T ASK!)
          "God is dead" - Nietzsche. "Nietzsche is dead" - God.

          Comment


          • #6
            We finished proof of classification of irreducible root systems of Lie algebras last week, in my Lie algebra class, so briefly discussed this one.

            Comment


            • #7
              And what do you do with it? Well what do you do with math altogether... understand the real world a bit better. And you might find problems that this result helps to solve in the future. It might be like a key to a lock.
              In da butt.
              "Do not worry if others do not understand you. Instead worry if you do not understand others." - Confucius
              THE UNDEFEATED SUPERCITIZEN w:4 t:2 l:1 (DON'T ASK!)
              "God is dead" - Nietzsche. "Nietzsche is dead" - God.

              Comment


              • #8
                PRETTY!

                Comment


                • #9
                  Originally posted by Pekka
                  And what do you do with it? Well what do you do with math altogether... understand the real world a bit better. And you might find problems that this result helps to solve in the future. It might be like a key to a lock.
                  But I thought the general consensus was that our universe has 11 dimensions (three physical, one temporal, and a bunch of others we can't directly sense), not 248. I'll take 7 inconceivable dimensions (added to the 4 we can sense) over 248 imaginary math geek wetdream dimensions any day of the week.
                  The cake is NOT a lie. It's so delicious and moist.

                  The Weighted Companion Cube is cheating on you, that slut.

                  Comment


                  • #10
                    And I'll take science and research over blaablaablaa.

                    In da butt.
                    "Do not worry if others do not understand you. Instead worry if you do not understand others." - Confucius
                    THE UNDEFEATED SUPERCITIZEN w:4 t:2 l:1 (DON'T ASK!)
                    "God is dead" - Nietzsche. "Nietzsche is dead" - God.

                    Comment


                    • #11
                      Originally posted by DRoseDARs


                      But I thought the general consensus was that our universe has 11 dimensions (three physical, one temporal, and a bunch of others we can't directly sense), not 248. I'll take 7 inconceivable dimensions (added to the 4 we can sense) over 248 imaginary math geek wetdream dimensions any day of the week.
                      You have no idea what you're talking about.
                      Dimension, in general, is just a way to count how many variables we need to describe an "object" and has nothing to do with your "bunch of others we can't directly sense".
                      There are many ways more than 11 dimensions are useful.
                      In classical physics in 3 dimensions+time, for example, to describe completely a system, you need 6 variables over time per particle, thus 6 dimensions. So to describe a 2 particle system, you already need 12.
                      Say in biology, if you have genotypes with a few thousand genes determining how "close" they are (to determine ancestry for example) would be akin to computing distances between vectors in thousands dimensional spaces.
                      I could go on so easily it's not funny.
                      Last edited by Lul Thyme; March 20, 2007, 07:33.

                      Comment


                      • #12
                        You have no idea what you're talking about.

                        I think that's why he was making a joke.
                        "The issue is there are still many people out there that use religion as a crutch for bigotry and hate. Like Ben."
                        Ben Kenobi: "That means I'm doing something right. "

                        Comment


                        • #13
                          I'll call your flat earth and raise it with earth being the center of the universe.
                          In da butt.
                          "Do not worry if others do not understand you. Instead worry if you do not understand others." - Confucius
                          THE UNDEFEATED SUPERCITIZEN w:4 t:2 l:1 (DON'T ASK!)
                          "God is dead" - Nietzsche. "Nietzsche is dead" - God.

                          Comment


                          • #14
                            I just mapped E8 myself

                            Find local businesses, view maps and get driving directions in Google Maps.
                            The enemy cannot push a button if you disable his hand.

                            Comment


                            • #15
                              Here's the map of E8 from Wikipedia:



                              4 years

                              "The issue is there are still many people out there that use religion as a crutch for bigotry and hate. Like Ben."
                              Ben Kenobi: "That means I'm doing something right. "

                              Comment

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