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140 year old math problem SOLVED!

  1. Mar 4, 2008 #1
    I am not entirely sure about the details but thought I would share...

    Link to Press Release:


    A problem, the Schwarz-Christoffel formula which has defeated mathematicians for almost 140 years has been solved by a researcher at Imperial College London.

    More detail:
    he Schwarz-Christoffel mapping maps a suitably "nice" (such as the interior of the unit circle, or the upper half plane) region of the complex plane (numbers of the form x+iy, mapped as (x,y) in cartesian coords, where i^2 = -1) to the interior of a general polygon (in the complex plane) in a conformal manner (angles are preserved). However, the polygon must be "simply connected" (any loop can be smoothly shrunk to a point, without getting "caught" around a hole); a few "multiply connected" polygons were possible, but not in the general case. Now it appears the formula can be extended to include polygons that include such a hole (such as perhaps the area outside a small square, but inside a larger one), to be mapped to some member well-described family of regions like the exterior of several unit disks
    http://sinews.siam.org/old-issues/2008/januaryfebruary-2008/breakthrough-in-conformal-mapping [Broken]
    Last edited by a moderator: May 3, 2017
  2. jcsd
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