179 research outputs found
Baseline Review of the Upper Tana, Kenya
http://greenwatercredits.net/sites/default/files/documents/isric_gwc_report8.pd
Two-dimensional projections of an hypercube
We present a method to project a hypercube of arbitrary dimension on the
plane, in such a way as to preserve, as well as possible, the distribution of
distances between vertices. The method relies on a Montecarlo optimization
procedure that minimizes the squared difference between distances in the plane
and in the hypercube, appropriately weighted. The plane projections provide a
convenient way of visualization for dynamical processes taking place on the
hypercube.Comment: 4 pages, 3 figures, Revtex
Combinatorial expression for universal Vassiliev link invariant
The most general R-matrix type state sum model for link invariants is
constructed. It contains in itself all R-matrix invariants and is a generating
function for "universal" Vassiliev link invariants. This expression is more
simple than Kontsevich's expression for the same quantity, because it is
defined combinatorially and does not contain any integrals, except for an
expression for "the universal Drinfeld's associator".Comment: 20 page
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