179 research outputs found

    Erosion in the western part of the Kisii District

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    Baseline Review of the Upper Tana, Kenya

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    http://greenwatercredits.net/sites/default/files/documents/isric_gwc_report8.pd

    Two-dimensional projections of an hypercube

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    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

    Report of the Green Water Credits workshop

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    Combinatorial expression for universal Vassiliev link invariant

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    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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