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FORMULAE FOR THE CALCULATION AND ESTIMATION OF WRITHE

    https://doi.org/10.1142/S021821659500017XCited by:39 (Source: Crossref)
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    Abstract

    Detailed analyses and proofs of various formulae used for the calculation and estimation of the writhe of a space curve are given. A new formula for calculating the rate of change of writhe under smooth deformation is presented. This latter result is used to show that the writhe of a closed curve evolving under certain nonlinear evolution equations is conserved.