Algorithms for recognizing knots and 3-manifolds
, 1997 This is a survey paper on algorithms for solving problems in 3-dimensional topology. In particular, it discusses Haken's approach to the recognition of the unknot, and recent variations.Comment: 17 Pages, 7 figures, to appear in Chaos, Fractals and ...
Birman +29 more
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Summing Sneddon–Bessel series explicitly
Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6590-6606, 15 May 2024.We sum in a closed form the Sneddon–Bessel series ∑m=1∞Jα(xjm,ν)Jβ(yjm,ν)jm,ν2n+α+β−2ν+2Jν+1(jm,ν)2,$$ \sum \limits_{m=1}^{\infty}\frac{J_{\alpha}\left(x{j}_{m,\nu}\right){J}_{\beta}\left(y{j}_{m,\nu}\right)}{j_{m,\nu}^{2n+\alpha +\beta -2\nu +2}{J}_{\nu +1}{\left({j}_ ...
Antonio J. Durán +2 more
wiley +1 more source
Estimates for the dilatation of $\sigma$-harmonic mappings
, 2014 We consider planar $\sigma$-harmonic mappings, that is mappings $U$ whose components $u^1$ and $u^2$ solve a divergence structure elliptic equation ${\rm div} (\sigma \nabla u^i)=0$, for $i=1,2$.
Alessandrini, Giovanni, Nesi, Vincenzo
core
Two-dimensional Newton's problem of minimal resistance [PDF]
, 2006 Newton's problem of minimal resistance is one of the first problems of optimal control: it was proposed, and its solution given, by Isaac Newton in his masterful Principia Mathematica, in 1686. The problem consists of determining, in dimension three, the
Silva, C.J., Torres, D.F.M.
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Normothermic Ex Situ Machine Perfusion of Vascularized Composite Allografts with Oxygen Microcarriers for 12 Hours Using Real-Time Mitochondrial Redox Quantification. [PDF]
J Clin Med, 2023 Haug V +8 more
europepmc +1 more source
Avoiding scar tissue formation of peripheral nerves with the help of an acellular collagen matrix. [PDF]
PLoS One, 2023 Aman M +8 more
europepmc +1 more source
Microporous Polylactic Acid Scaffolds Enable Fluorescence-Based Perfusion Imaging of Intrinsic In Vivo Vascularization. [PDF]
Int J Mol Sci, 2023 Koepple C +6 more
europepmc +1 more source
Kneser's property of solution families of non-linear Volterra integral equations
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1974 Consider a system of nonlinear integral equations of Volterra-type (P) x(t) f(t)+[o g(t, s, x(s))ds. Recently R. K. Miller and G. R. Sell [1] proved some fundamental theorems of (P) under airly general assumptions on f(t) and g(t, s, x) similaro the Carathodory-ype.
Nakagiri, Shin-ichi, Murakami, Haruo
openaire +2 more sources
Effective or Harmful-Evaluation of Locally Applied Antibiotics on Adipose Tissue during Lipofilling to the Breast-An In Vitro Study. [PDF]
Int J Mol Sci, 2023 Diehm YF +7 more
europepmc +1 more source
Graphs Cospectral with Kneser Graphs [PDF]
AMS Subject Classification: 05C50Kneser graph;Johnson scheme;Spectral ...
Haemers, W.H., Ramezani, F.
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