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Knee kinesiography in 2026: Current and future applications for digital orthopaedics and personalised total knee arthroplasty: A narrative review. [PDF]
Favroul C +3 more
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Harnessing acoustic topology for dynamic control of liquid crystal defects. [PDF]
Wu KH +6 more
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Biomechanical analysis of femoral component malalignment in medial unicompartmental knee arthroplasty. [PDF]
Wang F, Zhao J, He W, He H, Wang Q.
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A characterization of translation planes and dual translation planes of characteristic ≠2
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A family of translation planes [PDF]
Summary: An infinite family of non-Desarguesian translation planes of order \(q^4\) with kernel \(\text{GF}(q^2)\) is constructed, for any odd prime power \(q\). The collineation group of each plane has orbits of lengths 1, \(q^2\), and \(q^4- q^2\) on the translation line.
Andrew Hudson, Tim Penttila
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The Translation Planes of Dempwolff
Canadian Journal of Mathematics, 1981In [2], Dempwolff constructs three translation planes of order 16 using sharply 2-transitive sets of permutations in S16. That is, if acting on Λ is a sharply 2-transitive set of permutations then an affine plane of order n may be defined as follows: The set of points = {(x, y)|x, y ∊ Λ} and the lines = {(x, y)|y = xg for fixed }, {(x, y)|x = c}, {(x,
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Translating polygons in the plane
2005Let P = (p1,...,pn) and Q = (q1,...,qm) be two simple polygons with non-intersecting interiors in the plane specified by their cartesian coordinates in order. Given a direction d we can ask whether P can be translated an arbitrary distance in direction d without colliding with Q. It has been shown that this problem can be solved in time proportional to
Jörg-Rüdiger Sack +1 more
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SOME CLASSES OF TRANSLATION PLANES
The Quarterly Journal of Mathematics, 1984This article considers the following. Let \(\pi\) be a finite translation plane of order \(p^ r\) with an autotopism group G which has an orbit of length \(p^ r\)-p on \(\ell_{\infty}\), the line at infinity. The authors make the following additional assumptions: (a) p is an odd prime and \(r=2\); (b) G acts faithfully on \(\ell_{\infty}\).
Cohen, Stephen D., Ganley, Michael J.
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