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1 18 Lattices, fundamental parallelepiped and dual of a lattice, shortest vectors, Blichfield's theorem [开放课件]

授课人:Prof. Jonathan Kelner

课程:Topics in Theoretical Computer Science: An Algorithmist's Toolkit,

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2 3 Courant-Fischer and Rayleigh quotients, graph cutting, Cheerger's Inequality [开放课件]

授课人:Prof. Jonathan Kelner

课程:Topics in Theoretical Computer Science: An Algorithmist's Toolkit,

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3 13 Brunn-Minkowski inequality (cont.), Brunn's theorem, isoperimetric inequality, Grunbaum's theorem [开放课件]

授课人:Prof. Jonathan Kelner

课程:Topics in Theoretical Computer Science: An Algorithmist's Toolkit,

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4 16 Concentration of measure and the isoperimetric inequality, Johnson-Lindenstrauss theorem [开放课件]

授课人:Prof. Jonathan Kelner

课程:Topics in Theoretical Computer Science: An Algorithmist's Toolkit,

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5 19 Minkowski's theorem, shortest/closest vector problem, lattice basis reduction, Gauss' algorithm [开放课件]

授课人:Prof. Jonathan Kelner

课程:Topics in Theoretical Computer Science: An Algorithmist's Toolkit,

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6 12 Separating hyperplanes (cont.), Banach-Mazur distance, Fritz John's theorem, Brunn-Minkowski inequality [开放课件]

授课人:Prof. Jonathan Kelner

课程:Topics in Theoretical Computer Science: An Algorithmist's Toolkit,

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使用许可:CC BY-NC-SA

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