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1.   2. Crystal Geometry Crystals Lattice Lattice points, lattice translations Cell--Primitive & non primitive Lattice parameters Crystal=lattice+motif 3. Matter Crystalline…

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1. Crystallography 2. In 1669 Nicolaus Steno found angles between adjacent prism faces of quartz crystal (interfacial angle), to be 120 °.In 1780 Carangeot invented the…

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Documents 1 The Complexity of Lattice Problems Oded Regev, Tel Aviv University Amsterdam, May 2010 (for more.....

Slide 1 1 The Complexity of Lattice Problems Oded Regev, Tel Aviv University Amsterdam, May 2010 (for more details, see LLL+25 survey) Slide 2 Lattice v1v1 v2v2 0 2v 1 v…