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Lattice problem
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61	THE CONTENTS OF THIS TEXT ARE ADAPTED FROM THE TYPED N O T E S O F S E A N S AT H E R - W A G S TA F F, F R O M A C O U R S E G I V E N B Y B E N E D I C T G R O S S I N U TA H I N , W H I C H U S E S M A N Y I Add to Reading List Source URL: slugmath.ucsc.edu Language: English - Date: 2009-04-13 11:28:00 Lie groups Algebraic structures Mathematical structures Group theory Lattice Vector space Principal homogeneous space Ideal lattice cryptography Congruence lattice problem Algebra Abstract algebra Mathematics
62	On a class of meaningful permutable laws Jean-Claude Falmagne University of California, Irvine September 21, 2012 Abstract The permutability equation G(G(x, y), z) = G(G(x, z), y) is satisfied by many Add to Reading List Source URL: www.imbs.uci.edu Language: English - Date: 2014-11-04 13:01:39 Congruence lattice problem Lattice theory Symbol Differential geometry Physics Mathematical analysis
63	How does order emerge? 13 March 2015 Universität Munich, the Freie Universität Berlin, and the Consejo Superior de Investigaciones Científicas in Madrid have succeeded in measuring the emergence of order in a clean an Add to Reading List Source URL: phys.org Language: English - Date: 2015-04-18 07:04:20 Quantum phases Quantum mechanics Lattice models Phase transition Optical lattice Quantum optics Many-body problem Quantum phase transition Bose–Einstein condensate Physics Condensed matter physics Statistical mechanics
64	Can Disordered Sphere Packings Ever Be Maximally Dense? Salvatore Torquato Princeton Center for Theoretical Science Department of Chemistry and Materials Institute, Princeton University, Princeton, NJ, USA Add to Reading List Source URL: cherrypit.princeton.edu Language: English - Date: 2008-12-08 18:22:45 Spheres Crystallography Lattice points Quadratic forms Sphere packing Packing problem Random close pack Close-packing of equal spheres E8 lattice Geometry Mathematics Discrete geometry
65	AIAA Paper[removed]Re-engineering Aerodynamics Education David Darmofal, Earll Murman Aeronautics & Astronautics Massachusetts Institute of Technology Add to Reading List Source URL: raphael.mit.edu Language: English - Date: 2009-02-05 12:50:50 Educational psychology Aerospace engineering Vortex lattice method Student-centred learning American Institute of Aeronautics and Astronautics Problem-based learning Wind tunnel Project-based learning Aeroprediction Education Aerodynamics Fluid dynamics
66	PHYSICAL REVIEW E 89, [removed]Dense periodic packings of tori Ruggero Gabbrielli* Interdisciplinary Laboratory for Computational Science, Department of Physics, University of Trento, 38123 Trento, Italy Add to Reading List Source URL: cherrypit.princeton.edu Language: English - Date: 2014-02-24 06:28:30 Crystallography Lattice points Sphere packing Spheres Torus Packing problem Bravais lattice Tetrahedron packing Geometry Mathematics Discrete geometry
67	Extended Hidden Number Problem and Its Cryptanalytic Applications Martin Hlav´ aˇc1, and Tom´ aˇs Rosa1,2 1 Add to Reading List Source URL: crypto.hyperlink.cz Language: English - Date: 2010-02-03 01:38:10 Linear congruence theorem Lattice problem Mathematics Modular arithmetic Cryptography
68	NEWS MAR[removed]No[removed] Add to Reading List Source URL: www.nict.go.jp Language: English - Date: 2014-08-13 01:18:16 Key size Lattice problem Quantum computer Cipher Post-quantum cryptography Symmetric-key algorithm Public-key cryptography Cryptanalysis Key Cryptography CRYPTREC Lattice-based cryptography
69	Lattice Reduction: a Toolbox for the Cryptanalyst Antoine Joux Jacques Stern Add to Reading List Source URL: www1.lip6.fr Language: English - Date: 2015-01-20 15:22:52 Linear algebra Computational number theory Cryptography Lattice reduction Lenstra–Lenstra–Lovász lattice basis reduction algorithm Lattice problem Lattice Integer relation algorithm Vector space Mathematics Algebra Lattice points
70	PACIFIC JOURNAL OF MATHEMATICS Vol. 49, No. 1, 1973 CONGRUENCE LATTICES OF SEMILATTICES RALPH FREESE AND Add to Reading List Source URL: authors.library.caltech.edu Language: English - Date: 2012-12-26 03:41:44 Algebraic structures Lattice theory Semilattice Congruence lattice problem Distributivity Lattice Subdirectly irreducible algebra Free lattice Semigroup Abstract algebra Mathematics Algebra

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