Algorithms for the Densest Sub-Lattice Problem Daniel Dadush∗ Daniele Micciancio† November 16, 2012

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• Lattice points
• Abstract algebra
• Matrix theory
• Quadratic forms
• Lattice
• Geometry of numbers
• Vector space
• Determinant
• Linear independence
• Algebra
• Mathematics
• Linear algebra

UNIVERSITY OF CALIFORNIA, RIVERSIDE DEPARTMENT OF COMPUTER SCIENCE 2006 DEPTH EXAMINATION IN THEORY OF OF COMPUTATION AND ALGORITHMS • There are 10 problems on the test. Each problem is worth 10 points. The ordering o

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• NP
• Time complexity
• P
• FL
• FO
• Turing machine
• Computational complexity theory
• Theoretical computer science
• Applied mathematics
• Complexity classes

A Fast Phase-Based Enumeration Algorithm for SVP Challenge through y-Sparse Representations of Short Lattice Vectors ? ?? Dan Ding1 , Guizhen Zhu2 , Yang Yu1 , Zhongxiang Zheng1 1 Department of Computer Science and Tech

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• Lattice points
• Cryptography
• Computational number theory
• Linear algebra
• Quadratic forms
• Lattice problem
• Lattice reduction
• Lattice
• Lenstra–Lenstra–Lovász lattice basis reduction algorithm
• Algebra
• Mathematics
• Abstract algebra

Thursday, July 8, 2010 Problem 4. Let P be a point inside the triangle ABC. The lines AP , BP and CP intersect the circumcircle Γ of triangle ABC again at the points K, L and M respectively. The tangent to Γ at C inter

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19th Nordic Mathematical Contest April 5, 2005 Problem 1. Find all positive integers k such that the product of the digits of k, in the decimal system, equals

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• Conic sections
• Curves
• Circle
• Pi
• Tangent
• Concyclic points
• Geometry
• Elementary geometry
• Analytic geometry

SOLUTIONS FOR IMO 2005 PROBLEMS AMIR JAFARI AND KASRA RAFI Problem 1. Six points are chosen on the sides of an equilateral triangle ABC: A1 , A2 on BC; B1 , B2 on CA; C1 , C2 on AB. These points are the vertices of a con

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• Coprime
• Number theory

Activities for Students No. 1 Topography and Bathymetry Problem: How does the elevation of the highest peak on

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• Himalayas
• Oceanography
• Plate tectonics
• Mariana Trench
• Philippine Sea
• Bathymetry
• Challenger Deep
• Oceanic trench
• Mount Everest
• Physical geography
• Geography
• Extreme points of Earth

Winter 2007 Midterm Solutions Problem 1: True/False (a) (3 points) If a node n1 dominates a node n2, then n1 is always visited before n2 in a depth-first search. TRUE. By the definition of domination, all paths that lead

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• Rivers
• Water transport infrastructure
• Monotone
• Data-flow analysis
• Software
• Canals
• Lock

Stat/EE 520, Spring Quarter 2015 Problem Set 1 Problem 1 (2 points for each of the 5 parts). Exercise [1.2], pages 18–9, Chapter 1 of SAPA2e (draft of book being used as course textbook). Problem 2 (6 points). Exercise

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Stat/EE 520, Spring Quarter 2015 Problem Set 2 Problem 4 (2 points for each of the 5 parts). Exercise [2.1], page 45, Chapter 2 of SAPA2e. Problem 5 (1 point for each of the 4 parts). Exercise [2.3], page 45, Chapter 2.

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