MCS 590 – Foundations of Data Science Spring 2015 Problem Set 3 Lev Reyzin Due: at the beginning of class Instructions: Atop your problem set, please write your name and list your collaborators.

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PROBLEM SET 11: GENERATING FUNCTIONS DUE: A formal power series is an infinite sum A(x) = a0 + a1 x + a2 x2 + a3 x3 + · · · where the coefficients lie in Q, R or in C (or some other field, for example the f

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PROBLEM SET 8: SEQUENCES AND SERIES Definition 1. A sequence of real numbers x1 , x2 , x3 , . . . converges to a real number x if for every δ > 0 there exists a positive integer N such that for all n ≥ N we have |xn

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MCS 521 – Combinatorial Optimization Fall 2013 Problem Set 2 Lev Reyzin Due: at the beginning of class

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MATH 289 PROBLEM SET 1: INDUCTION 1. The induction Principle The following property of the natural numbers is intuitively clear: Axiom 1. Every nonempty subset of the set of nonnegative integers Z≥0 = {0, 1, 2, 3, . .

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MCS 441 – Theory of Computation I Spring 2013 Problem Set 8 Lev Reyzin Due: at the beginning of class Related reading: Chapters 5 and 6.

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1 CS229 Problem Set #1 CS 229, Spring 2016 Problem Set #1: Supervised Learning

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Finding a Collective Set of Items: From Proportional Multirepresentation to Group Recommendation Piotr Skowron and Piotr Faliszewski and J´erˆome Lang Abstract We consider the following problem: There is a set of items

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C Executive Summary The Problem: Today’s DoD missions operate over a large, heterogeneous, distributed set of computing resources—from personal mobile devices to massively parallel multicomputers managing millions o

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• Computing
• Security
• Routing
• Distributed computing
• Computer security
• EigenTrust
• Node
• Fabric of Security

MATH 210A PROBLEM SET 4 Do 6 of the following 7 problems. This problem set will be due on Thursday October 30 at noon in Evita Nestoridi’s mailbox on the first floor of the mathematics department, or in class. If and

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• Functors
• Abstract algebra
• Algebra
• Mathematics
• Group theory
• Natural transformation
• Spectral sequence