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Sociable numbers Carl Pomerance Dartmouth College with Mitsuo Kobayashi Dartmouth College Paul Pollack University of Illinois Urbana Homer 1 2 Pythagoras 3 Sum of proper…

Sociable numbers Carl Pomerance Dartmouth College with Mitsuo Kobayashi Dartmouth College Paul Pollack University of Illinois Urbana Sum of proper divisors Let sn be the…

Chapter 1 Algebraic numbers and algebraic integers 11 Algebraic numbers Definition 11 The number α ∈ C is said to be algebraic if it satisfies a polynomial equation xn…

Methods for primitive and normal polynomials Stephen D Cohen University of Glasgow Fields-Carleton Finite Fields Workshop Ottawa, 21 July, 2010 Preliminaries Throughout Fq…

String-orthogonal polynomials String Equations and Two-Toda Symmetries∗ M Adler† P van Moerbeke‡ Table of contents: 1 The 2-Toda lattice and its generic symmetries…

� � Certi�ed solutions of polynomials with uncertainties David Daney Jean Pierre Merlet Odile Pourtallier Coprin team INRIA Sophia Antipolis Méditerranée December…

Mathematische Math Arm 261 515-534 1982 ΑΙΗΗΐΙβη © Springer Verlag 1982 Factoring Polynomials with Rational Coefficients A K Lenstra1 H W Lenstra Jr 2 and L Lovasz3…

The kissing polynomials and their Hankel determinants Alfredo Deaño Daan Huybrechs and Arieh Iserles April 28 2015 Abstract We study a family of polynomials that are orthogonal…

LEARNING POLYNOMIALS WITH QUERIES: THE HIGHLY NOISY CASE∗ ODED GOLDREICH† RONITT RUBINFELD‡ AND MADHU SUDAN§ Abstract Given a function f mapping n-variate inputs from…

DIGRAPHS AND CYCLE POLYNOMIALS FOR FREE-BY-CYCLIC GROUPS YAEL ALGOM-KFIR ERIKO HIRONAKA AND KASRA RAFI Abstract Let φ ∈ OutFn be a free group outer automorphism that can…

Group Members  2009-CH-242  2009-CH-227  2009-CH-237  2009-CH-203  2009-CH-229 Gulfam Raza Haidery 2009-CH-242 Importance of dimensionless numbers in mass…

An introduction to the theory of numbersAn Introduction to the (CIP) :6:1 () (Hardy, G. H. ), () (Wright E. M. ): 29.1 1 (·) An IntroduC'ion e Theçryof

1.1 Algebraic numbers Definition 1.1. The number α ∈ C is said to be algebraic if it satisfies a polynomial equation xn + a1x n−1 + · · ·+

Chapter 4 Radicals/Exponents §4.2 Irrational Numbers Real Numbers: All Numbers  Positive & Negative Numbers with a decimal representation that neither terminates…

Week 7 Homework Help Numbers 9,10 & 12 Week 7 Homework Help Numbers 9,10 & 12 B Heard Not to be copied, posted, shared without my permission. Students can download…

1. If 1 2z i= + , express 1 z in the form , , .a bi a b R+ ∈ 2 marks 2. Express 5( 3 )i− − in the form ( )rcis θ . 3 marks 3. Find all the solutions

265 Floating-point Number Systems A Floating-point number system is defined by the four natural numbers: β ≥ 2, the base, p ≥ 1, the precision (number of places),

Math for Game Programmers: Dual Numbers Gino van den Bergen [email protected] Introduction ● Dual numbers extend real numbers, similar to complex numbers. ● Complex numbers…

Measurable chromatic and independence numbers for ergodic graphs and group actions Clinton T Conley and Alexander S Kechris July 9 2010 0 Introduction We study in this paper…

Measurable chromatic and independence numbers for ergodic graphs and group actions Clinton T Conley and Alexander S Kechris July 9 2010 0 Introduction We study in this paper…