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� � 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…

Zeros of polynomial special functions Kathy Driver University of Cape Town 3 am Madison Wisconsin 6-7 December 2013 Kathy Driver University of Cape Town Zeros of polynomial…

NOTES FROM MODULARITY LIFTING SEMINAR AT STANFORD, 2009-2010 SAM LICHTENSTEIN Lecture 1: Overview by Brian 0. Why Study Galois Representations? Here we discuss the link between…

INTERPOLATION OF SHIFTED-LACUNARY POLYNOMIALS Mark Giesbrecht and Daniel S Roche Abstract Given a “black box” function to evaluate an unknown ra- tional polynomial f…

158 Orders of Polynomials 158 Seidel Aberrations Aberration W0ρy Wρx0 εy0ρy εxρx0 h Tilt linear zero constant zero linear Defocus parabolic parabolic linear linear…

Asymptotics for Sobolev Orthogonal Polynomials for Exponential Weights J. S. Geronimo, D. S. Lubinsky, and F. Marcellan Abstract. Let λ 0, α 1, and let W x = exp−x α,…

IJMMS 2004:28, 1455–1462 PII. S0161171204305314 http:ijmms.hindawi.com © Hindawi Publishing Corp. ON THE DENSENESS OF JACOBI POLYNOMIALS SARJOO PRASAD YADAV Received 29…

On Multiple Zeros of Bernoulli Polynomials Karl Dilcher Dalhousie University Halifax “Special Functions in the 21st Century Washington DC April 6 2011 Karl Dilcher On Multiple…

Slide 1 DIY fractional polynomials Patrick Royston MRC Clinical Trials Unit, London 10 September 2010 Slide 2 Overview Introduction to fractional polynomials Going off-piste:…

Slide 1 Al Parker September 14, 2010 Drawing samples from high dimensional Gaussians using polynomials Slide 2 Colin Fox, Physics, University of Otago New Zealand Institute…

Character sheaves on a symmetric space and Kostka polynomials Toshiaki Shoji Nagoya University July 27 2012 Osaka Toshiaki Shoji Nagoya University Character sheaves on a…

Colloquium · USF · Tampa Jan’16 Graph Polynomials motivated by Gene Assembly Hendrik Jan Hoogeboom, Leiden NL with Robert Brijder, Hasselt B 2 transition polynomials…

ar X iv :0 90 2 25 89 v3 m at h R T 2 5 A ug 2 01 0 CHARACTER VARIETIES ADAM S SIKORA Abstract We study properties of irreducible and completely reducible rep- resentations…

Representing functions by basis functions The Fourier basis The spline basis Other basis function systems Estimating derivatives by differencing Why do we use roughness penalties?…

GAZETA MATEMATICĂ SERIA A ANUL XXVII(CVI) Nr. 4 / 2009 ARTICOLE ŞTIINŢIFICE ŞI DE INFORMARE ŞTIINŢIFICĂ What can Sine Function do for us? Constantin Corduneanu1)…

Slide 1New degree bounds for polynomials with prescribed signs Ryan ODonnell (MIT) Rocco Servedio (Harvard/Columbia) Slide 2 Polynomials with prescribed signs Suppose m disjoint…