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This paper is dedicated to Stephen Gelbart. Abstract. The paper gives complete proofs of the properties of the Rankin- Selberg integrals for the group GL(n,R) and GL(n,C).
Boosting Bagging etc Based mostly on notes by Greg Ridgeway David Madigan ε ε ε ε Random Forests “ ” spam7rf printspam7rf Call: randomForestformula = yesno ~ data…
25 October 1995 An Integrability Theorem for Unbounded Vilenkin Systems by Bruce Aubertin John J. F. Fournier∗ Department of Mathematics Department of Mathematics Okanagan…
Arithmetic of Hyperbolic Manifolds Walter D. Neumann and Alan W. Reid 1. Introduction By a hyperbolic 3-manifold we mean a complete orientable hyperbolic 3-manifold of finite…
Magnetic Reconnection in Accretion Disks and Coronae Lorenzo Sironi (Columbia) WoRPA 2018, May 8th 2018 with: D. Ball, A. Beloborodov, A. Chael, R. Narayan, F. Ozel, M. Rowan…
Continuing Work in Robust Portfolio Optimization Daniel Bienstock Columbia University, New York 30 June 2008 Daniel Bienstock ( Columbia University, New York)Continuing Work…
APPH 4200 Physics of Fluids Cartesian Tensors (Ch. 2) September 15, 2009 1. Geometric Identities 2. Vector Calculus 1 Scalars, Vectors, &Tensors • Scalars: mass density…
Kernel methods on £nite groups Risi Imre Kondor Center for Automated Learning and Discovery School of Computer Science Carnegie Mellon University 1 The learning task Data:…
Mean-Variance Portfolio Optimization min λx T Qx − µT x Subject to: Ax ≥ b µ = vector of “returns”, Q = “covariance” matrix x = vector of “asset weights”…
The Journal of Clinical Investigation R E S E A R C H A R T I C L E 2 4 4 6 jci.org Volume 129 Number 6 June 2019 Introduction A functional TCR repertoire requires great…
Electron Transport in Graphitic Systems Philip Kim Department of Physics Columbia University SP2 Carbon: 0-Dimension to 3-Dimension Fullerenes C60 Carbon Nanotubes Atomic…
1 HEMOGLOBIN DISORDERS Hemoglobin Structure 2 Oxygen Dissociation Erythropoiesis 3 Globin Gene Clusters Human β-Globin Gene Locus 4 Hemoglobin Switching Globin Switching-Pyr…
APPH 4200 Physics of Fluids Cartesian Tensors Ch 2 September 14 2010 1 Geometric Identities 2 Vector Calculus 1 Scalars Vectors Tensors • Scalars: mass density ρ temperature…
1 Stratospheric Ozone (con’t): Production, Destruction, & Trends http://ozonewatch.gsfc.nasa.gov/ Antarctic Ozone Hole: Sept. 12, 2012 Thermal Structure of the Atmosphere…
Lecture3: Plasma Physics 1 APPH E6101x Columbia University 1 Homework #1 1 of 3 Problems 43 • The coupling parameter Γ determines the state of each plasma component electrons,…
Twisted Extensions of Fermat’s Last Theorem Carmen Bruni University of British Columbia June 7th, 2014 Carmen Bruni Twisted Extensions of Fermat’s Last Theorem The set…
APPH 4200 Physics of Fluids Kinematics: Describing Fluid Flow (Ch. 3) 1. Quick Review 2. Lagrangian (material) & Eulerian (field) 3. Streamlines & Pathlines 4. Point…
asdfasdf Random Function Priors for Correlation Modeling Aonan Zhang John Paisley Columbia University Model exchangeable data the extent is used to express . Setup X = X1,…
ar X iv :h ep -t h 92 05 11 0v 1 2 9 M ay 1 99 2 LPTENS–9218, hep-th@xxx92XXXX May 1992 The τ-function of the universal Whitham hierarchy, matrix models and topological…
Mahler's measure and Special Values of L-functions David Boyd Pacific Northwest Number Theory Conference 2015 David Boyd (UBC) Mahler measure and L-functions Eugene,