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Matricial logarithmic derivatives
Linear Algebra and its Applications, 1978 AbstractIf θ is a norm on Cn, then the mapping A→limh↓0‖I+hA‖θ−1/h from Mn(C) (=Cn × n) into R is called the logarithmic derivative induced by the vector norm θ. In this paper we generalize this concept to a mapping γ from Mn(C) into Mk(R), where k ⩽ n.
Deutsch, Emeric, Mlynarski, Max
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Three-Dimensional Tricritical Gravity [PDF]
, 2012 We consider a class of parity even, six-derivative gravity theories in three dimensions. After linearizing around anti-de Sitter space, the theories have one massless and two massive graviton solutions for generic values of the parameters.
Bergshoeff, Eric A. +4 more
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Logarithmic derivative of an entire function [PDF]
Proceedings of the American Mathematical Society, 1971 A representation for the logarithmic derivative ( f ′ / f ) (f’/f) of an entire function f f of finite order, parametrically in terms of some zeros and critical points of f f , is derived from the Hadamard representation and ...
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Infrared finite coupling in Sudakov resummation: the precise set-up [PDF]
, 2006 I show that Sudakov resummation takes a transparent form if one deals with the second logarithmic derivative of the short distance coefficient functions for deep inelastic scattering and the Drell-Yan process. A uniquely defined Sudakov exponent emerges,
G. Sterman, Georges Grunberg
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Explicit formula for the Holevo bound for two-parameter qubit estimation problem [PDF]
, 2016 The main contribution of this paper is to derive an explicit expression for the fundamental precision bound, the Holevo bound, for estimating any two-parameter family of qubit mixed-states in terms of quantum versions of Fisher information.
Suzuki, Jun
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Logarithmic derivatives in annuli
Journal of Mathematical Analysis and Applications, 2009 The authors define Nevanlinna functions in annuli with two independent variables. They prove a version for annuli of Valiron's decomposition theorem. Using this result and others proved in the paper a generalized logarithmic derivative lemma for annuli is established. This lemma includes the same for a disk and the complex plane.
Lund, Mark E., Ye, Zhuan
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Automatic computation of quantum-mechanical bound states and wavefunctions [PDF]
, 2013 We discuss the automatic solution of the multichannel Schr\"odinger equation. The proposed approach is based on the use of a CP method for which the step size is not restricted by the oscillations in the solution.
Ledoux, Veerle, Van Daele, Marnix
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Numerical differentiation methods for the logarithmic derivative technique used in dielectric spectroscopy [PDF]
Processing and Application of Ceramics, 2010 In dielectric relaxation spectroscopy the conduction contribution often hampers the evaluation of dielectric spectra, especially in the low-frequency regime.
Henrik Haspel +3 more
doaj
Проблемы анализа, 2019 Let C be the unit circle {z: |z| = 1} and Qn(z) bean arbitrary C-polynomial (i. e., all its zeros z1, . . ., zn ∈ C). We prove that the norm of the logarithmic derivative Q′n/Qn in the complex space L_2[−1,1] is greater than 1/8.
Komarov M. A.
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Bounds on Quantum Multiple-Parameter Estimation with Gaussian State [PDF]
, 2014 We investigate the quantum Cramer-Rao bounds on the joint multiple-parameter estimation with the Gaussian state as a probe. We derive the explicit right logarithmic derivative and symmetric logarithmic derivative operators in such a situation. We compute
Gao, Yang, Lee, Hwang
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