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Observations on Moser's inequality

Archive for Rational Mechanics and Analysis, 1989
Starting from the limiting case of the Sobolev imbedding theorem of Trudinger, Moser has proved two different one-dimensional inequalities of more general nature. One of them has its applications in partial differential equations, the other in differential geometry.
McLeod, J. B., Peletier, L. A.
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Bell’s inequality, trichotomic observables, and supplementary assumptions

Physical Review A, 1996
A general approach to Bell-type inequalities for trichotomic observables is presented. With this formalism, which explicitly includes no-counts events, we show that the limits of all Bell-type inequalities are functions of the supplementary assumptions.
De Caro L, Garuccio A
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Observing Inequalities

2019
This chapter advocates the development of comparative organizational research designs as the empirical basis for studying both the generic and contingent processes that generate inequality. After explaining where past quantitative and qualitative researchers have gone wrong, it goes on to examine and promote contemporary comparative organizational ...
Donald Tomaskovic-Devey   +1 more
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Observability inequalities for thin shells

Science China Mathematics, 2003
We consider the exact controllability problem from boundary for thin shells. Under some checkable geometric assumptions on the middle surface, we establish the observability inequalities via the Bochner technique for the Dirichlet control and the Neumann control problems. We also give several examples to verify the geometric assumptions.
Shugen Chai, Pengfei Yao
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Observability-Based Navigation Using Optical and Radiometric Measurements for Asteroid Proximity

IEEE Transactions on Aerospace and Electronic Systems, 2020
In this article, to improve navigation performance, observability-based navigation using optical and radiometric measurements for asteroid approach phase is proposed in tandem with the optimization of the configuration of spacecraft formation.
He Jia, Shengying Zhu, P. Cui
semanticscholar   +1 more source

Bell’s Inequality for Trichotomic Observables

1995
In order to give a more complete description of an actual experiment on EPR paradox, the upper limits for Bell and Clauser-Horn-Shimony-Holt inequalities are deduced in the case of three-valued observables. This limit results a function of the supplementary assumptions.
Garuccio A, De Caro L
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Observing Organizational Inequality Regimes

2016
Abstract After multiple decades stumbling in the status attainment wilderness, the sociological study of inequality is now cultivating a new garden: the workplace generation of inequalities. While our theories have long focused on contextually embedded social relations – often in production – as generating inequality, our methods have
Donald Tomaskovic-Devey   +1 more
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The observability inequalities for heat equations with  potentials

E S A I M: Control, Optimisation and Calculus of Variations
. This paper is mainly concerned with the observability inequalities for heat equations with time-dependent Lipschtiz potentials. The observability inequality for heat equations asserts that the total energy of a solution is bounded above by the energy ...
Jiuyi Zhu, Jinping Zhuge
semanticscholar   +1 more source

Berry–Esseen inequalities for discretely observed diffusions

Monte Carlo Methods and Applications, 2009
Summary: For stationary ergodic diffusions satisfying nonlinear homogeneous Itô stochastic differential equations, the paper compares the bounds on the rates of convergence to normality (Berry-Esseen type) of two approximate maximum likelihood estimators of the drift parameter based on the Itô and the Fisk-Stratonovich approximations of the continuous ...
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Applications of Observability Inequalities

2019
This article presents two observability inequalities for the heat equation over Ω × (0, T). In the first one, the observation is from a subset of positive measure in Ω × (0, T), while in the second, the observation is from a subset of positive surface measure on ∂Ω × (0, T).
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