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Divergence for s -concave and log concave functions
Advances in Mathematics, 2014 We prove new entropy inequalities for log concave and s-concave functions that strengthen and generalize recently established reverse log Sobolev and Poincare inequalities for such functions. This leads naturally to the concept of f-divergence and, in particular, relative entropy for s-concave and log concave functions.
Caglar, Umut, Werner, Elisabeth M.
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Shock and Vibration, 2012 This paper presents the dynamic response of an Euler- Bernoulli beam supported on two-parameter Pasternak foundation subjected to moving load as well as moving mass. Modal analysis along with Fourier transform technique is employed to find the analytical
Rajib Ul Alam Uzzal +2 more
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Concavity of Utility, Concavity of Welfare, and Redistribution of Income [PDF]
SSRN Electronic Journal, 2003 The marginal social value of income redistribution is understood to depend on both the concavity of individuals’ utility functions and the concavity of the social welfare function. In the pertinent literatures, notably on optimal income taxation and on normative inequality measurement, it seems to be accepted that the role of these two sources of ...
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Concave Diffraction Gratings by High-Precision Injection Moulding
Proceedings, 2019 As an example of the applicable process chain, a concave grating (1175 grooves/mm) with an active area of approx. 24 mm to 24 mm has been replicated by means of electroplating and further by injection moulding with polycarbonate, resulting in a surface ...
Manuel Walch, Alexander Wörle
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Behavior and model of grain separation for a small axial flow maize shelling unit
Engineering and Applied Science Research, 2023 Shelling and grain separation by a small axial flow maize sheller is influenced by the performance of both the maize shelling and cleaning units. For this study, the shelling and grain separation behavior were examined in a mini-maize grain separation ...
Waree Srison +3 more
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Impact of Concave and Convex Solid Surfaces By Liquid-Like Projectiles
Tikrit Journal of Engineering Sciences, 2007 A theoretical and experimental investigation of the normal impact of a flat-ended liquid slug onto ductile cylindrical solid targets is presented. The liquid slug is simulated by wax which is known to behave as a liquid in high speed impact situations ...
Riyadh N. Kiter, Sabah A. L. Salem
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Log-concavity and strong log-concavity: A review
Statistics Surveys, 2014 We review and formulate results concerning log-concavity and strong-log-concavity in both discrete and continuous settings. We show how preservation of log-concavity and strongly log-concavity on $\mathbb{R}$ under convolution follows from a fundamental monotonicity result of Efron (1969).
Saumard, Adrien, Wellner, Jon A.
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Nonlinear Concave Spiral Waves in Active Media Transferring Energy [PDF]
EPJ Web of Conferences, 2019 Spiral concave autowaves are widely implemented in physics, chemistry, hydrodynamics, meteorology and other fields. A mathematical model of spiral concave autowaves based on the Fitzhugh-Nagumo equation and modified axiomatic models are presented.
Mazurov Mikhail
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A reverse entropy power inequality for log-concave random vectors [PDF]
, 2016 We prove that the exponent of the entropy of one-dimensional projections of a log-concave random vector defines a 1/5-seminorm. We make two conjectures concerning reverse entropy power inequalities in the log-concave setting and discuss some ...
Nayar, Piotr +2 more
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Leveraging Bismuth Immiscibility to Create Highly Concave Noble Metal Nanoparticles
, 2023 The nanoscale integration of metals with differences in structure and electronics, while important for manipulating surface adsorption, does not typically yield structures with well-defined morphologies in colloidal synthesis.
Melissa, King +5 more
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