Results 71 to 80 of about 1,461 (185)
, 1984 This survey of nonsmooth analysis sets out to prove an inverse function theorem for set-valued maps. The inverse function theorem for the more usual smooth maps plays a very important role in the solution of many problems in pure and applied analysis, and we can expect such an adaptation of this theorem also to be of great value. For example, it can be
Aubin, J.-P., Ekeland, I.
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Applied Bionics and Biomechanics, 2016 Fish-like, dolphin-like, and bionic nonsmooth surfaces were employed in a hydraulic torque converter to achieve drag reduction and performance improvement, which were aimed at reducing profile loss, impacting loss and friction loss, respectively. YJSW335,
Liu Chunbao +4 more
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An introduction to non-smooth convex analysis via multiplicative derivative
Journal of Taibah University for Science, 2019 In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
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Introduction to Nonsmooth Analysis and Optimization
, 2020 Functions that are not differentiable in the classical sense have become a central tool in modern mathematical models for imaging, inverse problems, machine learning, and optimal control of differential equations. These models are increasingly formulated in infinite-dimensional function spaces to be independent of problem size and discretization ...
Clason, Christian, Valkonen, Tuomo
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Journal of Applied Mathematics, 2013 This paper investigates the adaptive synchronization of complex dynamical networks satisfying the local Lipschitz condition with switching topology. Based on differential inclusion and nonsmooth analysis, it is proved that all nodes can converge to the ...
Bo Liu +4 more
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MathematicsAfter more than a century of unremitting efforts by scholars, nonlinear analysis has found widespread and important applications in many fields that are at the core of many branches of pure and applied mathematics, including functional analysis, fixed ...
Wei-Shih Du, Yousuke Araya
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Nonsmooth Analysis and Optimization
, 2017 These lecture notes for a graduate course cover generalized derivative concepts useful in deriving necessary optimality conditions and numerical algorithms for nondifferentiable optimization problems in inverse problems, imaging, and PDE-constrained optimization. Treated are convex functions and subdifferentials, Fenchel duality, monotone operators and
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Nonsmooth analysis of three-dimensional slipping and rolling in the presence of dry friction. [PDF]
Nonlinear Dyn, 2019 Antali M, Stepan G.
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Preoperative Prediction of Microvascular Invasion in Hepatocellular Carcinoma: A Chinese Retrospective Multicenter Study Based on Global Meta-Analysis. [PDF]
Cancer MedXu J +10 more
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