Results 21 to 30 of about 1,851 (265)
Variations on the theme of Marcinkiewicz’ inequality [PDF]
Journal d'Analyse Mathématique, 2002 We present a new approach to the Marcinkiewicz interpolation inequality for the distribution function of the Hilbert transform, and prove an "abstract" version of this inequality. The approach uses "logarithmic determinants" and new estimates of canonical products of genus one.
Matsaev, V., Ostrovskii, I., Sodin, M.
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Advanced Robotics Research, EarlyView.A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley +1 more source
Study of Free‐Space Optical Quantum Network: Review and Prospectives
Advanced Science, EarlyView.Free from the constraints of fiber connections, free‐space quantum network enables longer and more flexible quantum network connections. This review summarizes and comparatively analyzes free‐space quantum network experiments based on ground stations, satellites, and mobile platforms.
Hua‐Ying Liu, Zhenda Xie, Shining Zhu
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A Study on Mixed Variational-like Inequality Under Generalized Quasimonotonicity in Banach Spaces
MathematicsThis paper studies nonlinear mixed variational-like inequalities under generalized quasimonotone mappings in Banach spaces. The main objective of this work is to relax the well-known KKM (Knaster–Kuratowski–Mazurkiewicz) condition which is extensively ...
Gayatri Pany +2 more
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Journal of Inequalities and Applications, 2022 The fuzzy set theory enables us to represent our knowledge under multiple interpretations and axiomatic foundations from linguistic to computational representations.
Ting Xie, Dapeng Li
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Advanced Science, EarlyView.TarPass provides a rigorous benchmark for target‐aware de novo molecular generation by jointly evaluating protein‐ligand interactions, molecular plausibility, and drug‐likeness on 18 well‐studied targets. Results show that current models often fail to consistently surpass random baseline in target‐specific enrichment, while post hoc multi‐tier virtual ...
Rui Qin +11 more
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Variational Inequalities Revisited [PDF]
, 1986 This chapter solves the variational inequalities (or generalized equations). The chapter defines the lack of boundedness of K that is measured by its barrier cone, b(K). The degree of monotonicity of A is measured by a non-negative proper lower semicontinuous function β from X to ∪{+∞}. The chapter proves that the set-valued map A is β-monotone.
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On Random Variational Inequalities
Journal of Mathematical Analysis and Applications, 1997 Let \((H,(.,.))\) be a real separable Hilbert space with the Borel \(\sigma\)-algebra \({\mathcal B}(H).\) Let \((\Omega,{\mathcal X})\) be a measurable space. A mapping \(T:\;\Omega\times H\to H\) is called a random operator, if for any given \(x\in H,\;T(t,x)=y(t)\) is measurable.
Ganguly, Ashok, Wadhwa, Kamal
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On Gap Functions for Quasi-Variational Inequalities
Abstract and Applied Analysis, 2008 For variational inequalities, various merit functions, such as the gap function, the regularized gap function, the D-gap function and so on, have been proposed.
Kouichi Taji
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Existence result and error bounds for a new class of inverse mixed quasi-variational inequalities
Journal of Inequalities and Applications, 2016 In this paper, a new class of inverse mixed quasi-variational inequalities (IMQVI) is introduced and studied in Hilbert spaces. This type of inequalities includes many quasi-variational inequalities and inverse variational inequalities as its special ...
Xi Li, Yun-zhi Zou
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