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AXISYMMETRY PROBLEMS OF RING SHELLS OF ELLIPTICAL CROSS SECTION UNDER arbitrarily DISTRIBUTED LOADS

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Science China Mathematics 1989年第12期32卷 1469-1482页

作者：陈山林 Chongqing Institute of Architecture and Engineering

A simplified equation for the axisymmetry problems of ring shells of elliptical cross section under arbitrarily distributed loads in complex form has been obtained. The equation is equivalent to the exact equations within the error range of the thin shell theory, with the singularities at the points of meridional extreme values eliminated. The equivalent integral equations and the numerical solutions are given. Three examples of expansion joints, ring shells under hydro-pressure and sealing ring of semi-elliptical cross section are calculated and compared with the exact solutions and the experimental results.

关键词： ring shells arbitrarily distributed load.

STRONG CODING THEOREM AND ASYMPTOTICERROR EXPONENT OF arbitrarily VARYING SOURCE WITH A FIDELITY CRITERION

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Systems Science and Mathematical Sciences 1998年第2期11卷 168-174页

作者： FU Fangwei SHEN Shiyi(Department Of Mathematics, Nankai University, Tiawtn 300071, China)

When the error probability is less than 2--"", the minimum compression rate(r-optimal rate) of arbitrarily varying source with a fidelity criterion is determined. Thisgeneralizes the result of Arutyunyan and Mekaushll] for discrete memoryless source witha fidelity criterion, and is called strong coding theorem of arbitrarily varying source witha fidelity criterion. We also determine the asymptotic error exponellt for arbitrarily varying source with a fidelity criterion. This generalizes Marton’s result in [2] for discretememoryless source with a fidelity criterion.

关键词： arbitrarily varying sourcel coding theorem error exponent information quantity rate-distortion theory.

Small and simple:next-generation miniaturized diffraction-based spectrometer with computational reconstruction algorithms

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Light(Science & Applications) 2024年第6期13卷 1008-1011页

作者： Markus Suta Inorganic Photoactive Materials Faculty of Mathematics and Natural SciencesHeinrich Heine University DusseldorfDusseldorfGermany

An ultra-simple and miniaturized spectrometer using an arbitrarily shaped pinhole as diffraction element reconstructs a broadband spectrum from the information of diffraction of monochromatic radiation by clever computational reconstruction *** circumvents complex calibration procedures and paves the way to cost-effective on-chip spectrometers combining fast acquisition without significant loss in spectral resolution.

关键词： arbitrarily shaped element

Compensation of stress intensity factors in hollow cylinders containing several cracks under torsion by electro-elastic coating

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Applied Mathematics and Mechanics(English Edition) 2019年第9期40卷 1335-1360页

作者： M. KARIMI A. GHASSEMI A. ATRIAN M. VAHABI Department of Mechanical Engineering Najafabad Branch Islamic Azad University Najafabad Iran Modern Manufacturing Technologies Research Center Najafabad Branch Islamic Azad University Najafabad Iran

In this article, a formulation for a hollow cylinder reinforced with an electroelastic layer is investigated. The hollow cylinder and its electro-elastic coating are under the Saint-Venant torsional loading. First, the solution to the problem containing a Volterra-type screw dislocation is obtained by using the Fourier transform. The problem is then reduced to a set of Cauchy singular integral equations by the distributed dislocation method. Finally, several examples are presented to show the effect of the electro-elastic coating on the reduction of the stress intensity factors at the crack tips.

关键词： hollow cylinder electro-elastic coating stress intensity factor multiple arbitrarily oriented cracks Saint-Venant torsion electric displacement

Polarization multiplexed diffractive computing:all-optical implementation of a group of linear transformations through a polarization-encoded diffractive network

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Light(Science & Applications) 2022年第7期11卷 1423-1442页

作者： Jingxi Li Yi-Chun Hung Onur Kulce Deniz Mengu Aydogan Ozcan Electrical and Computer Engineering Department University of CaliforniaLos AngelesCA 90095USA Bioengineering Department University of CaliforniaLos AngelesCA 90095USA California NanoSystems Institute(CNSI) University of CaliforniaLos AngelesCA 90095USA

Research on optical computing has recently attracted significant attention due to the transformative advances in machine *** different approaches,diffractive optical networks composed of spatially-engineered transmissive surfaces have been demonstrated for all-optical statistical inference and performing arbitrary linear transformations using passive,free-space optical ***,we introduce a polarization-multiplexed diffractive processor to all-optically perform multiple,arbitrarily-selected linear transformations through a single diffractive network trained using deep *** this framework,an array of pre-selected linear polarizers is positioned between trainable transmissive diffractive materials that are isotropic,and different target linear transformations(complex-valued)are uniquely assigned to different combinations of input/output polarization *** transmission layers of this polarization-multiplexed diffractive network are trained and optimized via deep learning and error-backpropagation by using thousands of examples of the input/output fields corresponding to each one of the complex-valued linear transformations assigned to diffferent input/output polarization *** results and analysis reveal that a single diffractive network can successfully approximate and all-optically implement a group of arbitrarily-selected target transformations with a negligible error when the number of trainable diffractive features/neurons(N)approaches N_(p)N_(i)N_(o),where Ni and N_(o) represent the number of pixels at the input and output fields-of-view,respectively,and N_(p) refers to the number of unique linear transformations assigned to different input/output polarization *** polarization-multiplexed all-optical diffractive processor can find various applications in optical computing and polarization-based machine vision tasks.

关键词： valued arbitrarily Polarization

Collision of Two General Geodesic Particles around a Kerr–Newman Black Hole

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Chinese Physics Letters 2013年第10期30卷 25-29页

作者： LIU Chang-Qing Department of Physics and Information Engineering Hunan Institute of Humanities Science and TechnologyLoudi 417000

Collision of two general geodesic particles around the Kerr–Newman black hole is studied and the center-of-mass(c.m.)energy of the non-marginally and marginally bound critical particles in the direct collision and the last stable orbit collision scenarios is *** constraint conditions that arbitrarily high *** can be obtained for the near-horizon collision of two general geodesic particles in the extremal Kerr–Newman black hole is found,and it is noted that the charge decreases the value of the latitude in which arbitrarily high *** can occur.

关键词： Newman collision arbitrarily

Multipartite Spin Entangled States in Quantum Dots with a Quantum Databus Based on Nano Electro-Mechanical Resonator

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Chinese Physics Letters 2011年第4期28卷 19-21页

作者： ZHU Zhi-Cheng TU Tao GUO Guo-Ping Key Laboratory of Quantum Information Chinese Academy of SciencesUniversity of Science and Technology of ChinaHefei 230026

We propose an efficient method to create multipartite spin entangled states in quantum dots coupled to a nano electro-mechanical resonator *** method,based on the interaction between electron spins confined in quantum dots and the motion of magnetized nano electro-mechanical resonators,can enable a coherent spin-spin coupling over long distances and in principle be applied to an arbitrarily large number of electronic spins.

关键词： quantum arbitrarily parti

Shape Memory Polymers:Ever Evolving Shape Morphing Characteristics

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Chinese Journal of Polymer Science 2023年第3期41卷 325-326页

作者： Tao Xie State Key Laboratory of Chemical Engineering College of Chemical and Biological EngineeringZhejiang University

Shape memory effect (SME) of polymers refers to their ability to fix temporary shapes and revert to their permanent shapes in an on demand *** the permanent shape is typically determined by the molding processes,the temporary shape(s) can be arbitrarily defined by an external force applied during the programming step(or shape fixing step).This attribute differentiates shape memory polymers (SMP) from many other classes of stimuli-responsive shape-changing polymers,in terms of both the material behaviors and potential applications.

关键词： permanent arbitrarily programming

A THREE-DIMENSIONAL TIME-DEPENDENT MODEL ON COASTAL UPWELLING

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Chinese Journal of Oceanology and Limnology 1989年第3期7卷 251-261页

作者：李永祥胡敦欣 Institute of Oceanology Academia Sinica Qingdao

Hu (1979) proposed a two-dimensional, unsteady . homogeneous coastal upwelling model with finite constant depth . Lu and Zhao (1985) extended Hu’s model by specifying a linear bottom slope. A three-dimensional .unsteady .homogeneous .coastal upwelling model on f- plane with arbitrarily linear bottom slope is suggested in this paper as an extension of Lu and Zhao’s model. The solution for such a problem has been obtained . and the properties of upwelling and horizontal current are examined .

关键词： unsteady coastal ocean initially infinitely arbitrarily exponentially drift suddenly arbitrary