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Joint product numerical range and geometry of reduced density matrices

science china(Physics,Mechanics & Astronomy) 2017年第2期60卷 9-17页

作者： Jianxin chen cheng Guo Zhengfeng Ji Yiu-Tung poon Nengkun YU Bei Zeng Jie Zhou Joint center for Quantum Information and computer science University of Maryland College Park 20740 USA Institute for Advanced study Tsinghua University Beijing 100084 China centre for Quantum computation ＆ Intelligent systems School of Software Faculty of Engineering and Information Technology University of Technology Sydney Sydney 2007 Australia state Key Laboratory of computer science.Institute of software Chinese Academy of Sciences Beijing 100084 China Department of Mathematics Iowa State University Ames 50011-2140 USA Institute for Quantum computing University of Waterloo Waterloo N2L 3G1 Canada Department of Mathematics ＆ statistics University of Guelph Guelph N1G 2 W1 Canada Perimeter Institute for Theoretical Physics Waterloo N2L 2Y5 Canada

The reduced density matrices of a many-body quantum system form a convex set, whose three-dimensional projection is convex in R3. The boundary of may exhibit nontrivial geometry, in particular ruled surfaces. Two physical mechanisms are known for the origins of ruled surfaces： symmetry breaking and gapless. In this work, we study the emergence of ruled surfaces for systems with local Hamiltonians in infinite spatial dimension, where the reduced density matrices are known to be separable as a consequence of the quantum de Finetti＇s theorem. This allows us to identify the reduced density matrix geometry with joint product numerical range II of the Hamiltonian interaction terms. We focus on the case where the interaction terms have certain structures, such that a ruled surface emerges naturally when taking a convex hull of ∏. We show that, a ruled surface on sitting in ∏ has a gapless origin, otherwise it has a symmetry breaking origin. As an example, we demonstrate that a famous ruled surface, known as the oloid, is a possible shape of , with two boundary pieces of symmetry breaking origin separated by two gapless lines.

关键词： reduced density matrices quantum tomography numerical range quantum information oloid ruled surface

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controversies in fecal incontinence

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World Journal of Gastroenterology 2025年第3期31卷 113-119页

作者： Andreia Albuquerque satish s c Rao school of Medicine and Biomedical sciences Fernando Pessoa UniversityGondomar 4420-096PortoPortugal Precancerous Lesions and Early cancer Management Research Group RIsE@cI-IPO(Health Research Network) Portuguese Oncology Institute of PortoPorto 4200-072Portugal Division of Gastroenterology and Hepatology Department of Internal MedicineAugusta UniversityAugustaGA 30912United States

Fecal incontinence is a common condition that can significantly impact patients’quality of *** anal sphincter injury and anorectal surgeries are common *** ultrasound and anorectal manometry are important diagnostic tools for evaluating *** are various treatment options,including diet,lifestyle modifications,drugs,biofeedback therapy,tibial and sacral nerve neuromodulation therapy,and *** this editorial,we will discuss current controversies and novel approaches to fecal *** for asymptomatic anal sphincter defects after obstetric anal sphincter injury and in patients with inflammatory bowel disease is not generally recommended,but may be helpful in selected *** Garg incontinence score is a new score that includes the assessment of solid,liquid,flatus,mucous,stress and urge fecal *** tests such as translumbosacral anorectal magnetic stimulation and novel therapies such as translumbosacral neuromodulation therapy are promising diagnostic and treatment options,for both fecal incontinence and *** biofeedback therapy can overcome some limitations of the office-based *** muscle-derived cell implantation of the external anal sphincter has been further studied as a possible treatment *** neuromodulation may be useful in scleroderma,congenital fecal incontinence and inflammatory bowel disease but merits further study.

关键词： Fecal incontinence Endoanal ultrasound Anal sphincter defects Biofeedback Neuropathy sacral neuromodulation

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Reduction of wave impact on seashore as well as seawall by floating structure and bottom topography

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Journal of Hydrodynamics 2020年第6期32卷 1191-1206页

作者： Amandeep Kaur s.c.Martha Department of Mathematics Indian Institute of Technology RoparRupnagarPunjabIndia

The three-dimensional problem involving diffraction of water wave by a finite floating rigid dock over an arbitrary bottom is studied for two cases(1)in the absence of wall(2)in the presence of *** problem is handled for its solution with the aid of step *** both asymmetric and symmetric arbitrary bottom profile is approximated using successive *** approximation helps to apply the matched eigenfunction expansion method,in result,system of algebraic equations are obtained which are solved to determine the hydrodynamic quantities,namely,force experienced by rigid floating dock as well as rigid seawall,free surface elevation,transmission and reflection coefficients associated with transmission and reflected waves *** effects of various structural and system parameters are examined on these hydrodynamics *** appropriate values of length and thickness of dock,water depth and angle of incidence provide the salient information to marine and coastal engineers to design the offshore structures and creation of parabolic trench on the *** present results are compared with known results in special case of bottom *** energy balance relation is derived and checked.

关键词： Arbitrary bottom step approximation hydrodynamic quantities

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非晶硅薄膜的镍诱导横向晶化工艺及其特性

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Journal of semiconductors 2001年第1期22卷 57-60页

作者：秦明 VincentM.c.poon 东南大学微电子中心南京210096 香港科技大学电子与电机工程系

报道了镍诱导非晶硅薄膜的晶化技术 ,探讨了镍诱导晶化机理 .详细调查了诱导晶化时间和温度对晶化速率的影响 ,并用 Raman、AFM和 TEM等测试了材料的特性 .实验结果发现用该方法可以获得较大晶粒的多晶 ;在晶化温度为 6 2 5℃左右时晶... 详细信息

报道了镍诱导非晶硅薄膜的晶化技术 ,探讨了镍诱导晶化机理 .详细调查了诱导晶化时间和温度对晶化速率的影响 ,并用 Raman、AFM和 TEM等测试了材料的特性 .实验结果发现用该方法可以获得较大晶粒的多晶 ;在晶化温度为 6 2 5℃左右时晶体横向晶化速率最高 .如要获得较长的晶体。

关键词：镍诱导非晶硅薄膜横向晶化工艺

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An Inverse Approach for Extracting Elastic-plastic Properties of Thin Films from small scale sharp Indentation

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Journal of Materials science & Technology 2012年第7期28卷 626-635页

作者： Z.s. Ma Y.c. Zhou s.G. Long c.s. Lu Key Laboratory of Low Dimensional Materials ~ Application Technology of Ministry of Education Xiangtan Uni-versity Xiangtan 411105 China Faculty of Materials Optoelectronics and Physics Xiangtan University Xiangtan 411105 China Department of Mechanical Engineering Curtin University of Technology Perth WA 6845 Australia

An inverse method for extracting the elastic-plastic properties of metallic thin films from instrumented sharp indentation has been proposed in terms of dimensional analysis and finite element modeling. A wide range of materials with different elastic modulus, yield strength, and strain-hardening exponent were *** to the Nix-Gao model for the depth dependence of hardness H,the relationship between elastic modulus E and indentation depth h can be expressed as By combiningthese two formulas, we find that there is a relationship between yield stress and indentation depth h：where σyO is the yield strength associated with the strain-hardening exponent n, the true hardness Ho and the true elastic modulus *** constant, whichis only related to n, and hH and hE are characteristic lengths for hardness and elastic modulus. The results obtained from inverse analysis show that the elastic-plastic properties of thin films can be uniquely extracted from the solution of this relationship when the indentation size effect has to be taken into account.

关键词： Indentation Elastic-plastic properties Metal thin films Inverse analysis

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Urban china in Transformation:Hybrid Economy,Juxtaposed space,and New Testing Ground for Geographical Enquiries

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chinese Geographical science 2011年第1期21卷 1-16页

作者： George c s LIN Department of Geography University of Hong Kong

History has brought us into a significant moment when the majority of the human kind has taken up resi-dence in urban settlements. The focus of global urbanization has shifted to the developing world and the center of manufacturing is no longer confined to the Global North. This paper provides a periodical assessment of the current status of china's urban transformation in the global context of a shifting emphasis of industrialization and urbaniza-tion. china's phenomenal urban transformation deserves a special attention not only because of its unparalleled scale and speed but also because of its distinct trajectory of growth that does not conform to normal theoretical ex-pectations. The results of assessment revealed an urban economy with remarkable hybridity, a society that is in-creasingly stratified, polarized, and segregated, and a juxtaposed urban space undergoing restless and pervasive transformation. A decentering world should entail a decentering knowledge production. A critical reflection upon the chinese patterns and processes of urban transformation has identified 4 main issues with great potentials for inno-vative knowledge production, namely: 1) privatization and economic development; 2) state, society, and space; 3) urbanization of capital, labor, and land; and 4) the environment and chinese political ecology. The paper closes with the remark that a rapidly transforming urban china has presented itself as a fertile and resourceful testing ground for critical and innovative geographic enquiries.

关键词： urban geography urbanization chinese cities political economy china

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Effects of length alteration of OPE-containing mono- and dinuclear alkynylplatinum(II) terpyridine complexes on photophysical, structural and morphological properties

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Nano Research 2024年第10期17卷 8893-8903页

作者： Jason Koon-Lam poon sammual Yu-Lut Leung Eric Ka-Ho Wong Vivian Wing-Wah Yam Institute of Molecular Functional Materials State Key Laboratory of Synthetic Chemistry and Department of ChemistryThe University of Hong KongHong Kong 999077China

A series of mononuclear complexes and unsymmetric dinuclear alkynylplatinum(II)terpyridine complexes with oligo(paraphenylene ethynylene)(OPE)-derived backbone with a variation of the lengths of alkoxy chains and OPE backbones was *** morphological properties,packing lattice and gelation behaviors of the mononuclear complexes were systematically studied,and the thermodynamic parameters and packing lattices of the dinuclear complexes were also investigated,providing further insights into the roles of the non-covalent interactions and their delicate balance in constructing sophisticated supramolecular *** and nanotube formation have been observed upon a delicate control of the intermolecular interactions by altering the lengths and structural dimensions of the complexes.

关键词： supramolecular chemistry self-assembled nanostructures platinum(II)complexes metallogel

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Data-embedded-error-diffusion hologram(Invited Paper)

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chinese Optics Letters 2014年第6期12卷 76-79页

作者： P. W. M. Tsang T.-c. poon Department of Electronic Engineering City University of Hong KongHong Kong SAR China Bradley Department of Electrical and computer Engineering Virginia TechBlacksburg VA 24061 USA shanghai Institute of Optics and Fine Mechanics Chinese Academy of SciencesShanghai 201800 China

This paper describes a method for converting a complex Fresnel hologram into a phase-only hologram that can be embedded with large amount of data. Briefly, each row of pixels in the hologram is scanned sequentially in a left-to-right direction. The magnitude of each visited pixel is set to a constant, and its phase is embedded with the data. subsequently, the error is diffused to the neighborhood pixels. The phase hologram realized with such means, which is referred to as the data-embedded-error-diffusion （DEED） hologram, is capable of preserving high fidelity on the content of the hologram and the embedded data.

关键词： Data-embedded-error-diffusion hologram

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Enhanced method for the generation of binary Fresnel holograms based on grid-cross downsampling

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chinese Optics Letters 2011年第12期9卷 15-19页

作者： W.K.cheung Peter Tsang T.c.poon 周常河 Department of Electronic Engineering City University of Hong KongTat Chee AvenueKowloon Bradley Department of Electrical and computer Engineering shanghai Institute of Optics and Fine Mechanics Chinese Academy of Sciences

Past research has demonstrated that digital Fresnel holograms can be binarized in a non-iterative manner by downsampling the source image with a grid lattice prior to the hologram generation process. The reconstructed image of a hologram that is binarized with this approach is superior in quality compared with that obtained with direct thresholding, half-toning, and error diffusion. Despite the success, the downsampling mechanism results in a prominent texture of regularly spaced voids in the shaded regions. To alleviate this problem, an enhanced non-iterative method for the generation of binary Fresnel holograms is presented. Our method is based on a multi-direction line-sampling formed by a combined grid and cross lattice, which is capable of preserving a more solid texture in the shaded regions and enhancing the visual quality of the reconstructed image. computer simulations and optical reconstructions are shown to demonstrate the effectiveness of our proposed technique.

关键词： computer simulation Lithography Textures

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A Note on the Dynamics of the Logistic Family Modified by Fuzzy Numbers

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Acta Mathematicae Applicatae sinica 2022年第4期38卷 741-752页

作者： J.s.cáNOVAs Department of Applied Mathematics and statistics Technical University of CartagenaC/Doctor Flemming Sn30202CartagenaSpain

In this paper,we consider a modification of the well-known logistic family using a family of fuzzy *** dynamics of this modified logistic map is studied by computing its topological entropy with a given *** computation allows us to characterize when the dynamics of the modified family is ***,some attractors that appear in bifurcation diagrams are ***,we will show that the dynamics induced by the logistic family on the fuzzy numbers need not be complicated at all.

关键词： logisitic family topological entropy chaos Zadeh's extension fuzzy numbers

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