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Phase-Dislocation-Mediated High-Dimensional Fractional Acoustic-Vortex Communication

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Research 2024年第3期2023卷 575-584页

作者： Ruijie Cao Gepu Guo Wei Yue Yang Huang Xinpeng Li Chengzhi Kai Yuzhi Li Juan Tu Dong Zhang Peng Xi Qingyu Ma School of Computer and Electronic Information Nanjing Normal UniversityNanjing 210023China Department of Biomedical Engineering College of Future TechnologyPeking UniversityBeijing 100871China nstitute of Acoustics Nanjing UniversityNanjng 210093China National Biomedical Imaging Center Peking UniversityBeijing 100871China

With unlimited topological modes in mathematics,the fractional orbital angular momentum(FOAM)demonstrates the potential to infinitely increase the channel capacity in acoustic-vortex(AV)***,the accuracy and stability of FOAM recognition are still limited by the nonorthogonality and poor anti-interference of fractional AV *** popular machine learning,widely used in optics based on large datasets of images,does not work in acoustics because of the huge engineering of the 2-dimensional point-by-point ***,we report a strategy of phase-dislocation-mediated high-dimensional fractional AV communication based on pair-FOAM multiplexing,circular sparse sampling,and machine *** unique phase dislocation corresponding to the topological charge provides important physical guidance to recognize FOAMs and reduce sampling points from theory to practice.A straightforward convolutional neural network considering turbulence and misalignment is further constructed to achieve the stable and accurate communication without involving experimental *** experimentally present that the 32-point dual-ring sampling can realize the 10-bit information transmission in a limited topological charge scope from±0.6 to±2.4 with the FOAM resolution of 0.2,which greatly reduce the divergence in AV *** infinitely expanded channel capacity is further verified by the improved FOAM resolution of *** with other milestone works,our strategy reaches 3-fold OAM utilization,4-fold information level,and 5-fold OAM *** of the extra advantages of high dimension,high speed,and low divergence,this technology may shed light on the next-generation AV communication.

关键词： infinitely topological fractional

Overview of extreme manufacturing

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International Journal of Extreme Manufacturing 2019年第1期1卷 1-9页

作者： Dongming Guo Yongfeng Lu Key Laboratory for Precision and Non-Traditional Machining Technology of Ministry of Education Dalian University of TechnologyDalianPeople’s Republic of China University of Nebraska-Lincoln LincolnNE 68588United States of America

*** Today we live in a new era of economic globalization and rapid technological *** advancement of both our society and standard of living require us to delve into this new world and unleash the possibilities our *** need to broaden the horizons of our universe to discover a new realm where the future of humanity can *** need to be unafraid to unveil the mysteries hidden within the depths of our oceans to unearth treasures that will benefit not only us,but the generations to *** fulfill this vision,we must manufacture extremely large and extraordinarily fast equipment that will function seamlessly under the duress of extreme *** the other hand,matter is infinitely divisible.

关键词： extreme infinitely universe

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Multidimensional compound Poisson distributions in free probability

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Science China Mathematics 2019年第5期62卷 921-934页

作者： Guimei An Mingchu Gao School of Mathematical Sciences and LPMC Nankai University School of Mathematics and Information Science Baoji University of Arts and Sciences Department of Mathematics Louisiana College

Inspired by Speicher's multidimensional free central limit theorem and semicircle families, we prove an in?nite dimensional compound Poisson limit theorem in free probability, and de?ne in?nite dimensional compound free Poisson distributions in a non-commutative probability space. In?nite dimensional free in?nitely divisible distributions are de?ned and characterized in terms of their free cumulants. It is proved that for a sequence of random variables, the following three statements are equivalent:(1) the distribution of the sequence is multidimensional free in?nitely divisible;(2) the sequence is the limit in distribution of a sequence of triangular trays of families of random variables;(3) the sequence has the same distribution as that of {a_1^((i)): i = 1, 2,...}of a multidimensional free L′evy process {{a_1^((i)): i = 1, 2,...} : t≥0}. Under certain technical assumptions, this is the case if and only if the sequence is the limit in distribution of a sequence of sequences of random variables having multidimensional compound free Poisson distributions.

关键词： free probability multidimensional free Poisson distributions multidimensional free infinitely divisible distributions

Conservation Laws and Self-Consistent Sources for a Super-Classical-Boussinesq Hierarchy

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Chinese Physics Letters 2011年第12期28卷 1-4页

作者： YU Fa-Jun College of Maths and Systematic Science Shenyang Normal UniversityShenyang 110034

The super-classical-Boussinesq hierarchy with self-consistent sources is ***,infinitely many conservation laws for the integrable super-classical-Boussinesq hierarchy are established.

关键词： Boussinesq infinitely integrable

A Two-Soliton Solution of Cubic Schrodinger Equation

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Chinese Physics Letters 1996年第1期13卷 17-19页

作者： YAN Jia-ren CHOU Guang-hui WANG Xiao-gang Department of Physics Hu'nan Normal UniversityChangsha 410081

An exact two-soliton solution of cubic Schrodinger equation is derived by using the inverse scattering method,where the transmission coefficient has one pole of second order instead of two simple *** solution describes such a process that two infinitely separated solitons approach and then pass through each other and keep straight on infinitely.

关键词： infinitely straight soliton

Tissue-like P systems with polarizations

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Frontiers of Computer Science 2024年第4期18卷 209-210页

作者： Yueguo LUO Yi LIU Yuzhen ZHAO Ping GUO College of Big Data and Intelligent Engineering Yangtze Normal UniversityChongqing 408100China College of Rail Transit and Aviation Services Chongqing Industry Polytechnic CollegeChongqing 401120China Business School Shandong Normal UniversityJinan 250014China College of Computer Science Chongqing UniversityChongqing 400044China

1 Introduction Natural computing refers to a computational paradigm inspired by biological mechanisms in ***-like P systems,a basic variant in membrane computing,can be viewed as distributed and parallel bio-inspired computing devices,where the objects in each region can communicate using corresponding channels,and infinitely many objects may exist in the ***[1],a novel variant of P systems with active membranes was *** application of rules in this variant is associated with the polarization on a corresponding membrane.

关键词： computing environment. infinitely

Two conceptual models of displacement transfer and examples

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Science China Earth Sciences 2005年第7期48卷 900-911页

作者： GUAN Shuwei1,2, WANG Xin2, YANG Shufeng2, HE Dengfa1 & ZHAO Weidong3 1. Research Institute of Petroleum Exploration and Development, Beijing 100083, China 2. Department of Geosciences, Zhejiang University, Hangzhou 310027, China 3. Tarim Oilfield Company, Korla 841000, China Research Institute of Petroleum Exploration and Development Beijing 100083 China Department of Geosciences Zhejiang University Hangzhou 310027 China Tarim Oilfield Company Korla 841000 China

This paper presents two conceptual models of displacement transfer, reverse sym- metry model and infinitely equal division model, based on the fault-bend folding theory. If the fault shape is held constant in the trend, then the distribution of slip magnitude, geometry of imbricate structures and its axial surface map all display reverse symmetry on the process of displacement transfer, as called reverse symmetry model in this paper. However, if the ramp height of thrust fault decreases gradually along its strike, the displacement is postulated to be equally and infinitely divided to every thrust that is formed subsequently, this kinematic process is described using infinitely equal division model. In both models, displacement transfer is characterized by the regular changes of imbricate thrusting in the trend. Geometric analysis indicates that the displacement transfer grads can be estimated using the tangent of deflective angle of hinterland structures. Displacement transfer is often responsible for the distortion and branching of the surface anticlines, especially in the region where the multi-level detachment structures is developed. We also present some examples from the frontal structures of the Southern Tianshan fold-and-thrust belt, Xinjiang, China. Displacement transfer between deep imbricate thrusts in the middle segment of Qiulitag anticline zone causes the Kuqatawu and Southern Qiulitag deep an- ticlines left-lateral echelon. The region, where these two deep anticlines overlap, is characterized by duplex structures, and extends about 18 km. The shallow anticline is migrated southward displaying obvious “S” form in this area.

关键词： displacement transfer fault-bend folding reverse symmetry model infinitely equal division model Qiulitag zone.

ON THE GERM-MARKOV PROPERTY OF THE GENERALIZED N-PARAMETER ORNSTE IN-UHLENBECK PROCESS

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Chinese Annals of Mathematics,Series B 1989年第1期10卷 65-73页

作者：罗首军 Department of Mathematics Nankai University Tianjin China

A generalized N-parameter Ornstein-Uhlenbeck process （GOUPN） is defined asX（t）=[f（t）]-1integral from n=a to t f（s）（ds）,t∈RaN, where a=（0…, 0） or （-∞, …, -∞）, correspondently RaN=R+Nor RN, and η（ds） is the standard Gaussian orthogonal random measure and f is an infinitely differentiable and locally quadratically integrable positive function. In this paper it is proved that the GOUPNhas the so called germ-Markov property with respect to any bounded domain, and two examples are given which say that for spherical and some pyramid-like domains, the minimal splitting σ-algebras for the 'interior' and the 'onter' information σ-algebras are strictly 'larger' than the boundary information σ-algebras.

关键词： differentiable integrable infinitely spherical interior pyramid splitting strictly algebra locally

On a Conjecture of Hayman

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Acta Mathematica Sinica,English Series 1991年第2期7卷 119-126页

作者：华歆厚庄圻泰 Department of Mathematics Peking University

Let f(z) be a transcendental meromorphic function in the plane. Hayman conjecturedthat ff’ assumes all finite values except possibly zero infinitely many times. In this paper, we solve thisconjecture partly.

关键词： infinitely possibly partly nonzero integer inequality Chuang 解口 deduce noting