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Algebraic Verification of Finite Group-Based Potential Games with Vector Payoffs

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Journal of Systems Science & Complexity 2022年第6期35卷 2131-2144页

作者： WANG Yuanhua LI haitao Business School Shandong Normal UniversityJi'nan 250014China School of Mathematics and Statistics Shandong Normal UniversityJi'nan 250014China

This paper studies a class of strategic games,where players often collaborate with other players to form a group when making decisions,and the payoff functions of players in such games are presented as vector ***,using the semi-tensor product(STP)method,it is proved that a finite game with vector payoffs is potential if and only if its potential equation has *** adding a suitable weight vector to the vector payoffs of each player,a finite game with vector payoffs that is not potential can be converted into a potential ***,as a natural generalization,the authors consider the verification problem of the group-based potential games with vector *** solving a linear potential equation,a simple formula is obtained to calculate the corresponding potential ***,some examples are presented and discussed in detail to illustrate the theoretical results.

关键词： Group-based potential games potential equation semi-tensor product of matrices vector payoffs

Dynamic behavior of rectangular crack in three-dimensional orthotropic elastic medium by means of non-local theory

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Applied Mathematics and Mechanics(English Edition) 2017年第2期38卷 173-190页

作者： haitao LIU Zhengong ZHOU School of Mechanical Engineering Hebei University of Technology Center for Composite Materials and Structures Harbin Institute of Technology

The dynamic behavior of a rectangular crack in a three-dimensional （3D） orthotropic elastic medium is investigated under a harmonic stress wave based on the non-local theory. The two-dimensional （2D） Fourier transform is applied, and the mixed- boundary value problems are converted into three pairs of dual integral equations with the unknown variables being the displacement jumps across the crack surfaces. The effects of the geometric shape of the rectangular crack, the circular frequency of the incident waves, and the lattice parameter of the orthotropic elastic medium on the dynamic stress field near the crack edges are analyzed. The present solution exhibits no stress singularity at the rectangular crack edges, and the dynamic stress field near the rectangular crack edges is finite.

关键词： orthotropic elastic medium rectangular crack time-harmonic P-wave,non-local theory

Recognizing Social Function of Urban Regions by Using Data of Public Bicycle Systems

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Chinese Journal of Electronics 2019年第1期28卷 13-20页

作者： XU haitao YING Jing College of Computer Science and Technology Zhejiang University

Obtaining the classification of urban functions is an integral part of urban planning. Currently,public bicycle systems are booming in these years. It conveys human mobility and activity information, which can be closely related to the social function of an urban region. This paper discusses the potential use of public bicycle systems for recognizing the social function of urban regions by using one year’s rent/return data of public bicycles. We found that rent/return dynamics, extracted from public bicycle systems, exhibited clear patterns corresponding to the urban function classes of these regions. With seven features designed to characterize the rent/return pattern, our method based on Smooth support vector machine(SSVM) is proposed to recognize social function classes of urban regions. We evaluate our method based on the large-scale real-world dataset collected from the public bicycle system of Hangzhou. The results show that our method can efficiently recognize different types of urban function areas. Classification results using the proposed SSVM achieved the best classification accuracy of 96.15%.

关键词： Urban regions recognition Public bicycle system Social function classification Smooth support vector machine(SSVM)

A new accelerating technique for low speed flow:Pseudo high speed method

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Chinese Journal of Aeronautics 2022年第8期35卷 45-64页

作者： haitao DONG Fujun LIU NLCFD School of Aeronautic Science and EngineeringBeihang UniversityBeijing 100083China China Aerodynamic Research and Development Center Mianyang 621000China

This paper proposes a new accelerating technique for simulating low speed flows,termed as p Seudo High Speed method(SHS),which uses governing equations and numerical methods of compressible *** method has advantages of simple formula,easy manipulation,and only need to modify flux of Euler *** can directly employ the existing well-developed schemes of hyperbolic conservation *** verify the technique,several numerical experiments are performed,such as:flow past airfoils and flow past a *** of SHS method and comparisons with some precondition methods are made *** tests show that SHS method can greatly improve the efficiency of compressible method simulating low speed flow fields,which exhibits in accelerating the convergence rate and increasing the accuracy of the numerical results.

关键词： Artificial speed of sound Euler equations Low speed flow Navier-Stokes equations Precondition method Pseudo High Speed(SHS)

The Reduced Space Method for Calculating the Periodic Solution of Nonlinear Systems

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Computer Modeling in Engineering & Sciences 2018年第5期115卷 233-262页

作者： haitao Liao Institute of advanced structure technology Beijing institute of technologyBeijing 100081China

A hybrid method combined the reduced Sequential Quadratic Programming(SQP)method with the harmonic balance method has been developed to analyze the characteristics of mode localization and internal resonance of nonlinear bladed *** the aid of harmonic balance method,the nonlinear equality constraints for the constrained optimization problem are *** reduced SQP method is then utilized to deal with the original constrained optimization *** the null space decomposition technique to the harmonic balance algebraic equations results in the vanishing of the nonlinear equality constraints and a simple optimization problem involving only upper and lower bound constraints on the optimization variables is formed and ***,numerical results are given for several test examples to validity the proposed *** efficiency of the solution method to trace the family of energy dependent nonlinear modes is *** localization nonlinear normal modes of bladed disks related to various types of internal resonances are explored.

关键词： Nonlinear normal modes internal resonances reduced SQP method harmonic balance method

清血八味片对高脂血症金黄地鼠血脂的影响及其机制

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药学研究 2020年第2期39卷 77-80页

作者：孙梦佳杜海涛苏丽红董梅月于鹏飞蒋海强山东中医药大学药学院山东济南250355 青岛优抚医院山东青岛266000 内蒙古蒙奇药业有限公司内蒙古呼和浩特011700 山东中医药大学实验中心山东济南250355

目的观察清血八味片对高脂血症模型金黄地鼠的降血脂作用。方法以高脂膳食诱导高脂血症金黄地鼠模型,给予不同剂量清血八味片,测定给药2周和4周后血清中总胆固醇(Tch)、三酰甘油(TG)、高密度脂蛋白胆固醇(HDL-C)、低密度脂蛋白胆固醇(LD... 详细信息

目的观察清血八味片对高脂血症模型金黄地鼠的降血脂作用。方法以高脂膳食诱导高脂血症金黄地鼠模型,给予不同剂量清血八味片,测定给药2周和4周后血清中总胆固醇(Tch)、三酰甘油(TG)、高密度脂蛋白胆固醇(HDL-C)、低密度脂蛋白胆固醇(LDL-C)的变化,计算肝脏指数。结果造模2周,与正常组比,高脂模型组总胆固醇、三酰甘油、LDL-C升高(P<0.05),表示高脂血症造模成功。给药2周,与模型组相比,阳性药组三酰甘油水平下降(P<0.05),中剂量组的总胆固醇、三酰甘油、低密度脂蛋白胆固醇出现显著性差异;给药4周,与模型组相比,阳性药组三酰甘油水平下降(P<0.05),高中低3个剂量组总胆固醇、三酰甘油水平下降,高密度脂蛋白胆固醇水平升高,具有显著性差异(P<0.05);中、高剂量组的肝脏质量以及肝脏指数下降,具有显著性差异(P<0.05)。结论清血八味片可以降低高脂血症金黄地鼠的总胆固醇、三酰甘油、低密度脂蛋白胆固醇水平,升高高密度脂蛋白胆固醇水平,结合肝脏指数,说明具有一定的降血脂功效。

关键词：清血八味片高脂血症血脂金黄地鼠

Significant effect of as-cast microstructure on texture evolution and magnetic properties of strip cast non-oriented silicon steel

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Journal of Materials Science & Technology 2018年第12期34卷 2472-2479页

作者： haitao Jiao Yunbo Xu Wenzheng Qiu Haijie xu R.D.K.Misra Yifeng du Jianping Li Guodong Wang State Key Laboratory of Rolling and Automation Northeastern UniversityShenyang 110819China Laboratory for Excellence in Advanced steel Research Department of MetallurgicalMaterialsand Biomedical EngineeringUniversity of Texas at El PasoTX 79968USA Liaoyang Petroleum Steel Pipe Manufacturing Company Liaoyang 111003China

In this study, two types of as-cast microstructure produced by strip casting were cold rolled and annealed to investigate the effect of initial microstructure on the textural evolution and magnetic properties of non-oriented silicon steel. The results indicated that the cold-rolled sheets of coarse-grained strip with pronounced {100} components exhibited stronger 入 fiber(//ND) and weaker γ fiber(//ND)texture as composed to the fine-grained strip with strong Goss({110}(001)) texture. After annealing, the former was dominated by η fiber(//RD) texture with a peak at {110}during annealing, resulting in recrystallization of grain size of ～46 μm in the coarse-grained specimen and ～41μm in the fine-grained ***, higher magnetic induction(～1.72 T) and lower core loss(～4.04 W/kg) were obtained in the final annealed sheets of coarse-grained strip with strong {100} texture.

关键词： As-cast microstructure Non-oriented silicon steel Strip casting Texture Magnetic properties

Wafer-scale fabrication of carbon-nanotube-based CMOS transistors and circuits with high thermal stability

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Nano Research 2022年第11期15卷 9875-9880页

作者： Nan Wei Ningfei Gao haitao Xu Zhen Liu Lei Gao Haoxin Jiang Yu Tian Yufeng Chen Xiaodong du Lian-Mao Peng Beijing HuaTanYuanXin Electronics Technology Ltd.Co. Beijing 101399China Research Center for Carbon-based Electronics Peking UniversityBeijing 100871China Beijing Institute of Carbon-based Integrated Circuits Beijing 100195China

Thanks to its single-atomic-layer structure,high carrier transport,and low power dissipation,carbon nanotube electronics is a leading candidate towards beyond-silicon *** low temperature fabrication processes enable three-dimensional(3D)integration with logic and memory(static random access memory(SRAM),magnetic random access memory(MRAM),resistive random access memory(RRAM),etc.)to realize efficient near-memory ***,carbon nanotube transistors require good thermal stability up to 400℃ processing temperature to be compatible with back-end-of-line(BEOL)process,which has not been previously *** this work,we developed a robust wafer-scale process to build complementary carbon nanotube transistors with high thermal stability and good uniformity,where AlN was employed as electrostatic doping *** gate stack and passivation layer were optimized to realize high-quality ***,we demonstrate 1-bit carbon nanotube full adders working under 250℃ with rail-to-rail outputs.

关键词： carbon nanotube field-effect transistors complementary metal-oxide-semiconductor(CMOS) thermal stability waferscale integrated circuits

Stokes'first problem for a viscoelastic fluid with the generalized Oldroyd-B model

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Acta Mechanica Sinica 2007年第5期23卷 463-469页

作者： haitao Qi Mingyu Xu Department of Applied Mathematics and Statistics Shandong University at Weihai Weihai 264209 China School of Mathematics and System Science Shandong University Jinan 250100 China

The flow near a wall suddenly set in motion for a viscoelastic fluid with the generalized Oldroyd-B model is studied. The fractional calculus approach is used in the constitutive relationship of fluid model. Exact analytical solutions of velocity and stress are obtained by using the discrete Laplace transform of the sequential fractional derivative and the Fox H-function. The obtained results indicate that some well known solutions for the Newtonian fluid, the generalized second grade fluid as well as the ordinary Oldroyd-B fluid, as limiting cases, are included in our solutions.

关键词： Generalized Oldroyd-B fluid Stokes' first problem Fractional calculus Exact solution Fox H-function