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| 1 | Weighted composition operators between μ-Bloch spaces on the unit ball显示文摘In this paper, necessary and sufficient conditions are given for the weighted composition operator Tψ,ψ to be bounded or compact from the spaceβμ to βv, (or βμ,o to βv,o) on the unit ball of Cn. At the same time, a series of corollaries are also obtained. | ZHANG Xuejun~1 & XIAO Jianbin~2 1. College of Mathematics and Computer Science,Hunan Normal University,Changsha 410006,China(email:xuejunttt@263. net) 2. The School of Science,Hangzhou Dianzi University,Hangzhou 310037,China | 2005 | Science China Mathematics2005，48，10： | 49 |
| 2 | Geometric construction of energy-minimizing Bézier curves显示文摘Modeling energy-minimizing curves have many applications and are a basic problem of Geometric Modeling.In this paper,we propose the method for geometric design of energy-minimizing B′ezier curves.Firstly,the necessary and sufficient condition on the control points for B′ezier curves to have minimal internal energy is derived.Based on this condition,we propose the geometric constructions of three kinds of B′ezier curves with minimal internal energy including stretch energy,strain energy and jerk energy.Given some control points,the other control points can be determined as the linear combination of the given control points.We compare the three kinds of energy-minimizing B′ezier curves via curvature combs and curvature plots,and present the collinear properties of quartic energy-minimizing B′ezier curves.We also compare the proposed method with previous methods on efficiency and accuracy.Finally,several applications of the curve generation technique,such as curve interpolation with geometric constraints and modeling of circle-like curves are discussed. | XU Gang 1,4,5,WANG GuoZhao 2 & CHEN WenYu 2,3 1 Institute of Graphics and Image,Hangzhou Dianzi University,Hangzhou 310018,China 2 Department of Mathematics,Zhejiang University,Hangzhou 310027,China 3 School of Computer Engineering,Nanyang Technological University,639798,Singapore 4 Galaad,INRIA Sophia-Antipolis,2004 Route des Lucioles,06902,France 5 State Key Lab of CAD & CG,Zhejiang University,Hangzhou 310027,China | 2011 | Science China(Information Sciences)2011，54，7： | 15 |
| 3 | Effective generalized equations of secure hyperelliptic curve digital signature algorithms显示文摘A hyperelliptic curve digital signature algorithm (HECDSA) can be viewed as the hyperelliptic curve analogue of the standard digital signature algorithm (DSA). This article discusses divisor evaluations,the basic HECDSA,variants,two HECDSA equations and a 4-tuple HECDSA scheme,and puts forward a generalized equation for HECDSA. From this generalized equation,seven general HECDSA types are derived based on the efficiency requirements. Meanwhile,the securities of these general HECDSA types are analyzed in detail. | YOU Lin ,SANG Yong-xuan College of Communication Engineering,Hangzhou Dianzi University,Hangzhou 310018,China | 2010 | The Journal of China Universities of Posts and Telecommunications2010，17，2： | 7 |
| 4 | 一种基于深度学习的超声导波缺陷重构方法显示文摘超声导波检测因其传播效率高、耗能少等优势成为了无损检测领域的重要研究方向.目前已有的利用超声导波进行结构缺陷探测和定量化重构的方法主要由相关的导波散射理论推导得出.然而,由于导波散射问题本身的高复杂性,使得在推导上述理论方法时引入一些近似假设,降低了重构结果的质量.另外,有些方法通过优化迭代的方式提高重构精度,又会增加检测的时间成本.有鉴于此,论文探索了一种将卷积神经网络与导波散射理论模型以局部融合的方式实现缺陷定量化重构的新方法.应用样本数据训练后的神经网络实现缺陷定量化重构,弥补缺陷重构过程中的理论模型误差,同时去除在实际检测过程中所存在的环境噪声.论文以利用SH导波重构平板中的减薄缺陷为研究对象,通过数值模拟验证了该方法在缺陷重构时具有高效率和高精度的特点,特别是对矩形缺陷的重构,新方法的结果精度比波数空间域变换法的精度提高了近200%. | 李奇 笪益辉 王彬 蒋浩 Dianzi Liu 钱征华 | 2021 | 固体力学学报2021，42，1： | 2 |
| 5 | Control problems of an age-dependentpredator-prey system显示文摘This paper is concerned with optimal harvesting problems for a system consisting oftwo populations with age-structure and interaction of predator-prey. Existence and uniquenessof non-negative solutions to the system and the continuous dependence of solutions on controlvariables are investigated. Existence of optimal policy is discussed, optimality conditions arederived by means of normal cone and adjoint system techniques. | HE Ze-rong WANG Hai-tao Institute of Operational Research and Cybernetics,Hangzhou Dianzi University,Hangzhou 310018,China | 2009 | Applied Mathematics(A Journal of Chinese Universities)2009，24，3： | 2 |
| 6 | On optimal binary signed digit representations of integers显示文摘Binary signed digit representation (BSD-R) of an integer is widely used in computer arithmetic, cryptography and digital signal processing. This paper studies what the exact number of optimal BSD-R of an integer is and how to generate them entirely. We also show which kinds of integers have the maximum number of optimal BSD-Rs. | WU Ting ZHANG Min DU Huan-qiang WANG Rong-bo College of Computer Science, Hangzhou Dianzi University, Hangzhou 310018, China | 2010 | Applied Mathematics(A Journal of Chinese Universities)2010，25，3： | 2 |
| 7 | 双层响应板式爆炸分离冲击环境模拟试验研究显示文摘爆炸分离冲击环境是航天器所经历的最严酷的力学环境之一,为了避免一些箭载仪器设备或者结构在飞行中损坏,因此需要进行爆炸分离冲击环境试验。针对高量级爆炸分离冲击试验设计难、影响试验结果因素多的特点,作者提出了基于机械撞击方式的双层板式爆炸分离冲击环境模拟方法,同时该方法也适用于火工品激励方式的爆炸冲击模拟试验。本研究中首先建立双层板式爆炸冲击环境模拟装置的有限元分析模型,采用Latin超立方的试验设计优化方法,确定试验样点,并进行撞击过程的计算模拟,然后对有限元模型中的关键参数进行优化设计,使获得的计算结果和试验结果的偏差最小。最后,用有限元模拟结果对优化的设计进行了验证,结果表明基于优化的计算模拟时间被大大压缩,其可实现冲击环境模拟试验的预测,对关键参数的处理方法可以用于其它类型试验的试验装置设计中,并可以大大提高了整个试验的准确性和效率。 | 皮本楼 张旭辉 丁沛 王佳南 Dianzi Liu | 2018 | 强度与环境2018，45，6： | 2 |
| 8 | A Lamination Parameter- based Strategy for Solving an Integer- continuous Problem Arising in Composite Optimization 显示文摘 | Liu Dianzi Vassili V Toropov | 2013 | Computers and Structures2013，128，： | 1 |
| 9 | Block-Transitive 2-(v,k,1) Designs and Groups E_6(q)显示文摘This article is a contribution to the study of block-transitive automorphism groups of 2-(v,k,1) block designs. Let D be a 2-(v,k,1) design admitting a block-transitive, pointprimitive but not flag-transitive automorphism group G. Let kr = (k,v-1) and q = pf for prime p. In this paper we prove that if G and D are as above and q > (3(krk-kr + 1)f)1/3, then G does not admit a simple group E6(q) as its socle. | Guang Guo HAN1,2 1. Institute of Mathematics, Hangzhou Dianzi University, Zhejiang 310018, P. R. China 2. Institute of Information Engineering, Information Engineering University, Henan 450002, P. R. China | 2010 | Journal of Mathematical Research and Exposition2010，30，4： | 1 |
| 10 | Conditional Entropy of Partitions on Quantum Logic显示文摘A construction of conditional entropy of partitions on quantum logic is given,and the properties ofconditional entropy are investigated. | ZHAO Yue-Xu Institute of Applied Mathematics and Engineering Computation,Hangzhou Dianzi University,Hangzhou 310018,ChinaMA Zhi-Hao Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China | 2007 | Communications in Theoretical Physics2007，，7： | 1 |
| 11 | A lamination parameter-based strategy for solving an integer-continuous problem arising in composite optimization显示文摘 | Dianzi Liu Vassili V. Toropov | 2013 | Computers and Structures2013，，： | 1 |
| 12 | (s,t,d)-bi-Koszul algebras显示文摘The paper focuses on the 1-generated positively graded algebras with non-pure resolutions and mainly discusses a new kind of algebras called(s,t,d)-bi-Koszul algebras as the generalization of bi-Koszul algebras. An(s,t,d)-bi-Koszul algebra can be obtained from two periodic algebras with pure resolutions. The generation of the Koszul dual of an(s,t,d)-bi-Koszul algebra is discussed. Based on it,the notion of strongly(s,t,d)-bi-Koszul algebras is raised and their homological properties are further discussed. | SI JunRu Department of Mathematics,Hangzhou Dianzi University,Hangzhou 310018,China | 2009 | Science China Mathematics2009，52，11： | 1 |
| 13 | Bilevel Optimization of Blended Composite Wing Panels显示文摘 | Dianzi Liu Vassili V Toropov Osvaldo M Querin | 2011 | Journal of Aircraft2011，48，1： | 1 |
| 14 | Bi-leveloptimization of blended composite panels显示文摘 | Dianzi Liu Vassili V Toropov David C Bartonl | 2009 | American Institute ofAeronautics and Astronautics Journal(AIAA Journal)2009，16，2： | 1 |
| 15 | Rapid subsurface damage detection of SiC using inductivity coupled plasma显示文摘This paper proposes a method for the rapid detection of subsurface damage(SSD)of Si C using atmospheric inductivity coupled plasma.As a plasma etching method operated at ambient pressure with no bias voltage,this method does not introduce any new SSD to the substrate.Plasma diagnosis and simulation are used to optimize the detection operation.Assisted by an Si C cover,a taper can be etched on the substrate with a high material removal rate.Confocal laser scanning microscopy and scanning electron microscope are used to analyze the etching results,and scanning transmission electron microscope(STEM)is adopted to confirm the accuracy of this method.The STEM result also indicates that etching does not introduce any SSD,and the thoroughly etched surface is a perfectly single crystal.A rapid SSD screening ability is also demonstrated,showing that this method is a promising approach for the rapid detection of SSD. | Yi Zhang Linfeng Zhang Keyu Chen Dianzi Liu Dong Lu Hui Deng | 2021 | International Journal of Extreme Manufacturing2021，3，3： | 1 |
| 16 | Modeling columnar spatiotemporal dynamics of nitric oxide as a primary controlling element of arteriole dilation during neurovascular coupling显示文摘Although the mechanism of neurovascular coupling remains inadequately understood,physiological research has indicated that the dilation of arterioles located within the cerebral cortex column might represent the primary mechanism of hemodynamic response during neurovascular coupling.This study examined the spatiotemporal pattern of NO diffusion induced by functional stimuli at column spatial resolution.Our modeling makes it possible to explore the responses of mediating factors to functional stimuli from a four-dimensional view,which may lead the way to decoding the mechanism of neurovascular coupling. | YANG Yong1,2,WANG MingLai2,FAN YingLe1 & ZHENG XiaoXiang2* 1Department of Biomedical Engineering,Hangzhou Dianzi University,Hangzhou 310018,China 2College of Biomedical Engineering and Instruments,Zhejiang University,Hangzhou 310028,China | 2010 | Science China(Life Sciences)2010，53，12： | 0 |
| 17 | Mean size formula of wavelet subdivision tree on Heisenberg group显示文摘The purpose of this paper is to investigate the mean size formula of wavelet packets(wavelet subdivision tree) on Heisenberg group.The formula is given in terms of the p-norm joint spectral radius.The vector refinement equations on Heisenberg group and the subdivision tree on the Heisenberg group are discussed.The mean size formula of wavelet packets can be used to describe the asymptotic behavior of norm of the subdivision tree. | WANG Guo-mao Department of Mathematics,Zhejiang University,Hangzhou 310027,China Department of Mathematics,Hangzhou Dianzi University,Hangzhou 310018,China. | 2008 | Applied Mathematics(A Journal of Chinese Universities)2008，23，3： | 0 |
| 18 | A CLASS OF SINGULARLY PERTURBED EQUATIONS FOR LARGE PARAMETER WITH THREE TURNING POINTS显示文摘A class of singularly perturbed problem of third order equation with two para-meters is studied. Using singular perturbation method, the structure of solutions to the problem is discussed in three different cases about two small parameters. The asymptotic solutions to the problem are given. The structure of solutions and the different limit behaviors are revealed. And the solutions are compared with the exact solutions to the equation in which the coefficients are constants and a relatively more perfect result is obtained. | Huang Li (Hangzhou Dianzi University, Hangzhou 310018) Xianglin Han , Cheng Ouyang (Huzhou Teachers College, Huzhou 313000, Zhejiang) | 2012 | Annals of Differential Equations2012，28，2： | 0 |
| 19 | Exact Solutions of Non-isospectral sine-Gordon Equation with Self-consistent Sources显示文摘The non-isospectral sine-Gordon equation with self-consistent sources is derived.Its solutions are obtainedby means of Hirota method and Wronskian technique,respectively.Non-isospectral dynamics including one-solitoncharacteristics,two-soliton scattering,and ghost solitons,are investigated. | BI Jin-Bo~1 The School of Science,Hangzhou Dianzi University,Hangzhou 310018,ChinaZHANG Da-Jun Department of Mathematics,Shanghai University,Shanghai 200444,China | 2007 | Communications in Theoretical Physics2007，，12： | 0 |
| 20 | A More Accurate Reconstruction Method for Detecting Large-Depth Defects in Plates Using SH Guided Waves显示文摘The inspection of thickness thinning defects and corrosion defects is greatly significant for the health prediction of plate structures.The main aim of this research is to propose a novel and effective approach to achieve the accurate and rapid detection of arbitrary defects using shear horizontal(SH)guided waves,particularly for large-depth and complex defects.The proposed approach combines the quantitative detection of Fourier transform with a reference model-based strategy to improve the accuracy of large-depth defect detection.Since the shallow defect profile is theoretically constructed by inverse Fourier transform of the product of reflection coefficients and integral coefficients of reference models,the unknown large-depth defect can be initially assessed using the relevant information from a predefined reference model.By iteratively updating the integral coefficients of reference models,the accuracy of reconstruction of large-depth defects is much improved.To achieve the converged defect profile,a termination criterion,the root mean square error,is applied to guarantee the construction of defects with a high level of accuracy.Moreover,the hybrid finite element method is used to simulate the propagation of SH guided waves in plates for calculating the reflection coefficients of plates with defects.Finally,to demonstrate the capability of the developed reconstruction method for defect detection in terms of accuracy and efficiency,three types of large-depth defect profiles,i.e.,a rectangular flaw,a double-rectangular flaw and a complex flaw,are examined.Results show that the discrepancy between the predicted defect profile and the real one is quite small,even in the largest-depth defect case where the defect depth is equal to 0.733 times the plate thickness,the minimal difference is observed.It is noted that the fast convergence of the proposed approach can be achieved by no more than ten updates for the worst case. | Yihui Da Qi Li Bin Wang Dianzi Liu Zhenghua Qian | 2021 | Acta Mechanica Solida Sinica2021，34，2： | 0 |
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