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Bloch constant of holomorphic mappings on the unit polydisk of C^n

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Science China mathematics 2008年第4期51卷 652-659页

作者： WANG JianFei~(1+) LIU TaiShun~2 1 college of mathematics and physics information engineering zhejiang normal university jinhua 321004,China 2 Department of mathematics Huzhou Teachers college Huzhou 313.00 China college of mathematics and physics Information Engineering Zhejiang Normal University Jinhua China Department of mathematics Huzhou Teachers College Huzhou China

In this paper,we give a definition of Bloch mappings defined in the unit polydisk D^n, which generalizes the concept of Bloch functions defined in the unit disk *** is known that Bloch theorem fails unless we have some restrictive assumption on holomorphic mappings in several complex *** shall establish the corresponding distortion theorems for subfamiliesβ(K)andβ_(loc)(K) of Bloch mappings defined in the polydisk D^n,which extend the distortion theorems of Liu and Minda to higher *** an application,we obtain lower and upper bounds of Bloch constants for various subfamilies of Bloeh mappings defined in D^*** particular,our results reduce to the classical results of Ahlfors and Landau when n=1.

关键词： Bloch constant Bloch mapping univalent ball critical point Julia lemma locally biholomorphic mapping Landau constant

Identification of Semen Celosiae and Cockscomb Flower Using Continuous Wavelet Transform with FTIR

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稀有金属材料与工程 2006年第S3期 614-616页

作者： Changjiang Zhang~1 Cungui Cheng~2 (1.college of mathematics,physics and information engineering,zhejiang normal university,jinhua 321004,China) (2.college of Chemistry and Life Science,zhejiang normal university,jinhua 321004,China)

Infrared spectra of semen celosiae and cockscomb flower can be obtained directly,quickly and accurately employing Fourier transform infrared spectroscopy (FTIR) with OMN1 *** wavelet transform (CWT) is employed to zoom in local region of infrared spectra of semen celosiae and cockscomb *** difference of infrared spectra between semen celosiae and cockscomb flower is greatly *** rate is greatly improved. Daubechies wavelet is used as mother *** is implemented to the infrared spectra of semen celosiae and cockscomb *** difference between semen celosiae and cockscomb flower is observed at all scales in the continuous wavelet *** optimal scale is selected to identify semen celosiae and cockscomb *** results show that it is effective to apply CWT on the basis of FTIR to identify traditional Chinese medicinal materials,which are the same general but different species.

关键词： semen celosiate cockscomb flower FTIR CWT Chinese medical material

Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips

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Science China mathematics 2005年第2期48卷 248-260页

作者： SHUI Shuliang & ZHU Deming college of mathematics and physics, zhejiang normal university, jinhua 321004, China Department of mathematics, East China normal university, Shanghai 200062, China 1. college of mathematics and physics Zhejiang Normal University 321004 Jinhua China 2. Department of mathematics East China Normal University 200062 Shanghai China

Homoclinic bifurcations in four-dimensional vector fields are investigated by setting up a local coordinate near a homoclinic orbit. This homoclinic orbit is principal but its stable and unstable foliations take inclination flip. The existence, nonexistence, and uniqueness of the 1-homoclinic orbit and 1-periodic orbit are studied. The existence of the two-fold 1-periodic orbit and three-fold 1 -periodic orbit are also obtained. It is indicated that the number of periodic orbits bifurcated from this kind of homoclinic orbits depends heavily on the strength of the inclination flip.

关键词： bifurcation, homoclinic orbit, non-resonance, inclination flip, 1-periodic orbit.

Variable Separation Solution for(1+1)-Dimensional Nonlinear Models Related to Schrdinger Equation

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Communications in Theoretical physics 2004年第10期42卷 568-572页

作者： XU Chang-Zhi~(1,2) ZHANG Jie-Fang~11 Institute of Nonlinear physics,zhejiang normal university,jinhua 321004,China2 Department of physics and mathematics,jinhua Educational college,jinhua 321000,China Department of physics and mathematics Jinhua Educational College Jinhua 321000 China

A variable separation approach is proposed and successfully extended to the(1+1)-dimensional *** new exact solution of(1+1)-dimensional nonlinear models related to Schr(?)dinger equation by the entranceof three arbitrary functions is *** special types of soliton wave solutions such as multi-soliton wave solution,non-stable soliton solution,oscillating soliton solution,and periodic soliton solutions are discussed by selecting thearbitrary functions appropriately.

关键词： variable separation approach (1+1)-dimensional nonlinear models solution of soliton

Some Properties of Aut*（X） and the Subgroup AutΣ（X）

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Communications in Mathematical Research 2009年第2期 97-103页

作者： Qian You-hua and Chen Sheng-min (college of mathematics,physics and information engineering,zhejiang normal university,jinhua,zhejiang,321004)

Let Aut*(X) denote the group of homotopy classes of self-homotopy equivalences of X, which induce identity automorphisms of homology group. We describe a decomposition of Aut*(X1∨…∨Xn) as a product of its simpler subgroups. We consider the subgroup AutΣ (X) of all self homotopy classes α of X such that Σα = 1ΣX : ΣX→ΣX, and also give some properties of AutΣ (X).

关键词： self-homotopy equivalences the wedge space reducible

A Review on the Application of Deep Learning Methods in Detection and Identification of Rice Diseases and Pests

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Computers, Materials & Continua 2024年第1期78卷 197-225页

作者： Xiaozhong Yu jinhua Zheng college of Computer Science and Technology Hengyang Normal UniversityHengyang421002China Hunan Provincial Key Laboratory of Intelligent information Processing and Application Hengyang Normal UniversityHengyang421002China

In rice production,the prevention and management of pests and diseases have always received special *** methods require human experts,which is costly and *** to the complexity of the structure of rice diseases and pests,quickly and reliably recognizing and locating them is ***,deep learning technology has been employed to detect and identify rice diseases and *** paper introduces common publicly available datasets;summarizes the applications on rice diseases and pests from the aspects of image recognition,object detection,image segmentation,attention mechanism,and few-shot learning methods according to the network structure differences;and compares the performances of existing ***,the current issues and challenges are explored fromthe perspective of data acquisition,data processing,and application,providing possible solutions and *** study aims to review various DL models and provide improved insight into DL techniques and their cutting-edge progress in the prevention and management of rice diseases and pests.

关键词： Deep learning rice diseases and pests image recognition object detection

Quantum secret sharing between multiparty and multiparty with four states

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Science China(physics,Mechanics & Astronomy) 2007年第5期50卷 572-580页

作者： YAN FengLi1, GAO Ting2 & LI YouCheng1 1 college of physics and information engineering, Hebei normal university, Shijiazhuang 050016, China 2.college of mathematics and information Science, Hebei normal university, Shijiazhuang 050016, China 1. college of physics and information engineering Hebei Normal University Shijiazhuang 050016 China 2. college of mathematics and information Science Hebei Normal University Shijiazhuang 050016 China

A protocol of quantum secret sharing between multiparty and multiparty with four states was presented. It was shown that this protocol can nullify the Trojan horse attack with a multi-photon signal, the fake-signal attack with Einstein-Podolsky- Rosen pairs, the attack with single photons, and the attack with invisible photons. In addition, the upper bounds of the average success probabilities were given for dishonest agent eavesdropping encryption using the fake-signal attack with any two-particle entangled states.

关键词： quantum secret sharing, security, Einstein-Podolsky-Rosen pairs

On 3-colorability of planar graphs without adjacent short cycles

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Science China mathematics 2010年第4期53卷 1129-1132页

作者： WANG YingQian 1,MAO XiangHua 1,LU HuaJing 2 & WANG WeiFan 1 1 college of mathematics,physics and information engineering,zhejiang normal university,jinhua 321004,China 2.college of Basic Science,Ningbo Dahongying university,Ningbo 315175,China 1. college of mathematics Physics and Information Engineering Zhejiang Normal University Jinhua 321004 China2. College of Basic Science Ningbo Dahongying University Ningbo 315175 China

A short cycle means a cycle of length at most *** this paper,we prove that planar graphs without adjacent short cycles are *** improves a result of Borodin et al.(2005).

关键词： planar graph coloring extension cycle

New multisoliton solutions of the(2+1)-dimensional dispersive long wave equations

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Communications in Nonlinear Science and Numerical Simulation 2001年第3期6卷 178-182页

作者： Jiefang ZHANG and Ping HAN Institute of Nonlinear physics, zhejiang normal university, jinhua 321004, China college of engineering, zhejiang Ocean university, Zhoushan 316004, China Institute of Nonlinear physics Zhejiang Normal University Jinhua 321004 China college of engineering Zhejiang Ocean University Zhoushan 316004 China

Using the extension homogeneous balance method, we have obtained a nonlinear transformation to simplify the (2+1)-dimensional dispersive long wave equations into a linear partial differential equation, and found some ... 详细信息

关键词： multisoliton (2+1)-dimensions dispersive long wave equations