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THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS

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Chinese Annals of Mathematics,Series B 1998年第4期19卷 401-408页

作者： LIU TAISHUN (Department of Mathematics, university of Science and technology of China, Hefei 230026, China)REN GUANGBIN (Department of Mathematics, university of Science and technology of China, Hefei 230026, China) Department of Mathematics University of Science and Technology of China Hefei 230026 China

The authors obtain the growth and covering theorem for the class of normalized biholomorphic starlike mappings on bounded starlike circular *** type of domain discussed is rather general, since the domain must be starlike if there exists a normalized biholomorphic starlike mapping on it. In the unit disc, it is just the famous growth and covering theorem for univalent *** theorem successfully realizes the initial idea of H. Cartan about how to extend geometric function theory from one variable to several complex variables.

关键词： Starlike mappings Growth theorem Starlike circular domains

Stochastic responses of tumor-immune system with periodic treatment

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Chinese Physics B 2017年第9期26卷 25-32页

作者：李东喜李颖 College of Data Science Taiyuan University of TechnologyTaiyuan 030024China College of Mathematics Taiyuan University of TechnologyTaiyuan 030024China

We investigate the stochastic responses of a tumor–immune system competition model with environmental noise and periodic treatment. Firstly, a mathematical model describing the interaction between tumor cells and immune system under external fluctuations and periodic treatment is established based on the stochastic differential equation. Then, sufficient conditions for extinction and persistence of the tumor cells are derived by constructing Lyapunov functions and Ito＇s formula. Finally, numerical simulations are introduced to illustrate and verify the results. The results of this work provide the theoretical basis for designing more effective and precise therapeutic strategies to eliminate cancer cells, especially for combining the immunotherapy and the traditional tools.

关键词： stochastic responses environmental noise tumor–immune system extinction

INFRARED DETECTOR USING SUPERCONDUCTING YBa_2Cu_3O_7-δTHIN FILMS

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Journal of Wuhan university of technology(Materials Science) 1999年第4期14卷 40-47页

作者： WU Youyu YI XinjianWuhan Automotive Polytechnic universityHuazhong university of Science and technology Wuhan Automot. Polytech. university China School of Electronic and Information Wuhan Automot. Polytech. University Wuhan 430070 China Huazhong Univ. of Sci. and Technol. China

The patterning technologies and process order of high Tc(86K) super-conducting film bolometers have been studied. After the deposition, a conventional lithographic process was used to pattern the films with aqueous solution of HCl, and then the films were transferred into a tube furnace for annealing to form superconducting film. It eliminates the degradation of patterning process. The bolometric responsivity of approximately 34. 32 V/W is measured, and the detectivity is greater than 1. 62× 108cm · Hz1/2 · W-1, the noise equivalent powers NEP is 2. 1×10-9W.

关键词： bolometer patterning etching solu- tion YBa_2Cu_3O_7 δ superconducting films

Calculating Model of Mass Action Concentrations for Mn-C Melts and Optimization of Thermodynamic Parameters

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International Journal of Minerals,Metallurgy and Materials 1998年第4期12卷 208-211页

作者： Jian Zhang(Metallurgy School, university of Science and technology Beijing, Beijing 100083, China) Metallurgy School University of Science and Technology Beijing Beijing 100083 China

Based on the phase diagram, the coexistence theory of the metallic melt structure involving compoundformation and the regularity of melts containing saturated phase, a calculating model of mass action concentrationsfor Mn-C melts was formulated. According to the activities (or activity coefficients AM. and γc.), obtained by theUnified Interaction Parameter Model (UIPM), the thermodynamic parameters G and G at higher temperatures (1628～1873 K) were optimized by the repeated try and error method. It is testified that G G(873～1273 K) and G (298～1623 K), obtained at lower temperatures, can also be used at the above-mentionedhigher temperatures. The calculated N. and N agree well with ac. and ac obtained by UIPM. This result showsthat the deduced model can reflect the structural reality of Mn-C melts.

关键词： Mn-C melts activity coexistence theory mass action concentration

A Back Look on the Binary Phase Diagrams of Metals from the Mass Action Law and the Coexistence Theory of Metallic Melts

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Journal of university of Science and technology Beijing 2001年第1期8卷 15-19页

作者： Jian Zhang Metallurgy School, university of Science and technology Beijing, Beijing 100083, China Metallurgy School Univ. of Science/Technology Beijing Beijing 100083 China

According to the mass action law and the coexistence theory of metallic melts, the mass action concentrations of Cu-Mg, Bi-Tl and Ni-Al melts involving compound formation have been calculated. The calculated results show that, except the ultimate case of pure element, when two elements are present in the melts, all structural units (atoms and molecules) without exception will be present in the melts, i.e., their concentrations may change from great to small, but they will not vanish into nothing, and only under such conditions, the calculated results both agree with practice and obey the law of mass action. In view of that over considerable wide composition range, the activities of both elements of the three solid binary alloys mentioned above have been measured, this seems in contradiction with the present relevant phase diagrams, in which the structural units are determined by composition range, so the latter needs further investigation and consideration.

关键词： activity phase diagram the mass action law the coexistence theory

FRACTAL GEOMETRY STUDY OF CORRELATION BETWEEN IMPACT TOUGHNESS OF STEEL AND PARAMETERS OF FREE-CUTTING PHASE

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Acta Metallurgica Sinica(English Letters) 1992年第4期5卷 250-255页

作者： JIANG Laizhu CUI Kun Huazhong university of Science and technology,Wuhan,China Huazhong Univ of Science and Technology Wuhan China

Studies were made of the calculation of fractal dimension of transverse impact fracture sur- face,and of the correlation between impact toughness of steel and parameters of free-cutting phase by means of the developed fractal geometry model of crack *** is believed that the area fraction,f,of free-cutting phase is negligibly influential to the longitudinal im- pact toughness,as f1 .While the aspect ratio,saying ratio of length to width,of free-cut. ting phase is inversely influential to the transverse impact *** may .be the reason why the transverse impact toughness of free-cutting steel containing more rare earth contrast to sulphur is even higher than the low sulphur containing steel.

关键词： fractal geometry impact toughness free-cutting phase

THE TOLERANCE DESIGN MANUFACTURE AND RELIABILITY

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中国有色金属学会会刊：英文版 1995年第2期5卷 127-130页

作者： Jiang, Jianchun(Department of Mechanical Engineering,Central South university of technology, Changsha 410083) Central South Univ of technology Changsha China

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关键词： tolerance fit reliability service probability distribution machining precision tribology design CAD

ISOTROPIC YIELD BEHAVIORS OF BCC AND FCC METALS

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Acta Metallurgica Sinica(English Letters) 1992年第5期5卷 358-361页

作者： CHEN Jiwei LIAN Jianshe Jilin university of technology,Changchun,China Jilin Univ of technology Changchun China

Isotropic yield surfaces of bcc and fec metals have been simulated with TBH *** the five-dimensional stress space proposed recently by Lequeu et al.,the yield subsurfaces on any two of the three shear stresses can be considered as the inscribed circles of their corresponding subsurfaces on n *** on this concept,Hershey,Hosford and Hill (HHH) yield func- tion has been transformed into the formula where the parameters are uniquely determined by two crystallographic factors:the mean Taylor factor in plane strain (M_p) and the critical shear stress (τ_) on slip systems.

关键词： Polycrystalline plasticity yieldfunction cubic metals

FORMING PRINCIPLE OF TWO SIDE-DIRECTION BURR AND IT'S PREDICTION IN METAL CUTTING

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Chinese Journal of Mechanical Engineering 2001年第4期14卷 300-304页

作者： Wang Guicheng (School of Machinery Engineering,Jiangsu university of Science and technology) 江苏理工大学江苏

The burr is one of the common phenomena occurring i n metal cutting operations The mathematical mechanical model of two side dir ection burr formation and transformation is established with plane stress strain theory,based on the orthogonal cutting The main laws of formation and change of the burr are revealed,and it is confirmed by experiment result,which first realizes prediction of the forming and changing of the two side direction burr in metal cutting operation.

关键词： Metal cutting Two side direction burr Mathe matical mechanical model Prediction Precision and ultraprecision machining