为分析光学平面面形偏差,以直径100mm光学平晶为检测对象,利用斐索干涉仪采集了被测光学平面的波面干涉图,按照美国材料与试验协会(American Society for Testing and Materials,ASTM)标准方法,通过分析,能够定性反映出被测光学平面的...为分析光学平面面形偏差,以直径100mm光学平晶为检测对象,利用斐索干涉仪采集了被测光学平面的波面干涉图,按照美国材料与试验协会(American Society for Testing and Materials,ASTM)标准方法,通过分析,能够定性反映出被测光学平面的面形偏差。计算并分析了波面偏差指标峰谷值PV和均方根值RMS,将计算结果与利用ZYGO斐索干涉仪测得的数据对比,偏差为10-3λ,符合光学检测要求。综合考虑可操作性和计算精度,这种基于ASTM的方法是一种行之有效的光学检测分析方法。展开更多
An important step for achieving the knowledge-based design freedom on nano-and interfacial materials is attained by elucidating the related surface and interface thermodynamics from the first principles so as to allow...An important step for achieving the knowledge-based design freedom on nano-and interfacial materials is attained by elucidating the related surface and interface thermodynamics from the first principles so as to allow engineering the microstructures for desired properties through smartly designing fabrication processing parameters.This is demonstrated for SnO2 nano-particle surfaces and also a technologically important Ag-SnO2 interface fabricated by in-situ internal oxidation.Based on defect thermodynamics,we first modeled and calculated the equilibrium surface and interface structures,and as well corresponding properties,as a function of the ambient temperature and oxygen partial pressure.A series of first principles energetics calculations were then performed to construct the equilibrium surface and interface phase diagrams,to describe the environment dependence of the microstructures and properties of the surfaces and interfaces during fabrication and service conditions.The use and potential application of these phase diagrams as a process design tool were suggested and discussed.展开更多
Currently, The current flat design has become a mainstream approach is widely used in web design, computer and mobile phone systems, interface design. In graphic design, graphic symbol design is increasingly being tak...Currently, The current flat design has become a mainstream approach is widely used in web design, computer and mobile phone systems, interface design. In graphic design, graphic symbol design is increasingly being taken seriously and use minimalist design symbols often appear in print design plane, PPT presentations, public areas, identity-oriented system like. This paper discusses the design of graphical symbols flat in graphic design use need to make the audience cognitive ability, graphic symbols standardized principles, design principles angles for effective information design to achieve efficient information communication. Materialized mostly graphic image symbols, and mostly flat graphic indicator; flat screen symbol by the proposed development materialized symbol interface evolved. Materialized the graphical interface and the graphical interface is flat coexist and cannot replace each other. During the design, the designer should be based on the advantages and disadvantages of the two styles complement each other interfaces, common graphical interface design services.展开更多
Combined with practical engineering, based on the introduction of soil arching theory, we explore the impact of barrier piles in blind sheet-pile bank connecting structure. Besides, we build a plane strain model by AB...Combined with practical engineering, based on the introduction of soil arching theory, we explore the impact of barrier piles in blind sheet-pile bank connecting structure. Besides, we build a plane strain model by ABAQUS sot＇cware to study the impact of cross section type, the pile spacing and soil properties on soil arching effect. We find that cross section type of the pile has a certain influence on soil stress distribution in front of the barrier piles by comparing circular cross section and rectangular cross section. We also find that clear distance between the barrier piles and cohesive force of the soil have a great influence on that impact. We can increase clear distance between the barrier piles appropriately to improve the efficiency of construction and reduce the proiect cost.展开更多
In this study,a theoretical model was established for predicting the equilibrium shape of the droplet on flat and spherical surfaces.The theoretical equilibrium shape of heavy droplets could be obtained once contact a...In this study,a theoretical model was established for predicting the equilibrium shape of the droplet on flat and spherical surfaces.The theoretical equilibrium shape of heavy droplets could be obtained once contact angle and volume of droplets were given.It showed that the predictions of the theoretical flat model were in good agreement with the shape obtained by Surface Evolver when the contact angle is below 120 and the droplet size is on the order of capillary length.This available range will decrease and increase when the heavy droplet is on convex and concave spherical surface,respectively,in contrast to that on flat surface.The available range will decrease more for higher curvature of convex spherical surfaces.展开更多
Given any (2,4)-elliptic surface with nine smooth rational curves,eight (2)-curves and one (3)-curve,forming a Dynkin diagram of type [2,2][2,2][2,2][2,2,3],we show that a fake projective plane can be constructed from...Given any (2,4)-elliptic surface with nine smooth rational curves,eight (2)-curves and one (3)-curve,forming a Dynkin diagram of type [2,2][2,2][2,2][2,2,3],we show that a fake projective plane can be constructed from it by taking a degree 3 cover and then a degree 7 cover.We also determine the types of singular fibres of such a (2,4)-elliptic surface.展开更多
Gauss maps of oriented timelike 2-surfaces in are characterized, and it is shown that Gallss maps can determine surfaces locally as they do in case. Moreover, some essential differences are discovered between the prop...Gauss maps of oriented timelike 2-surfaces in are characterized, and it is shown that Gallss maps can determine surfaces locally as they do in case. Moreover, some essential differences are discovered between the properties of the Gauss maps of surfaces in Rn and those of the Gauss maps of timelike surfaces in. In particular, a counterexample shows that a nonminimal timelike surface in cannot be essentially determined by its Gauss map.展开更多
In this article,we study certain quadratic Diophantine equations in Picard lattices of blow-ups of the complex projective plane,and describe their relations with root systems and Weyl group orbits of quasiminuscule fu...In this article,we study certain quadratic Diophantine equations in Picard lattices of blow-ups of the complex projective plane,and describe their relations with root systems and Weyl group orbits of quasiminuscule fundamental weights.We apply these to study the geometry of certain rational surfaces.展开更多
文摘为分析光学平面面形偏差,以直径100mm光学平晶为检测对象,利用斐索干涉仪采集了被测光学平面的波面干涉图,按照美国材料与试验协会(American Society for Testing and Materials,ASTM)标准方法,通过分析,能够定性反映出被测光学平面的面形偏差。计算并分析了波面偏差指标峰谷值PV和均方根值RMS,将计算结果与利用ZYGO斐索干涉仪测得的数据对比,偏差为10-3λ,符合光学检测要求。综合考虑可操作性和计算精度,这种基于ASTM的方法是一种行之有效的光学检测分析方法。
基金Project(51171211) supported by the National Natural Science Foundation of ChinaProject(NCET-10-0837) supported by the Chinese Ministry of Education's Supportive Program for New Century Excellent Talents in UniversitiesProject(2006BAE03B03) supported by the Chinese National Science and Technology Supportive Program
文摘An important step for achieving the knowledge-based design freedom on nano-and interfacial materials is attained by elucidating the related surface and interface thermodynamics from the first principles so as to allow engineering the microstructures for desired properties through smartly designing fabrication processing parameters.This is demonstrated for SnO2 nano-particle surfaces and also a technologically important Ag-SnO2 interface fabricated by in-situ internal oxidation.Based on defect thermodynamics,we first modeled and calculated the equilibrium surface and interface structures,and as well corresponding properties,as a function of the ambient temperature and oxygen partial pressure.A series of first principles energetics calculations were then performed to construct the equilibrium surface and interface phase diagrams,to describe the environment dependence of the microstructures and properties of the surfaces and interfaces during fabrication and service conditions.The use and potential application of these phase diagrams as a process design tool were suggested and discussed.
文摘Currently, The current flat design has become a mainstream approach is widely used in web design, computer and mobile phone systems, interface design. In graphic design, graphic symbol design is increasingly being taken seriously and use minimalist design symbols often appear in print design plane, PPT presentations, public areas, identity-oriented system like. This paper discusses the design of graphical symbols flat in graphic design use need to make the audience cognitive ability, graphic symbols standardized principles, design principles angles for effective information design to achieve efficient information communication. Materialized mostly graphic image symbols, and mostly flat graphic indicator; flat screen symbol by the proposed development materialized symbol interface evolved. Materialized the graphical interface and the graphical interface is flat coexist and cannot replace each other. During the design, the designer should be based on the advantages and disadvantages of the two styles complement each other interfaces, common graphical interface design services.
文摘Combined with practical engineering, based on the introduction of soil arching theory, we explore the impact of barrier piles in blind sheet-pile bank connecting structure. Besides, we build a plane strain model by ABAQUS sot＇cware to study the impact of cross section type, the pile spacing and soil properties on soil arching effect. We find that cross section type of the pile has a certain influence on soil stress distribution in front of the barrier piles by comparing circular cross section and rectangular cross section. We also find that clear distance between the barrier piles and cohesive force of the soil have a great influence on that impact. We can increase clear distance between the barrier piles appropriately to improve the efficiency of construction and reduce the proiect cost.
基金supported by the National Natural Science Foundation of China (Grant No. 10902015)the Research Funds for the Doctoral Program of Higher Education of China (Grant No. 20091101120001)
文摘In this study,a theoretical model was established for predicting the equilibrium shape of the droplet on flat and spherical surfaces.The theoretical equilibrium shape of heavy droplets could be obtained once contact angle and volume of droplets were given.It showed that the predictions of the theoretical flat model were in good agreement with the shape obtained by Surface Evolver when the contact angle is below 120 and the droplet size is on the order of capillary length.This available range will decrease and increase when the heavy droplet is on convex and concave spherical surface,respectively,in contrast to that on flat surface.The available range will decrease more for higher curvature of convex spherical surfaces.
基金supported by the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology (Grant No. NRF-2007-2-C00002)
文摘Given any (2,4)-elliptic surface with nine smooth rational curves,eight (2)-curves and one (3)-curve,forming a Dynkin diagram of type [2,2][2,2][2,2][2,2,3],we show that a fake projective plane can be constructed from it by taking a degree 3 cover and then a degree 7 cover.We also determine the types of singular fibres of such a (2,4)-elliptic surface.
文摘Gauss maps of oriented timelike 2-surfaces in are characterized, and it is shown that Gallss maps can determine surfaces locally as they do in case. Moreover, some essential differences are discovered between the properties of the Gauss maps of surfaces in Rn and those of the Gauss maps of timelike surfaces in. In particular, a counterexample shows that a nonminimal timelike surface in cannot be essentially determined by its Gauss map.
基金supported by National Natural Science Foundation of China (Grant No.11126264)Doctoral Fund of Ministry of Education of China (Grant No. 20110181120091)
文摘In this article,we study certain quadratic Diophantine equations in Picard lattices of blow-ups of the complex projective plane,and describe their relations with root systems and Weyl group orbits of quasiminuscule fundamental weights.We apply these to study the geometry of certain rational surfaces.
