Monotonic Property in Field Algebra of G—Spin Model

Let F be the field algebra of G-spin model,D(G)the double algebra of a finite group G and D(H)the sub-Hopf algerba of D(G)determined by the subgroup H of G.The paper builds a correspondence between D(H)and the D(H)-invariant sub-C*-algebra AH in F,and proves that the correspondence is strictly monotonic.     

Optimal Orientations of the Generalized Cycles

Optimal orientations of the generalized cycles are studied. For a graph G, let D（G） be the family of the strong orientations of G,d（G）=min {d（D） D∈D（G） and ρ（G）=d（G）-d（G）, whered（G） and d （D） are the diameters of G and D respectively. Evaluate the value of ρ（G） is evaluated by reduction to absurdity when G is a generalized cycle Cn [Km], and a complete result is obtained.     

关于C*-代数迹拓扑秩的一个推广

给出了具有TR（S）性质C^＊-代数类的概念,作出了一个关于迹拓扑秩的推广,得到定理2,即A是有单位元的单的C^＊-代数,若A具有TR（S1）性质,则tsr（A）=1.     

Treatment of Wastewater Containing Heavy Metals Using Dissolved Air Released Flotation Column

A new type of dissolved air released flotation column is developed to treat wastewater containing Cr（Ⅵ） based on advantages of both dissolved air floatation and column floatation. By using a column with a diameter of 50 mm and a specially made dissolved air releaser, micro-bubbles inside the column can be formed. N2H4H2O was used as reductant, AlCl3 as flocculant, C12H25SO3Na（SDS） as surfactant in the experiment. The effects of pH of wastewater, pressure of dissolved air, ratio of return water, and concentration of flocculant and surfactant on the removal efficiency are studied. The results show that the efficiency of dissolved air released flotation column is much higher than that of other approaches after the operation parameters are optimized, with the reduction ratio of Cr（Ⅵ ） in wastewater reaching 98%. So this technique can be widely used in wastewater treatment     

Application of 3D Visual Techniques in Daliuta Coal Mine

3D visualization is one of major problems in ＂Digital Mine＂ theory and its technological research field. Through the observation of 3D geological models, spatial structural information, connected with the information of production management hidden in geological data, could be detected. In order to meet the requirement of more efficient coal exploration, a case study of geological characters of the Daliuta Coal Mine is presented in which 3D visual models of the ground surface and geologic bodies are established on the basis of data models and data structures of 3D geology modeling. The main conclusions of this study are as follows： （1） Through analysis and organization of spatial discrete data, the drillhole database is designed with the data of the Daliuta mine; the connections amomg drillhole data are realized and displayed in a 3D environment. （2） Combining real data of the Daliuta mine, drillhole visualization is realized in a 3D environment by using the CoalMiner system. （3） The ground surface modeling of the Daliuta coal mine adopted a surface-data model and a TIN data structure. （4） 3D models of coal seams and rock formations of the Daliuta mine are established, which provide a method for the simulation of complex surfaces of geologic bodies. In the end, the models are applied to the Daliuta coal mine and the result shows that better geological effects are obtained.     

Effect of RE on the ignition-proof, microstructure and properties of AZ91D magnesium alloy

The magnesium alloy is prone to burn during die-casting, which limits its applications severely, so the effect of adding rare earth （RE） on the ignition-proof of AZ91D Mg alloy is studied. The results indicate that the addition of mischmetal RE elements has a remarkable influence on the ignition-proof property of the magnesium alloy. It is found that the ignition temperature of the magnesium alloy can be greatly raised by adding a proper amount of RE. When the amount is 0.1wt%, the ignition temperature reaches 877℃ which is 206℃ higher than that of AZ91D without RE and the mechanical properties of the alloy are also improved, However, the amount of RE must be properly controlled because too much RE would induce grain coarsening and reduce the mechanical properties.     

Main Factors for Affecting Photonic Bandgap of Photonic Crystals

The factors affecting one dimensional （1D） and two dimensional （2D） photonic crystals （PhCs） are systemically analyzed in this paper by numerical simulation. Transfer matrix method （TMM） is employed for 1D PCs, both finite difference time domain method （FDTD） and plane wave expansion method （PWE） are employed for 2D PCs. The result shows that the photonic bandgaps （PBG） are directly affected by crystal type, crystal lattice constant, modulation of refractive index and periodicity, and it is should be useful for design of different type photonic crystals with the required PBG and functional devices. Finally, as an example, a near-IR 1D PCs narrow filter was designed.     

Bi-prism-based single-lens three dimensional digital image correlation system with a long working distance: Methodology and application in extreme high temperature deformation test

As a novel three dimensional digital image correlation(3 D DIC) method, the bi-prism-based single lens(BSL) 3 D DIC method has been proposed and developed in recent years. Making use of a bi-prism, this method is able to perform a 3 D DIC measurement using only a single camera. Thus, the integration level of a BSL 3 D DIC system could be much higher than that of the double-camera3 D DIC system. In this paper, using a small-angle bi-prism and a camera with a longer focal length, a special BSL 3 D DIC system with a long working distance is designed for measurements in extreme environments. The principle of the system is first studied,and practical methods are then proposed for the system set-up and the determination of system parameters. Then, feasibility of the measurement system is verified by out-of-plane rigid-body translation tests. Finally, the BSL 3 D DIC system is proven to be capable of combining with a high-temperature testing instrument to perform deformation tests in a high-temperature environment of up to 1500°C.     

ω-超广义函数D’＊和E’＊的正则化

讨论了ω-超可微函数D＊（R^N）和E＊（R^N）的正则化及超广义函数D’＊（R^N）和E’＊（R^N）的正则化问题,并给出了这些空间的一些相应的结果。     

Kinetics study of leaching arsenic from Ni-Mo ore roasting in dust mixture of hydrochloric and sulfuric acids

The kinetics of leaching arsenic from Ni-Mo ore roasting dust was investigated. The effects including leaching temperature, particle size of the smelter dust, stirring speed, the coefficient β（the molar ratio of sodium chlorate to arsenic in the smelter dust） and the initial H＋ concentration on leaching arsenic were studied. The results indicate that the leaching of arsenic increases sharply with the decrease of particle size. The orders of reaction with respect to H＋ concentration and particle size are determinted to be 1.136 and 1.806, respectively. The leaching of arsenic reaches 99% under experimental conditions, the apparent activation energy is determined to be 11.157 kJ/mol, which is consistent with the values of activation energy for diffusion model The kinetics equation of leaching arsenic from the roasting dust could be expressed by a semi-empirical equation as 1-2/3η （1 -η）^2/3 = k0（c[H＋]）^1.136ro^-1.806 exp[（-11157 /RT）t].     

Gelfand-Naimark Theorem of Commutative Hopf C^＊ -Algebras

LetGbeacompactgroupwithaunitee,and C(G)thespaceofallcomplexcontinuousfunctions onG.C(G)isaC algebrawithproductdefined by(fg)(t)=f(t)g(t)andthestandardinvolution definedbyf(t)=f(t)(f,g∈C(G),t∈G).Underthestructuremaps(Δf)(s,t)=f(st),ε(f)=f(e)and(Sf)(t)=f(t-1),C(G)be comesaHopfalgebra.IfGisalocallycompact group,letC0(G)bethespaceofcomplexcontinuous functionsonGtendingto0atinfinity,C0(G)isal soaC algebra.HoweverC0(G)hasnounit,this leadstotheconceptofamultiplierHopfalgebra[1].Aswehave…     

Hilbert C*-模的内射包络

采用同调理论的观点探讨了C 代数上HilbertC 模作为对象和有界模算子作为态射构成的范畴 .研究C 代数上HilbertC 模扩张的内射性和内射包络 ,通过内射性和本性给出内射包络的特征描述 .证明了如果一个C 代数的HilbertC 模的内射包络存在 ,则在H等距意义下是唯一的 .其次给出了HilbertC 模的扩张是内射包络 ,当且仅当此扩张是内射的和本性的 .进一步得到在H等距意义下W 代数上的任何HilbertC 模都有唯一的一个内射包络而且HilbertC 模的内射包络是它的一个极大本性扩张     

C~*代数中的上代数结构(Ⅰ)

30年代由VonNeumann建立的算子代数,经40年代Gelfand等人对抽象C一代数结构的研究,以及60～70年代的VonNeumann代数的因子构造的研究,已经发展得很丰满,并且广泛应用到量子力学的研究中去。线性代数理论方面的另一条线是40年代对Hopf代数的研究,发展成代数—上代数—双代数—Hopf代数的纯代数结构的探索。本文试图寻找两个方向的结合部,即寻找C—代数的上结构和上代数的拓扑结构。本文给出了形式上乘映射,半同态和C双代数的结构,并且证明了任何C—代数都可赋予上结构成为C—双代数。     

C*-代数交换性的算子凸函数特征

考虑了C^*一代数A交换性的凸函数特征．构造了在C^*一代数A上是凸函数，但是在M2上却不是算子凸的函数，并由算子凸函数的性质证明了非线性型的Strinespring定理，即C^*一代数A是可交换的的充要条件是存在一个非二阶矩阵凸函数是A上的算子凸函数．     

矩阵代数的态空间

应用C*-代数的纯态与极大正则左理想的一一对应关系,从解决矩阵代数的极大正则左理想的构造出发,构造出了矩阵代数的纯态,从而解决了矩阵代数的态空间的构造。最后运用C*-代数的对偶空间与态空间的结构关系,解决了矩阵代数-这个非交换Banach代数的对偶空间的构造。     

厄米特B~*-代数中广义的稳定扰动

设A为厄米特B*-代数,a,-a=a+δa∈A,且a有广义逆a+,以及‖a+‖‖δa‖<1。本文在稳定扰动条件-aA∩(1-aa+)A={0}下得到-a+=(1-p-p*)-1(1+a+δa)-1×a+(q*+q-1)-1,并且还给出了‖-a+‖,‖-a+-a+‖‖a+‖的上界,这里p=(1+a+δa)-1(1-a+a),q=(1+δaa+)aa+(1+δaa+)-1。     

基于可搜索24邻域的A*算法路径规划

针对A^*算法在移动机器人路径规划时求解得到的路径长度不是最优并且转折点较多的问题,提出了可搜索24邻域的A^*算法路径规划.该方法在传统A^*算法的基础上进一步改进其启发搜索策略,将传统A^*算法的可搜索邻域个数从离散的8个扩展到24个,进而增加更多的搜索方向.结果表明,改进的A^*算法实现了路径长度更短的目的,同时降低了转折点数,且移动机器人的运行路径也更加平滑.本文方法具有较强的实际意义和应用背景,通过实际运行过程验证了其设计方法具有一定的有效性.     

矩阵方程 (A*XA， B *XB ) =(C， D)有Hermite部分是 半正定的解与Hermite半正定解的条件

研究了复矩阵方程(A*XA,B*XB)=(C,D)有Hermite部分是半正定的解与Hermite半正定解的可解性条件。利用广义奇异值分解,导出了矩阵方程(A*XA,B*XB)=(C,D)有Hermite部分是半正定的解、Hermite半正定的解的充分必要条件,同时给出了解的通式。