Tsallis holographic dark energy under complex form of quintessence model

In this paper,we use a Tsallis holographic dark energy model in two forms,interacting and noninteracting cases,to acquire some parameters as the equation of state for the energy density of the Tsallis model in the FRW Universe concerning the complex form of quintessence model.We will study the cosmology of complex quintessence by revamping the potential and investigating the scalar field dynamics.Then we analyze(w-w’)and stability in two cases,i.e.noninteracting and interacting.We will explore whether these cases describe a real Universe by calculating fractional energy densityΩ_(D)and concerning two parts of the quintessence field effect(complex and real part)by considering the real part of this field to be a slow-roll field.We know that the part in which the fractional energy density(Ω_(D)>1)does not describe a real Universe.Also,we specified an interacting coupling parameter b2that depends on the constant parameter of the Tsallis holographic model(δ)with respect to fractional energy density(0.73).Unlike independence between the fractional energy density and interacting coupling in the real quintessence model,we determine a relationship among these parameters in this theory.Finally,by plotting some figures,we specify the features of(w-w’)and(ν^(2)_(s))in two cases and compare the result with each other.

SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN'S INEQUALITY

A submanifold in a complex space form is called slant if it has constant Wirtinger angles. B. Y. Chen and Y. Tazawa proved that there do not exist minimal proper slant surfaces in CP2 and CH2. So it seems that the slant immersion has some interesting properties. The authors have great interest to consider slant immersions satisfying some additional conditions, such as unfull first normal bundles or Chen’s equality holding. They prove that there do not exist n-dimensional Kaehlerian slant immersions in CPn and CHn with unfull first normal bundles. Next, it is seen that every Kaehlerian slant submanifold satisfying an equality of Chen is minimal which is similar to that of Lagrangian immersions. But in contrast, it is shown that a large class of slant immersions do not exist thoroughly. Finally, they give an application of Chen’s inequality to general slant immersions in a complex projective space, which generalizes a result of Chen.

Simulating Some Complex Phenomena in Hydrothermal Ore-Forming Processes by Reaction-Diffusion CNN

Complexity phenomena like dynamic and static patterns, order from disorder, chaos and catastrophe were simulated by the application of 2-D reaction-diffusion CNN of two state variables and two diffusion coefficients transformed from Zhabotinksii model. They revealed somehow the mechanism of hydrothermal ore-forming processes, and answered several questions about the onset of ore forming.

KOPPELMAN-LERAY FORMULA ON COMPLEX MANIFOLDS

The Koppelman-Leray formula on complex manifolds is obtained, and under suitable condition the continuous solution of partial derivative-equation on complex manifolds is obtained.

RIGIDITY THEOREMS OF COMPLETE K?HLER-EINSTEIN MANIFOLDS AND COMPLEX SPACE FORMS

We concentrate on using the traceless Ricci tensor and the Bochner curvature tensor to study the rigidity problems for complete K?hler manifolds. We derive some elliptic differential inequalities from Weitzenb?ck formulas for the traceless Ricci tensor of K?hler manifolds with constant scalar curvature and the Bochner tensor of K?hler-Einstein manifolds respectively. Using elliptic estimates and maximum principle, several L^p and L~∞ pinching results are established to characterize K?hler-Einstein manifolds among K?hler manifolds with constant scalar curvature and complex space forms among K?hler-Einstein manifolds.Our results can be regarded as a complex analogues to the rigidity results for Riemannian manifolds. Moreover, our main results especially establish the rigidity theorems for complete noncompact K?hler manifolds and noncompact K?hler-Einstein manifolds under some pointwise pinching conditions or global integral pinching conditions. To the best of our knowledge,these kinds of results have not been reported.

Commuting Structure Jacobi Operator for Real Hypersurfaces in Complex Space Forms

Let M be a real hypersurface of a complex space form with almost contact metric structure (φ,ξ,η,g). In this paper, we prove that if the structure Jacobi operator Rξ=(·,ξ) ξ is φ▽ξξ-parallel and Rξ commute with the shape operator, then M is a Hopf hypersurface. Further, if Rξ is φ▽ξξ-parallel and Rξ commute with the Ricci tensor, then M is also a Hopf hypersurface provided that TrRξ is constant.

FEM simulation and experimental verification of roll forming and springback process under complex contact conditions

The application of advanced high strength steel(AHSS) has an important significance in the development of the lightweight of automobile,but the parts made of AHSS usually have defects,such as fracture and large amount of springback,etc.In this paper,a model of multi-pass roll forming and springback process of AHSS is established with finite element software ABAQUS.Then a roll forming experiment is performed,and simulation and experimental results have been compared and analyzed.The model is established under complex contact conditions,including self-contact condition.The results shows that during the process of sheet bending,large Mises stresses appear at bending corners.The smaller the bending radius is,the larger the Mises stress and strain are.Thickness of sheet metal changes differendy if the bending radius is different.When the bending radius exceeds a certain limit,the change tendency of the sheet thickness turns from increase to decrease.

COMPLEX INNER PRODUCT AVERAGING METHOD FOR CALCULATING NORMAL FORM OF ODE

This paper puts forward a complex inner product averaging method for calculating normal form of ODE. Compared with conventional averaging method, the theoretic analytical process has such simple forms as to realize computer program easily. Results can be applied in both autonomous and non-autonomous systems. At last, an example is resolved to verify the method.

ON THE DECOMPOSITION OF COMPLEX VECTOR SPACES AND THE JORDAN CANONICAL FORM OF COMPLEX LINEAR TRANSFORMATIONS

New objects characterizing the structure of complex linear transformations areintroduced. These new objects yield a new result for the decomposition of complexvector spaces relative to complex lrnear transformations and provide all Jordan basesby which the Jordan canonical form is constructed. Accordingly, they can result in thecelebrated Jordan theorem and the third decomposition theorem of space directly. and,moreover, they can give a new deep insight into the exquisite and subtle structure ofthe Jordan form. The latter indicates that the Jordan canonical form of a complexlinear transformation is an invariant structure associated with double arbitrary. choices.

Residues of Logarithmic Differential Forms in Complex Analysis and Geometry

In the article, we discuss basic concepts of the residue theory of logarithmic and multi-logarithmic differential forms, and describe some aspects of the theory, de-veloped by the author in the past few years. In particular, we introduce the notion of logarithmic differential forms with the use of the classical de Rham lemma and give an explicit description of regular meromorphic differential forms in terms of residues of logarithmic or multi-logarithmic differential forms with respect to hypersurfaces, com-plete intersections or pure-dimensional Cohen-Macaulay spaces. Among other things, several useful applications are considered, which are related with the theory of holo-nomic D-modules, the theory of Hodge structures, the theory of residual currents and others.

连山关地区铀矿地质钻探技术优化

由于连山关地区存在着地层复杂、岩石胶结松散、水敏性强等诸多不利因素,钻探施工中存在钻孔漏失、掉块卡钻以及坍塌埋钻等问题,导致钻孔报废,降低了铀矿地质钻探施工的经济效益。为了解决以上问题,以ZK93-1孔钻为对象,针对铀矿地质地层特性以及常用设备、泥浆等存在的不利因素,对钻孔设备进行优化,选用CSD-1800A型全液压动力头钻机、HQ绳索取心钻具,并配备镦粗钻杆的NQ绳索取心钻具,提高了钻进效率及安全性,也降低了劳动强度;选用成膜防塌无固相冲洗液,有效降低钻孔偏斜,保证了岩矿心采取率,降低了施工成本,为类似地质条件地区的钻探工作提供参考依据。

RESEARCH ON HOT FORMING PROCESS OF A RETAINING RING OF HIGH-NITROGEN STEEL

Mn18Cr18N, the high-nitrogen steel, is the 2nd generation material for manufacturing the retaining ring of firepower generators. In this paper, the hot deformation behavior of the material was investigated by thermo-mechanical modeling tests. And the flow stress curves of the steel were obtained for various combinations of the temperature and strain rate. Based on the results of the tests, the complex forming process of a retaining ring including punching, expanding and extrusion with an enclosure was put forward and simulated by means of numerical simulation method. The results indicate that the process is a novel and force-saved practical technology for manufacturing heavy retaining rings.

南秦岭镇安西部钨钼矿集区成矿物质来源研究

为了查明南秦岭镇安西部大型钨钼多金属矿集区成矿物质来源,在矿床基础地质研究的基础上,运用岩石地球化学、硫化物单矿物硫同位素地球化学和锆石U-Pb同位素、辉钼矿Re-Os同位素地球化学等方法,对复式中酸性侵入体与钨钼成矿的时空关系和成因联系进行深入研究。结果表明:懒板凳岩体田湾单元、王家坪隐伏岩体和花岗细晶岩脉富集Si元素,且Mg#值和稀土总量较低,稀土元素配分曲线呈明显的四分组效应并具有强负Eu异常,岩浆分异结晶程度高;懒板凳岩体九间屋单元和王家坪隐伏岩体锆石U-Pb同位素年龄分别为(222.7±2.6)Ma和(201.6±4.7)Ma,棋盘沟钨矿床和江口钼矿床中辉钼矿Re-Os同位素模式年龄分别为(199.7±3.9)Ma和(198.7±3.9)Ma;钨钼矿床中硫化物单矿物δ34S值为3.6‰~10.2‰,推测成矿物质来源于复式岩体晚阶段形成于190~200Ma之间的高分异演化酸性侵入体。

冀北招兵沟铁磷矿床成矿时代及成因研究

为探讨冀北—辽西地区太古宙变质岩系中铁磷矿床的成因问题,本研究选取招兵沟矿床开展了岩相学、年代学和地球化学研究。野外观察表明,前人描述的条带状铁磷矿石实际上大多为含铁磷矿脉的黑云角闪斜长片麻岩,可见铁磷矿脉切穿片麻理。含铁磷黑云角闪斜长片麻岩中的锆石与矿石矿物铁钛氧化物和磷灰石密切共生。阴极发光图像上显示基性岩浆锆石特征,无/弱环带或斑块状结构,LA-ICP-MS U-Pb定年获得^(206)Pb/^(238)U加权平均年龄为(282±3)Ma(MSWD=0.78),指示铁磷矿化时代为早二叠世,而非传统认为的新太古代。招兵沟含铁磷黑云角闪斜长片麻岩与区域辉石-角闪石岩侵入体形成时代接近,微量元素地球化学特征相似度高,说明成矿母岩为辉石-角闪石岩。招兵沟铁磷成矿与冀北地区沿红石砬—大庙断裂带发育的显生宙阿拉斯加型镁铁-超镁铁质岩浆活动密切相关。综合来看,招兵沟铁磷矿床可能是与基性岩浆活动有关的矿床,而非传统认为的变质型矿床,其他相似矿床的成因也需要进一步研究。

日语因果复句中的不定形分析

该研究目的在于探讨不定形概念在解释日语因果复句中特殊时间关系时的有效性,即是否可以应用到特殊时间关系的分析之中。“不定形(non-finites)”是印欧语中的一个概念,指的是不带有时态等曲折变化的动词形态,仅把动词所表达的动作作为一个概念提出,是一个超越了动词时体体系的概念。日语中虽不存在严格意义上不定形的概念,但是复句中从句的特殊ル形如果用不定形来解释,将可获得有效解释。该研究通过对不定形概念用于解释复合句中时体特殊现象的有效性进行探讨,考察英语动词概念是否适用于日语,如果适用,具有哪些特征和条件,最后确认在从句中不定形形式和功能的实际情况。经过分析得知,在解释因果复句中特殊时间关系时不定法的概念比不定形的概念更加合理和有效。

Study on precision cutting technology of complex shape microparts

Relatively to non-traditional and high-energy-beam micro-manufacturing technique, the micro-cutting technology has many merits. For instance, the machining range is bigger, the cost of equipments is much lower, and the productivity and machining accuracy are higher. Therefore, the micro-cutting technology will take an important effect on the machining technique of complex shape microparts. In this paper, based on selfly-developed machine tool, the precision cutting technology of complex shape microparts made of metal material was studied by analyzing the modeling method on complex shape, the means of toolpaths layout and the optimal selection for cutting parameters. On the basis of above work, a typical duralumin specimen of high precision, low surface roughness and complex shape micropart was manufactured. This result will provide favorable technical support for farther research on the micro-cutting technology.

AN ALGORITHM FOR JORDAN CANONICAL FORM OF A QUATERNION MATRIX

In this paper, we first introduce a concept of companion vector, and studythe Jordan canonical forms of quaternion matrices by using the methods of complex representation and companion vector, not only give out a practical algorithm for Jordancanonical form J of a quaternion matrix A, but also provide a practical algorithm forcorresponding nonsingular matrix P with P- 1 AP = J.

Complexation of Si in Hydrothermal Systems

The Au\|SiO\-2 and Sn\|SiO\-2 complexes have been experimentally calibrated at varying temperature, silica concentration and pH: Au\+++H\-3SiO\+-\-4AuH\-3SiO\-4lgK=-1.65436+9611.21/T Sn\+\{4+\}+4H\-3SiO\+-\-4Sn(H\-3SiO\-4)\-4lgK\-\{200℃\}=42.73Compared with Au\|Cl, Au\|HS and Sn\|OH complexes, AuH\-3SiO\-4 and Sn(H\-3SiO\-4)\-4 complexes can be recognized as the dominant transport forms in Si\|bearing solutions under pH and Eh conditions of general interest. The decrease of SiO\-2 concentration and oxygen fugacity would reverse the direction of dissolution\|complexing reactions, resulting in the precipitation of gold and silica, as well as cassiterite and silica. This study illustrates the significance of SiO\-2\|complexation in hydrothermal solutions for gold, tin and other metallizations.

Complex Spacetime Frame: Four-Vector Identities and Tensors

This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector identities take exactly the same forms of the standard vector identities established in the familiar three-dimensional space, thereby confirming the consistency of the definition of the complex four-vectors and their mathematical operations in the general complex spacetime frame. Contravariant and covariant forms have been defined, providing appropriate definitions of complex tensors, which point to the possibility of reformulating differential geometry within a spacetime frame.

Dehydrogenation characteristics of LiAlH4 improved by in-situ formed catalysts

The hydrogen storage properties and catalytic mechanism of FeCl-doped LiAlHwere investigated in minute details. LiAlH-2 mol% FeClsamples start to release hydrogen at 76 °C, which is 64 °C lower than that of as-received LiAlH. Isothermal desorption measurements show that the 2 mol% FeCl-doped sample releases 7.0 wt% of hydrogen within 17 min at 250 °C. At lower temperatures of 110 °C and 80 °C, the sample can release 4.4 wt% and 3 wt% of hydrogen, respectively. The apparent activation energy of LiAlH-2 mol% FeClsamples for R2 is 105.02 k J/mol, which is 67 k J/mol lower than that of pure LiAlH. The reaction between LiAlHand FeClduring ball milling was found by analyzing the X-ray diffraction results,and Fe-Al particles formed in-situ from the reaction act as the real catalyst for the dehydrogenation of LiAlH.