Conditional marginal expected shortfall

Extremes - In the context of bivariate random variables $\left (Y^{(1)},Y^{(2)}\right )$ , the marginal expected shortfall, defined as $\mathbb {E}\left (Y^{(1)}|Y^{(2)} \ge Q_{2}(1-p)\right )$ for...     

Solvability and Stability for Singular Fractional (p,q)-difference Equation

In this paper, we initiate the solvability and stability for a class of singular fractional $(p,q)$-difference equations. First, we obtain an existence theorem of solution for the fractional $(p,q)$-difference equation. Then, by using a fractional $(p,q)$-Gronwall inequality, some stability criteria of solution are established, which also implies the uniqueness of solution.     

An order-by-disorder process in the cyclic phase of spin-2 condensate with a weak magnetic field

We present in this paper a model study on the “order-by-disorder” process in the cyclic phase of spin-2 condensate, which forms a family of incommensurable, spiral degenerate ground states. On the basis of the ordering mechanism of entropic splitting, it is demonstrated that the energy corrections resulting from quantum fluctuations of disorder lift the accidental degeneracy of the cyclic configurations and thus lead to an eventual spiral order called the cyclic order. The order-by-disorder phenomenon is then realized even if the magnetic field exists. Finally, we show that our theoretic observations can be verified experimentally by direct detection of the cyclic order in the ⁸⁷Rb condensate of a spin-2 manifold with a weak magnetic field.     

楔形盒染料掺杂胆甾相液晶激光器研究

设计制作了楔形盒掺杂激光染料PM580的胆甾相液晶器件, 研究了激光辐射行为. 在楔形液晶盒中出现了一系列与楔棱平行的向错线和不同规则形状的晶畴, 胆甾相液晶形成了平面态排列. 采用固体Nd:YAG倍频532 nm 波长激光作为抽运光, 获得调谐精度约1 nm, 调谐范围约17 nm的一维波长可调谐激光器. 楔形盒中, 液晶扭曲力与取向膜表面锚定力相互平衡的过程中胆甾相液晶螺距伸张, 光子禁带位置移动, 从而调谐光子禁带边沿出射激光波长. 关键词： 胆甾相液晶 楔形盒 激光辐射     

基于流动性风险的开放式基金投资组合分析

不同于通常的投资组合方法,本文在开放式基金的投资组合中加进流动性风险,得出最佳流动性短缺概率和在流动性不同的有价证券上的最佳投资量.     

An Ab Initio Study of N_2O Decomposition on MgO Catalyst

Nl0isalwaysusedasoxidantinalotofoxidativecatalyticprocesses,suchastheoxidativecouplingofmethane(0CM),oxidativedehydr0genationofalkanesands0on,becauseitdecomPosestoprovideOadspeciesonmetal0xidecatalystsandleadstothespecificoxidativeselectivity.Forexample,itwasf0undthatf0rOCMreacti0nonMgOandLougOcatalystS,thereactiontemPeraturerequiredislowerwhenoneusesN20asoxidantthanusing0,'.TheunderstandingofN20dec0mposihon0nmetal0xidecatalystsandthepropertiesofthereIevant0adspeciesshouldbeagoodstarting…     

On the Product and Factorization of Lattice Implication Algebras

In this paper,the concepts of product and factorization of lattice implication algebra areproposed,the relation between lattice implication product algebra and its factors and some properties oflattice implication product algebras are discussed.     

钠蒸气中的双光子共振三光子电离和双光子混合共振三光子电离

在钠原子－分子混合样品中，分别运用双光子共振三光子电离以及双光子混合共振三光子电离，测得了钠原子４Ｄ态的电离流时间衰减曲线。由电离流与多光子动力学参数的关系，得到了４Ｄ态的光电离截面。     

The research in image distinction for isodyne patterns

A new birefringent phase shift method applied in isodyne fringe pattern distinction is developed. The phase map obtained by the new method corresponds to the isodyne surface in whole fields. The theory and technique of the new method is described and a bimaterial beam under three-point bending is studied as an example.