Graded Lie Algebra Generating of Parastatistical Algebraic Relations

A new kind of graded Lie algebra (We call it Z2,2 graded Lie algebra) is introduced as a framework for formulating parasupersymmetric theories. By choosing suitable Bose subspace of the Z2,2 graded Lie algebra and using relevant generalized Jacobi identities, we generate the whole algebraic structure of parastatistics.     

The Study of Full Light Speech Signal Collection System

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非保守力下温度场中FGM圆板的非线性力学行为

研究了温度场中非保守功能梯度材料(FGM)圆板的非线性力学行为。基于经典板理论,推导了受非保守力作用的FGM圆板在温度场中的控制微分方程。采用打靶法分析了由陶瓷二氧化锆和金属钛合金两相材料组成的非保守FGM圆板在均匀和非均匀升温场中的非线性力学行为。给出了不同均匀升温和非均匀升温场下,FGM圆板在非保守载荷作用下的平衡路径和平衡构形。分析并讨论了均匀和非均匀升温、材料梯度指数对非保守圆板过屈曲和弯曲行为的影响。结果表明:温度场中,非保守FGM圆板发生弯曲而纯陶瓷圆板会发生过屈曲行为;当梯度指数p=2,非保守载荷q=52时,均匀升温场中非保守圆板的变形大于非均匀升温场中非保守圆板的变形。     

多孔功能梯度材料Timoshenko梁的自由振动分析

基于Timoshenko梁理论研究多孔功能梯度材料梁(FGMs)的自由振动问题.首先,考虑多孔功能梯度材料梁的孔隙率模型,建立了两种类型的孔隙分布.其次,基于Timoshenko梁变形理论,给出位移场方程、几何方程和本构方程,利用Hamilton原理推导多孔功能梯度材料梁的自由振动控制微分方程,并进行无量纲化,然后应用微分变换法(DTM)对无量纲控制微分方程及其边界条件进行变换,得到含有固有频率的等价代数特征方程.最后,计算了固定-固定(C-C)、固定-简支(C-S)和简支-简支(S-S)三种不同边界下多孔功能梯度材料梁自由振动的无量纲固有频率.将其退化为均匀材料与已有文献数据结果对照,验证了正确性.讨论了孔隙率、细长比和梯度指数对多孔功能梯度材料梁无量纲固有频率的影响.     

Seshadri constants and Okounkov bodies revisited

In recent years, the interaction between the local positivity of divisors and Okounkov bodies has attracted considerable attention, and there have been attempts to find a satisfactory theory of positivity of divisors in terms of convex geometry of Okounkov bodies. Many interesting results in this direction have been established by Choi–Hyun–Park–Won [4] and Küronya–Lozovanu [17], [18], [19] separately. The first aim of this paper is to give uniform proofs of these results. Our approach provides not only a simple new outlook on the theory but also proofs for positive characteristic in the most important cases. Furthermore, we extend the theorems on Seshadri constants to graded linear series setting. Finally, we introduce the integrated volume function to investigate the relation between Seshadri constants and filtered Okounkov bodies introduced by Boucksom–Chen [3].     

Modules of the Intermediate Series over Not-finitely Graded Lie Algebras W(Γ)

Let W(Γ)be a class of not-finitely graded Lie algebras related to gener-alized Virasoro algebras with basis{Lα,i,C | α ∈ Γ,i ∈ Z+},which satisfies relations[Lα,i,Lβ,j]=(β-α)Lα+β,i+j+(j-i)Lα+β,i+j+1+δα+β,0δi+j,0α3-α/12C and[C,Lα,i]=0.In this paper,W(Γ)-modules of the intermediate series satisfying some conditions are con-structed and classified.We also obtain modules of the intermediate series over the related Lie superalgebra.     

基于FT-ICR质谱仪的光解离光谱自动化谱图采集程序的开发与应用

光解离光谱在气相离子结构及动力学研究中发挥着重要的作用。这种方法非常灵活,可在实验室中利用不同种类的激光器及质谱仪的结合来开展相应的研究。但也存在一些问题,例如,自动化水平低,费时,长时间的操作容易引入人为错误,使实验结果的可信度降低。为解决此类问题,该工作开发了一套可用于光谱自动采集和分析的程序AutoMS。该程序包含：(1)AutoSpecMS用于在无需改变原仪器配套的商业化操作软件的前提下,实现多台商业激光器及一台商业高分辨FT-ICR质谱仪的集成,只需要预设参数即可自动获取action光谱;(2)AutoDataMS用于实验数据的分析,可以通过一维、二维或三维图示的方法来展示光解离质谱和光谱等。为验证改程序的可行性,针对tetraphenylpyrrin(四苯基卟啉,TPP),tetra(4-carboxypyryl)porphyrin(四对羧基苯基卟啉,TCPP)以及tetra(4-aminophenyl)porphyrin(四对氨基苯基卟啉,TCPP)三种卟啉衍生物分别开展了相应的实验。使用光解离光谱自动采集程序采集了TPP, TCPP和TAPP在210~700 nm波段的紫外-可见光解离光谱。同时获得了相关光解离碎片离子的单通道光谱,有利于用户对所研究体系的解离机理及解离动力学等方面开展深入的分析探讨。光解离质谱可观察到目标离子在特定波长激光照射下的具体解离碎片,与光解离光谱相结合,可以更好地帮助研究者理解离子在特定波段内的光解离行为。使用AutoDataMS可分别获得样品的2D及3D光解离质谱-光谱,增强了结果的可视化,使研究者更方便地获得光谱中的相关信息。对数据进行进一步分析可看出,不同的取代基对紫外可见光谱的吸收产生了差异明显的影响。此外通过AutoDataMS程序的功能扩展,还实现了对质子化TPP在500～650 nm波段内各离子的相关度分析,加深了对实验数据的理解。由此可见该方法及程序具有较好的扩展性和实用性,并可以为其他相关的工作提供很好的参考。     

CONSTRUCTING POINTED WEAK HOPF ALGEBRAS BY ORE-EXTENSION

The main work of this article is to give a nontrivial method to construct pointed semilattice graded weak Hopf algebra At =n i =0Aαi tfrom a Clifford monoid S = [Y; Gα, φα,β ]by Ore-extensions, and to obtain a co-Frobenius semilattice graded weak Hopf algebra H(S, n, c, χ, a, b) through factoring At by a semilattice graded weak Hopf ideal.     

Effective location models for sorting recyclables in public management

The recycling of urban solid wastes is a critical point for the “closing supply chains” of many products, mainly when their value cannot be completely recovered after use. In addition to environmental aspects, the process of recycling involves technical, economic, social and political challenges for public management. For most of the urban solid waste, the management of the end-of-life depends on selective collection to start the recycling process. For this reason, an efficient selective collection has become a mainstream tool in the Brazilian National Solid Waste Policy. In this paper, we study effective models that might support the location planning of sorting centers in a medium-sized Brazilian city that has been discussing waste management policies over the past few years. The main goal of this work is to provide an optimal location planning design for recycling urban solid wastes that fall within the financial budget agreed between the municipal government and the National Bank for Economic and Social Development. Moreover, facility planning involves deciding on the best sites for locating sorting centers along the four-year period as well as finding ways to meet the demand for collecting recyclable materials, given that economic factors, consumer behavior and environmental awareness are inherently uncertain future outcomes. To deal with these issues, we propose a deterministic version of the classical capacity facility location problem, and both a two-stage recourse formulation and risk-averse models to reduce the variability of the second-stage costs. Numerical results suggest that it is possible to improve the current selective collection, as well as hedge against data uncertainty by using stochastic and risk-averse optimization models.     

Single‐crystal diffraction at the Extreme Conditions beamline P02.2: procedure for collecting and analyzing high‐pressure single‐crystal data

Fast detectors employed at third‐generation synchrotrons have reduced collection times significantly and require the optimization of commercial as well as customized software packages for data reduction and analysis. In this paper a procedure to collect, process and analyze single‐crystal data sets collected at high pressure at the Extreme Conditions beamline (P02.2) at PETRA III, DESY, is presented. A new data image format called `Esperanto' is introduced that is supported by the commercial software package CrysAlis^Pro (Agilent Technologies UK Ltd). The new format acts as a vehicle to transform the most common area‐detector data formats via a translator software. Such a conversion tool has been developed and converts tiff data collected on a Perkin Elmer detector, as well as data collected on a MAR345/555, to be imported into the CrysAlis^Pro software. In order to demonstrate the validity of the new approach, a complete structure refinement of boron‐mullite (Al₅BO₉) collected at a pressure of 19.4 (2) GPa is presented. Details pertaining to the data collections and refinements of B‐mullite are presented.