A New Kind of Two-Fold Integration Transformation in Phase Space and Its Uses in Weyl Ordering of Operators

We propose a new two-fold integration transformation in p-q phase space∫∫^∞-∞dpdq/π e^2i（p-x）（q-y）f（p,q）≡G（x,y）,which possesses some well-behaved transformation properties. We apply this transformation to the Weyl ordering of operators, especially those Q-P ordered and P-Q ordered operators.

A NEW WAY FOR DERIVING HIGH ORDER STOKES WAVES

Variational principle for non-vortex, non-linear wave theories is established in this paper. By using this variational principle and related functional minimum condition, the fifth and sixth order Stokes Vaves are given as an example and the results are compared with those in Reference (Skjel-breia, 1961).

A NEW APPROACH TO THE EQUATIONS FOR THE STEADY STATE CURRENTS AT MICROELECTRODES:EC'PROCESSES(SECOND ORDER REACTION)

With a new approach,the general current expressions of two typical second order catalytic reactions at microelectrodes are obtained.This allows the study of fast chemical reactions and systems where the reactants are present in similar concentrations.

New ordered MAX phase Mo_2 TiAlC_2: Elastic and electronic properties from first-principles

First-principles computation on the basis of density functional theory(DFT) is executed with the CASTEP code to explore the structural, elastic, and electronic properties along with Debye temperature and theoretical Vickers’ hardness of newly discovered ordered MAX phase carbide Mo2TiAlC2. The computed structural parameters are very reasonable compared with the experimental results. The mechanical stability is verified by using the computed elastic constants. The brittleness of the compound is indicated by both the Poisson’s and Pugh’s ratios. The new MAX phase is capable of resisting the pressure and tension and also has the clear directional bonding between atoms. The compound shows significant elastic anisotropy. The Debye temperature estimated from elastic moduli(B, G) is found to be 413.6 K. The electronic structure indicates that the bonding nature of Mo2TiAlC2is a mixture of covalent and metallic with few ionic characters. The electron charge density map shows a strong directional Mo–C–Mo covalent bonding associated with a relatively weak Ti–C bond.The calculated Fermi surface is due to the low-dispersive Mo 4d-like bands, which makes the compound a conductive one.The hardness of the compound is also evaluated and a high value of 9.01 GPa is an indication of its strong covalent bonding.

Mei symmetry and new conserved quantities of Tzénoff equations for higher-order nonholonomic system

In this paper,the Mei symmetry of Tzénoff equations for the higher-order nonholonomic system and the new conserved quantities derived from that are researched,and the function expression of new conserved quantities and criterion equation which deduces these conserved quantities are presented.This result establishes the theory basis for further researches on conservation laws of Tzénoff equations of the higher-order nonholonomic constraint system.

The Struggle for Establishing A New International Order

The 20th century is a century when both intra-national order and internationalorder were frequently changing. The struggles have never stopped focusingon setting order. Today with the East-west cold war over for 10 years, there arestill strong appeals for peace and stability, and demands for establishing a newinternational order. The War on Kosovo in the end of the 20th century is a sig-nificant attempt from the U. S. and other major Western powers to set up a newworld order without caring whether by means of force or even of war. This

The UN and a New World Order

CURRENTLY, the world is undergoing significant change as emerging powers become more important and active participants in the international system. Significant changes in the relative economic and political power of states pose new challenges and opportunities for international peace and development,

构建人类命运共同体的时代价值与实践指向

构建人类命运共同体是中国共产党对人类发展前景和全球治理体系作出的前瞻性考量。这一理念蕴含着中华优秀传统文化中的“共同体”思想,体现了马克思主义政党的使命担当,传承了马克思主义发展观,推动构建世界发展新秩序、世界文明新秩序,推进全球治理体系变革,遵循对话协商、共建共享、合作共赢、交流互鉴、绿色低碳的原则,彰显了中国特色大国外交理念,具有重要时代价值和实践指导意义,为全球治理提供中国智慧和中国方案。

中国制造业高质量发展的评价与分析

采用新改进的熵权-TOPSIS(优劣解距离法)模型对2012—2020年中国制造业高质量发展水平进行测度,并对各维度进行分析,总结制造业高质量发展的时序演变特征。运用空间分析方法对空间分布特征及其演变趋势进行研究,并借助泰尔指数及其分解法,对制造业高质量发展的区域差距进行分解分析。结果表明:中国制造业高质量发展总体水平呈上升趋势,在区域上呈现出东部、中部、西部、东北部依次递减的特点,从稳定性来看,中部地区最为稳定,其次是东北、西部地区,最后是东部地区;从空间演变分析来看,存在一定的空间集聚性;从区域差距来看,制造业高质量发展水平总体差距呈现先增后降趋势,有缩小趋势,区内差异是主要区域差异来源,并且东部地区是区内差异的主要贡献地区。

A new kind of special function and its application

By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials.Its application in deriving the normalization for some quantum optical states is presented.

Land use suitability analysis for town development planning in Nanjing hilly areas: A case study of Tangshan new town, China

Land use suitability analysis plays an important role in sustainable land use and solving environmental problems caused by rapid urban development.A land use suitability mapping approach for town development planning in hilly areas was constructed based on two multi-criteria evaluation methods:Weighted Linear Combination(WLC)and Ordered Weighted Averaging(OWA),to comparatively evaluate and map land use suitability of Tangshan new town in Nanjing,China.Fourteen evaluation factors related to topographic,environmental,socio-economics and historical sites data were used as suitability criteria.The analytic hierarchy process(AHP)method and GIS techniques were integrated into the evaluation models to create the land use suitability map for town development planning.The results of WLC approach showed that 11.4%of the total area is highly suitable while the 48.6%is unsuitable.The results of WLC and OWA approach showed the distribution of degree of land use suitability is almost the same.The areas located at the southern and eastern flat regions are highly suitable for land use,whereas the areas close to the mountain forests,steep slopes,waters,and hot springs,have lower suitability for land use.Sensitivity analysis indicated that the suitability results of the two proposed methods are robust.Indirect validation was achieved by mutual comparison of suitability maps derived from the WLC and OWA methods.It demonstrated that the overall agreement is 90.81%and kappa coefficient is 0.81,indicating that both methods provide very similar spatial suitability distributions.By overlaying the resultant map with the previous master plan map of Tangshan new town,the overlay map once again indicated a satisfactory ecological fit between the two maps.At last,several recommendations are proposed aiming at improving the long-term town development plan for Tangshan new town.

Higher Order Solitary Wave Solutions of the Standard KdV Equations

Considered under their standard form, the fifth-order KdV equations are a sort of reading table on which new prototypes of higher order solitary waves residing there, have been uncovered and revealed to broad daylight. The mathematical tool that made it possible to explore and analyze this equation is the Bogning-Djeumen Tchaho-Kofané method extended to the new implicit Bogning' functions. The analytical form of the solutions chosen in this manuscript is particular in the sense that it contains within its bosom, a package of solitary waves made up of three solitons, especially, the bright type soliton, the hybrid soliton and the dark type soliton which we estimate capable in their interactions of generating new hybrid or multi-form solitons. Existence conditions of the obtained solitons have been determined. It emerges that, these existence conditions of the chosen ansatz could open the way to other new varieties of fifth-order KdV equations including to which it will be one of the solutions. Some of the obtained solitons are exact solutions. Intense numerical simulations highlighted numerical stability and confirmed the hybrid character of the obtained solutions. These results will help to model new nonlinear wave phenomena, in plasma media and in fluid dynamics, especially, on the shallow water surface.

A new two-mode thermo- and squeezing-mixed optical field

We propose a new two-mode thermo-and squeezing-mixed optical field, described by the new density operator ρ=1-e^f-｜g｜^2 e^ga^＋b^＋e^fa^＋a｜0〉 f_（bb） 〈0｜ e^（g＊ab）, where ｜0〉_（bb） 〈0｜ is the b-mode vacuum, e ^fa^＋arepresents the thermo-field, and e^ga^＋b^＋ indicates squeezing. The photon statistics for ρ is studied by virtue of the method of integration within ordered product（IWOP） of operators. Such a field can be generated when a two-mode squeezed state passes through a one-mode dissipation channel.

Some applications of a new coherent-entangled state in two-mode Fock space

Using the technique of integration within an ordered product of operators, we find a new kind of coherent-entangled state （CES）, which exhibits both coherent and entangled state properties. The set of CESs makes up a complete and partly nonorthogonal representation. Using a beam splitter, we propose a simple experimental scheme to produce the CES. Finally~ we present some applications of CESs in quantum optics.

Ordered product expansions of operators (AB)^±m with arbitrary positive integer

We arrange quantum mechanical operators ■ in their normally ordered product forms by using Touchard polynomials.Moreover,we derive the anti-normally ordered forms of ■ by using special functions as well as Stirling-like numbers together with the general mutual transformation rule between normal and anti-normal orderings of operators.Further,the Q-and P-ordered forms of(QP)±m are also obtained by using an analogy method.

A Look at The Syllabus of New Headway Intermediate Students' book and Its Implementation on Chinese Middle School Students

The purpose of this assignment is to evaluate the course book New Headway intermediate students’book.The teaching context of using this book will be described clearly before discussing the syllabus terms and types which are related to the course book.In addition,the selection and ordering of elements in this course book will be analyzed,the problems and solutions of using this book in teaching context will also be discussed.

Adaptive synchronisation of fractional-order chaotic systems

A new stability theory of nonlinear dynamic systems is proposed, and a novel adaptive synchronisation method is presented for fractional-order chaotic and hyperchaotic systems based on the theory described in this paper. In comparison with previous methods, not only is the present control scheme simple but also it employs only one control strength, converges very fast, and it is also suitable for a large class of fractional-order chaotic and hyperchaotic systems. Moreover, this scheme is analytical and simple to implement in practice. Numerical and circuit simulations are used to validate and demonstrate the effectiveness of the method.

农村新生代青年低额彩礼的形成机制及其现实挑战

高额彩礼是我国近年来重点治理的突出社会问题。本研究基于对重庆石村新生代青年“零彩礼”现象的田野调查,分析当地低额彩礼的形成机制及其面临的现实挑战。石村“不算彩礼”的共识促进了婚姻交换灵活多元的发展,相对于更具仪式性的婚礼花费、改口费和房产花费,彩礼因过于货币化和功利化而被排除在有意义的婚姻交换之外。自明清流传至今的传统习俗和社会主义新风尚共同塑造了当地礼俗传统,弱代际责任感下自由恋爱、代际和性别平等的情境化解了婚姻交换的偿付和资助功能,礼物模式的婚姻交换在仪式和日常中塑造着集体道德感,即使是在跨婚姻圈的新生代中也没有形成高额彩礼。但随着社会流动性和风险性增大,当地低额彩礼实践的维系正面临着跨区域文化冲突和彩礼抵押功能强化的挑战。

邓小平对中国特色大国外交的理论贡献

邓小平是党的第二代领导集体的核心,是伟大的马克思主义战略家。他统揽国内和国际两个大局,纵观世界大势,深刻洞察和分析国际形势的新变化和世界格局演变的新特点,高瞻远瞩,深谋远虑,提出一系列重大外交战略新判断新思想,果断调整了我国对外政策,开创了中国外交新局面,赢得了有利的改革开放和社会主义现代化建设的国际环境,树立了反对霸权主义、促进世界和平与发展的光辉的国际形象。认真学习邓小平的外交战略思想,对我们推进新时代中国特色大国外交具有十分重要的意义。

不结盟运动构建印度洋和平区的过程、困境与内涵(1964—1980)

二战后,随着英国影响力在印度洋地区逐渐收缩,美苏两个超级大国在印度洋区域扩大势力范围,对印度洋沿岸及区域内国家造成了安全威胁。万隆会议召开后,印度洋沿岸及区域内国家开始利用不结盟运动这一平台向联合国建议构建印度洋和平区,这一提议在1971年被联合国通过。对比二战后两大超级大国主导的对第三世界不公正的世界秩序,印度洋和平区的倡议体现了区域内国家对构建以独立、自主、和平、合作等理念为核心的新世界秩序的向往与尝试。然而,印度的地区霸权主义行径与美苏两国在撤出军事基地与海军等方面并不进行实质性对话,使印度洋和平区决议难以落实。印度洋和平区的主张是在美苏两大超级大国进行全球性对抗时,第三世界国家率先发出的对于和平、稳定等秩序的追求,为世界和平发展增加了更多可能性和正能量,直至今日全球南方国家对这一进程的奋斗仍在继续。