[WS_(3)Cu_(2)]簇基超分子框的组装、结构及其三阶非线性光学响应

将二(4-吡啶)硫烷(L_(1))、4,4'-二(4-吡啶)二苯甲酮(L_(2))分别与(Et_(4)N)(Tp*WS_(3))(A)(Tp*=三(3,5-二甲基吡唑)氢合硼酸根)和[Cu(Me CN)_(4)]PF_(6)进行反应,得到2个W/Cu/S簇基超分子化合物[Tp*WS_(3)Cu_(2)(L_(1))]_(2)(PF_(6))_(2)·2Me CN·2CHCl_(3)(1·2Me CN·2CHCl_(3))和[Tp*WS_(3)Cu_(2)(L_(2))(Me CN)]_(2)(PF_(6))_(2)·4Me CN (2·4Me CN)。对配合物1·2Me CN·2CHCl_(3)和2·4Me CN分别进行了单晶X射线衍射、核磁、质谱、红外、紫外可见和元素分析表征。单晶X射线衍射分析表明,它们是由2个L_(1)/L_(2)配体连接2个[Tp*WS_(3)Cu_(2)]~+簇核形成的阳离子型簇基超分子框。核磁氢谱和高分辨电喷雾离子化质谱(HRESI-MS)证明它们在溶液中具有一定的稳定性。并利用Z扫描技术测试了超分子化合物1·2Me CN·2CHCl_(3)和2·4MeCN溶液的三阶非线性光学特性,测试结果表明它们的三阶非线性光学响应强于前驱体A。

基于分数阶S面模型的四旋翼轨迹跟踪控制

四旋翼无人机具有欠驱动、非线性、强耦合的特点。针对四旋翼无人机轨迹跟踪控制中跟踪精度低,抗外界干扰能力弱的特点,通过对四旋翼无人机进行四元数建模,使用误差四元数作为控制器输入,消除了无人机在机动角度过大时的奇点问题,提出了一种分数阶S面的控制方法,即将分数阶PID控制与S面控制融合,作为一个新的控制器。轨迹跟踪试验表明,分数阶S面控制器在四旋翼无人机控制模型中的累计误差明显小于分数阶PID,证明了该方法具有抗风扰能力强、跟踪精度高的特点。

基于n阶S形曲线的SCARA多目标运动规划

为了对SCARA机器人运动过程中产生的振动进行有效抑制,首先,建立了SCARA机器人的简化浮动坐标法动力学模型;然后,利用n阶S形曲线构造了同时对定位时间和SCARA机器人受到的冲击进行优化的多目标优化模型;最后,采用基于Kriging模型的NSGA-Ⅱ算法对优化问题进行求解。得到的多目标优化问题的Pareto前沿表明,四阶S形曲线的定位时间与三阶S形曲线大致相当,但是引起的冲击远小于三阶S形曲线。对优化结果的仿真也表明,以四阶S形曲线驱动的SCARA机器人运行过程更平滑,产生的残余振动也远小于三阶S形曲线。研究表明,四阶S形曲线具备比三阶S形曲线更加优良的振动抑制性能,在工程中具有广泛的应用价值。

基于高阶多道同步挤压广义S变换的多属性融合储层预测技术研究及应用

时频域地震精细解释建立在高分辨率时频分析算法的基础上。为适应高精度勘探开发的要求,在多道同步挤压广义S变换(MSGST)的基础上,提出了高阶多道同步挤压广义S变换(HMSGST),进一步聚焦时频分辨率,提高储层预测的精准性。通过理论信号、理论加噪信号对比6种时频算法的计算结果,验证了HMSGST具有高时频分辨率,对复杂信号具有更好的刻画能力。以某三维工区海相砂岩为例,基于HMSGST在时频域沿主要油气储层(T2层)提取时间切片,开展频率衰减梯度、分频相干等属性分析以增强对短轴河道、次级断裂等目标的识别能力和烃类检测能力,进一步结合曲率属性开展RGB多属性融合精细雕刻。对于不同工区、不同地质条件的地震数据,需要进行HMSGST的参数分析,适合的参数是达到更为准确的计算结果的前提。

不确定非方广义分数阶T-S模糊系统的鲁棒镇定

针对不确定非方广义分数阶T-S模糊系统阶数为0<α<1的鲁棒镇定问题,提出了一个有效的判据.首先,利用一个新的T-S模糊动态补偿器,将不确定非方广义分数阶T-S模糊系统转化为一个增广的不确定方形广义分数阶T-S模糊系统.由于增广变量的引入,动态补偿器的设计问题可以等价为静态输出反馈控制器的设计问题.其次,设计一个分数阶导数反馈控制器对得到的增广系统进行正常化处理.然后,对正常化得到的不确定分数阶T-S模糊系统进行研究,得到一个系统渐近稳定的充分条件.该条件保守性小并且形式简洁.最后,通过一个数值算例和一个实际例子验证了本文所提出结论的正确性和有效性.

Stokes'first problem for the fourth order fluid in a porous half space

In this study, the flow of a fourth order fluid in a porous half space is modeled. By using the modified Darcy＇s law, the flow over a suddenly moving flat plate is studied numerically. The influence of various parameters of interest on the velocity profile is revealed.

A Family of Fifth-order Iterative Methods for Solving Nonlinear Equations

In this paper, we present and analyze a family of fifth-order iterative methods free from second derivative for solving nonlinear equations. It is established that the family of iterative methods has convergence order five. Numerical examples show that the new methods are comparable with the well known existing methods and give better results in many aspects.

Soliton Solutions for a Negative Order AKNS Equation

In this short paper,bilinear form of a negative order AKNS equation is given.The N-soliton solutions areobtained through Hiorta's direct method.

A Study of Iconicity in English Translation of Chinese Political Discourse:A Case Study of China’s Epic Journey from Poverty to Prosperity

Political discourse is an important component of Chinese discourse,and its translation criticism research is of great significance for telling the story of China well and establishing an international image.Iconicity is an important means to form the rhetorical effect,so the translation of political discourse must try to reproduce the iconicity of the original text.By analyzing the syntactic iconicity of the English version of the White paper China’s Epic Journey from Poverty to Prosperity,it is found that for the translation of quantitative iconicity,it is necessary to adjust the translation by synonym substitution or sentence pattern conversion on the basis of ensuring the representation of quantitative rhetoric.For the translation of sequential iconicity,it should strive for representing the logical sequence of the original text while enhancing the readability and rhetorical power of the translation.For the translation of distance iconicity,it is necessary to reproduce the delicacy of the original,meanwhile,to consider the emotional and rhetorical implication.The research emphasizes the balance between“syntactic iconicity of original text representation”and“appeal and readability of translated text”.The study is helpful to telling the“China’s poverty reduction story well”and translation practice of political discourse.

Soliton Solutions for a Negative Order AKNS Equation Hierarchy

In this paper,bilinear form of a negative order AKNS equation hierarchy is given.The soliton solutionsare obtained through Hiorta's direct method.

Unifying the theory of integration within normal-,Weyl- and antinormal-ordering of operators and the s-ordered operator expansion formula of density operators

By introducing the s-parameterized generalized Wigner operator into phase-space quantum mechanics we invent the technique of integration within s-ordered product of operators （which considers normally ordered, antinormally ordered and Weyl ordered product of operators as its special cases）. The s-ordered operator expansion （denoted by s…s ） formula of density operators is derived, which isρ=2/1-s∫d^2β/π〈-β｜ρ｜β〉sexp{2/s-1（s｜β｜^2-β＊α＋βa-αα）}s The s-parameterized quantization scheme is thus completely established.

Three-dimensional ordered hierarchically porous carbon materials for high performance Li-Se battery

Developing host materials with high specific surface area, good electron conductivity, and fast ion transportation channel is critical for high performance lithium-selenium(Li-Se) batteries. Herein, a series of three dimensional ordered hierarchically porous carbon(3D OHPC) materials with micro/meso/macropores are designed and synthesized for Li-Se battery. The porous structure is tuned by following the concept of the generalized Murray’s law to facilitate the mass diffusion and reduce ion transport resistance.The optimized 3D Se/OHPC cathode exhibits a very high 2 nd discharge capacity of 651 m Ah/g and retains 361 m Ah/g after 200 cycles at 0.2 C. Even at a high current rate of 5 C, the battery still shows a discharge capacity as high as 155 m Ah/g. The improved electrochemical performance is attributed to the synergy effect of the interconnected and well-designed micro, meso and macroporosity while shortened ions diffusion pathways of such Murray materials accelerate its ionic and electronic conductivities leading to the enhanced electrochemical reaction. The diffusivity coefficient in Se/OHPC can reach a very high value of 1.3 × 10^(-11)cm^(2)/s, much higher than those in single pore size carbon hosts. Their effective volume expansion accommodation capability and reduced dissolution of polyselenides ensure the high stability of the battery. This work, for the first time, established the clear relationship between textural properties of cathode materials and their performance and demonstrates that the concept of the generalized Murray’s law can be used as efficient guidance for the rational design and synthesis of advanced hierarchically porous materials and the great potential of 3D OHPC materials as a practical high performance cathode material for Li-Se batteries.

Construction of Wave-free Potentials and Multipoles in a Two-layer Fluid Having Free-surface Boundary Condition with Higher-order Derivatives

There is a large class of problems in the field of fluid structure interaction where higher-order boundary conditions arise for a second-order partial differential equation. Various methods are being used to tackle these kind of mixed boundary-value problems associated with the Laplace’s equation （or Helmholtz equation） arising in the study of waves propagating through solids or fluids. One of the widely used methods in wave structure interaction is the multipole expansion method. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace’s equation or two-dimensional Helmholz equation. Construction of these wave-free potentials and multipoles are presented here in a systematic manner for a number of situations such as two-dimensional non-oblique and oblique waves, three dimensional waves in two-layer fluid with free surface condition with higher order partial derivative are considered. In particular, these are obtained taking into account of the effect of the presence of surface tension at the free surface and also in the presence of an ice-cover modelled as a thin elastic plate. Also for limiting case, it can be shown that the multipoles and wave-free potential functions go over to the single layer multipoles and wave-free potential.

The Transition of the international Order and China's Role

The international order is built on the principles of sovereign equality,national interests,great powers and respect for human rights among others.International rivalry and cooperation have existed side by side over the past few centuries,while the foundations of an international order have solidified.We are now seeing a transition in the international order that requires new innovative ways of thinking.China is seen as the key driver of these changes because of its unique status,pattern of growth and future potential.China should embrace this historic opportunity and take on its obligations to contribute to the birth of a new modern international order.

Controllability of fractional-order Chua's circuit

The ultimate proof of our understanding of nature and engineering systems is reflected in our ability to control them.Since fractional calculus is more universal, we bring attention to the controllability of fractional order systems. First,we extend the conventional controllability theorem to the fractional domain. Strictly mathematical analysis and proof are presented. Because Chua＇s circuit is a typical representative of nonlinear circuits, we study the controllability of the fractional order Chua＇s circuit in detail using the presented theorem. Numerical simulations and theoretical analysis are both presented, which are in agreement with each other.

THE EXACT ORDER OF |x-x_k|~s|I_k(x)|~t

In this paper we give the exact order of丨x-x_k丨~丨l_k(x)丨~for any fixed nonnegative integers s and t,which is n^(-s),n^(-s)lnn and n^(1-)for s≤t-2,s=t-1 and s≥t, respectively.

Georg Cantor’s Ordinals, Absolute Infinity&Transparent Proof of the Well-Ordering Theorem Cantor’s 1899 Letter to Dedekind

Georg Cantor’s absolute infinity, the paradoxical class Ω of all ordinals, a non-entity for which being called a “class” is an undeserved dignity, must be the ultimate vexation for mathematical philosophers who hold on to some residual realism in set theory. By careful use of Ω, we can rescue Georg Cantor’s 1899 “proof” sketch of the Well-Ordering Theorem (being generous, considering his declining health) by taking the contrapositive of his suggestion and adding Zermelo’s choice function, resulting in a concise and uncomplicated proof of the Well-Ordering Theorem.

Polarizabilities and Orientational Order Parameter in N-(p-n-Ethoxybenzylidene)- p-n-Alkoxy Anilines, 2O.Om LC Compounds

n.m, n.Om, nO.m and nO.Om compounds play an important role in the fundamental and applied aspects. As a part of our systematic studies of the above homologous series regarding the synthesis, characterization and phase transition studies, here the authors report the polarizabilities and orientational order parameter, S in N-(p-n-ethoxybenzylidene)-p-n-alkoxy anilines, 2O.Om with m = 3 to 10 liquid crystalline compounds except with m = 5 which has been already published. The rest of the compounds exhibit the nematic LC phase except with m = 10 which shows the smectic-C phase along the nematic phase which is originally not detected by Godzwon et al. But the author’s observations with TM and differential scanning calorimeter have shown the existence on SmC phase in addition to nematic phase. Further, SmC is clarified using the histogram technique whose details are given below and are published elsewhere. The orientstonal order parameter, S is estimated using different methods and compared with the value obtained from birefringence, δn = (ne – no) where no field model is used. It is observed in these compounds case as in other LC compounds Vuks isotropic model is favored compared to that of anisotropic model proposed by Neugebauer.

Deriving some quantum optical identities using the general ordering theorem

Using the newly introduced general ordering theorem by Sh/ihandeh and Bazrafkan, we derive and generalize some quantum optical identities and give their applications.