Coefficient Estimates for a Subclass of Bi-univalent Strongly Quasi-starlike Functions

The aim of this paper is to establish the Fekete-Szego inequality for a subclass of bi-univalent strongly quasi-starlike functions which is defined in the open unit disk. Furthermore, the coefficients a2 and a3 for functions in this new subclass are estimated.

On the dielectric response function and dispersion relation in strongly coupled magnetized dusty plasmas

Using the generalized viscoelastic fluid model, we derive the dielectric response function in a strongly coupled dusty magnetoplasma which reveals two different dust acoustic（DA） wave modes in the hydrodynamic and kinetic limits. The effects of the strong interaction of dust grains and the external magnetic on these DA modes, as well as on the shear wave are examined. It is found that both the real and imaginary parts of DA waves are significantly modified in strongly coupled dusty magnetoplasmas. The implications of our results to space and laboratory dusty plasmas are briefly discussed.

New Result for Strongly Starlike Functions

In this paper, using Salagean differential operator, we define and investigate a new subclass of univalent functions . We also establish a characterization property for functions belonging to the class .

Evaluation of strongly singular domain integrals for internal stresses in functionally graded materials analyses using RIBEM

An accurate evaluation of strongly singular domain integral appearing in the stress representation formula is a crucial problem in the stress analysis of functionally graded materials using boundary element method.To solve this problem,a singularity separation technique is presented in the paper to split the singular integral into regular and singular parts by subtracting and adding a singular term.The singular domain integral is transformed into a boundary integral using the radial integration method.Analytical expressions of the radial integrals are obtained for two commonly used shear moduli varying with spatial coordinates.The regular domain integral,after expressing the displacements in terms of the radial basis functions,is also transformed to the boundary using the radial integration method.Finally,a boundary element method without internal cells is established for computing the stresses at internal nodes of the functionally graded materials with varying shear modulus.

A Unified Approach to the Thermodynamics and Quantum Scaling Functions of One-Dimensional Strongly Attractive SU(w) Fermi Gases

We present a unified derivation of the pressure equation of states, thermodynamics and scaling functions for the one-dimensional （1D） strongly attractive Fermi gases with SU（w） symmetry. These physical quantities provide a rigorous understanding on a universality class of quantum criticality characterized by the critical exponents z = 2 and correlation length exponent v= 1/2. Such a universality class of quantum criticality can occur when the Fermi sea of one branch of charge bound states starts to fill or becomes gapped at zero temperature. The quantum critical cone can be determined by the double peaks in specific heat, which serve to mark two crossover temperatures fanning out from the critical point. Our method opens to further study on quantum phases and phase transitions in strongly interacting fermions with large SU （ w） and non-SU （ w ） symmetries in one dimension.

Some Integral Inequalities of Simpson Type for Strongly Extended s-Convex Functions

The main purpose of this survey paper is to point out some very recent developments on Simpson’s inequality for strongly extended s-convex function. Firstly, the concept of strongly extended s-convex function is introduced. Next a new identity is also established. Finally, by this identity and H?lder’s inequality, some new Simpson type for the product of strongly extended s-convex function are obtained.

Zeroth-Order Methods for Online Distributed Optimization with Strongly Pseudoconvex Cost Functions

This paper studies an online distributed optimization problem over multi-agent systems.In this problem,the goal of agents is to cooperatively minimize the sum of locally dynamic cost functions.Different from most existing works on distributed optimization,here we consider the case where the cost function is strongly pseudoconvex and real gradients of objective functions are not available.To handle this problem,an online zeroth-order stochastic optimization algorithm involving the single-point gradient estimator is proposed.Under the algorithm,each agent only has access to the information associated with its own cost function and the estimate of the gradient,and exchange local state information with its immediate neighbors via a time-varying digraph.The performance of the algorithm is measured by the expectation of dynamic regret.Under mild assumptions on graphs,we prove that if the cumulative deviation of minimizer sequence grows within a certain rate,then the expectation of dynamic regret grows sublinearly.Finally,a simulation example is given to illustrate the validity of our results.

Strong Convergence and Its Rate of Modified Partitioning Estimation for Nonparametric Regression Function under Dependence Samples

In this paper, we study the strong consistency and convergence rate for modified partitioning estimation of regression function under samples that are ψ-mixing with identically distribution.

Strong Convergence of Partitioning Estimation for Nonparametric Regression Function under Dependence Samples

In this paper, we study the strong consistency for partitioning estimation of regression function under samples that axe φ-mixing sequences with identically distribution.Key words: nonparametric regression function; partitioning estimation; strong convergence;φ-mixing sequences.

Filling dependence of correlation exponents and metal-Mott insulator transition in strongly correlated electron systems

Using a universal relation between electron filling factor and ground state energy, this paper studies the dependence of correlation exponents on the electron filling factor of one-dimensional extended Hubbard model in a strong coupling regime, and demonstrates that in contrast to the usual Hubbard model （gc = 1/2）, the dimensionless coupling strength parameter gc heavily depends on the electron filling, and it has a ＂particle-hole＂ symmetry about electron quarter filling point. As increasing the nearest neighbouring repulsive interaction, the single particle spectral weight is transferred from low energy to high energy regimes. Moreover, at electron quarter filling, there is a metal-Mott insulator transition at the strong coupling point gc = 1/4, and this transition is a continuous phase transition.

STRONG REPRESENTATIONS OF THE SURVIVAL FUNCTION ESTIMATOR ON INCREASING SETS FOR TRUNCATED AND CENSORED DATA

In this paper, based on random left truncated and right censored data, the authors derive strong representations of the cumulative hazard function estimator and the product-limit estimator of the survival function. which are valid up to a given order statistic of the observations. A precise bound for the errors is obtained which only depends on the index of the last order statistic to be included.

Baryon wave functions and free neutron decay in the scalar strong interaction hadron theory (SSI)

From the equations of motion for baryons in the scalar strong interaction hadron theory (SSI), two coupled third order radial wave equations for baryon doublets have been derived and published in 1994. These equations are solved numerically here, using quark masses obtained from meson spectra and the masses of the neutron, ?0 and ?0 as input. Confined wave functions dependent upon the quark-diquark distance as well as the values of the four integration constants entering the quark-diquark interaction potential are found approximately. These approximative, zeroth order results are employed in a first order perturbational treatment of the equations of motion for baryons in SSI for free neutron decay. The predicted magnitude of neutron’s half life agrees with data. If the only free parameter is adjusted to produce the known A asymmetry coefficient, the predicted B asymmetry agrees well with data and vice versa. It is pointed out that angular momentum is not conserved in free neutron decay and that the weak coupling constant is detached from the much stronger fine structure constant of electromagnetic coupling.

Study of Nonlinear Earthquake Flow Functions and Their Application to the Space Increased Probability of Strong Earthquake (SIP)

The definition and abnormality discriminatory criteria of earthquake flow function are introduced in this paper based on the algorithm of Space Increased Probability (SIP). Nine earthquake flow functions were defined by the method. The retrospect test that applied the SIP algorithm with the nonlinear earthquake flow function to 7 earthquakes, which occurred from 1975 to 1989 in Eastern China, with a magnitude of 6 or greater depicted that 6 of the 7 strong earthquakes (86%) were located in the SIP areas, and the SIP covers about 32% of the total research time-space domain. These suggest that the R-value, an effective scale for earthquake forecast, is 54% and may imply that the nonlinear earthquake flow function introduced in this paper can be applied to the intermediate-term earthquake forecast research.

基于边缘约束与范数比值的图像盲复原

针对现有的研究方法对运动所引起的模糊图像进行复原时效果欠佳的问题,提出一种基于边缘约束与范数比值的图像盲复原算法.该算法首先对退化图像的边缘进行约束,得到图像的强边缘结构,提高了点扩散函数估计的准确率;然后对要估计的清晰图像构造范数比值的稀疏惩罚约束项,并将得到的强边缘信息与构造的范数比值惩罚约束项进行结合用于指引点扩散函数的复原;在对点扩散函数进行复原时,由粗到细多尺度交替迭代估计点扩散函数,使得迭代出的最大尺度更加精确;最后对图像进行非盲解卷积求解,使其复原.该算法将退化图像的边缘信息与构造的范数比值惩罚约束项进行结合指导点扩散函数的复原,可以抑制图像在复原过程中产生的大量伪迹.实验结果表明,该算法对恢复图像边缘细节具有很好的效果,可以得到优质的复原图像.

一般复合均匀凸优化的强和稳定对偶

在广义凸共轭理论的基础和可分离的局部凸空间的条件下,利用扰动方法和c—共轭方法得到一般复合均匀凸优化问题的对偶问题,并在原问题的基础上再扰动一个连续线性泛函得到其稳定对偶问题.进而在一定的假设条件下,结合函数的均匀凸性,给出保证强对偶和稳定强对偶成立的正则条件.

具有倍乘单次转换特性的效用函数研究

在金融经济学和决策科学中,效用函数是描述决策者风险态度或满意程度最重要的理论工具之一,它也是风险和不确定性决策分析的基本工具。对效用函数特征和应用背景的研究一直是决策科学和风险管理领域的重要问题。本文提出了效用理论中的倍乘单次转换的概念,得到了具有倍乘单次转换特性的效用函数的四种具体形式,并且给出了它们与风险厌恶以及风险一致性之间的关系,从而为具有此特性的效用函数提供了实际的应用背景。以此为基础,本文进一步提出了倍乘强单次转换的概念,并证明了满足此特性的效用函数的具体形式。本文的研究丰富了效用理论中单次转换效用函数的研究内容,为分析具有倍乘单次转换特性的决策问题提供了理论工具。

微螺钉种植体支抗治疗口腔正畸患者的效果及对牙根吸收状况、美观程度的影响

目的分析微螺钉种植体支抗治疗口腔正畸患者的临床效果。方法选取我院2019年1月至2021年12月收治的80例口腔正畸患者作为研究对象,以随机法将其分为常规组(40例,常规口外弓强支抗治疗)和观察组(40例,微螺钉种植体支抗治疗)。比较两组的治疗效果。结果观察组的治疗总有效率显著高于常规组,差异具有统计学意义(P<0.05)。治疗前、后,两组的牙根吸收情况比较,差异无统计学意义(P>0.05)。治疗前,两组的咬合力、咀嚼功能及牙周健康指标比较,差异无统计学意义(P>0.05);治疗后,观察组的咬合力及咀嚼功能均显著高于常规组,牙龈退缩指数(GI)、龈沟出血指数(SBI)及菌斑指数(PLI)评分均显著低于常规组,差异具有统计学意义(P<0.05)。观察组的正畸美观程度评分显著高于常规组,不良反应总发生率显著低于常规组,差异具有统计学意义(P<0.05)。结论微螺钉种植体支抗治疗口腔正畸患者能取得理想疗效,有着较高的正畸美观度评价。

从“实则阳明,虚则太阴”论治卵巢储备功能减退

卵巢储备功能减退临床主要表现为月经过少、月经稀发、闭经或不孕等病症,现代医学对于此病的治疗尚存在一定的争论。目前已有大量研究表明中医治疗卵巢储备功能减退具有明显优势,中医传统医学多从肾、肝、脾、心等脏腑论治此病,清代医家柯韵柏在《内经》的基础上提出“实则阳明、虚则太阴”的经典论述,文章从这一理论角度出发分析此病的发病机制,力求探索临床应用中医药防治卵巢储备功能减退的有效治疗方法。文章将以“实则阳明、虚则太阴”思想为基础,对辨治卵巢储备功能减退的思路及应用做出详细阐述。

基于强氢键作用的超分子微纳米涂层改性滤膜

为解决油水分离滤膜循环使用性差的问题,采用超分子鞣酸-聚乙烯醇(TA-PVA)黏结剂黏附鞣酸-铜(TA-CuⅡ)形成鞣酸-聚乙烯醇-铜(TA-PVA-CuⅡ)涂层改性聚偏氟乙烯(PVDF)膜,制备了具有稳定微纳米涂层的超亲水/水下超疏油膜(TA-PVA-CuⅡ@PVDF)。采用SEM、FTIR、XPS对制备的膜进行了表征,对改性前后PVDF膜的表面润湿性、油水分离性进行了测试,考察了二价铜离子改性时间对TA-PVA-CuⅡ@PVDF循环使用性以及涂层耐久性的影响。结果表明,在亲水性TA-PVA-CuⅡ微纳米涂层的作用下,TA-PVA-CuⅡ@PVDF的水接触角和水下油接触角分别可达到0°和151.0°,其对乳化油的分离膜通量和分离效率最高分别可达1169.30 L/(m^(2)·h)和99.99%,展现出优异的油水分离性能。二价铜离子改性时间为20 min时,TA-PVA-CuⅡ@PVDF循环稳定性和耐久性最佳,具有15次的循环分离次数,并且通量改变率为6.6%。

新时代中国影视作品中富强叙事的类型与功能分析

影视作品反映和引领时代,社会主义核心价值观不断在新时代中国影视作品中呈现出来。揭示新时代中国影视作品的类型与功能,需要建立相应的分析架构,通过分析社会主义核心价值观中富强观的语义可知,其构建了包含国家富强的富强主体观、改革创新的富强动力观、协调发展的富强保障观、共同富裕的富强目的观、共同繁荣的富强全球观的体系结构。用上述语义结构分析可知,新时代中国影视作品的富强叙事,在主题类型上包括国家富强的富强主体叙事、改革创新的富强动力叙事、协调发展的富强保障叙事、共同富裕的富强目的叙事、共同繁荣的富强全球叙事。在传播功能上有利于培育和践行富强观、有利于讲好中国富强故事、有利于彰显中国富强的独特风格。