Finite Words,Infinite Wisdom

As picture books gain popularity,they create a bridge between China and the rest of the world.

Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory

In this paper, we intend to consider a kind of nonlinear Klein-Gordon equation coupled with Born-Infeld theory. By using critical point theory and the method of Nehari manifold, we obtain two existing results of infinitely many high-energy radial solutions and a ground-state solution for this kind of system, which improve and generalize some related results in the literature.

英语V+To+Infinitive与V+To+V-ing结构的对比分析

英语v+to+infinitive与v+to+v-ing结构极易发生混淆。在句法上,v+to+infinitive结构中的to+infinitive要么是CP,要么是TP,而v+to+v-ing结构中的to+v-ing是介词短语PP。从语义角度来说,我们可以用主动词提示的时间做参照,to+infinitive所蕴含事件的时间要么发生在主动词时间之后或是与之同时发生,而to v-ing所蕴含的事件可以发生在主动词时间之前,之后或同时发生。另外,与to+infinitive结构不同的是v-ing结构更加倾向强调所发生事件的内部组成成分,所持续的时间和展开的方式等。

“V+to infinitive”与“V+Ving”的认知阐释

从认知学的角度对“V+toinfinitive”和“V+Ving”现象进行阐释,认为“V+toinfinitive”与“V+Ving”有其自身的框架与ICM,可视为一种构式。

A Syntactic Study on Bare Infinitive and Infinitival to

Infinitives which consist of bare infinitive and infinitival to are imperative in linguistic studies.And both of the two kinds of infinitives do not indicate person,tense and number.This research aims to analyze the properties,similarities and differences between bare infinitive and infinitival to from the perspective of syntax.Thus,it enables us to attain a uniform characterization of the infinitival to and bare infinitive on the syntactic level and help us to understand these two kinds of infinitives better.

Convergence of a Sinusoidal Series with an Infinite Integral

In this paper, we study the relationship between the convergence of the sinusoidal series and the infinity integrals (any real number α ∈[0,1], parameter p > 0). First of all, we study the convergence of the series (any real number α ∈[0,1], parameter p > 0), mainly using the estimation property of the order to obtain that the series diverges when 0 p ≤1-α, the series converges conditionally when 1-α p ≤1, and the series converges absolutely when p >1. In the next part, we study the convergence state of the infinite integral (any real number α ∈[0,1], parameter p > 0), and get that when 0 p ≤1-α, the infinite integral diverges;when 1-α p ≤1, the infinite integral conditionally converges;when p >1, the infinite integral absolutely converges. Comparison of the conclusions of the above theorem, it is not difficult to derive the theorem: the level of and the infinity integral with the convergence of the state (any real number α ∈[0,1], the parameter p >0), thus promoting the textbook of the two with the convergence of the state requires the function of the general term or the product of the function must be monotonically decreasing conditions.

TWO DISJOINT AND INFINITE SETS OF SOLUTIONS FOR AN ELLIPTIC EQUATION INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS

In this paper,by an approximating argument,we obtain two disjoint and infinite sets of solutions for the following elliptic equation with critical Hardy-Sobolev exponents■whereΩis a smooth bounded domain in RN with 0∈?Ωand all the principle curvatures of?Ωat 0 are negative,a∈C1(Ω,R*+),μ>0,0<s<2,1<q<2 and N>2(q+1)/(q-1).By2*:=2N/(N-2)and 2*(s):(2(N-s))/(N-2)we denote the critical Sobolev exponent and Hardy-Sobolev exponent,respectively.

Well-Posedness and Infinite Propagation Speed for the Fifth-Order Camassa-Holm Equation with Weakly Dissipative Term

In this paper, we study the fifth-order Camassa-Holm equation with weakly dissipative term. We first give the local well-posedness result and the blow up criterion. Then, we establish sufficient conditions to guarantee that the solution exists globally in time. Finally, the infinite propagation speed of this equation is also investigated.

Darboux transformation,infinite conservation laws,and exact solutions for the nonlocal Hirota equation with variable coefficients

This article presents the construction of a nonlocal Hirota equation with variable coefficients and its Darboux transformation.Using zero-seed solutions,1-soliton and 2-soliton solutions of the equation are constructed through the Darboux transformation,along with the expression for N-soliton solutions.Influence of coefficients that are taken as a function of time instead of a constant,i.e.,coefficient functionδ(t),on the solutions is investigated by choosing the coefficient functionδ(t),and the dynamics of the solutions are analyzed.This article utilizes the Lax pair to construct infinite conservation laws and extends it to nonlocal equations.The study of infinite conservation laws for nonlocal equations holds significant implications for the integrability of nonlocal equations.

The Use of the Infinitive

The article focuses on the use of the infinitive.The infinitive can be used as subject,object,predicative,attributive,complement,and adverbial as well.It has the passive voice and aspects too.A detailed analysis is given on the use of the infinitive,especially when the infinitive matches the verb.The infinitive phrase is also analyzed.A concise summary of the rules of the use of the infinitive is given through detailed analyses and a lot of examples.

Empirical Likelihood Statistical Inference for Compound Poisson Vector Processes under Infinite Covariance Matrix

The paper discusses the statistical inference problem of the compound Poisson vector process(CPVP)in the domain of attraction of normal law but with infinite covariance matrix.The empirical likelihood(EL)method to construct confidence regions for the mean vector has been proposed.It is a generalization from the finite second-order moments to the infinite second-order moments in the domain of attraction of normal law.The log-empirical likelihood ratio statistic for the average number of the CPVP converges to F distribution in distribution when the population is in the domain of attraction of normal law but has infinite covariance matrix.Some simulation results are proposed to illustrate the method of the paper.

Minus Infinity Plus Infinity

Mankind has always been fascinated by nature and has striven to understand its functioning.What lies beyond the stars,what hides inside atoms,how to reach the stars,how to tap the vast energy inside the atoms,what is the correlation between space and time and how to exploit it-these are only a sample of the infinite questions to which we seek answers.In this editorial we explore some of the pressing issues that we are currently trying to address.

基于有限时间ADP的微波加热高钛渣温度跟踪控制

针对常规控制方法对微波加热过程控制效果不够理想的问题,提出一种基于数据驱动模型的有限时间自适应动态规划微波加热温度跟踪算法。算法包含模型网络、评价网络和执行网络,这3个网络的实现依赖于神经网络。模型网络实现微波加热过程的数据驱动建模,评价网络和执行网络实现最优性能指标函数和控制功率的逼近。最后将温度跟踪转化为误差的镇定。通过理论推导证明了算法的收敛性及最优性,并进一步开展了微波加热高钛渣温度跟踪实验和仿真研究。结果表明,算法能有效地跟踪高钛渣的加热过程,基于ELMAN神经网络的模型预测误差小于1℃,温度跟踪误差小于0.2℃,在工业微波加热中具有潜在的应用价值。

半无限区域雪壤与车轮交互作用接触动力学特性分析

车轮与雪壤交互作用是车辆在高原、极地等环境下安全行驶的基础。为构建准确表征车轮与雪壤接触过程的车轮-雪壤交互动态模型,建立圆盘加载仿真模型,获取典型雪壤的压力-沉陷关系;基于硬质雪壤建立车轮-雪壤交互数值仿真模型,对车轮-雪壤交互接触作用力进行数值仿真。利用圆盘加载试验结果和实车试验结果,对建立的数值模型进行有效性验证。基于车轮-雪壤交互平均接触应力关系建立车轮-雪壤交互接触作用力解析模型,利用仿真结果对解析模型进行验证。研究结果表明:半无限区域下的圆盘加载数值仿真模型能够有效反映雪壤的压力-沉陷特性,车轮-雪壤交互数值仿真结果与实际车轮行驶的下陷量、运动阻力系数有较好的一致性;车轮行驶滑移率为正时,车轮载荷-沉陷关系和车轮-雪壤交互接触作用力趋于稳定,车轮行驶滑移率为负时,车轮下陷量变大,由此导致垂向支持力正应力部分和运动阻力增加;车轮行驶滑移率为正时,车轮-雪壤交互解析模型可以准确预测车轮-雪壤交互接触作用力的变化趋势。

无穷区间上非线性q-差分方程共振问题的可解性

为了拓展非线性量子差分方程共振边值问题的基本理论,研究了一类无穷区间上非线性量子差分方程共振边值问题。首先,通过构造合适的Banach空间,定义Fredholm算子,计算其核域和值域;其次,定义其他恰当的算子,并运用Mawhin重合度理论,建立该问题解的存在性定理;再次,运用反证法获得该问题解的唯一性结果;最后,给出一个例子说明主要结果的有效性。结果表明,在非线性项满足一定增长的条件下,非线性量子差分方程共振边值问题至少存在一个解。研究结果丰富了量子差分方程的可解性理论,为量子差分方程在数学、物理等领域的应用提供了理论参考。

基于多策略麻雀搜索算法的机器人路径规划

通过多种策略对基本麻雀搜索算法(SSA)进行改进,以解决麻雀搜索算法后期由于种群多样性丢失而导致的全局优化精度和速度问题。首先,改进无限折叠迭代映射(ICMIC)初始化种群,将自适应分段步长因子引入麻雀探测器的位置更新公式中,使麻雀搜索算法观察者的固定比例系数随迭代次数动态变化。然后,将观察者的位置与新公式和正弦余弦算法(SCA)相结合,并干扰先前的观察者步长。最后,在基准测试函数上比较了改进的麻雀搜索算法(ISSA)、麻雀搜索算法(SSA)、鲸鱼算法(WOA)、灰狼算法(GWO)、改进的灰狼算法(CGWO)、正弦余弦算法(SCA)和粒子群优化算法(PSO)的收敛性和准确性,并将其应用于路径规划。实验表明改进的麻雀搜索算法具有良好的优化性能。

分数阶Riccati方程的Bäcklund变换及其应用

基于整数阶辅助方程法的相关结论,给出了分数阶Riccati方程的包含广义双曲函数解和广义三角函数解的Mittag-Leffler函数新解、Bäcklund变换和解的非线性叠加公式.在此基础上,借助符号计算系统Mathematica,构造了分数阶KdV-mKdV方程、分数阶(3+1)维Zakharov-Kuznetsov方程和分数阶Boussinesq方程的无穷序列新解.

微电网并网逆变器频率自适应前馈双模重复-比例控制

重复控制因其能有效抑制谐波信号而被广泛应用于逆变器控制中,但其动态性能较差,且在电网频率波动时谐波抑制性能下降严重。为此,该文提出一种频率自适应前馈双模重复-比例控制。在双模重复控制的内模中加入前馈环节改善系统的动态性能,并使用无限脉冲响应滤波器实现对电网频率波动导致的分数延迟精确近似。该文给出频率自适应前馈双模重复-比例控制的原理、稳定性分析和参数优化设计过程。实验结果证明了所提出的控制方法在电网频率波动时能抑制并网电流谐波,且具有较好的动态性能。

关于具有不确定性凸半无限规划的近似解

在本文中,我们考虑约束函数带有不确定信息的凸半无限优化问题的近似解(也称为ε-解),并建立了凸半无限规划的鲁棒对等问题,同时给出了其近似解.进一步地,提出了鲁棒对偶问题的必要条件和充分条件.在锥约束条件下,基于鲁棒优化方法,证明了近似解意义下的拉格朗日对偶性质.

光放大器原理及其发展

光通信系统的工作性能,除与光源有关外,还与其传输媒质有关。随着光纤技术的发展,通过追求光通信领域的远距离传输,诞生了光放大器,光放大器可以做到直接放大光信号,在通信领域有很大的应用价值。总结了光放大器的基本原理及其发展。首先介绍了光放大器的概念、分类和原理。然后分别对三类光放大器的关键技术进行了介绍,包括工作原理与性能方面,然后对各类光放大器的国内外现状进行了分析。最后,对光放大器未来的发展进行了展望。