查询词典 hilbert problems

In Chapter 6, we study a kind of system of nonlinear variational inequalities and its related auxiliary problems in real Hilbert space.

针对一类非线性变分不等式系统，我们研究了其相关辅助问题，建立了辅助问题解的存在性定理。

Hilbert boundary value problems of non-normal type for bianalytic functions are investigated.

研究双解析函数的非正则型Hilbert边值问题，给出该问题的可解性定理。

The project proposed and established the strict unique mathematical model of instantaneous frequency aiming at the currently existed problems in Hilbert Huang Transform form the viewpoint of physical connotative meaning; proposed and established the strict mathematical model of general intrinsic mode signal based on the concept of general continuous intrinsic mode signal and the compositive principle of practical general intrinsic mode signal; researched and proposed the fitting method of envelope lines in HHT from the viewpoint of theory, conquered the blindness and random in quondam EMD envelope line fitting and boundary treatment; developed a virtual time-frequency analyzer based on general intrinsic mode signal decomposition to open out the local time-frequency characteristics of nonlinear and nonstationary signal more deeply and accurately.

本项目针对希尔伯特-黄变换现阶段存在问题，从物理内涵的角度提出并建立了瞬时频率严格的唯一的数学模型；基于连续性的一般固有模态信号的概念和实际信号的一般固有模态信号的组成原理，提出并建立了一般固有模态信号严格的数学模型；从理论角度研究并提出HHT中的包络线构造方法，克服了原EMD的包络线构造和边界处理的盲目性和随意性；研发一台基于一般固有模态信号分解的虚拟式时频分析仪，使之可以更深入、准确地揭示非线性非平稳信号的时频局部特征。

This kind of problems can be described by the state-space of Co-semigroup in Hilbert space.

这样的系统可以通过Hilbert空间上的C_0算子半群作状态空间描述。

In Chapter 2,I consider a queuing system in which there are two exponential servers, each having his own queue, and arriving customers will join the two queues separately, and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems. In Chapter 3, I consider the system with two parallel queues, in which arrivals join the shorter queue.I describe the problem of coupling and show that the generating function Fcan be continued as a meromorphic function to the whole complex plane.

全文包括三大部分：第一章介绍了基本的背景、研究进展和文章主要采用的方法；第二章研究的是有两个服务员共享的简单的排队方式的模型，即每个服务员有各自的队列，两队队长互不相关，分析了代表两个队长的二维马尔柯夫过程，推导出了二维过程的平稳分布的母函数的方程，并运用Riemann—Hilbert边值问题理论解出了母函数的表达式；第三章研究的是JSQ-PS模型(the joining the shortest queue model with processor sharing)，模型是组合了加入最短队模型和处理器共享模型而成的有用排队模型。

Based on the fundamental works done by professor Fan Ky, who was the founder of this direction, the present paper introduces the definitions of the class of meromorphic univalent operator-valued functions with positive operator coefficients on Hilbert space and the argument of the operator-valued functions, improves and extends some problems in classical geometry theory of complex functions to the case of operator-valued functions, and studies them respectively.

基于该方向的首倡者Fan Ky教授关于该理论的奠基性工作，本文引入了一类星形算子值函数的定义以及解析算子值函数辐角的定义，将经典的复变函数几何理论中的一些问题推广到了解析算子值函数的情况，并分别进行了讨论。

In fact, Hilbert properly stated in 1990 that the problem of proving or disproving the RH is one of the most important problems confronting 20th century mathematicians. In 2000 Griffiths and Graham pointed out that the RH is the first challenging problem for the 21st century.

事实上，希尔伯特1990年就恰当地提出，证明或否定黎曼假设是挑战20世纪数学家最为重要的问题之一。2000年，格里菲斯与格拉哈姆指出，黎曼假设是21世纪头一个引起挑战性兴趣的问题。

After theoretic analyzing support vector machine technique, the equipollence of support vector classification and regression problems is proofed, and a uniformed expression of support vector machine problem is gotten. The noise stained case is studied emphatically, and the experiment shows that a better result will be obtained by assigning weight factor to fit noise distribute characteristic. A multi-multiplier minimal optimization algorithm for norm-1 problems is deduced, and a kind of improved Gilbert geometric algorithm for norm-2 problems is introduced, which is applied in regression problems successfully.

课题细致深入地讨论和研究了软测量模型的三个基本问题，首先是软测量模型的可实现性，即软测量模型存在唯一解的条件，以及知识利用的度量等一些相关的概念，体现出混合软测量模型在知识利用有效性上的优势；然后对模型不确定性的概念进行了讨论，研究了模型可靠性问题，得出测量精度与软测量模型可靠性之间的关系；最后讨论了软测量模型与传统软测量方法的关系，说明软测量模型是传统软测量方法的发展。

In this paper, we used the regularization method and the best disturbed iteration to solve such more extensive equations: every kind of positive problems and inverse problems of the hyperbolic partial differential equation and parabolic equation. We give homologous methods to solve the positive problems and inverse problems of nonlinear Burgers equation and Boussinesq equation.

本文应用正则化方法和最佳摄动量法，解决了一类更广泛的双曲型和抛物型偏微分方程的各类正问题及反问题，对非线性的Burgers方程及Boussinesq方程的正问题及反问题，也给出了相应的求解方法。

Taiwan problems aren"t the simple channel intercoastal relations problems. The forming and transforming are because of the US"s long intervention. The USs intervention brings mistakenly on the expanding and strengthening the forces of Taiwan independence. So Taiwan problems are also Sino-American relations problems.

台湾问题不是简单的海峡两岸关系问题，它的形成与演变是美国的长期介入造成的，对当今的台湾政局的发展以及台独势力的加强，美国更是难辞其咎，因此台湾问题又是中美关系问题。

It's distinctive look and smarts will keep Lupah in tune with any mood of any moment in any time.

它独特的外观和智慧将在保持Lupah调整与任何情绪在任何时候，任何时刻。

Mark: No, no, I'm not angry.

马克：不，不，我不生气。