查询词典 bounded

This paper mainly studies a type of subdivision scheme that defined on a bounded interval and the matching scale function and wavelet.

本篇论文主要研究一类有界区间上的细分格式以及相应的尺度函数和小波。

In our thesis, contents are organized as following In Chapter 1 we present our topic's internal and overseas research situations, theoretical and practical significance, and introduce the research object and contents, and the main contributions of this dissertation. Chapter 2 reviews the development of the stability results for nonlinear systems and some relevant recent results, which include Lyapunov and LaSalle-Yoshizawa theorems for nonlinear systems, and stochastic edition for stochastic nonlinear systems. Sontag's formula for systems affine in control is presented in the frame of CLF. The concepts of disturbance attenuation and the inverse optimality are also explained in this Chapter. In chapter 3 we present the solvable theorem of inverse optimal gain assignment problem, design the inverse optimal controller and the inverse optimal tracking controller for strict-feedback nonlinear continuous systems with unknown time-varing bounded disturbances and constant unknown parameters using an adaptive backstepping algorithm, which are nonlinear, continuous and are easier to realize. These designs are fully systematic and the algorithm can be directly coded in symbolic software. The results of simulation show the effectiveness of the control algorithms.

论文的结构如下：在第1章中，给出了本文研究课题的研究现状、理论意义和实际应用，并介绍了本文的研究对象、研究内容以及主要贡献；在第2章中，针对确定性非线性系统和随机非线性系统，分别介绍了Lyapunov定理、LaSalle-Yoshizawa定理及其随机版本；对仿射系统，在控制Lyapunov函数框架下，给出了Sontag公式；同时给出了非线性系统扰动抑制和逆最优控制问题的基本概念；在第3章中，针对具有未知时变有界扰动和未知定常参数的一类不确定非线性系统，给出并证明了逆最优增益配置可解定理，使用自适应Backstepping算法和均值定理，系统地设计了自适应逆最优控制器和逆最优跟踪器，这种设计方法可同时获得逆最优控制策略和自适应律，简单明了，仿真结果表明该控制算法的有效性，并给出了性能估计。

In this paper we consider three inverse boundary value problems: the high-dimensional Helmholtz equation and backward heat conduction problems on the bounded region and on the cylindrical region.

本文主要研究高维Helmholtz方程Cauchy问题和有界区域，柱形区域上的反向热传导问题这三类逆边值问题。

We also show that neither the strictly convex adjustment costs not the irreversibility of investment are needed for bounded investment.

并且，对于边界情形的投资而言，无论是严格凸的调整成本还是投资行为不可逆都是不需要的。

Based on the composite bounded reservoir model with two porous media, the Laplace solution of dimensionless pressure distribution under inner boundary condition (considering the wellbore storage and the skin effect) has been studied, and through analyzing the structures and interrelations of Laplace solution, the correlations with usual composite, two porous media and homogeneous reservoir pressure distribution have been found.

针对双孔介质复合封闭储层模型，研究了两种内边界条件(是否考虑井筒储存和表皮效应)下的变流率问题的无因次内、外区储层压力分布的Laplace空间解，在深入剖析了解的结构和相互联系的基础上，找出了它与常见的复合、双孔、均质储层压力分布间的相互关系。

Based on the first linearized Boussinesq equation, analytical solution of the transient groundwater model, which is used for describing phreatic flow in a semi-infinite aquifer bounded by a linear stream and subjected to time-dependent vertical seepage, is derived out by Laplace transform and the convolution integral.

在河渠边界控制下的半无限含水层中，对时变垂向入渗影响下的潜水非稳定渗流模型，利用Boussinesq第一线性化方法，通过Laplace变换并结合卷积原理，导出模型的解析解。

This paper establishes mathematical models of unsteady and Non-Darcy low speed flow through the porous media and the double porous medium, and has obtained their solutions in an infinite reservoir through Laplace transformation, and their long time asymptotic solutions has been worked out, solutions on a bounded reservoir has also obtained through finite integral transformation and Laplace transformation.

从现场上各种水淹的实际资料来看，同一水动力的非均质油层系统中，渗透率相对较高的部分水洗之后，渗透率相对较低部分的油层却可以原封不动。而且，其渗透率可达达西级，含油饱和度可达80％以上。相对流动比(即同一水动力的非均质油层系统中，小层平均渗透率的最大值与其中不流动部分的小层平均渗透率的最大值相比)的比值在各种油层的生产实例中十分相近。一般的分布范围为3—7，常见的为4—6。实验室结果和生产实践基本相同。简单的注水和压裂对这一比值几乎无影响。

The main topics are: set theory foundation, Lebesgue measure and Lebesgue integral, basic theories on linear normed spaces and Hilbert spaces and introduction to linear bounded operators.

本课程基本内容包括集合论基础、Lebesgue测度与Lebesgue积分、线性赋范空间与Albert空间的基本理论和有界线性算子简介。

By means of the C0 - semigroup theory of bounded linear operators in functional analysis we prove that thissystem has a unique nonnegative solution.

以往大多数文献都讨论维修系统的稳态解的情况，本文利用泛函分析中算子半群的方法研究了这类数学模型的非负动态解的存在唯一性。第三部分对积分半群和余弦算子族解析性的讨论。

On the basis of this, we estaiblish a theory of the space of bounded linear operators on F* spaces.

在此基础上，建立F~*空间上有界线性算子空间的理论。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。