查询词典 structure equations

This course consists of three parts : A.The fundamental theory of gyroscopes. a.Kinematics and dynamics of gyroscopes, consisting of Coriolis acceleration, theorem of angular momentum, Euler's dynamical equations, dynamical explanation of gyroscopes' properties. b.Gyroscopes' motion equations, including the complete equations, technical equations and precession equations derived from Euler's dynamical equations, and the technical equations derived from static vs. dynamic method. c.Analysis of gyroscopes' motion. d.Coordinate systems and their mutual transformation. e.Gyroscope drift and its measurement. B.Principle of typical gyroscope instruments, such as gyro compass, gyro north finder, gyro horizon, platform compass, rate gyroscope and integrating gyroscope. C.Principles and applications of new-type gyroscpes, such as electrically suspended gyro, ring laser gyroscope, fiber optical gyroscope, hemispherical resonator gyro, dynamically tuned gyroscope and micro inertial sensors.

本课程教学内容由三部分组成：陀螺仪的基本理论，内容包括：陀螺力学基础（哥氏加速度、角动量定理和欧拉动力学方程、陀螺特性的力学解释）；陀螺仪运动方程和运动分析（用欧拉动力学方程建立完整方程、陀螺仪运动的技术方程和进动方程，用动静法建立技术方程）；坐标系及其变换；陀螺仪的漂移及其测试；典型陀螺仪器（包括陀螺罗经、陀螺找北仪、陀螺地平仪、平台罗经、速率陀螺仪和积分陀螺仪等）的工作原理；新型陀螺仪（包括静电陀螺仪、激光陀螺仪、光纤陀螺仪、半球谐振陀螺仪、挠性陀螺仪、微机械陀螺仪等）的原理及应用。

The topics to be covered in the course are Integration and Economics Applications, Linear, First-Order Difference Equations, Nonlinear First-Order Difference Equations, Linear Second-Order Difference Equations, Linear First-Order Differential Equations, Nonlinear First-Order Differential Equations, Linear Second-Order Differential Equations, Simultaneous Systems of Differential and Difference Equations, and Optimal Control Theory.

讲授内容包括积分与经济的应用、线性一阶差分方程式、非线性一阶差分方程式、线性二阶差分方程式、线性一阶微分方程式、非线性一阶微分方程式、线性二阶微分方程式、差分与微分的联立方程式、最适控制理论。

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

Any high Re number flow over bodies consists of three basic flows: the flow with convection-dominant in all spatial directions, the flow with convection-diffusion competition in all directions and the flow with convection-dominant in part directions and convection-diffusion competition in part directions, which is called the interacting shear flow; the features of the three basic flows are different; their simplest conservation equations, i.e. the Euler equations, Navier-Stokes equations and diffusion parabolized NS equations, have different mathematical characteristics; there is a great disparity in domains of the three basic flows and the domains of NS equations are very small. Therefore, adopting Euler-DPNS-NS equation system to analyze and compute high Re number flows over bodies is a logical approach. There exists a mutual examined-complemented relationship of this approach with the usual one of adopting only NS equations.

主要内容如下：（1）高Re数绕流包含3种基本流动：所有方向对流占优流动、所有方向对流扩散竞争流动和部分方向对流占优部分方向对流扩散竞争流动，3个基本流动的特征彼此不同且在流场中所占领域大小彼此相差悬殊，NS方程区域很小，它们的最简单控制方程组Euler、Navier-Stokes和扩散抛物化NS方程组的数学性质彼此不同，因此利用Euler-DPNS-NS方程组体系分析计算高Re数绕流流动就是一个合乎逻辑的选择，该法与利用单一NS方程组的常用方法可以彼此检验和补充。

The main contents of this course include: the elementary solution of first order differential equations, the theory of existence, uniqueness and continuity dependency of initial value problem of first order differential equations, the structure theory of higher order linear differential equation and the solution of constant coefficient equations, the structure theory of system of linear equations, basic solution matrix and the solution of system of constant coefficient equations.

本课程内容有：一阶微分方程初等解法，一阶微分方程初值问题的存在性、唯一性、连续依赖性理论，高阶线性微分方程解的结构理论和常系数方程解法，线性方程组的结构理论、基解矩阵和常系数方程组的解法。

Since the different dynamics methods such as Newton-Euler method, Lagrange's equations and other methods can be used to develop the dynamic equations of global system, the two different forms of the dynamic equations are ordinary differential equations and differential algebra equations.

通过结合有限段法和多体系统动力学离散时间传递矩阵法，形成了非线性梁有限段离散时间传递矩阵法，该方法保留了有限段法适用于几何非线性大变形分析、自动考虑动力刚度项等优势，又保留了DT-TMM-MS建模方便灵活的特点。

The paper consists of four chapters:In chaper 1, we introduce the background and signficance, research and actuality on oscillation of functional partial differential equations; we present research subject in this paper;In chaper 2, we discuss oscillatory property of systems of parabolic differential equations with delays and obtain necessary and sufficient conditions for the oscillation of their solutions; we show the difference between oscillatory property of systems of parabolic differential equations with delays and that of systems of partial differential equtions without delays; we explain the main results with examples;In chapter 3, we discuss oscillatory property of systems of functional parabolic differential equations of neutral type; we obtain some sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples;In chapter 4, we discuss oscillatory property of systems of functional hyperbolic differential equations of neutral type; we obtain sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples.

全文共分四章：第一章简要介绍了泛函偏微分方程的振动的背景和意义、对其研究的简单历史和现状，给出了本文的主要研究对象；第二章讨论了一类时滞抛物方程组解的振动性质，获得了判断其所有解振动的一个易于验证的充要条件；指出了这类具有时滞偏差变元的抛物方程组解的振动性质和不具有时滞偏差变元的抛物方程组解的振动性质的差异；并举例对主要结果进行阐明；第三章讨论了一类中立型抛物方程组解的振动性质，获得了在给定的条件下其所有解振动或全振动的若干充分条件；并举例对主要结果进行阐明；第四章讨论了一类中立型双曲方程组解的振动性质，获得了在给定的条件下其所有解振动或全振动的若干充分条件；并举例对主要结果进行阐明。

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非专业，不在行，求高手帮忙。谢谢！具有顶部及底部侧电连接的晶片级集成电路封装导线架结构及其构成的表面黏着型半导体封装结构多层印刷电路板反熔丝及其形成方法和具有该反熔丝的非易失性存储器件的单位单元串联用电式信号处理电路及电子装置发光二极管的封装结构及其封装方法电子封装结构高速光电组件及其芯片倒装结构双压电体并排推动的三摩擦力步进器与扫描探针显微镜发光二极管及其制作方法、发光二极管的底座的制作方法三或四压电体并行推进的步进器及其扫描探针显微镜镜体硅衬底及其制造方法半导体装置与分压电路具多晶硅层及微晶硅层的双底材主动层结构、方法及装置硅晶片的受控边缘厚度一种半导体横向器件和高压器件具有垂直沟道晶体管的半导体器件一种记忆体阵列及其用于制造一记忆体阵列的方法只读内存单元阵列结构有源矩阵基板和显示装置高耐压半导体集成电路装置、电介质分离型半导体装置图像感测装置透镜模块及其制造方法固态成像装置和照相机用于沟道隔离的斜角注入有机电致发光显示装置有机发光显示装置双极晶体管的表面钝化结构双触发型可控硅整流器异质结场效应晶体管金属氧化物半导体晶体管自对准沟槽累加模式场效应晶体管结构薄膜晶体管及显示器件薄膜晶体管无铅二极管低频、低噪音、低闪烁的二极管用于薄膜太阳电池的陷光结构透明遮阳太阳能电池片四元半导体的异质结热光伏电池硅基纳米柱阵列异质结薄膜太阳能电池氮化镓太阳能同位素复合型微电池光学传感器半导体受光元件成像探测器透明导电氧化物涂层硅基高效双结太阳能电池薄膜太阳能电池异形LED器件

The first part is preface, on the basis of expounding the background, the purpose, the meaning and the thinking of the thesis study, briefly introduce the research achievements of domestic and international urban spatial structure; the second part is summary, expatiate on the connotation, component, research span and space type of urban spatial structure; The third part is theory foundation, mainly introduce the three classical models of city spatial structure in the west country (concentric circles mode, fan-shaped mode and multi-core mode) and the relative city development theories (growth pole theory, dot-axis theory, core-fringe theory, metropolis circle theory and city space evolution theory); The fourth part is general situations of study region; The fifth part is the analysis of Lanzhou city spatial structure evolution, along the historical venation Of city development, on the basis of analyzing industrial structure change, focus on and sumup the characteristics of spatial development and form, meanwhile, analyze factors which influences the spatial development; The sixth part is the analysis of Lanzhou city spatial development trend, put forward the development models of Lanzhou city spatial structure from three space aspects(the core city, the city, region) in the future, they are group gobbet structure, fingers structure, circle structure; The seventh part is to mainly put forward the development strategies for the different spatial structure models.

第一部分为前言，在阐明论文研究背景、目的及意义、思路的基础上，简要介绍了国内外城市空间结构相关研究成果；第二部分为概述，对城市空间结构的内涵、组成要素、研究尺度及其空间类型作以介绍；第三部分为理论基础，主要是对西方城市空间结构的3大经典模型(同心圆模式、扇形模式和多核心模式)以及与本研究相关的城市空间发展理论(增长极理论、点轴理论、核心——边缘理论、都市圈理论和城市空间演化理论)的介绍；第四部分为研究区概况，主要是对研究区域范围的界定及其社会经济发展概况介绍；第五部分是兰州城市空间结构演化分析，顺着兰州城市发展的历史脉络，在分析产业结构变动的基础上，着重对城市空间发展及其形态特征进行归纳总结，并分析了空间发展的主要影响因素；第六部分是兰州城市空间发展趋势分析，从中心城市、市域、区域3个空间层面上提出未来兰州城市空间结构的不同模式，即组团结构、指状结构、圈层结构；第七部分是城市空间发展策略，针对不同的城市空间发展模式提出一些对策建议。

Engineering geological structure classification is divided into macro-, fine-, and microstructure. Macro-structures include alluvium predominated structure, multiple-binary-rhythm structure, thick boulder and gravel structure, saccate buried valley structure and tremendous composite structure, fine structures homogeneous structure, stuffed structure, porphyro-structure, and space frame structure, microstructures cemented, semi-cemented and loose texture.

利用第四纪构造与气候环境演变控制论的观点，在成因分类的基础上，对覆盖层进行了结构工程分类，按沉积相的不同组合特点分为冲积为主的结构、多重二元韵律结构、厚层漂卵石层结构、囊状槽谷结构、巨厚复合加积结构等五种类型；按颗粒组成和结合状态，分为均匀型、充填接触型、斑状型和架空型四种细观结构；按胶结成岩状态分为胶结、半胶结和松散三种微观结构。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。