查询词典 compatible system of algebraic equations

For overcome nonlinear terms of any degree in the equation, we made a proper transformation according to the structure of the equation at first, make the equations into ordinary differential equation. Then solve the ordinary differential equation exactly, by auxiliary functions method and undetermined the coefficient method and algebraic computer system Mathematica.

为了克服方程中非线性项的任意次幂，我们采用的方法是首先根据方程的特点，做适当的变换，使原问题转化为常微分方程的问题，其次对该常微分方程再进行各类变换，如辅助函数法以及待定系数法……。

The main features of this paper is: nothing to do with the platform, this system can be compatible with the majority of software and hardware used by the platform, as well as various database platform, shielding the differences of hardware and software platform such as network, operating systems, databases, application systems and so on, so that enterprises and institutions could achieve seamless, transparent data exchange through data exchange system; Java technology used to develop the system transplantability; using data exchange center to achieve centralized data processing, different data format conversion, increased system scalability; from data transmission, authentication, access control, encryption and more news content log-class areas enhanced data exchange system security; using DES and RSA algorithm , increased the confidentiality of data transmission; create WrapperTimer category achieved data transmission timing implementation and reduce the dependence on artificial.

设计的系统与平台无关，能兼容企业所用的大多数软硬件平台，以及各种数据库平台，屏蔽网络、操作系统、数据库、应用系统等软硬平台的差异，使企事业单位通过数据交换系统实现无缝的、透明的交换数据；采用数据交换中心来实现数据的集中处理、不同数据格式的转换，增加了系统的可扩展性；从数据传输、身份认证、权限控制、消息内容加密和多级日志等多方面增强数据交换系统的安全性；用DES和RSA算法对XML文件或XML文件中的元素进行加密，增加传输数据的保密性；创建WrapperTimer类实现了数据传输的定时执行，降低了对人工的依赖性。

The deformation compatible equation based on the catenary cable element is derived in chapter 2, and corresponding program is made to solve the accurate distribution of the prestress for cable dome. During the solving, two-nodes bar elements and catenary elements are adopted for the struts and cables of structure respectively. As the cable dome is a kinematically indeterminate system, its solving process is also derived in detail and the equations, which are based on large distortion, are adopted to solve the problem.

第二章推导了基于悬链线解析解的索单元变形协调方程式，并编制了相应计算程序对索穹顶结构精确的预应力分布进行求解，结构分析时压杆采用两节点直线杆单元，索采用悬链线索单元；考虑到索穹顶结构属于动不定结构体系，文中还对动不定体系的求解过程进行了详细的推导，同时采用建立在大变形基础上的变形协调方程来求解结构体系的有限机构位移。

The following exciting results are revealed: 1 When considering the influence of some nonlinear elements such as hard-limit of exciters, the effects of some devices such as Power System Stabilizer and Static Var Compensator which can introduce positive damping in power system, the reasonability of system parameter values in simulation, the SNB surface and HB surface on the boundary of SSSR will turn close to each other and even coalesce together; 2 Under some conditions, coupling between slow exciters and shunt capacitors will bring negative damping in power system dynamics, which increases the possibility of oscillatory instability. So the power system with mass shunt compensators is easily subjected to the oscillatory instability. In recent years, chaotic phenomena of power system have been reported many times. Some simulation studies even found chaos existing inside the power system SSSR. In this dissertation, chaotic phenomena in power systems are thoroughly studied in order to make clear the relation of chaos and SSSR. The following results are derived: 1 Based on Li-Yorke Theorem and their definition on the chaos, the existence of chaos in power system is verified; 2 Three possible routes of causing chaos in power system are found and deeply investigated. They are route of cascading period doubling, route of directly initial energizing and route of torus bifurcation (or quasi-periodicity). The latter two routes are investigated for the first time in power system stability studies; 3 When the stability conditions of chaos are broken, it is found they can lead to voltage collapse, angle divergence, or voltage collapse with angle divergence simultaneously.

针对在电力系统小扰动稳定区域内可能存在混沌吸引域的有关报道，本文深入研究了电力系统混沌现象的出现途径和与系统失稳模式之间的关系：1利用Li-Yorke定理和Li-Yorke的混沌定义，从理论上证明了电力系统混沌现象的存在性；2发现了电力系统中导致混沌出现的三种可能途径：倍周期分岔导致混沌、初始能量直接激发混沌和经由环面分岔导致混沌，并对后两种新发现的途径进行了较为细致的研究；3发现了混沌极限环破裂导致电压崩溃、角度失稳以及电压崩溃和角度失稳同时出现的现象，其中混沌极限环破裂导致系统角度失稳和电压崩溃及角度失稳同时出现的现象均属首次报道；4证明由微分-代数方程描述的系统模型，其小扰动稳定域的边界只包含HB、SNB和SIB三种分岔界面，在SSSR的内部和边界上，均不可能存在会导致混沌的点，从而将混沌现象排除在小扰动稳定域的研究之外，简化了后者的研究工作。

Factory remaining hot water, remaining vapor and boiler heating system, were adopted in tilapia overwintering. Every step, such as site selection, pond and fish preparation, cultivation of fish, fish selection, timing of overwintering, stocking density and managements during overwintering, was compared among three systems. The results of data analysis showed that the survival rate in remaining hot water system was 12% higher than in remaining vapor system and 21.25% higher than in boiler heating system. The overwintering cost in remaining hot water system was 735 Yuan/m~3, which was 18 Yuan lower than in remaining vapor system and 71.4 Yuan lower than in boiler heating system. The profit in remaining hot water system was 201 Yuan/m~3, which was 162 Yuan higher than in remaining vapor system and 275.4 Yuan higher than in boiler heating system.

本论文采取了余热水、余热气、锅炉加温三种方式对进行罗非鱼越冬保种，从地点选择、越冬池、鱼的准备、越冬苗种的培育、越冬前催肥、越冬鱼的选留、越冬鱼进池时间和密度、越冬期间饲养管理等环节进行对比试验获得了三种方式的试验数据并进行了分析讨论，结果显示：余热水越冬雌亲鱼的成活率比余热气越冬高出12％、比锅炉加温越冬高出21.25％；余热水越冬雌亲鱼的成本每立方米为735元比余热气越冬的成本每立方米低18元、比锅炉加温越冬的成本每立方米低71.4元；余热水越冬雌亲鱼的利润每立方米为201元比余热气越冬的利润每立方米高162元、比锅炉加温越冬的利润每立方米高275.4元。

In addition, the membrane polarization time is gained from cell's simplified equivalent circuits and approved by system time constant of the state space equations of cell suspended system. Secondly, Laplace equations of the ideal model are built based on Faraday's Law, Gauss's Law, and charge conservation to analyze and calculate the amplitude and variation of transmembrane potential detailedly.

为了对微生物脉冲电场效应进行理论上的分析，首先，本文从细胞膜的结构、组成及功能入手，建立了微生物细胞的介电模型，求出了细胞膜的介质极化时间常数，并通过系统状态空间方程对其进行了验证。

The different methods for establishing the equations of vehicle-bridge system are summarized and assessed. The vehicle-bridge coupling relationship, including the geometrical compatibility condition and the static equilibrium condition at the interface of wheel/rail, is established. The forces on the vehicles, which coming from bridge deflection and track irregularity, and those on the bridge, which coming from vehicle deflection, are given. Then, the governing equations of vehicle-bridge system are setup.

提出了车桥系统运动方程求解的分离迭代技术和相应的数值解法：对建立车桥系统方程的各种不同方法进行归纳与总结；详细建立了车桥耦合关系，即轮轨接触点处的几何相容条件和静力平衡条件；给出了由于桥梁位移和轨道不平顺而引起的作用在车辆上的轮轨力，以及由于车辆位移引起的作用在桥梁上的轮轨力。

In this paper another deductive proof of the algorithms for the recursive solution of the system of linear equations with a Toeplitz coefficient matrix is considered, and formulas for the specific recursive solution of the various forms of the system of linear equations in accordance with a Toeplitz coefficient matrix are given.

本文给出了具有托布里兹系数矩阵线性方程组递推解法算式的另一推导证明方法，并给出了基于托布里兹系数矩阵的各种线性方程组的具体递推解法公式。

In the method, the equation of vorticity is simplified and combined with the definitions of vorticity and divergence , and then restrained by the equation of continuity to set the system of retrieval equations. Three-dimensional wind vector, vorticity and divergence can be got by solving the system of equations. Preliminary test has proved that it is feasible.

该方法从动力学角度出发，将柱坐标中的垂直涡度方程适当简化后，联系涡度散度的定义式，再以大气连续方程作约束，得到一个反演方程组，求解方程组就可得到不同高度层上的三维风场以及涡度、散度，初步检验证明其是可行的。

In the relative coordinate method, the array of the generalized coordinates of the system is formed by the relative coordinates of all rigid bodies. The principle of virtual power and Newton-Euler equations are applied to the system, and arrive at a set of second order differential equations of the generalized coordinates.

在相对坐标法中，系统的广义坐标列阵由系统中各刚体的相对坐标组成，对系统应用牛顿-欧拉方程和虚功率原理，得到系统广义坐标的二阶微分方程组。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。