数学分析

Based on the science idea of coupling, this paper studied systematically the theory, mathematical model and technology of rock mass hydraulics in coal mining above aquifer, the numerical simulation method, the resemble simulation theory and method. A series of reciprocity law on the stress and displacement of upper and down floor of coal layer, coal pole, fault and the law of water pressure variety was analyzed thoroughly and particularly. Based on the relation of hydraulics character of multi-aquifer, the inspecting and predicting theory model, method and system of water outburst was founded. By used in the colliery, The results were ratified by colliery missionary. In situ test for the hydraulics character of the floor on hydrology observation hole was done.

本文基于固流耦合作用的学术思想，通过理论研究、相似模拟实验、数值分析及现场实际应用，系统研究了带压开采的块裂介质岩体水力学数学模型，数值模拟方法，相似模拟理论与方法，深入细致地分析了带压开采中项底板、煤柱、断层的应力位移分布、含水层水位变化等一系列相互作用规律，并建立了基于多含水层水力联系的底板突水监测预报理论模型及其监测预报方法与系统，并将研究成果应用于现场实际，得到了现场工作人员的一致认可。

In this paper, the theories of generation function and recursive relation in combinatorics is used to analyze the time complexity of some special recursive algorithm, with three conclusions reached simultaneously, which is of valuable reference to the analysis and research on algorithm.

提出了用组合数学中的母函数与递推关系理论来分析一些特殊的递归算法的时间复杂度，并同时得出三个推论，在算法的分析与研究方面具有一定的参考价值。

It is able to initialize parameters; design and save test plan; input, save, reedit and activate test object info; real-time display of mechanics parameters and curves; programming test steps; management and report print of database.

论文以电液比例控制液压万能试验机为具体对象，在详细分析其工艺工况的基础上，给出了系统的物理和数学模型；着重就惯性负载、弹性负载不同的负载特性工况，对位置、变形、试验力控制系统进行了建模，并分析了它们的动静特性，指出影响系统精确性、快速性、稳定性的因素，并提出相应的解决办法；然后，论文推出了以工控机为控制核心的电液比例试验机控制系统；编写了电液比例控制液压万能试验机的部分工业控制软件，通过所编软件可实现：参数的初始化设置，试验材料测试方案的设计与保存，试样信息的录入、保存、修改和激活，力学性能参数和材料特性曲线的实时显示，自动程控方式下的编程，数据库管理和报表打印等功能；整个软件方案设计具有界面友好、操作方便、功能齐全等特点。

In discussing the properties of reflection and refraction of fiber grating, the coupled-mode equation, envelope function, transform matrix formalism, multilayer and optical path approximation are used for describing the linear and nonlinear characteristic of optical fiber grating.

在分析光栅的反射和透射规律时，采用了耦合模式法，包络函数法，转换矩阵法，多层介质薄膜法以及光程法，这些方法虽然具有不同的数学和物理模型，但在分析光纤光栅这一特殊的波导结构时，可充分展现它的线性和非线性特性。

The reluctivity of reactor is controlled by accessional DC current which is got by commutating the net voltage through thyristors. In this system, we control the size of accensional DC current through changing the bust-angle of thyristor.

首先，详细分析了磁控电抗器的电路结构和基本工作原理，阐诉了铁磁材料的磁化特性、磁控电抗器铁芯的动态磁化曲线特性的基础上，给出了磁控电抗器的通用数学模型，并对磁控电抗器各工作状态之间的转换进行了详细地分析。

Then on the basis of experiment, a restoring force model of reversal skeleton curve of SRC wall was built, and this model can be used in nonlinear seismic analysis of SRC structures.

在试验的基础上，本文建立了型钢混凝土剪力墙恢复力骨架曲线的数学模型，为分析高层结构的非线性地震反应分析提供了基础数据。

It also presents the basic GA theory, water distribution system's mathematical modeling, one king and many queens genetic inheritance method, genetic saltation theory and some of the C++ source codes.

进而对遗传算法的基本原理、给水管网现状分析数学模型的建立及求解、一王数后的基因遗传方法和基因突变方法进行了分析，并给出实现这一方法的C语言核心代码。

The simulation job of saturator is performed based on the founded model, in which the difference between Lewis factor and Lewis number and also the impact of the Lewis factor value on simulation results is discussed in details.

根据饱和器数学模型，运用数值方法模拟和分析了饱和器的工作特性，重点讨论了Lewis因子和Lewis数之间的关系，并分析了Lewis因子的取值对模拟结果的影响。

To compare the performance of self-centering suspension with that of manual-centering suspension,based on the simulating tool of Matlab/SimMechanics,the time and frequency domain analytical methods were adopted to modeling,simul...

为比较手动调中悬架与自动调中悬架的性能差异，基于Matlab/SimMechanics机构仿真工具，在扫频和定频激励下采用时域和频域分析法，对2种悬架进行了数学建模和仿真分析，初步得出了自动调中悬架的主要特性。

The description of network delays including characteristics and effects are also covered and the uniformed mathematic models for NCSs with four different structures are derived. Furthermore, the controller basing on state prediction and compensating time delay is designed. Sufficient and necessary stability conditions for systems with different transmission policies such as perfect transmissions, delayed transmissions and time-varying transmissions are obtained as simple eigenvalue tests of certain test matrices. And in the end, effects of model error over maximum communication interval are analyzed. Numerical examples show the feasibility and efficiency of the proposed methods.

首先介绍了网络控制系统中数据包的传输情况以及基于模型结构方法的基本思想，并针对四种不同拓扑结构的控制网络分析了网络时延的性能，进而给出了统一的数学模型；然后，提出了基于状态预测的具有时延补偿功能的状态反馈控制器的设计方法，并针对完美传输、延时传输及时变传输三种数据传输策略，分别研究了控制系统的稳定性问题；最后分析了模型误差对最大通讯间隔的影响；仿真结果表明了设计及控制方法的正确性和有效性。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。