查询词典 mathematical analysis

Taylor Formula is a very important content of mathematical analysis, it can intensively embody the soul of "approximation" of calculus, and it is extensively applied in the theoretical analysis and practical application.

泰勒公式是数学分析中的重要内容，集中体现了微积分中"逼近法"的思想，在理论分析和实际应用中经常涉及。

Referring to HMIS public data coding criterion, parts coding management module was designed and established, and parts coding automatic generation function was realized. According to the data collection methods in the reliability theory, maintenance record collection principle was determined, and maintenance record management module was established. Then, by using reliability theory and mathematical statistics method, data statistic analysis and malfunction analysis modules were established, and components failure data statistics, choosing of life distribution law, and predicting of maintenance period were realized.

参照HMIS公用数据编码规范，设计并建立了零件编码管理模块，实现零件编码自动生成功能；根据可靠性理论中数据的收集方法，确定了维修记录收集原则，建立了维修记录管理模块；继而，利用可靠性理论及数理统计方法中对数据的统计分析，建立了数据统计分析、故障分析模块，实现了对零部件故障数据的统计、寿命分布规律的选择及对维修周期的预测。

Based on the analysis of the mechanism of robot manipulators, a trajectory tracking controlling research model is first built up with ADAMS, and its mathematical model is formulated through the study of robot kinematics and dynamics. After the modeling errors are analyzed in practical robotic systems, a conception of centralized error is brought forward according to the theory of weighting functions. In the case of modeling errors' exist, the robotic uncertain model is derived by introducing an auxiliary control variable into inverse dynamic analysis. The control strategy of robust exponential convergence is applied to the robotic uncertain model, the applicable conditions and the applicable controller with this application are presented. The stable control effect under three main model uncertainties (parametric errors, joint disturbs, joint frictions) are systematically studied on the previously built research model. The problems of robust exponential convergence controller which often results in unstable output and so produces a large relative error when the input trajectory is in a small range are resolved by adjusting the control parameters based on the controller's structure.

本文在机械手的机械结构分析基础上，利用ADAMS建立了用于机械手轨线跟踪控制研究的机械手模型；通过对机器人运动学和动力学问题的研究，建立了机械手研究的数学模型；分析了机器人系统中模型误差的主要来源，根据加权函数法分析，提出了模型集中误差的概念；在存有模型误差的情况下，采用逆动力学结构并引入辅助控制量，由机器人误差模型推导了机器人非确定性模型；提出了采用鲁棒指数收敛法对上述机器人非确定性模型进行鲁棒镇定的控制策略，并给出了对机器人进行鲁棒指数收敛控制时系统不确定因素应满足的匹配条件；针对机械手研究模型，深入研究了鲁棒指数收敛控制器对机器人系统中常见的模型参数误差、关节扰动、关节摩擦等不确定因素的镇定控制效果；针对鲁棒指数收敛控制器易产生控制量振荡的问题以及在小范围内系统轨线跟踪的稳态误差过大问题，本文分别提出了基于控制器结构的控制参数调整法和基于轨线跟踪范围大小的控制参数分段切换法。

At first, according to the mechanical vibrationtheory and detailed analysis on coiling the different stage mathematical models of coiling are set-up. The correlation equations of the models are also given. Then, the paper presents an analysis ofthe moment of inertia of coiler in hot strip mill in detail, the equation of the inertia moment and theanalysis.

本课题首先从振动理论出发，对卷取的整个过程做了详尽的动力学分析，建立了不同卷取阶段的数学模型；接着分析了卷筒的惯性力矩，建立了卷筒张力控制的数学模型，推导了惯性力矩的理论表达式。

This paper introduces the research results of techniques of testing PC pump oil well through one-year efforts. Which covers the mathematical models of a number of force characteristics strength analysis, and resonance critical problems of rotation rod-string in PC pump wells: resulting of testing method of polish-rod load and rotation rate on the basis of feasible demonstration and technical requirement analysis; study and manufacture of system of testing PC pump well, which involves sensor, collector ring, acquisition circuit and computer; research and determination of assistant technology of testing force on rotation polish-rod and formulation of testing force on polish-rod. A spot testing has been carried out by means of the above research fruit and good results have been achieved.The success testing results in has laid a strong foundation for the oil well diagnosis.

本论文介绍了对螺杆泵采油井的研究成果，其内容包括，对螺杆泵采油井中的旋转杆柱的若干受力特征、强度分析方法及共振临界问题进行数学建模；在可行性论证和技术需求分析的基础上，研究产生了对油井进行光杆负载和旋转速度测试的办法；研究制作了螺杆泵采油井测试系统，它包括传感器、集流环、采集电路和计算机等；研究确定了对实施旋转光杆测力的辅助工艺；制定了对光杆受力进行测试作法，利用以上研究成果实施了现场测试，并取得了理想的结果。

Relation between geometrical contour error of inner corner and machining condition is investigated by the experimental plan of Taguchi quality design. Through the quantitative analysis, the geometrical contour error is mainly affected by wire tension and flushing pressure. By regression analysis, a mathematical model is established to estimate cutting path error of corner cutting. According to the estimated cutting path error, the program path is corrected.

研究首先以田口式品质设计实验计画法来探讨加工参数与隅角形状误差间的关系，从变异数分析的结果得知，线张力与冲水压力是对於隅角精度影响最显著因子，应用回归分析建立转角加工路径误差量估测模式，利用此模式以预测不同加工条件下隅角加工路径误差量，依据预测加工路径误差量计算轨迹补偿量，实验结果证明本文所提出轨迹补偿策略可有效提高60%之隅角加工精度。

What this paper finished mainly work as follows: Five-phase hybrid step motor driver system with fixed-chopping frequency and constant total current driving is fully described. Mathematical model of the system, included the current control circuit, power driving circuit and five-phase hybrid stepping motor is established. The steady modeling of the system is established and studied. Based on the steady modeling of the system, dynamic modeling of the system is studied and single step response characteristic is constructed with MATLAB/Simulink. The simulation results, which is certified by the theory analysis, coincide with the theory analysis.

本文主要完成的工作包括几个方面：对五相混合式步进电动机恒频斩波恒总流驱动系统进行了完整的描述；建立了包括电流控制电路、功率驱动电路以及五相混合式步进电动机在内的恒频斩波恒总流驱动系统的完整的数学模型；基于MATLAB/Simulink建立了恒频斩波恒总流驱动系统稳态仿真模型，并进行了仿真；在建立其稳态仿真模型的基础上，对动态模型进行研究，并借助于MATLAB/Simulink工具建立了恒频斩波恒总流驱动系统单步响应特性的仿真模型并对其单步响应特性进行了仿真研究，仿真结果与理论分析相符。

The following points are emphasized:The operation models of adiabatic and diabatic distillation have been set up and the operation block, thermodynamics model and mathematical model in the simulation have been determined as well;(2)Based on the simulation and exergy analysis with Aspen Plus program, shortcut distillation design—DSTWU model and rigorous distillation design—RADFRAC model, the author has determined the heat duty, exergy losses and the distribution of exergy losses along the adiabatic column, which will help the simulation and optimization of the diabatic distillation;(3)Diabatic distillation under various operation conditions has been simulated by using energy balance method and exergy analysis;(4)How the different mixture and the various degree of separation, number of trays and feed location influence exergy saving in diabatic distillation have also been discussed;(5)On the basis of the total exergy losses along the column, different schema of the heat transfer distribution along the column have been compared and analyzed;they can be classified in three categories: heat duty equipartition approach, empirical approach, separation degree matching approach. In conclusion, different heat transfer distribution along the column will have effect on total exergy losses. In particular, most satisfactory results have been obtained by using separation degree matching approach. In order to diminish the exergy losses, heat transfer distribution should meet the needs of the request of separation degree.And on this premise, the author makes his suggestion in increasing the proportion of heat supplied to the tray with minimum exergy losses and decreasing the proportion of heat supplied to the tray with the maximum exergy losses.

本文对透热精馏过程进行了模拟并对其节能效果的影响因素做了较为全面的分析和深入的研究，主要研究内容如下：(1)建立了常规精馏和透热精馏过程的模拟操作模块、热力学模型以及数学模型；(2)利用化工模拟软件Aspen Plus并分别采用DSTWU简捷模型和RADFRAC严格计算模型对常规精馏进行模拟计算和有效能分析，确定常规精馏塔的公用工程热负荷、有效能损失及有效能损失在塔内的分布，为透热精馏的模拟和优化提供数据参考；(3)对不同物系在不同分离度条件下进行透热精馏的模拟，分别采用能量衡算法和有效能分析法进行计算和分析；(4)探讨了各种因素如物系的选择、不同分离度、塔板数、进料位置对透热精馏节能效果的影响；(5)以全塔总有效能损失为比较基准，对热量在塔内的三种分布方案即热负荷平均分配法、经验法和分离度匹配法进行了对比分析并得出结论：塔内热量的不同分布方案对于全塔总有效能损失会产生影响，其中以分离度匹配法的节能效果最为理想，为减少有效能的损失，应使塔内的热量分布满足各塔板的分离度要求，并在此前提下，尽量减小有效能损失大的塔板的热负荷和增加有效能损失小的塔板的热负荷。

According to the deficiency of event tree analysis in safety evaluation,this paper introduces a dynamic event tree analysis method and the mathematical description is given as well.

针对传统的事件树分析方法在安全性评估中的局限性，在动态事件树分析方法的基础上，给出了其数学描述，并将其应用于导弹安全自毁系统安全性评估中，以描述导弹安全自毁过程中的动态特性。

This paper proposed a mathematical model of factor analysis, and analysis of some of his properties.

翻译一个东西：本文第一提出因子分析的数学模型，并且分析了他的一些性质。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。