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And then the sliding mode motion characteristic was analyzed by using (nth- dimension space) analytic geometry and variable structure control theories.

即使某些变结构控制系统理论上可以求得解析解，实际求解过程也相当烦琐和困难。

When us a domain name is new and analytic go up to new space, all alone Link inputs above engine in search: Www.nongyao168.com inquiry, the retrorse link that can discover this domain name still keeps changeless, these data will be saved all the time update greatly next time till search engine.

当我们把域名重新解析到新的空间上，在搜索引擎上面输入link：www.nongyao168.com查询，会发现该域名的反向链接仍然保持不变，这些数据将一直保存直到搜索引擎下次大更新。

Aiming at the chaos complexity activities which may occur during the evolution process of mining area ecosystem, we emphatically analyze the application of associated dimention judgment method and Lyapunov factor analytic approach based on phase space restructuring technique. We can ascertain whether mining area ecosystem have chaos characteristic or not according to these methods. It has important theory value for complexity research of mining area ecosystem.

其次，针对矿区生态系统演变过程中可能出现的混沌复杂行为，基于相空间重构技术我们重点分析了关联维数判断法和Lyapunov指数分析法的应用，依据这些方法，我们可以定量的判断矿区生态系统是否具有混沌特性，这对于我们进行矿区生态系统的复杂性研究具有重要的理论价值。

The research fields are calculus of single variables functions and several variables functions, space analytic geometry, series, differential equation.

通过本课程的学习，使学生掌握一元函数微积分、向量代数和空间解析几何、多元函数微积分、无究级数、常微分方程等方面的基本概念、基本理论和基本运算技能，为学习后继课程和进一步获得数学知识奠定必要的数学基础。

Comparing the advantages and disadvantages between computer drafting and manual drafting, as well as the drafting of some common figures of curre and curred surface are by three common diagrams of space analytic geometry in advanced mathematics for the purpose of more accurate and perfect drafting.

用高等数学教科书中空间解析几何3个常用图例对计算机与手工绘图的优劣进行比较，并论述了如何用计算机绘制空间解析几何中一些常用曲面及曲线图形，从而使图形更精确、完善的问题。

Comprehensively making use of the basic theory, such as Space Analytic Geometry, Gear Meshing Engagement Theory, Method of Mathematical Calculation, Theory for Error Analyzing and Data Processing, the author has established the mathematical models of the new method, which has included the analytic mathematical model for precision orientation, the mathematical model for the ball's diameter and the measuring diameter, the mathematical model about the ball's centre, the calculation model for tooth alignment diviations and the model for tooth alignment error evaluation.

本文综合应用空间解析几何学、啮合原理、计算方法、误差理论与数据处理等有关基础理论，推导建立了新方法的数学模型，包括：确定定位关系的解析法数学模型，测球直径与测量半径的数学模型，测球球心的数学模型，齿向偏差的计算模型以及齿向误差的评定数学模型等。

The conception of'physical wavelets'was first introduced by Gerald Kaiser, who had expended real signal to complex Hilbert space by analytic signal transform.

Gerald Kaiser首度提出了"物理小波"的概念，并通过解析信号变换将这一概念拓展到Hilbert空间。

Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有：函数与极限，导数与微分，中值定理与导数应用，不定积分，定积分及其应用，空间解析几何与矢量代数，多元函数的微分法及其应用，重积分与曲线积分，无穷级数，微分方程等。

This paper analyzed thoroughly the transient electromagnetic field analytic expression in homogeneous half space, discovered that the transient response curve has a characteristic of translational expansion and contraction with the underground conductivity, transmit loop length and observation time. According to that, we proposed a new direct method to calculate full time domain apparent resistivity.

深入分析了均匀半空间中瞬变电磁场的解析表达式，发现瞬变响应曲线随地下电导率、发射回线边长与观测时间具有平移伸缩特性，并据此提出了一种新的直接计算全区视电阻率的方法。

In the paper, the logarithmic transformation for the analytic solution on the space-time change of the tracer concentration during the instantaneous injection and the process of the one dimensional steady flow field and two-dimensional unsteady hydrodynamic dispersion is performed, and the linear equations have been obtained.

该文将描述瞬时投放示踪剂、一维稳定流场二维非稳定水动力弥散过程中的示踪剂浓度在时空上变化的解析解进行了对数变换，得到一直线方程。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。