数学分析

The basic equations of centrifugal pump on steady and unsteady process were educed based on theory of momentum and moment in order to analyze the transient hydrodynamic performance of centrifugal pump. The equations were used to describe the influence of accelerating rotation of impeller and accelerating motion of fluid on hydrodynamic performance.

为了对离心泵快速开启过程的瞬态效应进行分析，根据动量矩定理分别推导转速稳定和不稳定时的离心式水泵基本方程式，给出了叶轮旋转加速和流体加速对性能影响的数学描述方程，为进一步理论分析和数值计算打下基础，并结合一台快速启动的混流泵进行实例分析。

The numerical experiment is done by using finite element analysis. The dynamic responses are simulated for of integrate anchorage system and anchorage systems with different defects through 1-D and axis symmetry numerical calculate.

通过分析，锚杆—围岩结构系统的数值模拟解和试验结果都可用本文所建立的数学力学模型的分析解来拟合，这从参数反演角度进一步证明了所建立的模型是科学合理的，其分析求解方法是正确的。

To prepare studying hierarchical intelligent control system of material flows in mineral processing plant further, picturing, transition rulers, analytic methods, relevance matrix and dynamic equation, defect in applying of Petri network, fall short of orient object models applying are discussed after technology of formalization model built, non-formalization built and compound model. And Petri network system with time attribute is expanded opening network system with interface of input and output. The network system expanded with all attributes of basic Petri network model has hierarchy and recursiveness, can be analyzed with mathematical tools of network system and can deal with concurrent and asynchronously also.

为了对选矿厂生产物流递阶智能控制系统的进一步研究奠定基础，本文在讨论了形式化建模技术、非形式化建模技术和复合模型的基础上，研究和分析了Petri网的图形表示、变迁规则、分析方法、关联矩阵与动态方程、Petri网模型应用中的缺陷、面向对象模型应用中的不足，并把采用赋时的Petri网系统扩展成为对外界有输入和输出接口的开放网系统，扩展后的Petri网具有递阶性和递归性，同时保持基本Petri网的所有性质，使模型仍可采用网系统数学工具进行分析，并可处理生产物流系统中的并发性和异步性。

After binarization and the adoption of multiple indexes evaluation function for color reverse, characters are segmented on the basis of connected component analysis.

摘 要：通过对连续视频流分析的方法判断并捕获车牌图像帧；基于数学形态学方法和边缘特征分析来进行车牌定位，进行二值化、引入多指标联合评价函数判断反色等处理；最后基于连通体分析的方法切分字符。

Three aspects have been studied theoretically in this paper which were based on an analysis of a compliant multleaf journal self-acting air bearing, which are as follows:(1) A set of theoretical analysis method which include the development of .physical and mathematical model, the solution of governing equations and theprediction of static and dynamic performance of the foil gas bearing is proposed.

本文在分析悬臂型弹性箔片径向动压气体轴承工作原理的基础上，做了以下几个方面的工作：(1)建立了悬臂型弹性箔片径向动压气体轴承的物理和数学模型，确立并求解了控制方程，得到了静、动态性能的稳定性分析方法，为数值分析悬臂型弹性箔片径向动压气体轴承奠定了基础。

Besides, fuzzy complex analysis is also an interesting part of fuzzy analysis and it includes to consider the limit of complex fuzzy functions, and to introduce the semicontinuity of complex fuzzy functions.

此外，模糊复分析也是模糊分析学的一个有趣部分，是复分析理论在模糊数学中的推广和延伸，它包括复模糊函数的极限问题以及复模糊函数的半连续问题等等。

On the basis of analyzing characteristics of double-acting hydraulic hammers, single-acting hydraulic hammers and HHKA hydraulic hammers, this paper founds their mathematics models and makes computer programs to simulate the working process. The simulated result is verified with the tested date.

分析双作用液压锤、单作用液压锤和HHKA型液压锤工作过程中的运动特性和动态特性，建立描述液压锤工作过程的数学模型，编写计算机程序进行计算机仿真，得出液压锤工作过程中运动特性和动态特性的变化规律，并将仿真结果与试验数据分析比较，验证分析方法的正确性。

According to the identification of fossil woods, it shows that they all belong to Araucarioxylon, with the stage age of Qixia, though there are some anatomical differences among them; Following two mathematical clustering analysis methods-analysis of variance and CSDM curve, metrical numerical values are quantitatively analysed, then, skew value of curve and its relationship with leaf longevity are showed.

经过鉴定研究认为，本区的木化石均属于松柏类中的南洋杉型木属，为栖霞阶化石；应用方差分析、CSDM曲线相关分析等数学聚类分析方法，对木化石标本的测量数据进行了定量分析研究，探讨了曲线偏差值与叶寿命的关系，认为本区二叠纪木化石均为常绿树种-南洋杉型木，但有可能存在落叶树种，且生长年限有较大差异。

The mathematical methods to calculate the theoretical models of satellite magnetic anomalies, spherical harmonic analysis, spherical cap harmonic analysis, rectangular harmonic analysis and equivalent source method, were introduced in this paper.

本文介绍了计算卫星磁异常理论模型的数学方法，即球谐分析方法、冠谐分析方法、矩谐分析方法和等效源方法。

As a new cross-subject of applied mathematics, the research on both basic theories and practical by using of probabilistic risk analysis which consists of judgment theory, uncertainty a.

作为应用数学新的交叉学科，集决策理论、不确定分析理论、概率统计于一体的概率风险分析，在国内无论是在基础理论研究和应用研究方面均十分薄弱，缺乏风险分析方向的专家和学术储备。

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。