查询词典 mathematical analysis

In this paper,the relation of primary aeration coefficient and NOx emission rates are obtained through mathematical analysis.

本文通过实验数据的回归分析给出了一次空气与NOx函数关系的数学表达式，并对NOx的排出特性进行了理论解释。

To stability analysis of the tethered balloon, A three dimensional nonlinear mathematical model of tethered aerostat was assembled.

摘 要：为研究系留气球稳定性，建立了系留气球的三维非线性动力学模型。

Research on water hammer characteristics of air valves Research on water hammer characteristics of air valves has been studied in experiments by establishing mathematical model of the air valve, using suitable method of numerical calculation, and comparing the experimental outcomes with theoretical analysis.

空气阀特性研究试验研究了作为水锤防护装置的空气阀的特性，建立了空气阀数学模型，通过合适的计算方法进行数值计算，并与试验进行了比较。

This paper established a multi-objective mathematical optimization model based on the above analysis,and constructed air passenger services free shuttle system framework.

基于以上分析构建出航空客运票务服务免费接送系统的架构，并根据此架构，提出了可行性的设计。

In order to change the test of closed water for the high pressure vessel for the closed air test, according to the requirement of airtightness for high pressure vessel,the quantitative mathematical model for closed water test was built by analysis of free going out for small orifices in fluid mechanics.

为将高压容器密闭性的闭水检测改为闭气检测，根据高压容器密闭性能的要求，通过对流体力学小孔口自由出流分析，建立了闭水试验定量数学模型。

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

In the present paper, based on the thorough analysis and research of the mathematical model for the flow field and temperature field, the filling and solidification process of aluminous hub was successfully simulated by using ANSYS software.

本文以大型有限元仿真软件ANSYS为工具，在对铸造过程流场、温度场的数学模型进行深入分析研究的基础上，成功的模拟了铝合金轮毂类铸件低压铸造的充型凝固过程，并根据模拟结果对铸件可能产生的缺陷及部位进行了预测，完成了利用ANSYS软件来检测、校核模具设计和工艺安排的工作。

Studying the chemical balance,energy balance and material balance in the gasification process and probing into the interaction in the gasification process and law of changing offer a theoretical foundation for gasification control. Through the materialization nature of coal, the gasification characteristics of the deoxidize zone are mainly studied (the dynamics characteristics and chemical characteristics). Probing into coz deoxidize mechanism ?establishes the theoretical foundation for the proposition of mark gas;the Principle to adjust and control temperature and applying methods is studied;the physical and mathematical models of underground gasification are set up;A temperature field in the district of gasification is set up and the instance analysis of computer analogue simulation machine has been carried out.

本文通过探讨"三带"基本特征，进而对煤炭地下气化的过程稳定进行研究；研究气化过程中的化学平衡、能量平衡及物料平衡，探讨气化过程中各组分之间的相互关系及变化规律，为气化调控提供理论依据；通过煤炭的物化性质，重点研究还原带的气化特征，分析探讨还原机理，为标志气体的提出奠定理论基础；研究以标志气体为核心的调控升温气化原理及实施方法；建立地下气化的物理模型与数学模型；建立气化盘区温度场，并进行计算机模拟仿真的实例分析。

By usingthe method of time series analysis, the mathematical model of the angula...

这个结果对于评定陀螺仪的性能和质量是有用的。

The modern physics development by to the concrete material embodiment inspection, moved towards to the abstract material abstract research, namely from specially moves towards general, its utilizes the mathematical instrument is also same, moves towards mathematics from physical mathematics physics, already developed the abstract algebra and the general analysis situs, from bad on the one hand said, the physicist because of lost the concrete material object to change confusedly, was at a loss how to proceed, from was good on the one hand says, the research technique from specially moved towards general, also caused its thinking mode to have the return, tended to the philosophy, this speaking of the physics, was one kind of significant crisis, but at the same time, Also is a brand-new development turning point.

现代物理学的发展已由对具体物质的具象考察，走向对抽象物质的抽象研究，即从特殊走向一般，其所运用的数学工具也一样，从物理的数学走向数学的物理，已经发展到抽象代数和一般拓扑学，从坏的一方面讲，物理学家因失去了具体的物质对象而变得迷茫，无所适从，从好的一方面讲，研究方法的从特殊走向一般，也使其思维方式发生了回归，趋向于哲学，这对物理学而言，是一种重大危机，但与此同时，也是一个全新的发展契机。

Green function defined inphase space differs from one in coordinate space by its struc-ture which exhibits nonlocatity in coordinates and oscillatorybehavior with respect to momenta.

在相空间中定义的Green函数不同于通常坐标空间的Green函数，在结构上显示出对坐标的高度非局域性，而对动量则显示出振荡行为。

The upper front part of a saddle;a saddlebow.

前鞍桥马鞍前面的上部分；前鞍桥