数学基础

A programming language based on ALGOL and designed for nonnumeric manipulation of mathematical expressions.

一种以ALGOL语言为基础，为数学表达式进行非数值操作而设计的程序设计语言。

Based on this, to the recent years the related questions which appear frequently in the middle school mathematics competition, nimble utilization the aliquot concept, the relative prime nature, the combinatorial nature, the factorization, as well as the conclusion of the continual integer product nimbly can by aliquot knowledge and the methods, and so on, carried on the proof and the explanation.

在此基础上，对近年来在中学数学竞赛中频繁出现的相关问题，灵活运用整除概念、互素性质、组合性质、因式分解以及个连续整数的乘积能被整除的结论等知识和方法，来进行证明与解答。

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。

Flow and mass transfer model as well as scale-up of an external-loop ammoniation reactor are studied under commercial condition in this paper.

本文以前期研究 6，7 为基础，研究外环流氨化反应器的数学模型和放大规律，以实现工业化、大型化。

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。

The linear system optimum control theory distributes one of parameter systembasic topics,in domains and so on aerospace,national defense,finance,communicationhas the widespread application prospect.simultaneously, because the research tech-nique involves to foundation mathematics theories and so on the functional analysis,analysis situs,geometry, algebra.

线性系统的最优控制理论是分布参数系统的基本课题之一，在航空航天、国防、金融、通讯等领域有着广泛的应用前景。同时，由于研究手法涉及到泛函分析、拓扑学、几何学、代数学等基础数学理论。

The main work and the originality points of this dissertation could be concluded as the following parts:(1) To analyze systematically the mathematical model of LES of air flow in great space, under the case of isothermal and non-isothermal, as well as the combined action of buoyancy and strain. Some basic problems are studied about the LES application into airflow simulation of great space, such as boundary conditions, spatial difference scheme and time advancing scheme, time step etc., which creates the basis for the LES application to indoor airflow simulation.(2) Both the instantaneous and time averaged flow field of great space with multiple jets under isothermal and non-isothermal cases are explored with large eddy simulation method, and also discussed the dynamic characteristics and the law of fluidflow in the great space.(3) Based on the results of LES of the great space and the Fanger thermal comfort indexes, it is brought forward the concept of the series of dynamic thermal comfort evaluating indexes, which could be divided into thermal comfort index with time averaged properties PD, PPD, PMV, thermal comfort index with instantaneous properties IPD, IPPD, IPMV, and time averaged thermal comfort indexes TAPD, TAPPD, TAPMV, and transient situations time averaged thermal comfort indexes TTAPD, TTAPPD, TTAPMV. The differences among them and the calculation methods are discussed, and the four kinds of indexes are calculated with the thermal comfort index PD as an example.(4) Based on the LES results it is discussed the hot air stratification phenomena in air-conditioned buildings in the case with air supply and return registers on the ceiling and the case on the sidewall. The fundamentals of the hot air stratification are studied and the relations of estimating hot air stratification are brought forward.(5) With the advanced apparatus such as hot wire film anemometer IFA300 and laser particle field anemoscope, corresponding model test and site measurements have been done, which are compared with the simulation results and LES is proved a very promising method in air flow simulation indoor.

本文主要工作既创新点体现在以下几个方面：(1)系统分析了等温、非等温和考虑剪切力与浮升力综合作用的高大空间大涡模拟数学模型，并研究了高大空间大涡模拟在室内气流仿真应用中的一些基本问题，如边界条件、空间离散格式和时间推进格式、时间步长选择等问题，为大涡模拟在室内气流计算中的广泛应用打下了基础；(2)首次用大涡模拟方法研究了高雷诺数下高大空间多射流在等温、非等温情况下的瞬时流场和时均流场分布，并探讨了多射流流场的动态特性和流动规律；(3)基于大涡模拟的动态仿真结果和Fanger的热舒适指标，首次系统地提出了动态热舒适评价指标体系的概念：即基于时间平均参数的热舒适指标PD、PPD、PMV；基于瞬时参数的瞬时热指标IPD、IPPD、IPMV；基于时间平均热舒适指标TAPD、TAPPD、TAPMV；以及沿行动迹线的时间平均热舒适指标TTAPD、TTAPPD、TTAPMV，并分析了四类热舒适指标的差异性和计算方法，还以PD值为例对四类指标分别进行了计算；(4)基于数十种工况下空调房间大涡模拟的结果，研究了空调建筑上送上回和侧送侧回两种情况下热分层现象，并探讨了热分层的基本规律，首次提出了避免热分层现象的判断公式；(5)在暖通空调领域，首次使用IFA300热线风速仪、激光粒子速度场仪等先进设备，完成了与大涡模拟相对应的模型试验，并把实测结果与仿真结果进行了对比，说明LES在室内气流仿真方面是一种很有前景的方法。

Using the model, the relationship between wobble plate's angle and compressor's displacement is given.

在动力学分析的基础上，建立了排量控制机理分析用数学模型，给出了斜盘倾角α与排量之间的定量关系。

The model was used to simulate the angular velocity distribution of the liquid Al Si alloy under different magnetic intensity .

在对电磁离心工艺深入分析的基础上，建立了该工艺过程中液态金属角速度分布数学模型·并模拟了不同磁场强度下，液态金属角速度分布·结果表明：为避免铸件产生缩松，在电磁离心铸造过程中，必须有合适的磁场强

In this p aper, the dynamic model of time window design was built by analyzing the related factors.

在分析时间窗设计的基础上，建立了计算时间窗宽度的动态数学模型。

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。