数学基础

A correction method for beam hardening, involving simple operations of the original polychrornatic projection sinogram, was presented based on the analysis of three physics properties implied by beam hardening. Its correction principle was deduced mathematically. A noise reduction method was proposed to suppress the noise enlarged by the harden correction by processing the high-frequency and the low-frequency components in the projection sinogram respectively.

在分析射束硬化现象具有的3个物理属性基础上，提出了一种对原始多色投影正弦图进行操作的硬化校正方法，并从数学上证明了其校正原理，针对该方法带来的噪声放大问题，研究了一种基于高、低频信息分类处理的噪声抑制方法。

In order to become more practical for design of four-link the weft beat-up mecchanism, this paper presents a new the fuzzy optimization method based on considering the fuzzy randomicity of design parameters. By use of double objective optimization method, that is, for maximal accelerate of sley sword minimizing and coefficient of speed rate of sley sword traveling maximizing, mathematics model of the fuzzy optimization design of the four-link weft beat-up mechanism is set up. Calculation and analysis of pra...

设计更好地符合客观实际的四连杆打纬机构，在充分考虑各设计参数的模糊性的基础上，根据模糊方法学的基本理论提出一种模糊优化设计方法，采用使筘座的最大加速度最小，同时使筘座的行程速比系数最大的多目标优化方法，建立了该问题的模糊优化设计的数学模型，并对实例进行了计算与分析，获得最优的综合性能。

By use of double objective optimization method, that is, for maximal accelerate of sley sword minimizing and coefficient of speed rate of sley sword traveling maximizing, mathematics model of the fuzzy optimization design of the four-link weft beat-up mechanism is set up.

设计更好地符合客观实际的四连杆打纬机构，在充分考虑各设计参数的模糊性的基础上，根据模糊方法学的基本理论提出一种模糊优化设计方法，采用使筘座的最大加速度最小，同时使筘座的行程速比系数最大的多目标优化方法，建立了该问题的模糊优化设计的数学模型，并对实例进行了计算与分析，获得最优的综合性能。

To the farm area , based on the SOTER, the methods of fuzzy mathematics and multiple statistical analyses are used to evaluate the soil fertility.

针对农场范围，以SOTER数据库为基础，运用模糊数学和多元数理统计分析原理，开展了土壤肥力综合评价。

According to the modified k－ε turbulent model a new numerical model is proposed to simulate three dimensional in-cylinder flow field of diesel engines, and applied to a large microcomputerize procedure which we developed for simulating gas flow, spary and combustion in diesel engines.

以此为基础建立了模拟柴油机缸内三维流场的一个新的数学模型，并将其应用于我们开发的计算模拟内燃机流动、喷雾和燃烧的微机化大型程序SUN—I之中。

The specifical experimental set-up estalished and the function deducted will provide a rationale for future studies.

该实验装置的设计及相应的数学函数的建立，为进一步研究骨水泥在松质骨的渗透性提供了理论基础。

Take employ market for instance, many great companies like Mogen Stanly, Shell recruit their new staff by holding an examination with mathematic consequence, case reasoning and some other ways of checking a person's intellect.

例子：就业市场上很多自主招聘的试题数学推理、案例研究等思维能力测试都占了很大的比重；在中国，一些中学过度重视竞赛教育，这些学生绝大多数在中学后就不愿意再从事基础学科研究

The last but not the least is that the paper accumulates modeling experience which is helpful to the study of intelligent control of water treatment system.lt is a stepstone to deepen the research on consequent feed-back control on-line of the oxidation ditch system .

本论文同时为水处理系统智能化反馈控制研究积累了经验，以此为基础仍以ANNs为数学工具可进一步展开氧化沟系统的后续反馈控制研究。

A new mathematical model is built based on the laminar flow model and coalescence and redispersion model. Taking the competitive and consecutitive azobenzene reaction between 1-naphthol and diazotised sulphanilic acid as an example calculated segregation index.

在层状扩散模型和聚并分散模型的基础上，建立了一个新的数学模型，以1—萘酚与对氨基苯磺酸重氮盐这一竞争串联偶氮化合反应体系为例，计算了反映微观混合状态的离集指数。

Based on this principle, the mathematical model of an exothermic reactor is established to caculate Exothermic reator length L corresponding to reation temperature T, reation temperature T corresponding to ammonia mole fraction y and the average internal reactor wall temperature Tave corresponding to exergy output Enet and thermal power output Q. The curves of L-T, T-y, Q/Enet –Tave are drawn with the caculated date which can directly reflect the influence of reactor inlet gas temperature and reactant flow rate on ammonia synthesis reaction for the reactor under the conditions of definite design pressure and hydrogen/nitrogen ratio. Furthermore, the design parameters to realize maximum exergy output and thermal output are presented.

文章分析了储能体系的选择，介绍了氨基热化学储能的基本原理，在此基础上建立了放热反应器的数学模型，计算和绘制出了L-T、T-y以及热量和佣输出与反应器内壁平均温度之间的关系曲线，直观地反映了在一定的设计压力和氢氮比条件下，进气温度和进气流率对放热反应的影响，给出了实现佣最优化和热能最优化的操作参数。

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。