数学

In telling the vibrant story of The Poincaré Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.

Donal O'Shea 通过告诉读者 Poincaré猜想这个振奋人心的故事，让第一次接触到这个领域的大众读者们能够更容易的理解其意义，使数学领域更为形象化，以及赞扬了从古至今历代的数学家们，正是他们为数学做出的杰出贡献才使得Perelman的有关数据更具有了说服力。

Dooley said,it's not so secure to deal with the emotion question in mathematics.

数学教授安东尼杜利说：把数学运用到感情问题中通常不保险。

The conventional study is based on mathematical models of process. Because of complexity of fault occured, it is difficult to run and dualize rigorous models. Hence, the troubleshooting isn't straight and easy to implement.

正因为如此，国内外对蒸馏过程故障诊断进行很多的研究，但多采用传统的建立过程数学模型的方法，由于过程工艺流程的复杂性，难以建立准确的数学模型，无法对故障作出直接、准确的诊断。

The efficiency of an closed epicyclic gear train is analyzed by means of this formula, some of efficient curves are drawn, and an adequate selecting range of transmission ratio is found.

推导出了动力学模型中惯性元件、弹性元件和分支节点的动力学分析的数学模型，用传递矩阵法建立起封闭周转轮系动力学分析的数学模型。

The essay also treats significance of this method in maths of high school education. It puts forward teaching strategy about how to emphasize maths transformation method, that is to place emphasis on basic knowledge, perfect knowledge structure, develop the transformation method, and improve the ability of transformation. We also base on our text books, and epurate and summarize the basic teaching strategy in our work.

接下来，论述了化归思想方法在中学数学教学中的意义，最后结合个人教学实践，提出了加强数学化归思想方法的教学策略，即夯实基础知识，完善知识结构；培养化归意识，提高转化能力；掌握化归的一般方法；强化通性通法教学；深入教材，反复提炼与总结等基本教学策略。

On the thinking method of solving the explorative problems

数学是基础科学的基础，数学中充盈着丰富的思想方法。

Modeling is one of the main methods used to research our world. Different kinds of models can be settled to solve different problems, such as physical models, mathematical models, figural models etc.

建模是人类认识世界和改造世界的主要方法之一，常用的数学模型有物理模型，数学模型，图示模型等等。

Through the experiment results, in different phonation model, analysis the properties of glottal vocal efficiency, vocal folds vibration, and voice source.

我们在对嗓音—呼吸系统进行自动分割与分段特征表达的目标指引下，建立了具有国内一流水平的嗓音声学实验室；从概念上对嗓音—呼吸系统重新划分，以声门为中心分别建立去耦合和弱耦合条件下的嗓音—呼吸系统和肺胸系统数学模型；采用离体犬喉作为声带振动的物理模型，对数学模型进行完善与证实；采用盲解卷技术在去耦合和弱耦合条件下，提取上下声道传递函数、嗓音源和发声效率，研究上下声道去耦合和弱耦合条件下不同发声方式与状态对发声效率的影响。

Data analysis shows that the relationship between lengths of body and tentacles of hydra and concentration of hexavalent Chromium ion are statistically significant.

数据分析显示水螅在Cr6+溶液触手和身体的长度相关性在数学统计中是很有意义的，并且归结出浓度与生物指标关系量化数学模型。

On the basis of engine idiocratic mathematical model, using the origin underway accelerate time and the oil consumption at the cycle of multi-working conditions as the objective functions of the power performance and the economy performance respectively, and then transform it to a single objective function by using the linear adding.

在建立发动机特性数学模型的基础上，以原地起步连续换档加速时间和多工况循环使用油耗作为衡量动力性和燃油经济的2个分目标，采用线性加权组合的方法将其转换成单一目标函数，建立了汽车动力传动系优化数学模型，利用惩罚函数法对此模型进行了优化，实例计算表明，应用该方法对汽车动力传动系进行优化匹配分析时，整车综合性能均有显著改善。

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。