数学

In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics.

在互补性理论，这是一个相对较新的应用数学领域，数学模型和有关问题的平衡研究几种被认为从物理学的角度和经济的。

In inequality in the equivalent transformation process requires a lot of mathematical ideas, discuss issues such as classification, the overall for-yuan,数形结合, transformation and so on as appropriate to the infiltration of these thinking, to improve the mathematical abilities of students have great help.

在不等式的等价转化过程中需要用到诸多的数学思想，如分类讨论问题、整体换元、数形结合、转化化归等等适当地渗透这些思想方法，对提高学生的数学能力有极大的帮助。

The type of essential singularity belonging to one of three classes of isolated singularities, is only regarded as a type of infinite-order polar points.

剖析了数学奇点和物理奇点这两个概念及其它们在本质上的差异：数学上的本性奇点只不过是无穷级极点。

The Math object features a full complement of built-in mathematical constants and functions, such as E (Euler's constant), cos, and atan.

数学对象以一系列的数学常量和功能为特点，如E、cos、atan。

To avoid the inconvenience of collecting blood sample and the big error with the scatter-dot graph method, this paper tries to apply mathematics model to the athletics realm, examinate the mathematics model with the data from the experiment and further analyze T's dynamic regularity in sanda rivalry.

为了避免血睾酮采血的不方便性和传统描点法误差大的缺陷，本课题尝试将数学模型的研究方法引入到体育领域中，并用实验所测数据对该数学模型进行检验。

With the investigation of the domestic and foreign literature systematically, the bases on the domestic and foreign present research and the comprehensive utilizations of the various knowledge of fluid mechanics in porous medium, reservoir engineering, mathematical physics, perforation completion, numerical simulation and so on, this article takes numerical simulation of gas reservoir of water solubility as the research aim which has completed following research works and obtained the corresponding research results: it analyzes the nature of the Water-soluble gas and formation water as well as the influent factors of the solubility through the study of massive materials; It establishes mathematical models three-dimension, the dual medium, the gas-water phase through the way of finite difference in the migration of water-soluble gas, which describes the entire process of release, migration and production in formation, where it considered the problems of variable bubble point; According to the numerical models of gas reservoir of water solubility it provides solution procedure that based on black oil model; It discovers that there will obtain the good effects in the lowly speed of development through simulation; the reinjection of formation water may largely enhance the produce degree of water-soluble gas when we consider reinjection in simulator; It considered the influence of perforated completion on development so as to increase the simulator"s versatility, It discovers that the simulator may reflect the conditions of development when we exanimate he simulator"s reliability with the empirical datum.

本文以水溶性气藏数值模拟研究为研究目标，在系统调研国内外文献、深入分析国内外研究现状的基础上，综合利用渗流力学、油气藏工程、数学物理方法、射孔完井以及数值模拟理论等多方面的知识，完成了以下研究工作并取得相应的研究成果；①通过对大量的资料调研，分析了水溶气、地层水性质、储层地质性质以及影响气体在水中溶解度的因素。②考虑到由于高压产生的大量水力裂缝，采用有限差分方法建立水溶气运移的三维、双重介质、气-水两相全隐式数学模型，该模型描述了水溶气在地层中的释放、运移和采出的整个过程。③在原有黑油模型的基础上，根据水溶性气藏数值模型编制了该数值模型的求解程序，该程序可以求解单重、双重介质两种情况。④通过模拟不同开采速度对水溶气开发效果的影响，发现开采速度较慢的时候可以取得较好的开采效果。⑤在模拟器中考虑了注水对水溶性气藏开发的影响，地层水回注可以大幅度提高水溶气的采出程度。⑥为增加模拟器的通用性，在模拟器中考虑了射孔完井方式对开采的影响。⑦检验模拟器计算的可靠性，发现在使用实验数据对水溶性气藏进行模拟时，模拟器可以很好的反映气藏开发的状态。

Based on it, the sampling data is disposed properly by applying the expectance and variance of statistic theory and the discharging state can be identified exactly.

在此基础上，采用统计学中数学期望和方差的概念对间隙放电电压采样数据进行了有效地数学分析，从而可以实现间隙放电状态的准确识别。

Bstract mathematical knowledge: Mathematics as a body of knowledge that may be experienced as experientially real.

： 抽象数学知识：一个可以作为经验性真实世界来体验的的数学知识体。

The activating mathematics education into daily life is the embodiment of the philosophical standpoint of experimentalism , which indicates the limit of the activating mathematics education into daily life by the root.

数学教育生活化体现了经验主义哲学立场，这从根本上表明了数学教育生活化所具有的局限性。

Based on synthetic evaluation model in fussy mathematics and cubic exponential smoothing method of time series, the evaluation and forecasting models are established.

3对常用旅游评价、预测的数学模型进行总结、分析后，采用基于模糊数学方法的模糊综合评价法、基于时间序列分析方法的三次指数平滑法建立本系统的评价及预测模型。

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。