抽象数学

It introduces mathematics to philosophy, giving concrete noun sense to the dialectics which is supposed to be abstract and changing.

在纽带意义上批判并发展唯物辩证法，将数学方法引入哲学，赋予原本抽象地变化的辩证法以实实在在的名词性的本体。P176～196

In first part,The Theory and Simulation on Reconstruction Algorithms,webuild a well-defined mathematical model for OCT,on which we prove more than 10theorems,analyze and answer a series of significant questions about OCTreconstruction,from existence, uniqueness,continuousness,stability to sampling,resolution,ill-posedness and accuracy.

在上篇重建算法的理论与实践中，我们将OCT抽象为基于n维Radon变换的数学模型，从而分析、讨论、回答了从存在性、唯一性、连续性、稳定件到采样条件、分辨能力以及病态特件和重建精度等一系列在理论和了OCT的重建理论体系。

On the foundation of this model, the deadbeat control algorithm and the robust control algorithm have been present.

针对目前控制方法中存在的问题，将UPQC视为一个整体，建立抽象出包含UPQC与电网、负载的统一数学模型。

The concept and properties of the relational analysis of C-mode between continuous system and discrete system are proved abstractly on the basis of the identity. The antithesis and difference of the displacement, the velocity and the acceleration of different objects as respect motion situation.

应用数学方法比较不同事物之间在反映各自运动态势的位移、速度、加速度方面的同一性、对立性、差异性关系的基础上，抽象论证了连续系统与离散系统的C型关联分析的概念及性质。

First of all, this paper introduces the whole design project and interrelated knowledge about Non-destructive detection, ultrasonic detection, and Phased-Array ultrasonic detection Then the paper depicts the principle of Phased-Array focus and abstracts a set of math model and feasible arithmetic on the base of the real parameter of the system. Put forward several problems that exist during the course of system development and program. Introduce some measures of distinguish that are often used in non-destructive detecting and echo wave crest. Then I depict one of the measures in detail that used in the course of non-destructive detection, which is the way of distinguishing whether defects exist or not. Then provide part core program to realize it. This paper also provides main flow chart through analyzing how main control program controls different parts to make the whole system more effective.

然后在文中以较大的篇幅，描述了相控阵聚焦的原理，并根据该系统的实际参数，抽象出一套数学模型和可行的算法，在此基础上提出了在系统开发过程及编程实现过程中存在的一些问题；介绍了在无损检测中缺陷的分类和对回波峰常用的识别方法，详述了系统开发过程中使用的其中一种识别方法，即判别是否存在缺陷的算法，并给出实现之的部分核心程序；详述主控程序如何控制各部分并协调各相关软件的工作，使整个系统发挥最高效能，并给出主要设计框图和程序。

They must also learn about the need of abstract reasoning as well as the power of generality in the use of mathematics.

他们也必须学习关于抽象推理的需要和广泛应用数学的能力。

Nothing of flesh and blood ever crept in; it was weird, ghostly, ghoulishly abstract.

他俩谈论的是一种高等数学，不含一点血肉的东西，鬼魂般荒诞，抽象得可怕。

We can make use of the powerful calculate function and convenient graph protract function of MATLAB to make the abstract mathematic theory more understandable and have a better teaching effect.

利用MATLAB强大的计算仿真功能和方便易用的图形绘制功能可以将抽象的数学和技术理论以易于理解的可视化形式展示给学生，起到更好的教学效果。

Again, what is known now as group theory? was an abstract and inapplicable mathematical theory.

又比如，现在被称为"群论"的理论一度是一项抽象而没有实用性的数学理论。

Despite the abstract mathematical character of exposition adopted in the "Principia" Newton was not only not a learned scholastic divorced from life, but in the full sense of the word was in the centre of the physical and technical problems and interests of his time.

尽管在牛顿的《原理》中牛顿采用了这抽象的数学特征，然而牛顿不但不是一个与生活分离的学识渊博的学者，而且他还彻底认识到世界处于物理问题和技术问题的核心，也是他那个时代兴趣的核心。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。