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The third part touches upon the enlightenments gained from the study on the relationship between paradox and mathematical logic on the relationship between paradox and mathematical logic, which are the following: so long as we combine the way of formalization with the philosophizing analysis, look at things dialectically, and deal with things systematically, not only can the problem of paradox be solved relatively, but also a series of important discovery can be found in the process of resolution to it.

第三部分论述在探析悖论与数理逻辑的关系中所得到的意义和启示：只要我们把形式化的方法和哲学性的分析结合起来，用辩证的观点看问题，用系统的方法研究问题，悖论不但可以得到相对的解决，而且在解决悖论的过程中会引出一系列的重大发现。

For studying of several problems in mathematical physics, the mathematical foundation of quantizing theory is an important subject, and nonlinear Schrodinger equation is a fundamental model in quantum mathematics mechanics.

在现代数学物理的若干问题研究中，量子化理论的数学基础是一个重要课题，非线性Schrdinger方程是量子力学中的基础数学模型。

There are lots of researches on Mei Wending's mathematical achievements. Although much researches interfere in his mathematical proof, which has not been regarded as special research object.

关于梅文鼎的数学成就已有大量的研究结果，对于他的数学证明虽也多有涉及，但是未被作为专门的研究对象。

In this paper, borrowing ideas from the research method of the spontaneous combustion mathematical model of goaf, applying to the hydrodynamic theory of porous medium, the spontaneous combustion mathematical model of coal gangue dump is set up.

本文借鉴了采空区自然发火数学模型的研究方法，以多孔介质流体动力学理论为指导，建立了煤矸石山自然发火数学模型，从数学上描述了矸石山自燃的动态演变过程，为自燃矸石山的防治措施提供了理论依据。

In this paper, borrowing ideas from the research method of the spontaneous combustion mathematical model of goaf, applying to the hydrodynamic theory of porous medium, the spontaneous combustion mathematical model of coal gangue dump is set up. From the mathematics, the dynamic evolvement process is described for the spontaneous combustion of coal gangue dump.

本文借鉴了采空区自然发火数学模型的研究方法，以多孔介质流体动力学理论为指导，建立了煤矸石山自然发火数学模型，从数学上描述了矸石山自燃的动态演变过程，为自燃矸石山的防治措施提供了理论依据。

With the method of geometrical figuration,calculates the mathematical module of coil box gap . And base on it,affords the mathematical modules of the top rollers rising speed in the winding period of coil box .

利用几何成形的方法，推导了适用于摆动型热卷箱和非摆动型热卷箱辊缝调整的数学模型，并在此基础上提出了热卷箱卷取过程中上弯曲辊上抬速度控制的数学模型。

Aiming at the problem that the seeds picked up by the suction plate of the seed metering device cannot accurately fall into the seed pit opener as well as into the seed pit, an innovated seed metering device on which the seed dropping angle can be adjusted within a certain range and a new testing stand have been developed in accordance with the mathematical calculation model that had 'in accordance with the mathematical calculation model that had been established previously.

本论文根据2BQM-2型气吸式精量铺膜播种机的结构和工作原理，针对该机在实际播种中，吸种盘吸出的种子不能满足准确地落入在膜上滚动开穴的鸭嘴内，并及时地排入到鸭嘴所成的穴孔内的设计要求，进行了一定的试验研究，利用已建立的计算数学模型，设计新的试验台，改进排种器，使排种器的落种角度可以在一定的范围内调整。

According to legend, the way Pythagoras discovered that musical notes could be translated into mathematical equations was when one day he passed blacksmiths at work, and thought that the sounds emanating from their anvils being hit were beautiful and harmonious and decided that whatever scientific law caused this to happen must be mathematical and could be applied to music.

传说毕达哥拉斯是这样发现音符可以转化成数学方程的：有一天他经过铁匠铺的时候就想，从击打铁砧飞出来的声音很好听也很和谐，他就确定：产生这种现象的科学规律必定是数学的而且可以用到音乐中来。

The paper discussed the main factors that influence the design of the boring cutter hilt, constructed the optimizing mathematical model of the boring cutter hilt based on the basis of ANSYS, and made solution for the mathematical model with the help of the optimizing tools of ANSYS. The result shows that the method is a scientific and practical method for the design of boring cutter hilts, and can have great influences on improving the design precision.

分析了影响镗刀杆设计的主要因素，建立了镗刀杆基于ANSYS技术的优化设计的数学模型，并根据ANSYS8.0软件优化工具的功能对该数学模型进行了求解，优化结果表明：该方法是进行镗刀杆设计的一种科学实用的方法，对提高镗刀杆的设计精度有着重要的影响。

Based on the detailed analyzing of impact system working process, the differential eguation of the system was got, and the mathematical model of the hydraulic impact system was builted, on basis of the mathematical model, By using of dynamic simulation function of Matlab ,the author has built the simulation model of the impact system based on software Simulink and run it after inputting the parameter ,the dynamic graph curve of impact velocity and presser of oil and position of knife rest were got, and the dynamic characteristic of impact system was analyzed,the simulated results are accorded with the fact,and some rational parameters can be found.

在对冲击式采煤机液压冲击系统工作过程进行详细分析的基础上，运用微分方程建模方法，建立了液压冲击系统的数学模型即系统的动态方程，并在该数学模型的基础上，采用Matlab中的Simulink动态仿真功能，建立了基于Simulink的冲击系统仿真模型，通过给定冲击式采煤机冲击系统的相关参数，对该系统进行仿真，得到了冲击式采煤机工作过程中冲击速度和油液压力以及刀架位移的变化曲线，进而对冲击系统的动态特性进行了分析，结果与实际情况较为吻合，并由此得出某些合理的参数。

I can still vividly recall the impressive scenes you gave. You were among my friends and relatives who accompanied me from my house to the seaport and when the porters were slow to show up, you obligingly carried my suitcase for me.

你对我的种种感人情意，使我记忆犹新，那天你随着我的亲友从家里送我上轮船，搬运工迟迟不来，你毅然替我提着皮箱上船。

St. Nicholas became the patron saint of Russia, where he was famous for his red cape, flowing white beard, and bishop's mitre.

圣尼古拉成了俄罗斯人的守护神，在那里，他以身披红斗篷，留着飘逸的白胡须，戴着主教法冠而闻名。