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The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted from pa...

本文依据马克思、恩格斯关于微商概念的哲学思想,阐述了代数的0/0与导数的0/0的内在差异,并详细讨论了导数的代数实体0/0的双重性质,从而回答了导数本身是如何合平逻辑地转化为微商的问题;其次,把这一讨论推广到偏导数的概念中去,论证了偏导数转化为微商形式的合理性,以及偏微商表述的意义,文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

A variable-step modified Euler time integration method is proposed and analyzed. Four major factors that affect the efficiency of the variable-step modified Euler time integration method are discussed. These include stability and accuracy analysis for the damped fix-step modified Euler integration formula, adjustment method of the fix-step basic integration formula to accommodate step-size changes, suitable range of the step-size selection strategy based on truncation error concept and development of the step-size selection strategy based on apparent frequency concept to satisfied the specified error bound and stability condition.

提出了变步长修正Euler时间积分法,详细讨论了影响变步长修正Euler时间积分算法效率的四个主要因素,它们包括:有阻尼问题的修正Euler法的稳定性和精度分析,调整固定步长的基本积分公式使之容纳步长大小变化的研究,基于截断误差概念的步长大小选择策略适用范围的讨论,同时满足规定误差界和稳定性条件的、基于表观频率概念的步长大小选择策略的建立。

After the functional relation between designed flow rate and water demand unit is analyzed, the concept of demarcation point of water supply is put forward, which is convenient for actual .

文章通过实例,详细讨论了三种计算方法的合理性,通过讨论设计流量与用水单位数之间的函数关系,最后提出给水分界点的观念,便于工程实际应用。

This article, in the term of Eigenfunction method of Quantum mechanics, illustrated indetail the Irreducible representation (Irreducible representation marices) of Reprensentation group of computatile space group and the disposition of phase factor of Irreducible representation basis and the disposition method of plase factor of clebsch-Gordaw coefficients in the process of the computation.

利用量力学中的本征函数法详细讨论计算空间群的表象群的不可约表示及IR基时位的处理,以及讨论了C—G系数的计算中的位的处理方法。

The main works are as follows:The dissertation gives a discussion and generalization all kinds of location methods fundamental principle then compares these methods performance, realizable complexity and applied circumstance.

本文在深入研究了无线蜂窝通信系统的定位技术基础上,阐述了作者在其中几个问题上所做的工作详细讨论和总结了各种定位方法的基本原理,并且对这些方法的性能、实现复杂度和适用环境进行讨论比较。

Chapter 2: The chapter concentrates on the powerful instrument in studying the carrier transport properties—thermopower.. Starting with the base theory, the chapter discussed the thermoelectricity phenomenon in metal and semiconductor in detail, including the useful Mott formula, phonon drag effect (normal process and Umklapp process), abnormal thermopower in transition metal, two-band model, magneton scattering, and so on. To resolve the abnormal thermopower in low temperature, some theoretical models, such as the distortion of Fermi surface, resonant scattering, spin-bag model, were argued. Each of them has its limition.

第二章:对热电势这一研究物质载流子输运性质的手段进行了综述,从热电势的原理和基础理论研究开始,针对金属和半导体的热电势现象进行了详细讨论,包括研究工作中常用的Mott公式、声子曳引的正常过程和Umklapp过程、过渡金属异常的热电势现象、双带模型及磁子散射机制等等,对于低温下的异常散射机制讨论了声子曳引、费米面畸变、共振散射机制、自旋口袋模型等若干种理论模型及其局限性。

The hierarchy architecture of the compiling system is presented. Thinking about the way of alignment and distribution of a array, the range of a index variable in a FORALL statement, and the subscript expression of the element of a array, the communication requirements in an array assignment are classified into three categories: no communication, SHIFT communication, and other type of communication.

综合数组的分布方式、对准、FORALL语句的空间索引变量范围以及数组元素的下标表达式,将程序语句中所隐含的通信划分为3种情形,即无通信、SHIFT通信和其它通信,指出了这种划分的意义,给出相应的通信检测算法,描述了具体的实现细节;详细讨论了SHIFT通信以及利用阴影区技术对它进行的优化,对于REMAP通信的典型形式及其优化也进行了讨论。

This paper discusses the integrability of Riemann integral systematically: By analyzing the common characters of a lot of integral calculus, it abstracts the concept of Riemann integral and discusses its integrability of Riemann integral and then gets integrable functions.

摘要本文较为系统地讨论了积分的可积性:通过分析诸多积分概念的共性,抽象定义了积分并详细讨论了其可积性,得出了可积函数类。

This paper discusses the integrability of Riemann's integral theory systematically: By analyzing the common characters of a lot of integral calculus, it abstracts the concept of Riemann integral and discusses its integrability of Riemann's integral theory and then gets integrable functions.

摘要本文较为系统地讨论了积分可积性理论:通过分析诸多积分概念的共性,抽象定义了积分,详细讨论了其可积性理论,得出了可积函数类。

Human Simulating Intelligent Control are introduced as comparison with above approaches. Typical nonlinear system: simple inverted pendulum and double inverted pendulum are simulated. The characteristics and applying range of each algorithm are discussed and compared.

本文详细讨论了典型的非线性系统倒单摆、一级和二级倒立摆为控制对象的建模与控制,并以倒立摆为被控对象对上述每种算法的特点和适用范围分别作了讨论和比较。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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