关系

The implicit thought of the body theory and the mind-body relationship, and the dual formulization in Laozi give ideological extension space to the following Daoists.

而人的存在不过是万物之一，因此，本文由道物关系谈起，紧扣著身体观、身心关系、「心术」与「主术」之间环环相扣的类比关系来进行论述。

In the fourth chapter, I analyze and contrast many architectural cases in history and modern times which ellipse were applied to, and explore the ellipse"s development in historic sense. The fifth chapter investigates the dynamic relationship between geometry and architecture based on ellipse"s geometric character, and analyzes ellipse architecture"s characters in symbolism, dualism, diversity and unity these four facets. In the sixthchapter, taking ellipse architecture as examples, I try to explore the relationship between the more general geometry"s purity and architecture"s complexity, and build the foundation for future exploration of geometry"s purity.

第四章从历史和现代两个方面展开了大量对椭圆形式在建筑中应用的个案和实例的研究与对比，探讨了椭圆形式在历史上意义的变迁；第五章以椭圆的几何特性为立足点，研究了椭圆几何--建筑之间的动态关系，从标志性，二元对立，多样和统一四个方面分析了椭圆建筑的特点；第六章以椭圆建筑为例，尝试探讨了更一般的几何的纯粹性与建筑的复杂性的关系，对几何纯粹性意义的挖掘为进一步的研究提供基础；第七章采用了类型对比的研究方法，分析了安藤忠雄和库哈斯两位设计哲学截然不同的建筑师对椭圆形式的使用；另外，以位置关系为线索，将椭圆和其他的几何形式结合起来，总结了一般情况下几何的纯粹性对建筑复杂性的作用。

Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.

首先，讨论了含幺半群中基的基本性质及基与最小生成元集的联系，并给出了含幺半群中基、生成元集、不可约生成元集三者之间的关系；证明了在有唯一长度的半群S中，不可约生成元集、基、最小生成元集三者之间的等价关系；其次，讨论了字的组合与分解性，得出了字的本原性与不可分解性之间的关系---若为不可分解的，则一定是本原的，反之，不一定真；并运用图示法证明了字的可补性理论，讨论了方程，的可解性；在此基础上，用归纳法进一步证明了本原字与码的有关命题--若是X上的一个本原字，其中，则是一个码；若则当且仅当{}是一个码。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

The correlativity dependence may reflect between the variable exists relations,but is not the definite functional relation.

相关关系可反映变量之间存在的关系，但不是确定的函数关系。

The international price had strong impact on the domestic price. Through the research about cointegration and casual relationship between the price of international petroleum and the price of gasolene, this paper prove the cointegration and casual relationship between the them.

本文对国际原油和国际汽油价格谐整关系和引导关系研究，证实了两组价格之间存在谐整关系，并且原油价格滞后引导汽油价格。

Further, with the help of Riccati equations, an infinite number of conservation laws for the solton hierarchy are deduced. For the sake of simplicity, taking the general TD hierarchy as an illustrative example, we prove that its 2×2 Lenard pair of operators forms a Hamiltonian pair. Thus the isospectral evolution TD hierarchy is the general Hamiltonian system and possesses the Bi-Hamiltonian structures and Multi-Hamiltonian structures. By using the method of derivation of functional under some constraint condition, a complete one-to-one correspondence between the Hamiltonian functions of the hierarchy and its conservation density functions can be built. These results can also be applied to the isospectral evolution soliton hierarchy of this paper. Finally, there's a gauge transformation between the spectral problem of this paper and the AKNS system. Moreover, the potentials in these spectral problems satisfy the general Miura transformation, the corresponding relationship between the two soliton hierarchies is also given.

进一步本文还通过特征函数的组合关系所满足的Riccati方程，得到了该等谱方程族的无穷多个守恒律；为简便起见，本文以广义TD族为例，由它的2×2 Lenard算子对的性质证明了此算子对为Hamilton算子对，这说明广义TD族是广义Hamilton系统且具有Bi-Hamilton结构和Multi-Hamilton结构；进而利用它的依赖于谱参数的一般守恒密度的积分在约束条件下求泛函导数的方法，得到了广义TD族的Hamilton函数与守恒密度之间的对应关系，这些性质对于由本文提出的2×2谱问题所导出的等谱孤子族仍成立；另外此谱问题与AKNS系统存在着规范变换，位势之间有广义Miura变换，而孤子方程之间也满足一定的等价关系。

While carrying out simulative program design for hobbing machining,the most difficult point is the description and modelling on the relationship between the cutter and gear blank both in space and in motion,especially the modelling of motion relation between cutter and gear blank in case there exists factors of error.

在进行滚齿的切削仿真程序设计中，其中最大的难点是对刀具和轮坯的空间关系和运动关系的描述和建模，尤其是存在误差因素时对刀具和轮坯之间运动关系的建模。

Through review historical cognitions on relations between complexity and randomicity, bring forth and analyzing immediate relationships between randomicity and Kolmogorov complexity from computer science, this paper tries to peel off some errors understanding on this relations and to return real relations about the them, and analyzing Gell Mann effective complexity concept, argument that two relations between complexity and randomicity, and three random instances.

本文通过对历史上复杂性与随机性关系的认识回顾，展示和分析了起源于计算机科学领域的Kolmogorov复杂性与随机性的直接关联，分析了盖尔曼的有效复杂性概念，论证了两种复杂性与随机性的关系，以及随机性的不同情况，力图剥离混合在复杂性与随机性相互关系上的一些误读和误解，还复杂性与随机性一种客观的本真关系。

Investigation was made of the sputtering rate in glow discharge lamp with re-lation to constituent of 25 different specimens of 6 binary systems, namely, Cr-Fe, Bi-Sb,Cu-Zn, Ag-Cu, Al-Zn and Cd-Sn, by measuring mass loss after each sputtering under con-stant Ar pressure and voltage applied. The correlation, in general, between sputtering rate andconcentration of constituent of these non-intermetallic binary alloys obeys the hyperbolic lawunder steady state, yet may be approximately regarded as linear only on certain special condi-tion if the two components of the alloys with similar sputtering rates.

在恒定气压和电压条件下，用测量溅射减量的方法，系统研究了Cr—Fe，Bi-Sb，Cu—Zn，Ag—Cu，Al-Zn和Cd—Sn六个系统的25个试样在辉光放电灯中溅射率与组分的关系结果表明；阴极溅射在稳态时，二元合金的溅射率与组元浓度的普遍关系是双曲线，只有在某些特殊情况下，两组元的溅射率相差不大时，可以近似看成线性关系。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。