存在的性质

We prove the existence theorem of rationed with Borel points for meromorphic functions in the unit circle, discuss the operations of algebroid functions and the existence theorem of Nevanlinna direction of algebroid function dealing with mutiple values, and obtain some uniqueness theorems dealing with mutiple values of algebroid functions.

证明了单位圆内限定Borel点的亚纯函数的存在性定理，讨论了代数体函数的运算性质以及涉及重值的Nevanlinna方向的存在性定理，得到了一些涉及重值的代数体函数的唯一性定理； 2。

The paper first obtains the L2 -apriori estimates for the solutions of two kinds of autocatalytic model s under Dirichlet boundary conditions, and then, using the properties of linear semigroup and delicate calculations, the estimates of the maximal norms are obtained, therefore, the global existence of the solutions is proved.

该文利用重要不等式及能量积分方法首先得到了解的初等的先验估计。然后利用线性半群的有关性质及精细计算得到了解的最大模估计，从而证明了两类三次自催化模型在Dirichlet边界条件下整体解的存在性，并进而证明了第一类模型的最大吸引子的存在性

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

The men who introduced this doctrine did not posit Ideas of classes within which they recognized priority and posteriority (which is the reason why they did not maintain the existence of an Idea embracing all numbers); but the term 'good' is used both in the category of substance and in that of quality and in that of relation, and that which is per se, i.e. substance, is prior in nature to the relative (for the latter is like an off shoot and accident of being); so that there could not be a common Idea set over all these goods.

因为，当两者都与我们亲善时，虔诚要求我们把真理置于友谊的上面，提出这一学说的人没有把类的理念放置到他们提出的先天与后天范畴内（这也是他们没有坚持理念的存在涵盖所有数字的原因），但是"善"这一术语既在实体这一范畴内使用，也在性质和关系范畴内使用，而实体就其本身而言，在本质上优先于关系（因为后者就像派生物和偶然的存在一样），因此在所有这些善之上有一个普遍的善。

However, Most vector-based algorithms of computing the Voronoi diagrams have difficulty while dealing with complex generators , and so author first discusses the properties of Voronoi diagram based on the Manhattan distance or supremum distance, the experimental result shows that Voronoi diagram based on the Manhattan distance or supremum distance or alternatively using these two distances is a rough approximation of Euclidean-metric Voronoi diagram.

鉴于构建Voronoi图的矢量方法存在一些问题及不足，首先分析了基于曼哈顿距离和上限距离的Voronoi图性质，进行了相应的实验，实验结果表明基于这两种距离或交替使用这两种距离所产生的Voronoi图与基于欧氏距离产生的Voronoi图之间存在较大的差异，属于精度较差的逼近方法。

To obtain a complete picture about shock formation in non-viscous flow, in the succeeding chapter we investigate the isothermal shocks in adiabatic flows. We find that in this case the shock solution still exists, but the structure and the properties of the solution are greatly different from above even qualitatively. In some region of the parameter space there only exists unstable shock solution and in some region of the parameter space there may exist two stable shock solutions.

为得到完整的无粘流体中激波形成的图象，在接下来的第四章，我们研究绝热流体中等温作为激波条件时的情况，发现此时激波解仍存在，但解的结构和性质甚至在定性上都与前两章有了显著的不同：某些参数空间只存在非稳定的激波解，某些参数空间则会同时出现两个稳定的激波解。

Consolidation test is a important link of obtaining mechanical properties index of soil and coefficient of compressibility gained through the test is a key data to evaluating the compressibility of soil. Consisting of solid phase and liquid phase of the salty soil is different from the non-salty one. Eutectic salt in soil may exist as liquid phase, solid phase or both of them and these phases can interconvert because it is affected by temperature, Na_2SO_4 content, water content. Especially when temperature drops, Na_2SO_4 will crystallize and expand, namely salt expansion of soil. These particularities make soil sample put in environmental cabinet when consolidation test is going on. So soil sample can be compressed by temperature controlling system under a set temperature.From experiment, the formulae counting coefficient of compressibility of salty soil have been given.

土的固结试验，是取得土的力学性质指标的一个重要环节，因为土的固结试验所取得的压缩系数，对评价土的压缩性是一个关键数据，但由于盐渍土的固相、液相组成和非盐渍土不同，土中易溶盐受温度、含盐量、含水量的影响可以以液相、固相、液相和固相混合形式存在，且它们之间的存在形式可以相互转换，尤其是当温度下降时，硫酸钠便结晶产生体积膨胀，即盐胀，这些特殊性就使得在进行硫酸盐渍土的固结实验时，须将土样放置在环境箱中，通过温度控制系统使土样在设定的温度下受压产生变形。

This chapter proposes three conceptions, i.e., Kernelled quasidiferential, star-kernel and star-diferential, and establishes their operational properties. A sufficient theorem and a sufficent and necessity theorem for a quasi-kernel being a kernelled quasidiferential are proven. Both the existence of star-kernel for a quasidiferentiable function and the existence of star-differential for a direnction-ally diferentiable function are established.

在这一章里，首先给出核拟微分，星核与星微分的定义及其它们的运算性质；然后证明了拟核微分的一个充分条件定理及一个充要条件定理；最后讨(来源：A27BC论文网www.abclunwen.com)论拟可微函数星核的存在性及方向可微函数星微分的存在性以及Penot-微分与上下导数之间的关系。

The earth is a complicated system, and it has been continuously moving differentiating and evolving since it had been formed. Not only has the earth layering structure, but it has vertical movement of materials. The movement is prompted by the mechanism of force and heat of the centrifugal force to be formed by the rotation and revolution of the earth, and difference of temperature, pressure, density, viscosity and velocity in the between core and mantle, and radioactive heat, et al. The expressive means of the mechanism of force and heat are the precesses of mantle plume and mantle fluid. Not only are ore-materials of core and mantle carried directly into crust, but ore-materials of crust are activated and accumulated into proper location by the mantle fluid having the supercritical nature.

地球是一个复杂的系统，自形成以来，一直处于不停地运动、分异和演化过程；它不仅存在着圈层结构，而且伴随其自转和公转的离心力，以及核幔间的温度差、压力差、密度差、粘度差、速度差和放射性蜕变热等动热机制，同时存在着以地幔柱和地幔流体作用方式的物质垂向运动；这一过程，不仅直接向地壳带入核幔成矿物质，而且通过流体自身的超临界性质，将沿途活化已有初步富集的成矿物质转移至地壳适宜部位集中成矿。

It is shown that in solution the ion pairs can exist in such different forms as contact ion pair, solvent-separated ion pair or free solvated ions. Solvent polarity influences not only the spectral properties of different forms, but the equilibrium between them as well, leading to change of physicochemical properties of the ion pairs.

观察到在溶剂中离子对可以各种形式存在，如紧密离子对、溶剂分隔离子对或溶剂化的自由离子，溶剂的极性不仅影响各种存在形式的光谱性质，而且影响它们之间的平衡关系，进而影响离子对体系的物理化学性质。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。