性质上的

You are fascinated by the world around you and love to immerse yourself in nature.

你是迷上了周围的世界和爱你沉浸在性质。

For self-adjoint operators A and B, we show that there exists A∧_G B and establish the explicit representation of A∧_G B, where A∧_G B denotes the infimum of A and B associated with the Gudder order.

本文共分为三章，各章的主要内容如下：第一章通过空间分解和算子分块，研究了Hilbert空间上自伴算子关于Gudder序的确界性质。

By extending the concepts of supremum and infimum in real space to the casein any finite-dimensional Euclidean space a weak supremum set and infimumset theory with respect to cones for the set in finite-dimensional Euclideanspace is developed,and several similar properties to the set in real space are ob-tained,with the concepts of this weak supremumset,w-D-conjugate maps and w-D-subdifferentials theory for the point-to-setmap are developed,and its several properties and its relationships with weakefficient solutions of the multiobjective programming are studied.

推广实空间中上、下确界的概念至任意有限维欧氏空间，建立了有限维欧氏空间中集合的锥弱上、下确界集理论，得到了与实空间中十分相似的性质。借助于这一理论，应用上、下确界的概念，给出了点集映象的w-D-共轭映象及w-D-次微分理论，并研究了它们的若干特性及其与弱有效解之间的关系，此外还讨论了弱鞍点问题。

Firstly,by using the estimating methodfor the compact embedding operators(from weighted Sobolev space to the weighted〓space),we obtain a necessary and sufficient condition for the discreteness of thespectrum of certain differential operators.Secondly,based on the property of thespectrum of difinitizable operators on the Krein space,we consider the left definitedifferential equations with middle deficiency indices,and give a completecharacterization for self-adjoint(J-self-adjoint)differential operators in theindefinite inner product space 〓.Especially,we prove that all the J-self-adjoint differential operators are definitizable.

我们首先运用加权Sobolev空间到加权〓空间嵌入算子紧性的判别方法，证明一类加权自伴微分算子具有离散谱的充要条件；然后，基于Krein空间上可定化算子谱的性质，对于具中间亏指数的左定型微分方程，建立其相应的微分算式在不定度规空间〓上所生成自伴算子的完备性刻画（特别证明了J-自伴微分算子具有可定化性）。

The goal of this dissertation is to explore the chemical synthesis and properties of inorganic materials and their nanostructures.

本论文在综合考虑这三方面的基础上，旨在探索一些无机材料及其纳米结构的化学合成与性质。

Furthermore, it is a perfect technique to study interfacial phenomenon and control its characteristics accurately at molecule level.

它更为研究表面和界面现象提供了从分子水平上精确控制界面性质的理想方法。

According to Nature , this machine was exhibited at the Exposition Internationale d'Electricité, in both the Russian and German sections.

根据性质，这台机器上展出在国际博览会-电力，不论是俄罗斯和德国的部分。

Methods The irrigator with ozone was designed on the basis of developmental status of ozone technique combining with the technique of modem microchip, integration circuit and module software.

在臭氧相关性质和臭氧技术的发展成果基础上，结合现代微处理器技术和集成电路技术，研制臭氧冲洗仪。

The concepts of lattice measure and lattice integral on an l〓-module, some important properties were obtained.

在l〓-模上讨论了格测度和格积分的概念，得到了若干性质； 5。

This dissertation focuses on the spherical wavelet expansion of the earth gravity field and its application. Based on the concept of the integration approaches and radial basis functions the spherical wavelet is put forward, with that the earth gravity field is described in a new way, and some other researches are conducted, they are: spherical wavelet regularization, multiscale approximation of satellite gravity measurement, down continuation of airborne geavimetry data, the least squares properties of geopotential wavelet approximation, the spherical wavelet solution of two kinds of BVP and spherical selective multiscale reconstruction.

本文围绕地球重力场的球面小波展开及其应用进行研究，在积分逼近与径向基函数概念的基础上引入了球面小波，利用球面小波对重力场展开进行了重新表示，在此基础上进行了球面小波正则化、卫星重力多尺度逼近、航空重力数据向下延拓、重力场球面小波逼近的最小范数性质、两类边值问题的球面小波实用解、球面选择多尺度去噪方法等方面的研究。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。