相似原理

By the partial estimate principle established in Ref. [46] and the special structure of the self-similar sets, we can get a better upper bound of the Hausdorff measure by means of a better covering set.

主要是利用文[46]中的部分估计原理，同时结合所考虑的自相似集的特殊结构，寻找一个较好的覆盖集合，得出其Hausdorff测度的一个上界。

There must be first, a vitious will' In his Introduction to the Principles of Morals and Legislation [2][2] under the heading 'Cases unmeet for punishment' Bentham sets out a list of the main excusing conditions similar to Blackstone's; he then undertakes to show that the infliction of punishment on those who have done , while in any of these conditions, what the law forbids 'must be inefficacious: it cannot act so as to prevent the mischief'.

在其《道德与立法原理导论》中22[2]，边沁在"不适用惩罚的情况"这一标题下，列举了一连串与布莱克斯通所列情况相似的主要的免责条件。然后，他力图表明，对在任何这样的情况下实施法律所禁止的行为的人适用惩罚，"必定是无效的：它不可能起到防止损害的作用。"

Application of HHGL to lithium atom As a starting point for exactly solving schrodingerequation for lithium,the part has twofold purpose,one isto derive the coupled hyperradial differential equation,and discuss whether HHGL can be used or not,the other isto build the symmetric basis functionfor twodimensional irreducible representation of 〓 permutationgroup and estimate the ground-state eigenenergy.

首先根据Pauli原理的要求，将N电子原子的波函数向〓群不可约表示之基展开，积分掉角度部分，推导出N电子原子的超球径耦合微分方程，其形式与氦原子耦合微分方程相似，差别表现在矩阵元〓的计算上。

In LNG factories, there were many disadvantages like the cost will be extremely high because huge quantities of isopentane had to be used in the previous debenzene technology by use of the similarity and compatibility theorem.

LNG工厂原来的脱苯工艺是利用"相似相溶"原理，用异戊烷脱苯，但存在异戊烷消耗量太大，成本较高等诸多弊端。

By the integration of wavelet transforms and fractal coding and by use of self-similarities, the image compression coding based on wavelet transforms and fractal coding is proposed with the iterated function system.

对小波变换、分形压缩编码的原理和特点进行了分析；结合小波变换和分形压缩编码，利用分形的自相似，研究了基於小波域的分形图像压缩方法。

Based on the outcome of Xu Yang and Qin Keyun about lattice implication algebra and lattice-valued prepositional logic LP with truth-value in a lattice implication algebra, the author studied the properties of lattice implication algebra and the α-automated reasoning method based on α-resolution principle of LP. The specific contents are as follows: The Study of Lattice Implication Algebra On the basis of previous results of lattice implication algebra, this part consists of the following three points: 1. Some properties of lattice implication algebra L were discussed, and some important results were given if L was a complete lattice implication algebra. 2. The properties of left idempotent elements of lattice implication algebras were discussed, and the conclusion that lattice implication algebra L was equals of the directed sum of the range and dual kernel of a left map constructed by a left idempotent element was proved. 3. The properties of the filters of lattice implication algebra were discussed, the theorem was shown that they satisfy the hypothetical syllogism and substitute theorem of the propositional logic. 4. The concept of weak niters of lattice implication algebras and their properties and structures are discussed. It is proved that all weak filters of a lattice implication algebra form a topology and the the implication isomorphism betweem two lattice implication algebras is a topological mapping between their topological spaces. The Study of α-automated reasoning method based on the lattice-valued propositional logic LP In this part, the author given an a-automated reasoning method based on the lattice-valued propositional logic LP.

本文基于徐扬和秦克云的关于格蕴涵代数和以格蕴涵代数为真值域的格值命题逻辑系统LP的研究工作，对格蕴涵代数以及格值命题逻辑系统LP中基于α-归结原理的自动推理方法进行了系统深入的研究，主要有以下两方面的研究成果：一、关于格蕴涵代数的研究 1、对格蕴涵代数的格论性质进行了研究，得到了当L为完备格蕴涵代数时，关于∨，∧，→运算的一些结果； 2、对格蕴涵代数的左幂等元进行了研究，证明了格蕴涵代数L可以分解为任何一个左幂等元所对应的左映射的像集合与其对偶核的直和； 3、对格蕴涵代数的滤子的性质进行了研究，证明了滤子的结构相似于逻辑学中的Hypothetical syllogism规则和替换定理； 4、给出了格蕴涵代数中弱滤子的概念，对弱滤子的性质个结构进行了研究，证明了格蕴涵代数的全体弱滤子构成一个拓扑结构，格蕴涵代数之间的蕴涵同构是相应的拓扑空间之间的拓扑映射。

Type YZF duck-billed valve, also be called "rubber flexible check-valve", it has function similar to tide gate, flapper gate but its working principle and structure is different, its mounting pattern is generally classed to pipe hoop form and flange form( flange form is generally used in case that latus rectum is larger than DN800, otherwise pipe hoop form is used).

YZF 型鸭嘴阀，又称"橡胶柔性止回阀"，与潮门，拍门功用相似，但工作原理和结构不同，其安装形式一般分为管箍式和法兰式（法兰式一般大于通径 DN800，管箍式一般小于通径 DN800），本体材质为橡胶，可广泛用于排水管出口，防止水流倒灌，造成事故。

The mechanism of this system is similar to that of lithium ion batteries.

该体系的原理与锂离子电池很相似，从本质上说属于一种特殊的锂离子电池。

Introduction of Probability, Schrodinger Equation, Uncertainty Principle, One Dimensional Quantum Systems, Linear Space and Matrices, Diagonalization of Matrices, Eigenvalues and Eigenvectors, Similarity Transformation, Central Field Systems, Helium Atoms, Angular Momentum.

量子力学( S0310)(3，0)机率简介、薛丁格方程式、测不准原理、一维量子系统、线性空间及矩阵、矩阵的对角化、本徵值及本徵向量、相似变换、中心场系统、氢原子系统、角动量。

The principles involved are similar to those of paper chromatography and, like paper chromatography, two-dimensional methods can also be employed.

这个技术的原理与纸层析相似，还可以进一步将二维技术应用其中。

I am sure after a few weeks of adaptation and familiarization I will have no difficulty in functioning on a daily basis in an English speaking society or in participating fully in graduate studies.

在大学的三年的学习生活不仅给予我自身的充实，更重要的是磨练和培养了我较强的自觉能力和严谨，踏实的作风以及不怕困难的精神，对未来充满了信心！

As the first volcanoes erupted, one of the gases that bellowed out was steam.

在第一批火山喷发时，喷出的气体之一就是水蒸汽。