数的几何

The works in the project just done can be summarized as five respects.(1) A device was designed to fabricate the asymmetrical resonant cavities by a pendant drop. A series ARCs with variable parameters provides a valuable experimental method for investigating the characteristics of ARCs.(2) The relationship between the number of active modes and the shape parameters in an ARC was investigated. The experimental lasing threshold was compared with theoretical result, the good agreement between two shown that it was the decrease of the number of active modes in an ARC that decreased lasing threshold.(3) Dye lasing gain was used to enhance the signals of stimulated Raman scattering of the weak gain Raman modes in a circular cavity made by a pendant drop, the instantaneous SRS spectra of weak gain Raman modes in ethanol was obtained by this new method.(4) The SRS signals of minority compound in a binary chemical complex was obtained by using dye lasing gain method. The detection concentration of minority compound was reduced to an order compared with normal SRS method.(5) A cylindrical circular cavity was formed by a liquid jet, which was used to reduce the pump intensity required for laser induced plasma spectroscopy. The limit of detection of trace element in aqueous sample was greatly decreased by this new method.

我们设计并成功制作了使悬垂液滴连续变形的装置，用此装置可以方便地改变非圆对称谐振腔的几何参数，为ARCs的研究提供了一种有效的实验方法；研究了ARCs中活性模式数和变形参数间的变化规律，激光阈值的数值计算结果和激光辐射的实验结果作了比较，二者吻合的曲线说明ARCs中活性模式数量的减少是受激辐射放大阈值降低的原因；在由单元化合物构成的微型圆对称谐振腔中，首次尝试用"激光增益"增强弱增益拉曼模式的受激拉曼散射信号，获得了乙醇分子中弱增益拉曼模式的瞬态SRS光谱；在由二元混合物构成的微型圆对称谐振腔中，用染料的激光增益增强了少量化合物的SRS信号，把少量化合物的SRS信号探测浓度降低了近一个数量级，在SRS应用于瞬态过程的组份分析方面做了卓有成效的探索；用石英毛细管形成的稳定液拄构成拄形谐振腔，降低了激光诱导等离子体光谱需要的激励能量，有效地降低了水相样品的痕量元素分析极限，为LIPS应用于微量元素的化学分析开拓了一条新的技术路线。

Firstly, we introduce the technology of seismic geometric attribute for fault identification detailedly at home and abroad. Secondly we study the coherence, texture,curvature attribute and tricolor display technology of RGB to identify fault; In the part of coherence,we compare the traditional algorithms with model and actual data,mainly study the geometric structural tensor and wavelet multi-scale sub-frequency coherent algorithm; In the part of texture attribute, we introduce texture energy, texture contrast, texture entropy and texture homogeneity attribute.By merging texture attributes of different directions,the effect are more clear; In the part of curvature attribute,we study and analyze fractional-order curvature attribute's extraction and its application in fault identification; The RGB display technology mainly introduces how to merge multi-attributes in order to getting more richer and more clearer information.

首先具体先容了地震几何属性识别断层技术的国内外研究现状；然后分别研究了相干属性、纹理属性、曲率属性和RGB三原色显示技术来识别断层；其中相干属性通过模型和实际资料对传统相干体算法进行了对比，重点研究了几何结构张量相干体算法和小波多标准分频相干体算法；纹理属性主要先容了纹理能量、纹理对比、纹理熵和纹理一致性属性，通过对不同方向的纹理属性进行融合，效果更清楚；曲率属性重点分析了分波数曲率属性提取及其在断层识别中的应用；RGB三原色显示技术则主要先容了如何进行多属性融合来或得更丰富、清楚的信息，在此基础上开发了基于。

Adjacency search, double linked element list, random direction search, adjacency rotation, and heredity of geometrical quantities are applied to increase the efficiency of mesh generation. The relationship between the computing time and the number of generated elements is nearly linear and the time complexity is O(N^1.05), where N is the number of elements.

采用了邻接单元搜索、双向链表存储、随机方向搜索、邻接旋转、几何量继承等技术，使算法的计算时间与生成单元数近似呈线性关系，时间复杂度达到O(N^1.05)，N为生成单元数。

The procedure estimating the regularization parameter is the same as that the adaptive Marquardt algorithm used. The Frechet derivative is directly derived from the forward methods: SAM and FEM. With the theory of SAM and Zhang′s geometric factor, the relationship between the Frechet derivative and the geometric factor is established, at the same time, one useful corollary is given, i.

选取正则化因子时，沿用自适应的Marquardt算法中阻尼因子的选取计算方法；计算Frechet导数时，根据逐次逼近解法和张氏几何因子理论，推导出了Frechet导数与张氏几何因子的关系，得出了Frechet导数为张氏一阶积分几何因子的结论。

How to appropriately use "Geometer's Sketchpad," in the classroom to Geometer's Sketchpad more conducive to the application of Shuoxingjiege the mathematical way of thinking, this paper is to be of concern.

如何适度使用《几何画板》，在课堂中让几何画板的应用更有利于体现数形结合的数学思想方法，是本篇论文所要关注的。

This paper is divided into two parts: The first part focuses on Shuxingjiehe thinking, focuses on the history of Shuoxingjiege thinking of the sources, definitions and principles of teaching the second part focuses on Geometer's Sketchpad in Shuoxingjiehe thinking of the application of the status quo , On how to strengthen the Geometer's Sketchpad Shuxingjiege thinking in the application of the discussion.

本文主要分为两部分：第一部分内容侧重于数形结合思想，主要论述了数形结合思想的历史来源，定义和教学原则；第二部分着重于几何画板在数形结合思想中应用的现状分析，对如何加强几何画板在数形结合思想中的应用进行了讨论。

This paper proposes a cluster analysis approach based on geometric probability, which determines the classification number directly according to the distributive characteristics of pixels in the spectral space by utilizing geometric probability and gradually generates the hierarchical classification system beginning at the top level.

本文提出基于几何概率的聚类分析方法，该方法运用几何概率直接根据像元在灰度空间中的分布特征决定分类数，按照先分大类、后分小类、逐层细分的顺序确定分类方案。

Result The maximum concentration of those 13 PCBs in mother's milk was 237 ng/g lipoid,the geometric mean was 138 ng/g lipoid;while the maximum and geometric mean concentrations of the 13 PCBs in cord blood were 102 ng/g lipoid and 56.9 ng/g lipoid respectively.

结果母乳中13种PCBs总浓度的最大值为237 ng/g类脂，几何均数为138 ng/g类脂。脐带血中13种PCBs总浓度的最大值为102 ng/g类脂，几何均数为56.9 ng/g类脂。

The new technique reduced the distance ladder to three "rungs":(1) The distance to galaxy NGC4258 is measured using straightforward geometry and Kepler's laws;(2)Cepheids in six more distant galaxies are used to calibrate the luminosity of Type Ia supernovae;(3) The Hubble constant is measured by observing a brighter milepost marker, Type Ia supernovae, in more distant galaxies hundreds of millions of light-years away, embedded in the expanding universe.

这种新技巧简化了距离跳跃为三个&阶梯&：1、星系NGC 4258的距离采用开普勒定律和简单直接的几何方法精确测量；2、在6个更远的星系中的造父变星用来校准Ia超新星的光度；3、深嵌于数亿光年外的膨胀宇宙中的星系中的Ia超新星——一种遥远而明亮的量天尺，被用于精确测定哈勃常数。

Influence of limestone powder admixture on working performance of concrete;2. Non-linear analysis of coordinated working performance between infilled wall and steel frame;3. Based on large quantity experiment data,the working performance criteria Lz of self-rotating spring is generalized which is believed to be valuable to .

换热管内插自旋弹簧的几何参数对其强化传热和自动除垢效果有重要的影响，通过对多组试验结果的比较分析，得出了无量纲参数D1/S、D1/D0对换热管内自旋弹簧的转动特性和流体阻力特性的影响规律，并在大量试验数据的基础上归纳出一个换热管内自旋弹簧工作性能的综合评判准则——L z准数。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。