中值

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

It was shown that the stable carbon isotope composition of beef tissue was primarily dependent on the diet the animals were fed,meanwhile theδ~(13)C values of cattle tail hair, defatted muscle and crude fat all enhanced with the increment of the proportions of C4 constituents in diet, but those values were on the contrary with the enhancement of the proportions of C3 constituents. Moreover, allδ~(13)C values of different tissues were significantly correlated with the content of C4 and C3 plant material. So, the main component of cattle feed could be investigated with the help ofδ~(13)C values. Theδ~(15)N values of beef tissues were affected by feed composition to some extent, but it had no regularity. The cattle tail hair and defatted muscle enriched in 13C to their feeds gave different results between the two groups, but cattle tail hair enriched in 15N much more than defatted muscle and in the proportion of 3‰- 5‰, plus, cattle variety and individual had effect on the proportion of enrichment.

结果表明，牛组织中碳同位素组成主要受饲料的影响，牛尾毛、脱脂肌肉、粗脂肪中的δ~(13)C值随着C4植物含量在牛饲料中的比例增加而升高，随着C3植物含量在牛饲料中的比例增大而降低，并且均与C4、C3植物含量呈极显著的相关性(P.01)，用牛组织中的δ~(13)C值可以调查牛饲料中的主要成分；牛组织中的氮同位素一定程度上受饲料因素的影响，但未随饲料组成成分的改变而呈现规律性变化；牛尾毛、脱脂肌肉相对饲料对13C的富集比例两组试验结果不一致，牛尾毛对15N的富集比例大于脱脂肌肉，富集比例约在3‰- 5‰，饲料种类、牛个体等因素对富集比例均有一定影响；牛尾毛、脱脂肌肉、粗脂肪中的δ~(13)C值三者之间相关性达到极显著水平(P.01)。

First, it was to obtain two binary images from segmenting image by two thresholds. Second, erosion, opening and closing were done to the two images according to some knowledge of the shape and location of the objects in the image that we have already known. Last, the edge information from the image segmented by a high threshold was put into the image segmented by a low threshold. It is the way to segment and discern circular objects accurately from the complex image and can greatly improve the accuracy rate of discerning.

首先分别根据两个阈值进行分割得到两幅二值图像，然后根据目标是圆形以及其大致位置等先验知识分别对两幅图进行腐蚀，开启，闭合等数学形态学运算，将高阈值分割得到的图像中的边界信息叠加到低阈值分割得到的图像中，实现对复杂背景图像中圆形物体的准确分割与提取，解决了复杂背景图像中物体识别率低的问题。

The synthesis scheme we developed can deal with changes in visibility, produce perspectively correct views and handle the distortion around the circumferences in the synthesized views. In our scheme, the area without corresponding points was first determined by using Fourier transformation in order to deal with distortion problem, within the mutual overlapped area the z-buffer values of matched key points were computed so that the visibility in novel views can be handle correctly, lastly the common points in new views are rendered through epipolar geometry constraint.

算法的步骤为：利用傅立叶变换方法确定相邻源图像无对应点的区域；然后，利用尺度空间和相位一致原理在共同区域提取及匹配边缘上的关键点，计算其深度值，并在新图像中由该值判别虚拟图像中的可见性；再由关键点恢复极线约束，通过极线间的位置和颜色插值生成虚拟图像中有对应区域的一般点；在确定极线位于无对应点区域段后，利用加权平均或放大插值的方法实现了源图像无对应点区域在虚拟图像中的自然过渡。

Because of the uncertainty of indexes in the process of classifying solonchak soil,the entropy value theory is applied to combining the traditional fuzzy comprehensive evaluation method for salt-affected soil classification.

针对盐渍土分类中客观存在的模糊性与随机性，将信息论中的熵值理论引入盐渍土综合评价中，运用信息熵所反映数据本身的效用值计算盐渍土评价中各指标的权值，使得权值的分配有了一定的理论依据，并结合传统的模糊综合评判法对盐渍土做出评价。

The basic theories of mathematical morphology for binary image are stated, and the most simple structure elements of morphologic transformation for binary images are proposed and proved. The geodetic morphologic transformation models are also developed. For the purpose of improving the speed of transformation in computer, the"set symmetric difference"is introduced to adapt each model. Some new morphologic filtering models and quantitative evaluating model of filtering effects in image processing are proposed, under the applied condition. The morphologic thinning methods are studied, and two new morphologic thinning models are developed. On the basis of analyzing the characteristics of mining maps, the image vectorizing tactics and a series of algorithms are proposed, including dynamic adaptive image thresholding using two thresholds, graphic and text separation, noise removal, and multi elements extracting models with mathematical morphology. Accuracy preserving compressed vectorizing model for image vectorization is put forward to generate vector data in multi layer.

论文对二值图象形态学的基础理论进行了较系统的阐述，提出并证明了二值图象处理中形态变换的最简单结构元素，并发展了测地形态变换模型；为了提高形态变换的计算机实现速度，引入了集合论中"对称差"的概念对各形态变换模型进行了改化；针对数学形态学在图象处理中的实际应用，提出了新的形态滤波模型及滤波效果的度量评价模型；研究了形态细化方法，提出了快速形态细化和保形快速形态细化算法；在研究矿图基本特征基础上，提出了人机协同矿图扫描图象矢量化处理策略及一系列扫描图象处理算法模型，包括双阈值动态自适应图象二值化、图文分离、噪声去除、图面多种要素提取形态变换模型等；在图象栅格—矢量转换中，提出了保精度压缩矢量化模型，以生成分层要素矢量数据。

In this dissertation, InGaAs/InGaAsP/InP MQW microdisk laser and its characterization were presented. Some conclusions are as following: the characteristics of lasing threshold was discussed by using rate equation. The dependent relations between threshold and cavity volume, spontaneous emission coupling efficiency β were investigated. The whispering gallery mode and spontaneous emission in a microdisk geometry were then studied. Almost all spontaneous emission was coupled into the lowest order TE mode when the normalized thickness of photonics well was between 0.15 and 0.5. The design principle and device process of InGaAs/InGaAsP/InP MQW microdisk laser were presented. The microdisk lasers with the diameter of 8μm, 4. 5μm and 2μm were succesfully fabricated by using etching techniques. The pulse lasing thresholds for the microdisk with the diameter of 8μm and 4. 5μm were 170μW and 15μW, a record results compared with the published in the literature. The cw lasing threshold for a 2-μm-diameter microdisk was only a few μW. We haven't found similar report up to now. To solve the problem of directional output in a microdisk laser, the power coupling efficiency in a double disk geometry was investigated with the theory of waveguide mode couple. A new structure of electrically pumped microdisk laser with output waveguide was designed, making a foundation for the practical use of microdisk laser.

本文主要研究InGaAs/InGaAsP/InP多量子阱半导体碟型激光器的研制和特性表征，并取得如下结果：利用速率方程理论讨论了激光器激射阈值的特性，分析了阈值与腔体积和自发发射耦合系数β之间的关系；讨论了微碟光子阱结构中的自发发射特性和微碟中WGM模式特性；光子阱结构在其归一化厚度在0.15-0.5之间时，几乎全部自发发射进入到最低阶TE模式中；研究了InGaAs/InGaAsP/InP多量子阱微碟激光器的结构设计原理和器件的制备工艺；利用刻蚀方法成功制备出直径分别为8μm、4.5μm、2μm的碟型微腔激光器；直径8μm和4.5μm的微碟脉冲光泵浦激射阈值分别为170μW、15μW，是目前所见文献报导中比较低的；直径2μm的微碟连续光泵浦激射阈值仅几μW，目前尚未见到达到类似结果的研究报导；为解决微碟激光器激射光定向引出的问题，通过波导耦合模理论分析了双层碟之间功率耦合效率；据此设计了新型带耦合输出波导的电泵浦微腔激光器，为进一步研制可实用的电泵浦微腔激光器打下基础。

DNA C-values might be one of important indices in the evaluation of angiospermous invasiveness. To test this viewpoint, we compared DNA 1C-values and basic genome sizes in 3,676 angiosperms. The results suggest that:(1) the two nuclear values vary greatly among different groups, e.g., significantly higher in herbs than in trees, in monocots than in dicots, in perennials than in non-perennials;(2) the two nuclear values both have significant effects on plant invasiveness, especially in herbs, dicots, monocots, perennials, non-perennials, diploids, polyploids, Compositae, and Poaceae, while not significant in trees and Fabaceae.

DNA C值与被子植物入侵性密切相关，为考察应用DNA C值评估被子植物入侵性的可靠性和局限性，我们统计分析了全世界范围内3676种被子植物的DNA 1C值（配子未发生DNA复制时的染色体DNA含量）及基因组大小（单个染色体组的DNA 含量），结果表明：1）DNA 1C值和基因组大小在被子植物不同类群中差异极大，例如在草本植物中显著高于木本植物，单子叶植物显著高于双子叶植物，多年生植物显著高于非多年生植物；2）两项指标都与被子植物入侵性显著负相关，尤其是在草本植物、双子叶植物、单子叶植物、多年生植物、非多年生植物、二倍体、多倍体、菊科和禾本科中，然而在木本植物、豆科植物中其与植物入侵性无显著关系。

The method includes dividing a digital image, formed from M rows and N columns of pixels, into a plurality of band-shaped areas by partitioning at each of a prescribed number of rows; averaging, for each column, the gradation values of pixels in said band-shaped areas for each of said plurality of band-shaped areas; computing an approximation line which approximates, in each of said plurality of band-shaped areas, a distribution of said average of gradation values; and judging whether there exists a succession of d columns at which the difference between said gradation value derived from said approximation line and said average of gradation values for each column exceeds a prescribed threshold.

该方法包括：通过以规定行数为单位进行分割，将由M行N列个像素形成的数字图像划分为多个带状区域；对于所述多个带状区域的每一个，针对各列来对所述带状区域中的像素的浓淡值求平均；计算近似线，该近似线在所述多个带状区域的每一个中近似于所述浓淡值的平均值的分布；并且判断是否存在如下连续的d个列，在所述连续的d个列中，从所述近似线得到的所述浓淡值与针对各列的所述浓淡值的平均值之间的差值超出一指定阈值。

The results indicated Paecilomyces farinosus was aerobic fungus and rotate speed of rocking bed exceeded 150r/min would benefit the mycelium growth.Initial inoculum could affect the time of reaching maximal mycelial bioass and could not affect the maximal mycelial bioass.inoculum exceeding 5% would benefit t...

结果表明粉拟青霉是一种好气性真菌，摇床转速大于150r/min有利于该菌生长；接种量对菌丝最大产量影响不大，但是能够影响菌丝量达到最大值的时间；接种量大于5%，有利于菌丝产量迅速达到最大值；粉拟青霉菌在pH值为3～10的培养基中都能够生长，生长过程中能够分泌代谢产物主动调节pH值，该菌在pH为5～7的微酸环境中生长最快；液体发酵过程中粉拟青霉生长量与发酵时间的关系符合逻辑斯蒂生长模型。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。