Size of Monochromatic Double Stars in Edge Colorings

We show that in every r-coloring of the edges of K _n there is a monochromatic double star with at least \(\frac{n(r+1)+r-1}{r^2}\) vertices. This result is sharp in asymptotic for r = 2 and for r≥ 3 improves a bound of Mubayi for the largest monochromatic subgraph of diameter at most three. When r-colorings are replaced by local r-colorings, our bound is \(\frac{n(r+1)+r-1}{r^2+1}\).     

基于全向小波和Hausdorff距离的边缘检测

针对传统小波变换对含噪图像边缘检测的不足,结合全向小波和Hausdorff距离的知识,提出了一种改进的边缘检测算法.首先,对图像做全向小波变换,同时做改进的灰度图形态学处理;然后在一定的窗口下求处理后图像间的Hausdorff距离,并将其大小作为图像边缘检测的像素值.最后将该算法与Sobel算法、Canny算法做比较,实验结果表明该方法提取的边缘清晰度优于其他方法,且可以很好地抑制噪声.     

B-SERIES METHODS CANNOT BE VOLUME-PRESERVING

Volume preservation is one of the qualitative characteristics common to many dynamical systems. However, it has been proved by Kang and Shang that e.g. Runge–Kutta (RK) methods can not preserve volume for all linear source-free ODEs (let alone nonlinear ODEs). On the other hand, certain so-called Exponential Runge–Kutta (ERK) methods do preserve volume for all linear source-free ODEs. Do such ERK methods perhaps also preserve volume for all nonlinear ODEs? Here we prove that the answer to this question is negative; B-series methods (which include RK, ERK and several more classes of methods) cannot preserve volume for all source-free ODEs. The proof is presented via the theory of K-loops, which is an extension of the theory of classical rooted trees.     

基于分形理论的红外图像边缘检测

提出了利用分形理论进行红外图像边缘检测的方法,比较了根据单一分形维数和根据多尺度分形维数两种方法的边缘检测结果,从而得出：分表理论可以用于红外图像的边缘检测,并且根据多尺度维数的方法能获得较好的边缘检测结果。     

Time Evolution of Microbial Composition and Metabolic Profile for Biogenic Amines and Free Amino Acids in a Model Cucumber Fermentation System Brined with 0.5% to 5.0% Sodium Chloride

Salt concentrations in brine and temperature are the major environmental factors that affect activity of microorganisms and, thus may affect formation of biogenic amines (BAs) during the fermentation process. A model system to ferment cucumbers with low salt (0.5%, 1.5% or 5.0% NaCl) at two temperatures (11 or 23 °C) was used to study the ability of indigenous microbiota to produce biogenic amines and metabolize amino acid precursors. Colony counts for presumptive Enterococcus and Enterobacteriaceae increased by 4 and up to 2 log of CFU∙mL⁻¹, respectively, and remained viable for more than 10 days. 16S rRNA sequencing showed that Lactobacillus and Enterobacter were dominant in fermented cucumbers with 0.5% and 1.5% salt concentrations after storage. The initial content of BAs in raw material of 25.44 ± 4.03 mg∙kg⁻¹ fluctuated throughout experiment, but after 6 months there were no significant differences between tested variants. The most abundant BA was putrescine, that reached a maximum concentration of 158.02 ± 25.11 mg∙kg⁻¹. The Biogenic Amines Index (BAI) calculated for all samples was significantly below that needed to induce undesirable effects upon consumption. The highest value was calculated for the 23 °C/5.0% NaCl brine variant after 192 h of fermentation (223.93 ± 54.40). Results presented in this work indicate that possibilities to control spontaneous fermentation by changing salt concentration and temperature to inhibit the formation of BAs are very limited.     

基于左右导数算子类的边缘提取

根据图像灰度的左右导数及其性质构造了几个提取和检测图像阶跃型边缘和屋顶型边缘的算子,并从理论和实验结果上同Ｐｒｅｗｉｔｔ 算子、Ｓｏｂｅｌ 算子、Ｃａｎｎｙ 算子及Ｌａｐｌａｃｉａｎ 算子等进行了比较和分析,发现此类算子包含了这些重要的传统微分算子,而且还具有算法简单灵活,检测精度高和抗噪声干扰能力较强等优点。实验结果还表明在没有进行进一步细化加工的情况下,文中所述的广义左右导数算子无论是检测阶跃型边缘还是屋顶型边缘,其效果都要比上述传统微分算子好     

一种新的闪光照相图象边界检测方法

介绍了一种用于闪光X光照相图象的边界检测方法,称为计算对比法.对于投影成象,由于成象系统的非理想特性,实际照相特性的边界与理想成象图象的边界之间往往存在一位置差,我们称之为边界退化量.模糊图象的边界检测问题主要就是边界退化量的检测问题.本文提出的计算对比法根据闪光X光照相图象的退化模型进行计算模拟成象,用从模拟图象上得出的边界退化量对实际成象图象的位置进行校正.从而达到精确检测实际图象的目的.用这种方法对多幅模拟成象图象进行了处理.     

The preservation of Sahlqvist equations in completions of Boolean algebras with operators

Monk [1970] extended the notion of the completion of a Boolean algebra to Boolean algebras with operators. Under the assumption that the operators of such an algebra are completely additive, he showed that the completion of always exists and is unique up to isomorphisms over . Moreover, strictly positive equations are preserved under completions a strictly positive equation that holds in must hold in the completion of . In this paper we extend Monk’s preservation theorem by proving that certain kinds of Sahlqvist equations (as well as some other types of equations and implications) are preserved under completions. An example is given that shows that arbitrary Sahlqvist equations need not be preserved. Received May 3, 1998; accepted in final form October 7, 1998.     

传统古村落的保护与发展--以宁波余姚柿林村为例

针对古村落发展面临的现实和潜在的问题,以四明山腹地宁渡余姚柿林村为例,探讨了古村落在市场经济条件下的管理制度与保护机制．     

条浒苔多酚对加州鲈鱼冷藏期间品质影响的研究

用4种不同浓度的条浒苔多酚(Enteromorpha clathrata polyphenols, ECPs)溶液处理新鲜加州鲈鱼块后置于4℃贮藏,结合感官评分、菌落总数、挥发性盐基氮(TVB-N)、硫代巴比妥酸(TBA)值、肌原纤维蛋白巯基含量、表面疏水性、肌肉色差和质地剖面分析(TPA)等指标,综合评估其对鱼块货架期的影响.结果表明,在4℃贮藏条件下, ECPs处理能有效抑制鲈鱼贮藏期间TVB-N值、TBA值和菌落总数的增加,减缓蛋白氧化和品质劣化进程,从而达到延长货架期的作用.当ECPs浓度为0.20%时,其对鲈鱼鱼块的保鲜效果最佳,能延长鲈鱼货架期6 d.