关于图的减控制与符号控制

给定一个图G=(V,E),一个函数f:V→{-1,0,1}被称为G的减控制函数,如果对任意v∈V(G)均有∑_μ∈N[v]f(μ)≥1。G的减控制数定义为γ^-(G)=min{∑_v∈Vf(v)|f是G的减控制函数}。图G的符号控制函数的正如减控制函数,差别是广{-1,0,1}换成{-1,1}。符号控制数γ_s(G)是类似的。本文获得γ^-G)和γ_s(G)的一些下界。同时也证明并推广了 Jean Dunbar等提出的一个猜想,即对任意 n阶 2部图 G,均有γ^-(G)≥ 4(n+1^1/2-1)-n成立。     

关于图的下完美邻域数的上界一些结果

本文主要讨论了图的下完美邻域数 ,并给出了θ(G) =γ(G)的充分必要条件 ,并讨论了一些特殊图类的下完美邻域数的上界 ,特别对于树采用了对所有点分层的方法进行了较细致的讨论 ,给出了紧上界θ(T)≤ [n3] .     

区间数的排序方法研究

指出献^[3-5]所定义的用于区间数排序的可能度存在的不足,分别给出了刻画区间数大小比较的相对优势度的定义和模糊互补矩阵排序的一种新方法。在此基础上,给出了区间数的一种排序方法。     

The tame kernel of imaginary quadratic fields with class number 2 or 3

This paper presents improved bounds for the norms of exceptional finite places of the group , where is an imaginary quadratic field of class number 2 or 3. As an application we show that .

     

Poincaré duality in P.A. Smith theory

Let , or more generally be a finite -group, where is an odd prime. If acts on a space whose cohomology ring fulfills Poincaré duality (with appropriate coefficients ), we prove a mod congruence between the total Betti number of and a number which depends only on the -module structure of . This improves the well known mod congruences that hold for actions on general spaces.

     

一个素变数丢番图不等式

本文证明了如果1相似文献   

Study of absorption spectra of gasolines and other hydrocarbon mixtures in the second overtone region of the CH<Subscript>3</Subscript>, CH<Subscript>2</Subscript>, CH groups

We have obtained experimental and model absorption spectra for individual hydrocarbons (toluene, benzene, n-heptane, and iso-octane) and their mixtures in the near IR range (λ = 1080–1220 nm). We model the spectra of nonsynthetic gasolines obtained under the same conditions by combining the spectra of three pure hydrocarbons. We show that the octane number of the studied gasoline is linearly related to the toluene (or benzene) concentrations in the model mixture. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 74, No. 2, pp. 157–161, March–April, 2007.     

机器人通过奇点的运动学逆问题的数值解法

机器人在完成其规划动作时,常可能要通过其运动链的奇点,这时求解其运动学逆问题的通用算法遇到本质的困难,本文给出了一种算法,它可以成功地克服这个困难。文中还给出了计算实例。     

激光靶耦合中的部分角量子数平均原子模型

在一维平面非平衡多群辐射输运激光靶耦合总体程序RDMG角量子数平均原子模型的基础上,针对程序在计算如Au等高Z元素时,所需计算能级太多,计算量大的问题,合理的提出了只在部分能级考虑角量子数,其它能级考虑主量子数的部分角量子数平均原子模型.对比了新旧模型的数值模拟结果,结果显示,新模型得到了与原模型符合的很好的物理图像,同时计算时间由于计算能级数的减少而大大降低.     

Analyzing radiation absorption difference of dental substance by using Dual CT

The purpose of this study was to evaluate the changes of noise and computer tomography (CT) number in each dental substance, by using the metal artefact reduction algorithm; we used dual CT for this study. For the study, we produced resin, titanium, gypsum, and wax that are widely used by dentists. In addition, we made nickel to increase the artefact. While making the study materials, we made sure that there is no difficulty when inserting the substances inside phantom. In order to study, we scanned before and after using the metal artefact reduction algorithm. We conducted an average analysis of CT number and noise, before and after using the metal artefact reduction algorithm. As a result, there was no difference in CT number and noise before and after using the metal artefact reduction algorithm. However, when it comes to the noise value in each substance, wax's noise value was the lowest whereas titanium's noise value was the highest, after applying the metal artefact reduction algorithm. In nickel, CT number and noise value from artefact area showed a decreased noise value when applying the metal artefact reduction algorithm. In conclusion, we assumed that we could increase the effectiveness of CT examination by applying dual energy's metal artefact reduction algorithm.