Fuzzy半群的理想

该文定义了Fuzzy半群的右(左)理想、理想及极小理想,并初步讨论了它们的基本性质。     

工程项目进度计划优化方法的研究

网络计划技术是当前工程项目进行进度安排与控制时普遍采用的一种方法，但网络的工期—成本优化问题至今没有得到很好的解决，该文根据“最大流最小截”理论，针对多年来难以解决的工期，成本优化问题提出了解决方法，并通过一个简单的单代号网络例题说明其优化步骤和数学模型，使工期一成本优化很容易在计算机上实现，该方法对控制工程进度、降低工程成本具有积极意义。     

Sasaki空间形式的C-全实极小子流形

利用李安民和李济民（数学进展,１９９１,２０（３）：３７５）获得的一个矩阵不等式,讨论了Ｓａｓａｋｉ空间形式的Ｃ全实极小子流形．给出了关于第二基本形式长度的一个Ｐｉｎｃｈｉｎｇ定理,从而改进了Ｓ．Ｙａｍａｇｕｃｈｉ等人（Ｊ．Ｄｉｆ．Ｇｅｏｍ．１９７６,１１：５９）的有关结果     

不可修线形连续k-out-of-n:F系统的可靠性分析

从最小割出发,应用不交和的方法研究了不可修线形连续k-out-of-nF系统,得到了系统的失效概率计算公式,该算法的复杂度为O(nk).     

关于极小子流形截面曲率的一个性质

推广了 Yau S T [1]中的一个结论 ,给出了关于局部对称空间中极小子流形截面曲率的一个定理 .     

Hydrothermal synthesis of pyrrhotite (Fex-1S) nanoplates and their antibacterial, cytotoxic activity study

The aim of this study was to synthesize and characterize Fe_(x-1)S 2D-nanostructures with pyrrhotite phase,as well as to explore their biological(antibacterial and cytotoxic)properties,namely the expression of reactive oxygen species(ROS)in the exposure of cells and bacteria.Based on hydrothermal synthesis,the characterization of asprepared 2D-nanostructures was performed by XRD,SEM,EDS,and TEM,in which the single-crystalline pyrrhotite phased Fe_(x-1)S nanoplate morphology was observed.The antibacterial activities of Fe_(x-1)S nanoplates against human pathogenic strains such as Staphylococcus aureus,Escherichia coli,and Enterococcus faecalis were tested.Minimum inhibitory concentration(MIC)and minimum bactericidal concentration(MBC)were determined following the broth microdilution method.Cytotoxicity and expression of intracellular ROS of pyrrhotite nanoplates on Human Gingival Fibroblast(HGF),Human Pulp Cells(HPC)and Human Osteoblast(HBC)were calculated.Cell viability was determined by the MTT method.All experiments were performed of three independent experiments and data were analyzed by Kruskal-Wallis and Mann-Whitney tests,also Pearson′s Correlation was performed.The nanoplates exhibited good bactericidal effect.All types of cells tested showed slight cytotoxicity.It was found that intracellular ROS is produced when cells and bacteria tested are exposed to pyrrhotite nanoplates in presence of both air and peroxide hydrogen.ROS production levels were higher in the bacteria than the cells exposed to these nanoplates.     

射影平面上大面宽度(LEW)嵌入图的最小圈基

研究射影平面上LEW-嵌入(大面宽度嵌入)图G的最小圈基结构.结果表明:图G的最小圈基与其最短不可收缩圈之间有着一一对应关系.     

城市给水管网的优化配置研究

运用最小费用流理论,建立给水管网优化设计的数字模型.以达到在新建或扩建城市管道时,最大限度的降低城市配水管网的成本.     

一种稀疏非线性多元多项式的线性化算法

在有限域上非线性多元多项式的解集可以是任意向量集,在该向量集所属的空间上能够找到最小数量的陪集,并覆盖该向量集,用该最小数量的陪集来线性化原有多项式成为了可能。文章以《有限域上向量子集中的陪集及最小陪集覆盖》一文中提出的理论和算法为依据,提出了利用最小陪集覆盖线性化非线性多元多项式的算法,并给出具体实例加以说明。     

局部对称空间中的紧致极小子流形的Ricci曲率

设N^m＋p是截面曲率KN满足1/2〈δ≤KN≤1的n＋p维局部对称空间完备的δ-Pinching黎曼流形,M^n是N^m＋p中的紧致极小子流形。讨论了这类子流形关于Ricci曲率的pinching问题。