矩阵1秩半群的自同构

设D~(n×n)是体D上的n×n矩阵半群,整数r适合0≤r≤n,称s_r={X∈D~(n×n)|ranKX≤r}为D上n阶矩阵r秩半群。在r≤1的限制下,确定了S_r的自同构形式。     

资本市场中的头羊-从羊模型

针对目前中国证券市场中普遍存在着个人投资者对机构投资者的羊群行为这一特殊现象 ,建立了一个头羊 -从羊模型 .通过一定的参数假设和计算 ,定量地指出这种羊群行为增加了资产价格的波动 ,并且在大多数情况下头羊的收益大于从羊的收益 .但是随着头羊数量的增加和头羊收到的信息中的噪声增加 ,头羊 -从羊的收益之差减少 .最后从模型结论引申出稳定市场、改善市场结构、增加信息效率的建议.     

基于分形接触的湿度对静摩擦因数影响分析

采用分形接触模型推导并计算了由水膜的弯月面效应引起的附加静摩擦力,得到了由水膜的弯月面效应引起的附加静摩擦力的表达式,表明随着分形维数D的增大和分形粗糙度G的减小,计算的附加静摩擦系数增大,同时随着相对湿度的增加,水膜厚度增加,附加的静摩擦系数增加.     

"奖优罚劣"的动态多指标灰色关联度模型研究

针对动态多指标系统决策特点 ,利用灰色关联分析方法提出了一种新的“奖优罚劣”的动态多指标决策模型。该模型不仅对指标进行初始化处理时使用了“奖优罚劣”原则 ,而且通过构造相关矩阵 ,利用特征根、特征向量的性质 ,构造最优指标体系 ,并由此确定最优指标体系中各指标的权重。通过计算决策对象与理想矩阵、负理想矩阵的关联度 ,进而得到决策对象的排序结果。模型中充分考虑了指标的成长特性 ,将其整个系统的成长特性进行比较 ,作为关联度的一部分。在经济决策的实际问题中应用该模型 ,取得较好的效果     

Supergene mobility of noble metal elements in black rock series

In order to discuss the supergene mobility of noble metal elements in black rock series, measurements have been conducted with ICP-MS method for the contents of Ru, Rh, Pd, Ir, Pt, Au and Ag in the primary jordisite-rich black shale ore, in the supergene leached jordisite-rich black shale ore, in the pyrite-rich black shale ore and in the water of pit, well and stream of the mining area near Zhongnan Village, Zunyi District of Guizhou Province. The temperature, pH, electric conductivity, dissolved oxygen of the water were also measured. The pit water is acidic with high electrical conductivity and low dissolved oxygen. The total content of platinum group elements in the primary pyrite-rich black shale ore is only 1/13 of that in the primary jordisite-rich black shale ore. The Ag content in the former is only a half of that in the latter while the Au contents in the two kinds of ores are almost the same. Being leached under supergene condition, the contents of most of the noble metal elements except Au in the jordisite-rich black shale ore greatly decrease; the leaching rates of Rh, Pd, Pt, the total platinum group elements and Ag reach as high as 66.72%～74.79%, revealing that under supergene condition, platinum group elements and Ag can migrate along with water; the ratios of Ag/Au, Pd/Ru, Pt/Ir and(Pt+Pd)/(Ru+Rh+Ir) are remarkably decreased, displaying that Pt and Pd relative to Ru, Rh and Ir, Ag relative to Au bear more active mobility. The noble metal elements in the black rock series near Zhongnan Village might be mobilized and migrate under the procession of "cold water" rich in [SO4]2- with pH value being about 2.4 at a temperature below 50 ℃.     

Phylogenetic position of Schnabelia, a genus endemic to China： Evidence from sequences of cpDNA matK gene and nrDNA ITS regions

The chloroplast gene matK and the internal transcribed spacers (ITS) of the nuclear ribosomal DNA from Schnabelia, a genus endemic to China, and 6 genera of Verbenaceae and 13 genera of Lamiaceae were sequenced. The phylogenetic signal and validity outgroups were measured and evaluated by means of the relatively apparent synapomorphy analysis (RASA). Independent and combined phylogenetic analyses for the matK and ITS sequences were performed using the maximum parsimony (MP), neighbor-joining (NJ) and maximum likelihood (ML) methods, indicating that Schnabelia oligophylla and Caryopteris terniflora form a sister-group relationship. The Caryopteris complex is not shown to be a monophyly because Trichostema, C. paniculata and C. forrestii are paraphyletic to the clade containing the remaining members of the complex. A monophyly of Ajugoideae proposed by Cantino et al., including 8 genera in this study, is strongly supported and the closest relatives of Schnabelia are in the Ajugoideae (Lamiaceae), especially near Caryopteris terniflora. The polygenetic analyses also showed that the genera of Lamiaceae and Verbenaceae sampled in this tudy are phylogenetically mixed and the genus Avicennia is distant to other genera of Verbenaceae. RASA and combined analysis can be used as effective approaches to determining the relationships among phylogenetically complex groups.     

非线性发展方程中“秩”与解的关系

引入“秩”的概念，证明了“秩”同类的非线性发展方程具备Jacobi椭圆函数展开形成的解，而“秩”异类的非线性发展方程不具备此类型的解，但不论“秩”同类还是异类的非线性发展方程都可能具有双曲正切函数及多种形式的双函数展开形式的解，并以“秩”异类的弹性介质中非线性波方程为例对该结论加以证明.     

社会中介组织法律地位探析

公共行政理论的发展，使社会中介组织成为与国家行政一同行使公共管理职能的社会公行政的承担者，其作为国家和社会、个人之间的中介，承担了越来越多的原应由政府部门履行的公共服务职能，同时，它代表其组织成员的利益，加强与政府的沟通、交流与互动，并在相当程度上制约政府权力，具有特殊的法律地位。这种特殊的法律地位不仅体现在其独立性上，更可以从其地位的双重性上凸现出来。     

矿井井筒提升容器活塞风效应分析及计算

矿井提升容器在井筒中占据了部分井筒空间,升降运动时,产生活塞作用效应,提升容器周围的流场和压力场均发生变化,产生动态局部阻力.根据流体力学理论,分析了罐笼在井筒内升降过程中空气的速度变化情况,采用相对坐标法推导了在井筒风速影响下罐笼顺风、逆风和相会时的活塞风速数学计算模型.研究结果表明,井筒提升容器活塞效应的影响因素主要有提升容器的外形尺寸、井筒内的机械通风风速和阻塞比等.研究结论为研究由于矿井井筒提升容器活塞作用效应产生动态局部阻力提供了理论依据.图2,参11.     

一类误差不独立的变量含误差模型

对一类不独立变量含误差模型进行了探讨,建立了相应的模型,用极大似然方法给出了参数的估计;考虑了此模型的实例应用,并从相对偏差上将独立变量含误差模型与不独立变量含误差模型的结果进行比较,揭示了不独立EIV模型的先进性与较好的预测精度.