Quotient space model based on algebraic structure

In the quotient space theory of granular computing,the universe structure is assumed to be a topology,therefore,its application is still limited.In this study,based on the quotient space model,the universe structure is assumed as an algebra instead of a topology.As to obtain the algebraic quotient operator,the granulation must be uniquely determined by a congruence relation,and all the congruence relations form a complete semi-order lattice,which is the theoretical basis of granularities ' completeness.When the given equivalence relation is not a congruence relation,it defines the concepts of upper quotient and lower quotient,and discusses some of their properties which demonstrate that falsity preserving principle and truth preserving principle are still valid.Finally,it presents the algorithms and example of upper quotient and lower quotient.The work extends the quotient space theory from structure,and provides theoretical basis for the combination of the quotient space theory and the algebra theory.     

二元关系性质判定定理的应用

利用二元关系性质的判定定理证明与关系性质的保守性和关系的闭包有关的几个定理,比用定义证明更为简洁.     

弱拓扑分子格

目的建立弱拓扑分子格的初步理论。方法运用一一对应的思想和范畴论方法研究弱余拓扑的确定和弱拓扑分子格的范畴性质。结果证明了可以用弱闭包算子确定弱余拓扑,WTML(即弱拓扑分子格与保并连续映射的范畴)和TML(即拓扑分子格与保并连续映射的范畴)都是CL(即完备格与保并映射的范畴)上的拓扑范畴。结论扩展了拓扑分子格理论。     

相对L-闭包算子与相对T0闭包空间

在L-闭包空间中, 定义了相对闭包算子与相对T₀闭包空间, 研究它们的一系列性质, 并证明了相对T₀分离性是遗传的、 可乘的、 具有L-好的推广等性质, 得到了T₀分离性与相对T₀分离性的关系.     

大跨度多跨连续梁桥悬臂施工合龙顺序的优化

以湘江特大桥的预选合龙方案为依据,通过MIDAS有限元模拟该桥的3种预选合龙方案的施工过程,从最终合龙后的恒载内力分布情况、张拉预应力筋所产生的次内力、徐变次内力、纵向位移等方面对合龙方案进行了初步对比分析,并提出判定合龙方案优劣的几点建议。     

传递闭包公式的改进

给出了有限集合上传递闭包的改进公式 ,借助二元关系 ,矩阵秩等概念并利用数学归纳法给出了该公式的证明过程 ,利用所得结果来求有限集合上的传递闭包 ,减少了不必要的计算量     

NBUC元件关于并联系统的封闭性

讨论了ＮＢＵＣ元件的寿命分布特征，获得了其关于并联系统的封闭性     

CS-模的直和

证明了如果M1和M2都是CS-模且M1是M2-ojective模，M2是基本M1-ojective模，那么M1与M1的直和仍是CS-模。     

Hydrogen sulfide induced by nitric oxide mediates ethylene-induced stomatal closure of <Emphasis Type="Italic">Arabidopsis thaliana</Emphasis>

Pharmacological, laser scanning confocal microscopic (LSCM), real-time PCR and spectrophotographic approaches are used to study the roles of hydrogen sulfide (H2S) and nitric oxide (NO) in signaling transduction of stomatal movement response to ethylene in Arabidopsis thaliana. In the present study, inhibitors of H2S synthesis were found to block ethylene-induced stomatal closure of Arabidopsis. Treatment with ethylene induced H2S generation and increased L-/D-cysteine desulfhydrase (pyridoxal-phosphate-dep...     

层次闭包空间及其连通性

给出了层次闭包空间的概念,定义并研究了由分明闭包空间诱导的层次闭包空间,讨论了层次闭包空间的连通性.