On Positive and Weakly Positive Implicative BCI-Algebras

Prove that the notion of positive implicative BCI-algebras coincides with that of weakly positive implicative BCI-algebras, thus the whole results in the latter are still true in the former, in particular, one of these results answers definitely the first half of J. Meng and X.L. Xin’s open problem: Does the class of positive implicative BCI-algebras form a variety? The second half of the same problem is: What properties will the ideals of such an algebra have? Here, some further properties are obtained.     

关于正关联BCK代数的一种扩张

在本文中，证明了每一个正关联ＢＣＫ－代数Ｘ均可嵌入于具有条件（Ｓ）的正关联ＢＣＫ－代数Ｘ^*，且Ｘ是Ｘ^*的一个子代数．特别地，当Ｘ是关联时，那么Ｘ^*也是关联的     

以咔唑为给体的分子内电荷转移化合物的自组装及发光性质

设计合成了两种以咔唑为给体单元,苯并噻二唑为受体单元的分子内电荷转移化合物((E)-4-((4-(4-(9H-咔唑-9-基)苯乙烯基)苯基)乙炔基)-7-溴苯[c][1,2,5]噻二唑(CzPB-Br)和4,7-双((4-((E)-4-(9H-咔唑-9-基)苯乙烯基)苯基)乙炔基)苯[c][1,2,5]噻二唑(CzPBPCz))。 研究了紫外、荧光等光物理性质,发现CzPB-Br和CzPBPCz的溶液态在可见区域404和442 nm有明显特征紫外可见吸收峰,同时在557和588 nm处有明显的荧光发射。 结合理论计算考察了共轭长度对两种化合物性能的影响。 两个化合物利用给-受分子间的偶极-偶极、π-π等相互作用,通过良溶剂向不良溶剂扩散和热饱和溶液析出的自组装方法,分别获得了一维微米线、多边形微米片等聚集态结构。 其中,一维的微米线宽度为1~2 μm,长度可达100 μm以上。 一维微米线和多边形微米片分别在515和568 nm处显示出了较强的发光,同时还显示出了光波导的特征,为获得高性能低维有机光电纳米材料提供了新思路。     

形(应)变超晶格的退道效应与系统的全局分叉

把超晶格"折沟道"对粒子的作用等效为形状相似的弱周期调制.利用正弦平方势把粒子运动方程化为具有外周期弱调制的非线性微分方程,导出了退道系数与晶格畸变的关系.利用多尺度法研究了系统的主共振和子共振,并利用Melnikov方法分析了系统的全局分叉和出现Smale马蹄的临界条件. The effect of deflected channel on particle motion is equivalent to modulation with a weak potential having a periodic same as the deflected channel has. The motion equation of a particle has been reduced to the nonlinear differential equation with a weak periodic modulation by using sine squared potential. The dechanneling fraction has been derived for a strained superlattice. The main resonance and sub resonance have been inverstigated by using multi scale method, a global bifurcation and the critic...