ADDITIVE ENUMERATION PROBLEMS OVER TREES

The autaor in his previous papers obtained a series of results about some enumeration (or, combinatorial) problems over trees, such as binary trees, t-ary trees, ordered trees.and oriented trees. The purpose of this paper is to develop a unified scheme dealing with these problems. He introduced the concept, so-called additive enumeration problems,to cover a wide class of enumeration problems over trees.     

ON THE DEGREE PATH LENGTH OF TREES

D. E. Knuth in his book introduced the concept of degree path length of a tree, it is the sum, taken over all leaf nodes, of She internalnodes degree on the path from the leaf to the root. D. E. Knuth applied the concept to solve the problem of constructing good merge patterns for disk. Furthermore, he gave a theorem answering the question: what     

递归树的若干枚举特征

递归树由Meir和Moon定义作非平面增长树的一种，且所有节点出度都是允许的．本文首先在n个节点的递归树集合和n-1个元素的排列之间建立一个新的──对应，这个对应能同时给出树叶子和排列中的路段之间的对应和树叶子数和排列中的路段数之间的密切关系．同时还研究递归树的各种枚举特征，诸如节点的分类枚举（内节点和叶子节点、偶节点和奇节点，具不同出度的节点）和通路长度枚举（接各种节点分类）．     

ON NODE ENUMERATION AND NODE PATH LENGTH OF ORDERED TREES

Considering the class (n, m) of ordered trees with m leaves and n-m internal nodes, a set of generating functions are established for the following problems: (1) the total number nodes with degree r over Γ(n, m), (2) the total path length of nodes over Γ(n, m), and (3) the total number of nodes over Γ(n, m) on level k. Some particular counting fomulas are derived from them.     

基于喹啉与苯胺衍生物不对称方酸菁染料的合成与光谱性质

设计合成了四个基于喹啉与苯胺衍生物的不对称方酸菁染料7a～7d,利用1HNMR,MS和元素分析对结构进行了表征.对中间体碘盐3a～3c的合成条件进行了探索,发现随着喹啉6位取代基吸电子能力的增强,亲核取代反应的活性降低,因此需要较为苛刻的条件.对不对称方酸菁的合成方法进行了系统研究,发现不对称方酸菁前体的接入方式是反应成败的关键,并对该不对称方酸菁的吸收光谱与光稳定性进行了系统研究.研究表明,染料的吸收半峰宽较宽,最大吸收随着溶剂极性的增加发生蓝移,表现为负溶剂化效应.光稳定性实验表明,染料的光稳定较好,且喹啉半体6位取代基吸电子能力的增加有利于染料光稳定性的增加.此外,苯胺半体氮上烷基链的长度对染料的光稳定性也有影响.     

异丁烷脱氢反应的热力学分析

利用HSC5.0软件对异丁烷脱氢反应进行热力学分析,计算了异丁烷脱氢过程中各反应的平衡常数和不同温度、压力及氢烃比的异丁烷脱氢反应的平衡转化率.结果显示,裂解反应平衡常数比脱氢反应大约3个数量级,在热力学上裂解反应更易进行.在异丁烯异构化产物中,trans-C4 H8生成的平衡常数最大,cis-C4 H8其次,1-C4...     

吡唑啉酮衍生物及其金属配合物抗肿瘤研究进展

综述了吡唑啉酮衍生物及其金属配合物抗肿瘤生物活性国内外研究进展,主要包括吡唑啉酮衍生物及其金属配合物抗肿瘤生物活性,及其活性作用机制。展望了吡唑啉酮衍生物及其金属配合物抗肿瘤活性研究的发展方向。     

Monolayer MoS2 of high mobility grown on SiO2 substrate by two-step chemical vapor deposition

We report a novel two-step ambient pressure chemical vapor deposition (CVD) pathway to grow high-quality MoS₂ monolayer on the SiO₂ substrate with large crystal size up to 110 μm. The large specific surface area of the pre-synthesized MoO₃ flakes on the mica substrate compared to MoO₃ powder could dramatically reduce the consumption of the Mo source. The electronic information inferred from the four-probe scanning tunneling microscope (4P-STM) image explains the threshold voltage variations and the n-type behavior observed in the two-terminal transport measurements. Furthermore, the direct van der Pauw transport also confirms its relatively high carrier mobility. Our study provides a reliable method to synthesize high-quality MoS₂ monolayer, which is confirmed by the direct 4P-STM measurement results. Such methodology is a key step toward the large-scale growth of transition metal dichalcogenides (TMDs) on the SiO₂ substrate and is essential to further development of the TMDs-related integrated devices.     

一种聚合物分散液晶菲涅尔波带片

利用波长为800nm,脉宽130fs的飞秒激光在镀铝膜的玻璃基片上刻蚀出波带环图案,然后用溶致相分离法将其制备成聚合物分散液晶菲涅尔波带片.用波长为632nm的He-Ne激光对聚合物分散液晶菲涅尔波带片进行测试,结果表明:随着电压的增加该样品具有良好的光电可控性,可以实现对焦点光强的调控.在沿光轴方向上,测试到的主焦点位置与理论计算值相差小于5%,且聚合物分散液晶菲涅尔波带片在160V电压时衍射效率为10.4%,接近理论衍射效率12.1%,表明了该设计的可行性.     

岩石材料动态破坏的近场动力学方法数值模拟

裂纹的聚集、扩展、分叉是岩石等脆性材料破坏失效的关键因素，本文在验证了近场动力学方法在研究岩石类材料裂纹动态扩展方面的有效性之后，采用近场动力学方法分别对冲击载荷作用下含有双裂纹岩石材料和单轴压缩作用下含单斜裂纹的岩石材料进行数值模拟．结果表明，对于双垂直裂纹，其裂纹扩展路径大致与预制裂纹成70°夹角；对于单裂纹，裂纹的扩展路径随裂纹倾角的变化而变化，最终导致构件的整体破坏．数值模拟结果表明近场动力学方法可以很好地模拟岩石等脆性材料的裂纹扩展直至破坏的过程，反映裂纹扩展的物理机理；其作为一种新的基于非局部理论的数值方法，在地下岩体工程方面及页岩气的开采方面会有很好的发展前景．