一类广义积分integral from n=0 to ∞(((sin(θ_x))/x)~ndx)的计算

利用三角函数幂公式、L′Hospital法则、分部积分公式,得到含有三角函数的第一类广义积分integral from n=0 to ∞(((sin(θ_x))/x)~ndx)的计算公式,其中n≥1且θ≠0.     

A family of centered forms for a polynomial

The general centered form for multi-variate polynomials is investigated and a computing procedure is proposed that results in a certain superset. Based on this procedure the optimal centered forms for monomials and for some special cases of polynomials are investigated.     

蒙特卡罗哈密顿新方案及其检验

蒙特卡罗哈密顿方法(MCH)是研究量子理论的数值模拟新方法, 其优点是可求出超出基态的能谱和波函数. 旧MCH方案需要自由粒子的信息, 较难推广应用于格点规范理论. 本文提出克服这个困难的新方案. 首先介绍这一方案的思想, 并以1维量子力学模型V(x)=μ²x²+λx⁴(其中μ²< 0,λ>0)为例说明实现这一新方案的具体计算步骤和方法.     

具有交易成本的证券组合投资决策研究

本文利用均值－方差模型，分析了有交易成本的证券投资组合的决策问题，给出了风险资产和无风险资产的最优投资比例与交易成本关系的一个有意义的结论。     

Electronic and Magnetic Properties of the p-NPNN

In this paper, we study the electronic band structure and the ferromagnetic properties of the organic radicalp-NPNN by employing density-functional theory with generalized gradient approximation (GGA) and local-spin densityapproximation (LSDA). The density of states, the total energy, and the spin magnetic moment are calculated. Thecalculations reveal that the δ-phase of p-NPNN has a stable ferromagnetic ground state. It is found that an unpairedelectron in this compound is localized in a single occupied molecular orbital (SOMO) constituted primarily of π* (NO)orbitals, and the main contribution of the spin magnetic moment comes from the π* (NO) orbitals. By comparison, wefind that the GGA is more suitable to describe free radical systems than LSDA.     

Hα Emission Imaging during Supersonic Molecular Beam Injection by CCD Photograph

There are several fuelling methods for tokamak plasma： pellet injection （PI）, gas puffing （GP）, neutral beam injection （NBI） and supersonic molecular beam injection （SMBI） .SMBI has been created in the Southwestern Institute of Physics, China.     

Three Stilbene Tetramers from the Roots of Caragana sinica

Three stilbene tetramers, carasinols A-C (1-3), along with three known substances, leachianol C, cararosinol A and stenophyllol B, were isolated from the roots of Caragana sinica. Their structures were elucidated by spectroscopy. It was found that compounds isolated except for stenophyllol B stimulated the proliferation of cultured osteoblasts.     

35Cr25Ni12奥氏体耐热钢中碳化物的电子显微分析

应用扫描电镜（SEM）和透射电镜（TEM）研究了长期使用前后的35Cr25Ni12奥氏体耐热钢中的碳化物演变行为；该钢固溶时效后的组织由初晶奥氏体及M23C6共晶碳化物组成，奥氏体基体中析出了二次M23C6，二次碳化物总是与基体保持立方－立方取向关系；长期使用（3、5年）后，奥氏体中析出的二次碳化物量明显增加，部分M23C6已转变为M6C，M6C与奥氏体基体以及二次碳化物M23C6保持[001]M6C//[221]A//[221]M23C6孪晶取向关系。     

四羧基锰酞菁作为超氧化物歧化酶和过氧化物酶模拟酶的研究

用核黄素 蛋氨酸光照法和黄嘌呤氧化酶 细胞色素C还原法证实,在1.0×10-6～1.0×10-5mol/L范围内四羧基锰酞菁(TcPcMn)表现出良好的清除超氧阴离子自由基(O—·2)的活性;用黄嘌呤氧化酶 NBT还原法测算出的TcPcMn清除O—·2的二级反应速率常数为7.77×105mol-1·L·s-1,表明TcPcMn作为超氧化物歧化酶(SOD)模拟酶能很好的抑制O—·2的还原性.TcPcMn既能催化H2O2与4 氨基安替比林和酚的显色反应,也能催化邻苯二胺的聚合,表明TcPcMn具有过氧化物酶(POD)活性.用邻苯三酚自氧法得出,TcPcMn将O—·2的氧化性转化成了POD和H2O2的氧化性.因此只要牺牲一定的POD底物,TcPcMn就可以清除掉因歧化O—·2而产生的H2O2,继而能避免因发生Fenton反应而产生氧化性高于O—·2的羟自由基,从而彻底消除O—·2的氧化性,与SOD相比,这是TcPcMn的一个优势.     

群体决策的偏好协调性检验

对于一类群体决策问题，本文引进群体的偏好协调性指标，并且给出了偏好协调性指标的统计检验．在此基础上，还提出一个求该类群体决策问题的方法，以及讨论了群体的偏好快调性指标和群体决策结果间的关系．