二阶Volterra系统对平稳正态激励的统计响应的表示定理的数学证明

1974年,Neal根据Kac和Siegert的思想,给出了一个在电子工程、海洋工程、建筑工程、航空工程、自动控制的随机振动中有重要应用的二阶Volterra非线性系统对平稳正态输入的统计响应的表示定理.1984年,Naess对此定理又给出了一个数学证明.经过研究后发现,他们对定理条件的叙述都是模糊的,而且其数学证明都是有问题的.本文重新讨论了这个表示定理,给出了明确的定理条件及严格的数学证明,为它的广泛应用奠定了理论基础.     

Investigation of External Optical Feedback Resistance of IC—DFB and GC—DFB Lasers Using a Very Simple Experimental set—up

We study the external optical feedback resistance of both index-coupled(IC) and gain-coupled distributed feed-back(DFB) lasers using a very simple experimental set-up.Though IC-DFB lasers with large coupling coefficients are found to be less sensitive to external reflection,they suffer from mode instability at high injection level.On the other hand ,the introduction of gain-coupling mechanism can significantly improve both the immunity of external optical feedback and the single mode yield of the device.     

真空中氧化铝陶瓷沿面耐压试验

真空中陶瓷绝缘子的耐压能力严重受到其表面性能的制约，在远低于同尺寸的真空间隙的耐压强度和绝缘子体耐压水平的情况下，绝缘子就出现了击穿现象，即沿面闪络击穿。利用真空绝缘实验装置选用95氧化铝陶瓷和掺锰铬氧化铝陶瓷样品进行表面耐压试验，对不同组分的陶瓷样品的耐压性能比较，并探讨表面处理及测试法对绝缘子表面绝缘性能的影响。     

褪黑激素受体拮抗剂的三维定量构效关系研究

采用两种分子场分析方法即比较分子场分析法（CoMFA）和比较分子相似因子分析法（CoMSIA）进行了37个褪黑激素受体拮抗剂的构效关系研究.计算结果表明，两种方法得到的构效关系模型都具有较好的预测能力.在计算中，还考察了不同格点距离和电荷计算方法对构效关系模型的影响.通过分析分子场等值面图在空间的分布，可以观察到叠合分子周围分子场特征对化合物活性的影响，为设计新的褪黑激素拮抗剂提供了一些理论依据.     

也谈构造同构函数简化求解导数综合压轴题

本文在已有研究的基础上,进一步研究构造同构函数在求解导数综合压轴题中的应用,就解题层面具体厘清并回答师生们关心的两个基本问题:一是构造同构函数可以简化哪些常见基本结构?如何实现简化?二是常用于同构函数的函数结构类型有哪些?灵活运用的关键是什么?     

示差脉冲伏安法测定黄酒中的酪氨酸

本文研究了硼砂介质中镍与酪氨酸络合物的示差脉冲吸附伏安特性，实验了仪器参数对示差脉冲阴极吸附伏安法的影响，在最佳条件下络合物峰电流与酪氨酸浓度在２．０×１０＾－７～４．０×１０＾－５ｍｏｌ．Ｌ＾－１范围内有线性关系，并以此法测定了黄酒中酪氨酸的含量。     

Synthesis,Crystal Structure and Calculated β Value of a Tetrahedral Zinc (II) Complex——Zn(2-NH_2py)_2Br_2

1 INTRODUCTION Coordination chemistry has been playing an important role in nonlinear optical (NLO) materi- als [1~3] in recent years. It has been found that tetrahedral or square pyramidal molecular configurations are useful for designing transparent second-harmonic generation (SHG) materials from coordination compounds[4]. It has also been reported that the pyridyl-based metal complexes can exhibit SHG effects[5]. Recently, we have successfully synthesized a new coordination compoun…     

Theoretical study on the mechanism for the excited-state double proton transfer process of an asymmetric Schiff base ligand

Excited-state double proton transfer (ESDPT) in the 1-[(2-hydroxy-3-methoxy-benzylidene)-hydrazonomethyl]-naphthalen-2-ol (HYDRAVH₂) ligand was studied by the density functional theory and time-dependent density functional theory method. The analysis of frontier molecular orbitals, infrared spectra, and non-covalent interactions have cross-validated that the asymmetric structure has an influence on the proton transfer, which makes the proton transfer ability of the two hydrogen protons different. The potential energy surfaces in both S₀ and S₁ states were scanned with varying O-H bond lengths. The results of potential energy surface analysis adequately proved that the HYDRAVH₂ can undergo the ESDPT process in the S₁ state and the double proton transfer process is a stepwise proton transfer mechanism. Our work can pave the way towards the design and synthesis of new molecules.