Karhunen-Loeve expansions for the m-th order detrended Brownian motion

The m-th order detrended Brownian motion is defined as the orthogonal component of projection of the standard Brownian motion onto the subspace spanned by polynomials of degree up to m. We obtain the Karhunen-Loeve expansion for the process and establish a connection with the generalized (m-th order) Brownian bridge developed by MacNeill (1978) in the study of distributions of polynomial regression. The resulting distribution identity is also verified by a stochastic Fubini approach. As applications, large and small deviation asymptotic behaviors for the L ₂ norm are given.     

ASP技术在《大学物理实验》课件中的应用

介绍了ASP技术的特点、现状，较为详细的讨论了ASP技术在《大学物理实验》课件中的应用。     

活性炭-水杨基荧光酮吸附富集光度法测定痕量钼

本工作研究了活性炭-水杨基荧光酮(SAF)对水中痕量钼(Ⅵ)的吸附和解吸条件,以及SAF在吸附过程中所起的作用,并采用分光光度法测定了天然水中痕量钼。     

α型硅钼蓝法测铝中硅的研讨

实验考察了影响硅钼蓝法结果重现性及准确性的因素；比较了α型硅钼蓝及β型硅钼蓝的异同、特点；提出了利用α型硅钼蓝法线性范围宽、稳定性好的优点，同时测定铸铝中高含量硅和铝合金中低含量硅的分析方法。     

Elimination Reaction of α,ω-Diols by Magnesium

Inrecentyears,someapplicationsofmagnesiuminorganicsynthesisandorganosiliconreactionshavebeenreported""'.Here,wewishtoreportanothernewreaction,theelindnationreactionofsomediolsbymagnesium.Inthepresenceofiodine,l,3-propanediol,l,4-butanediolorl,5-pentanediolreactswithmagnesiumtoproducemagnesiumalkoxides.Whenthemixtureofformedmagnesiumalkoxideinalcoholwasrefluxed,thermaldecompositionoccurswiththeformationofcyclicethersand,respectively,allylalcohol,buten-l-olandpenten-l-ol.Thetotalreactioncorrespo…     

O-乙基-O-取代苯基-O-[(2-邻苯二甲酰亚胺基)乙基]硫代磷酸酯的合成及其异构化研究

合成了１１个新的硫羰磷酸酯及其１１个异构化产物硫羟磷酸酯，其结构经１ＨＮＭＲ、元素分析证实。研究了温度、溶剂对异构化反应的影响，并对反应机理进行了讨论。     

Phase transition kinetics of vanadium pentoxide II. Theoretical results

Experimental data on the phase transformation kinetics in vanadium pentoxide due to surface oxygen loss are analyzed theoretically. A model for the process as a one-dimensional problem with oxygen loss from the surface and coupled interface and diffusion controlled growth modes is described. This model appears to match well the experimental data with reasonable numbers for the surface loss rate and diffusion constant. In particular, the model reproduces changes in the number of phase fronts as a function of electron beam flux. In addition, the analysis confirms that the effective diffusion constant is electron beam flux dependent.     

发光型主体分子胍基芘识别二羧酸根阴离子

在质子性溶剂甲醇中，发光型主体分子胍基芘通过氢键与二羧酸根阴离子结合，自组装形成2：1的主客体超分子复合物，本文采用前表面反射荧光检测，通过跟踪主体分子结合客体前后芘的激基二聚体与单体荧光强度比值的变化，研究了胍基芘对不同酸根数目，不同取代位置的苯取代羧酸盐，磺酸盐，长链二羧酸盐以及双羧基氨基酸的识别能力和识别选择性，结果表明，胍基芘对二羧酸根阴离子的识别能力与客体分子中两个羧基间的距离，分子的平面构型以及取代基的种类密切相关，1，2，4，5－苯四甲酸根的识别效果远远好于其他二羧酸根阴离子。