奇妙的惯性力

实际的参考系都不是惯性系，因此必须考虑惯性力．     

局部对称共形平坦黎曼流形中具有平行平均曲率向量的子流形

本文把[1]的结论推广到了环绕空间是局部对称共形平坦的情形,即获得了:设M~是局部对称共形平坦黎曼流形N~+p(p>1)中具有平行平均曲率向量的紧致子流形,如果则M~位于N~+p的全测地子流形N~+1中。其中S,H分别是M~的第二基本形式长度的平方和M~的平均曲率,T_C、t_c分别是N~+p的Ricci曲率的上、下确界,K是N~+p的数量曲率。     

基于有限差分光束传播法的过渡波导功耗分析

为了在既定尺寸下减小斜坡波导和弯曲波导的功耗，设计了4种过渡波导形状函数。用有限差分光束传播法(FD-BPM)进行了模拟分析，发现过渡波导形状的选取与坡度和曲折角存在条件有关，并给出了条件表达式及其详细说明。     

Frame Wavelets with Compact Supports for L^2（R^n）

The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For a given n × n real expansive matrix A, the frame-sets with respect to A are a family of sets in R^n. Based on the frame-sets, a class of high-dimensional frame wavelets with analytic forms are constructed, which can be non-bandlimited, or even compactly supported. As an application, the construction is illustrated by several examples, in which some new frame wavelets with compact supports are constructed. Moreover, since the main result of this paper is about general dilation matrices, in the examples we present a family of frame wavelets associated with some non-integer dilation matrices that is meaningful in computational geometry.     

电磁学中矢量点叉积的积分运算

电磁学的教学实践中,矢量点叉积的积分运算随处可见,令许多同学望而生畏.为解决这一问题,对电磁学中所涉及的矢量积分进行了归类,发现无非是点积、叉积、混合积的积分,并举例说明了积分运算的方法,尤其是引入了右正交标架.     

Al2O3/蒙脱土:Eu2+架状结构发光材料的制备及发光性能研究

采用高温固相法,在还原气氛下制备出Al2O3/蒙脱土:Eu2+光致发光材料。研究了原料配比、烧结温度、保温时间以及激活剂Eu2+的含量对发光性能的影响。实验结果表明:加入蒙脱土后,所制备的样品仍保持Al2O3的架状结构,晶格常数发生变化,晶体产生畸变,使得Eu2+更容易进入到晶格中。荧光光谱分析显示,发射光谱是两个宽峰组成,对应于Eu2+的4f65d→4f7(8S7/2)宽带允许跃迁。发光机制分析认为,宽峰结构由Eu0.92[Al1.76Si2.24O8]新相产生,生成的新相增加了Eu2+的取代格位,形成新的发光中心。因此Eu2+不仅取代了Al2O3八面体中Al的格位,而且取代了蒙脱土层间所吸附的阳离子格位,使样品发光强度提高了220%。     

深水S型铺管管道形态及力学分析方法研究

S型铺管是一种效率很高的铺设海底管道的方法,研究深水S型铺设管道形态及力学分析方法对于开发我国南海油气田具有重大意义.本文建立了深水S型铺管中管道形态的大挠度梁微分方程,并且通过数值方法求解得到的结果论证了深水S型铺管中管道悬垂段形态可以用自然悬链线近似,并在接下来的对S型铺管中管道的整体力学特性的有限元分析中,对过弯...     

前进中的嘉兴学院生物与化学工程学院

嘉兴学院至今已有95年办学历史。学校校址位于闻名遐迩的革命圣地南湖之畔——浙江省嘉兴市。嘉兴地处长三角中心的杭嘉湖平原，毗邻上海、杭州、苏州，经济繁荣，交通发达，人文荟萃，素有“丝绸之府、鱼米之乡、文化之邦”美称。     

Ab Initio Study on the Mechanism of Cycloaddition Reaction between Silylene Carbene （H_2Si=C：） and Acetone

The mechanism of cycloaddition reaction between singlet silylene carbene and acetone has been investigated with CCSD(T)//MP2/6-31G method. From the potential energy profile, it can be predicted that the reaction has two competitive dominant reaction pathways. One consists of two steps: (1) the two reactants (R1, R2) firstly form a four-membered ring intermediate (INT4) through a barrier-free exothermic reaction of 585.9 kJ/mol; (2) Then intermediate (INT4) isomerizes to CH3-transfer product (P4.1) via a transition state (TS4.1) with energy barrier of 5.3 kJ/mol. The other is as follows: on the basis of intermediate (INT4) created between R1 and R2, intermediate (INT4) further reacts with acetone (R2) to form the intermediate (INT5) through a barrier-free exothermic reaction of 166.3 kJ/mol; Then, intermediate (INT5) isomerizes to a silicic bis-heterocyclic product (P5) via a transition state (TS5), for which the barrier is 54.9 kJ/mol. The presented rule of this reaction: the [2+2] cycloaddition effect between the π orbital of silylene carbene and the π orbital of π-bonded compounds leads to the formation of a four-membered ring intermediate (INT4); The unsaturated property of C atom from carbene in the four-membered ring intermediate (INT4) results in the generation of CH3-transfer product (P4.1) and silicic bis-heterocyclic compound (P5).     

某一类控制系统中发生的指数偏差现象

我们考虑在某类控制系统中,以Lyapunov指数作为观测量,远离给定遍历测度的那些周期测度.对于这类周期测度的数量关于周期的指数增长率,我们将用测度熵在某个集合上的上界给出它的一个上限控制.