一种特殊非线性奇异积分方程的求解

对非线性奇异积分方程aφ2+b0+b1tπi∫Lφ(τ)τ-tdτ+(d0+d1t)φ+(c0+c1t)=0,t∈L,其中L为复平面的封闭光滑曲线,以逆时针为正向,而a≠0且b0,b1不同时为0,a,b0,b1,d0,d1,c0,c1为己知常数,在H lder连续函数空间中求解时将它化为一个带平方根的Riemann边值问题而得出其一般解     

C_(12)H_4,C_(18)H_6,C_(24)H_8大环多炔化合物的分子结构和光谱性质研究

C12 H4 ,C18H6,C2 4 H8大环多炔化合物是以乙炔为基本单元 ,以乙烯为连接元构成 .利用量子化学PM 3方法进行分子构型的优化和频率分析 ,判断分子的稳定性     

一维非均匀介质中Casimir Stress的收敛性

墓于Lifshitz理论和计算Casimirstress的规范化方法,研究一维非均匀介质中,的收敛性通过对电磁场格林函数的Galerkin变分方程的证明与分析结果表明,采用Lifshitz公式理论体系及常规的规范化方法时,只要介质中某处的介电常数或磁导率U的一阶导数不为零,在这些导数非零处为发散的研究结果证明了现有的规范化方法不适于计算非均匀介质,为改进现有物理模型和探索适用于非均匀介质的新方法提供了理论参考.     

X…Y(X=LiF，NH3，H20;Y=HF，LiF) 复合物中锉键、氢键的理论计算

在CCSD(T)/cc-pVTZ水平下,对X...Y(X=LiF,NH3,H2O; Y=HF,LiF)复合物的9个结构进行几何构型优化和红外振动频率计算根据定域化分子轨道、原子自然电荷、Wiberg键级的分析表明HFLiF分子中的H-F键是共价键,而Li-F键则为离子键而非共价键H3N...Y (Y=HF,LiF),H2O...Y (Y=HF,LiF)中的氢键或铿键源于静电相互作用,并非共用电子的共价键结合能的计算表明:与HF相比,LiF与X (X=LiF,H2O,NH3)的结合能更高;结合能从高到低依次为LiF gt; NH3 gt;H2O红外振动频率分析表明HF与NH3,H2O形成红移氢键,即H-F键长增加,相应的H-F伸缩振动频率降低H3N...LiF的Li-F键键长增加同时伸缩振动频率减少而LiF与H2O形成铿键后,键长增加0.001 6nm,而Li-F的伸缩振动频率反而增加了2c;m,即蓝移铿键.     

关于一个参量化的全平面Hilbert积分不等式

探讨了一个新的参量化的全平面Hobert积分不等式:建立2个权函数,运用带权的Holder不等式,应用实分析技巧,引入非零的独立参量以及满足关系参数,得到一个新的全平面非齐次核的具有最佳常数因子K(O)且含中间变量的Hilbert型积分不等式及其等价式和特殊参数下的齐次与非齐次核不等式     

Land cover classification of remotely sensed image with hierarchical iterative method

Land cover classification is one of the most wide ly used applications of remote sensing. The use ofmultitemporal remote sensing data in land cover clas sification is one of the effective methods of obtainingaccurate land cover/land use data. For a particularimage, different land cover types often show a similarspectral response and are difficult to separate. Theadvantage of using multitemporal data is that differentvegetation types show different spectral characteristicsin…     

Constructing a quasi-Legendre basis based on the C-Bézier basis

Inmostcomputeraideddesign(CAD)andcom puteraidedgeometricdesign(CAGD)systems,the BernsteinpolynomialsrepresentationofB啨ziercurves andsurfaceshasbeenastandard.Legendrepolynomi alshavesomeremarkableproperties.Firstly,Legen drepolynomialsconstituteanorthogonalbasisandthe degreeoftheLegendrebasisfunctionsgraduallyin creases,whichallowsthecoefficientsoftheapproxi mationtobedetermineddirectlywithoutneedingto solvealinearsysteminmanygeometricoperations whereapproximationisinvolved.Forexample,Lie…     

Atomic-scale computer simulation for early precipitation process of Ni_(75) Al_x V_(25-x) alloy with intermediate Al composition

SincethepublicationoftheclassicalworkofChan[1] andHilliard[2 ] ,therehavebeenextensiveex perimentalandtheoreticalstudiesonthethermody namicsandkineticsofprecipitation process .Recentresearchworkhasbeenconcentratedoncomputersimulation ,mostofwhichwerereviewedbyChen[3] .Mostcomputersimulationswerecarriedoutinbinarysystems[4— 8] .However ,theternaryormulti compo sitionsystemsaremoreimportantinindustries .MechanicalpropertiesofNi Albasedsuperalloyscanbestronglyaffectedbythemorphology ,distribu …