一个R2上含双曲函数核的Hilbert型不等式

通过引入参数，构造了一个全平面上的、含双曲函数的非齐次核函数。利用正切函数的有理分式展开，建立了最佳常数因子与正切函数高阶导数相关联的Hilbert型积分不等式。 作为应用，通过赋予参数不同的值，建立了一些有意义的特殊结果。     

四氢β—咔啉类化合物的~(13)C NMR研究

测定了四对新合成的四氢β-咔啉化合物的~13C NMR谱,通过APT,HETCOR和HETCOLOC谱指认了所有碳的归属.所确定的化学位移规律可以用来确定它们的构型.     

《电子技术基础》课程教学的几点思考

《电子技术基础》是学好其他专业课程的基础,它研究电子元器件和电子电路在各种领域的应用,它的发展水平直接影响着各行各业的发展,因此,应帮助学生学好本课程．1联系实际激发学生学习的主动性兴趣是学习的动力,因此在学习之初就必须激发学生的学习兴趣,消除厌学畏难的心理．如在绪论课,给学生介绍日常生活息息相关的电子产品,如电视机、手机、DVD等,同时介绍电子技术在自动控制中的重要性,让学生了解其实用性,激发学习兴趣．再如,在     

关于半线性热方程的死角性质

本文考虑下述问题：这里，．本文证明了在发生死角时只有有限个死角点．     

Fast Optical Switching Using Oriented Cyanine Dye-Doped Nematic Liquid Crystal

A cyanine dye, 2-[7-（1,3-dihydro-1,3,3-trimethyl-2H-indol-2-ylidene）-1,3,5-heptatrienyl]-1,3,3-trimethyl-3H-indolium iodide （NK-125）, is doped in 4-cyano-4＇-pentylbiphenyl （5 CB）, and the mixture is sandwiched between two pieces of rubbed glass plates. The third-order nonlinear optical properties of the oriented NK-125-SCB layers are measured by the resonant femtosecond degenerate four-wave mixing （DFWM） technique at 760 nm. The third-order nonlinear optical susceptibility of one of the present samples is 5.5×10^-8 esu. The slow DFWM response of the NK-125-SCB layers due to a population grating is accelerated by the increasing laser power because of amplified spontaneous emission （ASE）. On the other hand, we do not observe a similar phenomenon for NK-125- polyethylene glycol （PEG-400）. Oriented NK-125 molecules in nematic liquid crystals must have very high ASE efficiency. Hence the population grating in a DFWM signal disappears within about 4 ps. It is expected that NK-125-SCB can be used as a material for very fast all-optical switching.     

倒置结构锥形束计算机层析的精确成像与Grangeat算法实现

研究了一种新的圆加垂直单弧段的锥顶轨迹的锥形束计算机层析（CT）的完全性条件和精确重建的Grangeat方法，提出了倒置结构锥形束计算机层析的便于实现的圆加垂直多弧段的成像结构及进行精确重建的完全性条件。利用倒置成像结构与现有成像结构之间的等价关系，给出了倒置结构锥形束计算机层析的重建算法。最后，对上述几方面进行了计算机模拟。     

Two Term Asymptotics of Counting Function for One Dimensional p-Laplace Operator with Mixed and Periodic Boundary-value Conditions

1 Main Results Let Ω(?) R be a non-empty open subset with finite Lebesgue measure |Ω|1 and boundary Г= σΩ. We can write Ωas the union of its connected components, i.e., Ω= ∪Ij, where the open intervals Ij are pairwise disjoint and of length lj,. Since |Ω|1= sum from j=1 to ∞lj < +00, we can assume, without loss of generality, that l1 ≥l2 ≥…≥lk ≥…> 0. In this paper, we consider the eigenvalue problem of the p-Laplace operator with mixed boundary-value conditions, i.e.,     

Anisotropy in Third-Order Nonlinear Optical Susceptibility of a Squarylium Dye in a Nematic Liquid Crystal

A squarylium dye is dissolved in 4-cyano-4＇-pentylbiphenyl （SCB） and oriented by sandwiching mixtures between two pieces of rubbed glass plates. The optical absorption spectra of the oriented squarylium dye-5CB layers exhibit high anisotropy. The third-order nonlinear optical responses and susceptibilities X^（3）e of squarylium dye in 5CB are measured with light polarizations parallel and perpendicular to the orientational direction by the resonant femtosecond degenerate four-wave mixing （DFWM） technique. Temporal profiles of the DFWM signal of the oriented squarylium dye-5CB layers with light polarizations parallel and perpendicular to the orientational direction are measured with a time resolution of 0.3ps （FWHM）, and are found to consist of two components, i.e., the coherent instantaneous nonlinear response and slow response due to the formation of excited molecules. A high anisotropic ratio of x^（3）e, 10.8 ：k 1.2, is observed for the oriented layers.     

Spurious Shell Closures in the Relativistic Mean Field Model

Following a previous systematic theoretical study of the ground-state properties of over 7000 nuclei from the proton drip line to the neutron drip line in the relativistic mean field model [Prog. Theor. Phys. 113 （2005） 785], which is in fair agreement with existing experimental data, we observe a few spurious shell closures, i.e. proton shell closures at Z = 58 and Z = 92. These spurious shell closures are found to persist in all the effective forces of the relativistic mean field model, e.g. TMA, NL3, PKDD and DD-ME2.