有矩形脉冲内热源的平板中非傅里叶导热研究

 对矩形激光短脉冲能量以内热源形式在有限厚绝热平板内释放所导致的非傅里叶导热过程进行了理论研究，利用格林函数与有限积分变换方法求得了绝热平板内温度分布的解析解,分析了平板内热波传播与反射行为以及温度场的特征。研究结果表明，温度波动频率取决于平板厚度和材料的热弛豫时间，而其幅值则与内热源释放区域的大小和脉冲宽度的长短有关。     

一类含非局部源的非线性退化抛物型方程

The global existence and finite time blow up of the positive solution for a nonlinear degenerate parabolic equation with non-local source are studied.     

Blue/green light‐emitting diode based on diethyl[N‐arylmethylenethiobenzahydrazonato]gallium complexes

Three diethylgallium complexes of type Et₂GaL [L = N‐(4‐methoxy) benzylidenethiobenzahydrazonato ( 1 ), N‐(4‐N,N‐dimethylamino)benzy lidenethiobenzahydrazonato ( 2 ) and N‐(9‐anthryl)methylenethio benzahydrazonato ( 3 )] were synthesized by the reaction of triethylgallium with appropriate N‐arylmethylenethiobenzahydrazones. The compounds obtained were characterized by elemental analysis, ¹H NMR, IR and mass spectroscopy, respectively. Monolayer light‐emitting diodes based on the diethyl[N‐arylmethylenethio benzahydrazonato]gallium doped poly(vinylcarbazole) were fabricated using a spin coating method. The photoluminescent and electroluminescent emission spectra of 1 and 3 were measured (429 and 479 nm for 1 and 3 , respectively). The electroluminescent properties of 1 and 3 were also studied. The electroluminscence bands are located in the blue/green region (465 and 510 nm for complexes 1 and 3 , respectively). Copyright © 2006 John Wiley & Sons, Ltd.     

Theory of Atom Optics: Feynman''s Path Integral Approach

The present theory of atom optics is established mainly on the Schr?dinger equations or the matrix mechanics equation. The authors present a new theoretical formulation of atom optics: Feynman’s path integral theory. Its advantage is that one can describe the diffraction and interference of atoms passing through slits (or grating), apertures, and standing wave laser field in Earth’s gravitational field by using a type of wave function and calculation is simple. For this reason, we derive the wave functions of particles in the following configurations: single slit (and slit with the van der Waals interaction), double slit, N slit, rectangular aperture, circular aperture, the Mach-Zehnder-type interferometer, the interferometer with the Raman beams, the Sagnac effect, the Aharonov-Casher effect, the Kapitza-Dirac diffraction effect, and the Aharonov-Bohm effect. The authors give a wave function of the state of particles on the screen in abovementioned configurations. Our formulas show good agreement with present experimental measurements.     

m-Uniformization and metrization of fuzzy topological spaces

In this paper the fuzzy pseudo metric is introduced in the fuzzy unit interval and based on it theorems on m-uniformization and metrization of fuzzy topological spaces are proved.     

短穗柽柳花内蜜腺的解剖学研究

短穗柽柳的花内蜜腺位于花冠基部与子房之间的花盘上,属于花盘蜜腺。蜜腺组织由分泌表皮、产蜜组织以及维管束三部分组成。分泌表皮具有较厚的角质层,但其上没有气孔器分布,产蜜组织在蜜腺发育过程中,其液泡和淀粉粒随蜜腺的发育有一定的消长规律。来自花托的维管束一直通入产蜜组织内。维管组织中只有韧皮部,原蜜汁可能由韧皮部提供。     

增长曲线模型中最小二乘估计的几种相对效率

对于一般的增长曲线模型Yn×m=Xn×pBp×qZq×m＋ε,ε~（0,δV∑）本文定义了B的最小二乘估计（相对于B的最佳线性无偏估计）的四种相对效率，并得到了它们的下界．     

Blocking analysis andT(1) theorem

TheT(1) theorem with a weak condition on the distribution kernel is proved by using a new method—blocking analysis. It improves a result of Meyer’s. Project supported by the National Natural Science Foundation of China (Grant No. 19631080) and the Foundation of Advanced Research Center, Zhongshan University.     

实际光栅系统的分辨本领

本文指出了传统的光栅分辨本领Ｒ＝ｋＮ只是在光源狭缝无限细的情况下的极限值。当光源狭缝还有一定宽度Ｗ时，衍射条纹将增宽，相应最小分辨角Δθｋ将增大，实际光栅系统的分辨本领将减小。文章运用衍射理论，给出了实际光栅系统分辨本领的修正公式。在实验中，在不同光栅宽度Ｄ的情况下，用ｋ＝１级衍射条纹，当测量恰能分辨钠黄光的双线结构的光源缝宽Ｗ时，这时光栅系统的分辨本领是λ／δλ≈１０００，与修正公式计算的理论值一致。