an＋1=anq与an＋1／an=q等价吗

在证明等比数列的操作中常会看到这样一种现象:在一定条件下,推得递推公式a_(n 1)=a_nq(q为常数)(1)那么就认为数列{a_n}是等比数列了.为对照说明方便,下面列出等比数列的定义:a_(n 1)/a_n=q(n∈N~*)(2)以下以新教材高中数学第一册(上)参考题三一习题为线索来探讨(1)式与(2)式的等价性问题.     

双轮驱动治理财报舞弊

在中国正处于新兴加转型的经济格局下，如何剖析财务报表舞弊现象，并从制度层面安排治理策略，是亟待解决的现实问题。     

具阶段偏食的Beddington-DeAngelis反应食物链模型分析

讨论了一类三种群Beddington-DeAngelis反应食物链模型,其中第一个种群具有两阶段结构,且第二个种群对第一个种群有阶段偏食现象,得到了系统的一致持久性,进一步证明了在适当条件下,周期解及概周期解的存在性和全局渐近稳定性.     

Anomalous Scaling of Surface Growth Equations with Spatially and Temporally Correlated Noise

Based on the scaling idea of local slopes by Lopez et al. [Phys. Rev. Lett. 94 （2005） 166103], we investigate anomalous dynamic scaling of （d ＋ 1）-dimensional surface growth equations with spatially and temporally correlated noise. The growth equations studied include the Kardar-Parisi-Zhang （KPZ）, Sun-Guo-Grant （SGG）, and Lai-Das Sarma-Villain （LDV） equations. The anomalous scaling exponents in both the weak- and strong-coupling regions are obtained, respectively.     

科学家破解“落叶”之谜

美国康奈尔大学科学家证实，他们成功破解了一个半世纪以来一直使物理学家和数学家感到困惑的“落叶”问题。从高空中抛落的纸片会具有最不可预知的特性，时而向上升起，时而翻转，时而又在无风情况下改变自己的方向。因此，在平静无风的秋天落叶不仅覆盖树木底下的区域，而且还落到离开树木几米远的地方。早在1853年苏格兰物理学家J．C．麦克斯韦就开始研究”落叶”效应现象，但是由于没有进行复杂模拟的计算机和编程全套仪器，麦克斯韦始终没有破解这一问题。     

MAGNETOMECHANICAL BEHAVIORS OF GIANT MAGNETOSTRICTIVE MATERIALS

The Laves phase alloy Tb-Dy-Fe, commercially known as Terfenol-D, exhibits the giant room-temperature magnetostriction at moderate field strength of a few kOe due to its combination of high magnetostriction and low magnetocrystalline anisotropic energy. Thus, this pseudobinary rare earth iron compound has found quite a number of applications such as in magnetomechanical transducers, actuators and adaptive vibration control systems. The simultaneous measurements of magnetostriction and magnetization at various fixed compressive pre-stresses applied in the axial direction for Tb0.3Dy0.7Fe1.95 samples are presented. The results show that the magnetostriction increases with increasing compressive stress until it reaches 1742 ×10^6 under 25 MPa, so does the coercive magnetic field. And the hysteresis loop area for magnetization and magnetostriction also increases with the increment of applied compressive stresses. But the maximum magnetic susceptibility χ（dM/dH） is obtained under zero stress field and the strain derivative dλ/dH increases to the highest amplitude of 0.039×10^-6 A^-1m at a stress level of 5 MPa. In the strain versus magnetization intensity curve, the initial fiat stage mainly consisting of a 180° domain wall motion becomes shorter with increasing stress. It means more initial domains are driven to the transversal direction under the compressive stress before magnetization, which is consistent with the improvement of the magnetostriction.     

通断电自感综合演示实验

高三物理教材中的自感现象,大多是通过J2425型变压器原理说明器进行演示。有的学校可能没有,而且同用一件仪器,两次分别演示通电自感现象和断电自感现象,课堂上存在着操作麻烦的严重弊端,同时也不能给学生一个通断电自感的完整印象。为此,我对原演示实验进行了一些改进,不但能使通、断电自感现象一次完成,达到使用方便、印象完整的目的,而且还可观察断电后瞬时感生电流(电动势)的方向,有助于验证教材中所述“自感电动势总是阻碍导体中原来电流的变化的”这个结论。实验电路如图所示。     

Photochemical degradation of environmentally persistent perfluorooctanoic acid （PFOA） in the presence of Fe（Ⅲ）

Environmentally persistent and bioaccumulative perfluorooctanic acid （PFOA） was difficult to be decomposed under the irradiation of 254 nm UV light. However, in the presence of 80μmol/L Fe（Ⅲ）, 80% of PFOA with initial concentration of 48μmol/L （20 mg/L） was effectively degraded and 47.8% of fluorine atoms in PFOA molecule were transformed into inorganic fluoride ion after 4 h reaction. Shorter chain perfluorocarboxylic acids bearing C3-C7 and fluoride ion were detected and identified by LC/MS and IC as the degradation products in the aqueous solution. It was proposed that complexes of PFOA with Fe（Ⅲ） initiated degradation of PFOA irradiated with 254 nm UV light.     

新的压电薄膜——Ta2O5

据报道,日本Yasuhiko Nakagawa和Yasuo Gomi用磁控反应直流二极管溅射法将Ta_2O_5,沉积在石英基片上,得到了单晶薄膜,并且首次观察到了这种薄膜的压电现象.用叉指换能器在Ta_2O_5薄膜上成功地激发了声表面波.在Ta_2O_5/熔石英基片上,当薄膜厚度h在hk(=2πh/λ)=1.0时,其机电耦合系数k~2=0.5％,它可与熔石英基片上ZnO薄膜的机电耦合系数相比拟. 利用Ta_2O_5单晶的X射线衍射数据,推断出Ta_2O_5