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121.
A sharp coefficient estimate,distortion theorem and the radius of convexityare determined for the class R(α,β,A,B) of function f(z)=z+(?)anzn satisfyingthe condition |(f′(z)-1)/(Bf′(z)-[B+(A-B)(1-α)])|<β for some α,β(0≤α<1,0<β≤1) and -1≤A相似文献
122.
LI Ya-feng~ ** ZHANG Li-mei~ WU Lei-lei~ WANG Sheng-hai~ WANG Hai-lian~ SHANG Xuan-xuan~ . College of Chemistry Molecular Engineering . College of Mathematics Physics Qingdao University of Science & Technology Qingdao P. R. China 《高等学校化学研究》2006,(6)
IntroductionThe interest in polyoxometalates that are widelyused in medical chemistry, catalyst reactions, and ma-terial sciences stems from their complicated aggregatesformed by means of corner-, edge- and face-sha-ring[1—4]. The exploitation of new str… 相似文献
123.
The present paper deals with the long-time behavior of a class of nonautonomous retarded semilinear parabolic differential equations. When the time delays are small enough and the spectral gap conditions hold, the inertial manifolds of the nonautonomous retard parabolic equations are constructed by using the Lyapunov-Perron method. 相似文献
124.
A Novel Contactless Method for Characterization of Semiconductors:Surface Electron Bean Induced Voltage in Scanning Electron Microscopy
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We present a novel contactless and nondestructive method called the surface electron beam induced voltage (SEBIV) method for characterizing semiconductor materials and devices.The SEBIV method is based on the detection of the surface potential induced by electron beams of scanning electron microscopy (SEM).The core part of the SEBIV detection set-up is a circular metal detector placed above the sample surface.The capacitance between the circular detector and whole surface of the sample is estimated to be about 0.64pf.It is large enough for the detection of the induced surface potential.The irradiation mode of electron beam (e-beam) influences the signal generation When the e-beam irradiates on the surface of semiconductors continuously,a differential signal is obtained.The real distribution of surface potentials can be obtained when a pulsed e-beam with a fixed frequency is used for irradiation and a lock-in amplifier is employed for detection.The polarity of induced potential depends on the structure of potential barriers and surface states of samples.The contrast of SEBIV images in SEM changes with irradiation time and e-beam intensity. 相似文献
125.
列方程解应用题是代数中的重要内容之一 ,它是数学联系实际的一个重要方面 ,也是同学们学习代数的一个难点 .主要的学习障碍在于同学们不按一定的步骤解决问题 ,造成对题意理解不透彻 ,也不能用数学符号或式子表达题意中的文字含义 .为此 ,在这里通过介绍列方程解应用题的一般步骤和举例说明常用的方法 ,使同学们对本内容有更深入的理解 .一、列方程解应用题的一般步骤1.审题 :主要是仔细阅题 ,弄清题意 .在此步骤中 ,要在草稿纸上把帮助理解题意的相关图形画出来 ,认真分析 ,找出题意中的已知数量和未知数量 .此步骤在解决问题中是比较重要的 ,但常常被同学们忽略 .2 .设元 :设立未知数 .在此步骤中 ,要根据列代数式的方法把各个数量用代数式表示出来 .设未知数的常用方法( 1)直接设元 .( 2 )间接设元 .( 3)辅助设元 .3.列方程 :根据相等关系列出方程 .在此步骤中 ,找出各代数式所包含的数量关系 ,列出一个能表达全部题意的含有未知数的相等关系 ,即得所列方程 .4 .解方程 :根据解相应方程的方法求出方程的解 .5.检验 :检验含有两个内容 .第一是检验所求得的解是不是原方程的解 ;第二是检验该解符不... 相似文献
126.
127.
V. A. KHATSKEVICH V.A. SENDEROV 《数学学报(英文版)》2006,22(6):1687-1694
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator topology, and nonemptiness were proved for sets of different classes under study. Then the results obtained were used in these papers to solve several applied problems. Namely, they played the key role in establishing the dichotomy of nonautonomous dynamical systems, with either continuous or discrete time. In the present paper, we generalize and sharpen the already known criteria and obtain several new criteria for convexity, compactness, and nonemptiness of several special operator sets. Then, using the assertions obtained, we construct examples of sets of the form under study which are nonconvex, noncompact in the weak operator topology, as well as empty, and are generated by "smooth" operators of a special class. The existence problem for such sets remained open until the authors of this paper announced some of its results. 相似文献
128.
任中洲 《数学物理学报(A辑)》1992,12(1):35-40
考虑一个单l能级自旋。同位旋无关的成对力模型,当先辈数为零时,它对应于Winger超多重态对称性,借助子Dyson玻色子表示,我们求得了对应于Wigner超多重态对称性的解析解。 相似文献
129.
The thermal conduction and Navier-Stokes equations are usedto obtain the stress field generated by a chopped electron beam incident ona disk sample.The piezoelectric equation is then used to obtain the out-put signal of the transducer coupled to the sample.The results lead to aconsideration of the signal generation mechanism and spatial resolution inscanning electron acoustic microscopy(SEAM).It is shown that atime-variant heat source generated both a thermal wave and an acousticwave simultaneously,and thermal-to-acoustic wave mode conversion oc-cured on the boundary surfaces depends on the amplitudes and the gra-dients at boundary surfaces of both heat source and thermal waves.It isargued that the spatial resolution of a imaging system operated in thenear field,such as SEAM and thermal wave microscope,is dependent onthe distance between the heat source and scatterer and,at best,the lateralresolution in SEAM is of the order of the diameter of the focal spot ofthe electron beam. 相似文献
130.