The Exact Hausdorff Measure Function of the Level Sets of Multi-parameter Symmetric Stable Process

In this paper, we investigate the Hausdorff measure for level sets of N-parameter Rd-valued stable processes, and develop a means of seeking the exact Hausdorff measure function for level sets of N-parameter Rd-valued stable processes. We show that the exact Hausdorff measure function of level sets of N-parameter Rd-valued symmetric stable processes of index α is Ф（r） = r^N-d/α （log log l/r）d/α when Nα 〉 d. In addition, we obtain a sharp lower bound for the Hausdorff measure of level sets of general （N, d, α） strictly stable processes.     

磁共振法研究(Fe1-xCox)84Zr3.5Nb3.5B8Cu1纳米晶薄带的磁各向异性

铁磁共振(FMR)实验研究(Fe1-xCox)84Zr3.5 Nb3.5B8Cu1(x=0.0,0.2,0.4,0.6, 0.8)合金薄带的各向异性,易轴在薄带的横向方向,同等宽度样品的各向异性常数K′随Co掺杂量的增加而减小, K′值在4.67×10-5 J/m(x=0.0)到2.54×10-5 J/m4(x=0.8)之间.由于磁化率的虚部χ″(H)随磁场强度H非线性变化,在低场(0-12 mT)有一个与FMR信号强度相当的低场非共振信号.特别是对Fe84Zr3.5 Nb3.5B8Cu1合金薄带的磁化,在可逆磁化(0-2.0 mT)和趋近饱和磁化(9.0-12 mT)区域, dχ″/dH=0;不可逆畴壁移动过程中,交流磁化率虚部χ″(H)与磁场强度的n次方即Hn(n≥3)有关;在磁畴转动过程中χ″(H)正比于H2(瑞利区),(dχ″)/(dH)为常数;而且发现,有不可逆畴壁移动-磁畴转动三段交替变化的过程,此过程对应三种磁畴的消失过程.     

集中荷载下叠合梁抗剪强度

本文对低叠合面钢筋破简支在合梁二阶段受力的斜截面抗剪性能进行了试验研究，并运用非线性有限元分析和试验实测数据，得出了一个适合于集中荷载下高低叠合面叠合梁的抗剪强度计算公式．     

复合多层介质在可变温度和集中荷载作用下的位移和应力

研究了多层介质中的热弹性位移和应力.多层介质具有不同厚度,各层又具有不同的弹性性质,最上层表面上作用热荷载和集中荷载.假设各层分别是均匀、各向同性弹性材料,各层相关的位移分量是轴对称的,对称轴为各层表面的垂线.因此,各层应力函数满足无体力的单一方程.利用积分变换法求解了该方程,对由任意多个层数构造的多层介质,给出了其相应层数基础热弹性位移和应力的解析表达式.并对3层介质和4层介质时的数值结果进行了比较.     

Kondo绝缘体CeNiSn的低温物性研究

对ＣｅＮｉＳｎ的多晶样品进行了磁化率ｘ（１．８－２０Ｋ），电阻率ρ（３－１００Ｋ），Ｈａｌｌ系数Ｒ（４．２－３２Ｋ）和低温比热（１．２－３０Ｋ）的测量，经Ｘ射线衍射分析，该样品为单相结构，磁化率Ｘ在较高温区（３０－２００Ｋ）遵循Ｃｕｒｉｅ－Ｗｅｉｓｓ定律，并可推定出Ｃｅ离子的价态是＋３价的，在３０Ｋ以下磁化率Ｘ明显地偏离该定律并急剧增大，显示出明显的Ｋｏｎｄｏ行为，在１５Ｋ以上，ρ（Ｔ）很好地符合     

Smooth Transition from Shakura—Sunyaev Disc to Advection—Dominated Accretion Flow

We solve a set of basic equations describing black hole accretion flows using the standard Runge-kutta method and a bridging formula for the radiative cooling,and show that a smooth transition from a shakura-Sunyaev disc to an advection-dominated accretion flow is realizable for the high-viscosity case,without the need of involving any extra mechanism of energy transport.     

Horizontal Connection and Horizontal Mean Curvature in Carnot Groups

In this paper we give a geometric interpretation of the notion of the horizontal mean curvature which is introduced by Danielli Garofalo-Nhieu and Pauls who recently introduced sub- Riemannian minimal surfaces in Carnot groups. This will be done by introducing a natural nonholonomic connection which is the restriction （projection） of the natural Riemannian connection on the horizontal bundle. For this nonholonomic connection and （intrinsic） regular hypersurfaces we introduce the notions of the horizontal second fundamental form and the horizontal shape operator. It turns out that the horizontal mean curvature is the trace of the horizontal shape operator.     

系数在复数域C上的Kac—Moody代数的低维上同调

§1引言和记号 李代数的上同调性质与其本身的结构有着密切的联系.本文我们将给出李代数G(A)的系数在C上的低维上同调.无限维李代数的上同调的计算比有限维的复杂得多.而且即使在有限维的情况,这样的上同调也是难计算的.因此与[1]一样,我们采取直接的方法计算.主要结果是定理3.1.最后指出,此结果推广了[1].