基于网络技术的虚拟实验设计

介绍了所设计的虚拟实验系统,对系统方案、基本功能以及在设计过程中所遇到的一些设计问题进行分析并提出了解决方法。     

On the Kirchhoff index of some toroidal lattices

The resistance distance is a novel distance function on a graph proposed by Klein and Randi? [D.J. Klein and M. Randi?, Resistance distance, J. Math. Chem. 12 (1993), pp. 81–85]. The Kirchhoff index of a graph G is defined as the sum of resistance distances between all pairs of vertices of G. In this article, based on the result by Gutman and Mohar [I. Gutman and B. Mohar, The quasi-Wiener and the Kirchhoff indices coincide, J. Chem. Inf. Comput. Sci. 36 (1996), pp. 982–985], we compute the Kirchhoff index of the square, 8.8.4, hexagonal and triangular lattices, respectively.     

K-g-框架扰动的稳定性

在Hilbert空间中定义了K-g-框架,研究了Hilbert空间中K-g-框架扰动的稳定性,利用分析与框架理论上的方法和技巧,得到了K-g-框架满足扰动稳定性的一些充分条件,所得的结论推广了g-框架扰动稳定性的相关结果.     

A characteristic difference method for the variable-order fractional advection-diffusion equation

In this paper, we consider a variable-order fractional advection-diffusion equation with a nonlinear source term (VOFADE-NST) on a finite domain. Combining the characteristic method and the finite difference method, a characteristic finite difference method for solving the VOFADE-NST is presented. Its stability and convergence are analyzed. This new method is shown to be more efficient and superior to the standard finite difference method. Numerical experiments are carried out and the results demonstrate the effectiveness of theoretical analysis.     

双级制冷压缩机配置的节能优化

通过对国产典型产品比较发现,双级螺杆式压缩机COP值高于双级活塞式压缩机。在-35℃/35℃典型工况下,平均COP值高11.4%,最大增加了18.3%。实例分析表明,不同方案配置的电机功率差别很大。活塞机比螺杆机方案电机总功率明显偏大,平均大20%,差别最大的总功率增加了42%。因此,在制冷系统设计选型阶段,应对压缩机不同选型方案COP及电机功率进行优化,应认真核算实际需要的电机功率。对于年运行≥3000小时的系统,应选用Y2-E或者YX系列高效节能型电动机。     

Solution to Nonlinear Parabolic Equations Related to the P-Laplacian

Consider the following Cauchy problem:u_t = div(|▽u ~m |~ p-2▽u~m),(x,t) ∈ST=R~N ×(0,T),u(x,0) = μ,x ∈R~N,where 1相似文献   

Lω-空间中的ω-Tychonoff分离性

在Lω-空间中,借助于ω-连续的L值Zadeh型函数,给出ω-Tychonoff分离性的定义,并系统研究ω-Tychonoff分离性的特征性质。证明ω-Tychonoff分离性是可遗传的、任意可乘的、ω-弱同胚不变的。     

杂质对量子环上荷负电激子的影响

讨论了在杂质电荷的电场影响下,量子环上荷负电激子X-的能-光谱及其Aharonov-Bohm振荡.当轨道总角动量不守恒的情况下,提出如何按轨道角动量分类构成基矢组并用典型的对角化方法求解体系的本征值和本征矢的方案.该方案计算简单,计算结果令人满意.还讨论了运用等效电荷变换公式和变换图,把位于三维空间的杂质简化为二维平面(或x轴上)的杂质处理,使计算变得更简单,对结果的分析也更明晰.