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21.
利用图论和代数的方法研究离散几何中的两个铺砌问题:1)给出1×2长方形铺砌多米诺骨牌的充分必要条件;2)对高维空间盒子的情形,给出m_1×m_2×…×m_n砖能够铺砌a_1×a_2×…×a_n盒子的一些必要条件和充要条件. 相似文献
22.
A. G. Aleksandrov 《Functional Analysis and Its Applications》2005,39(4):245-255
We introduce the notion of logarithmic index of a vector field on a hypersurface and prove that the homological index can be expressed via the logarithmic index. Then both invariants are described in terms of logarithmic differential forms for Saito free divisors, which are hypersurfaces with nonisolated singularities, and all contracting homology groups of the complex of regular holomorphic forms on such a hypersurface are computed. In conclusion, we consider the case of normal hypersurfaces, including the case of an isolated singularity, and describe the contracting homology of the complex of regular meromorphic forms with the help of the residue of logarithmic forms. 相似文献
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This paper is concerned with the travelling wave solutions of an integro-difference competition system, of which the purpose is to model the coinvasion–coexistence process of two competitors with age structure. The existence of non-trivial travelling wave solutions is obtained by constructing generalized upper and lower solutions. The asymptotic and non-existence of travelling wave solutions are proved by combining the theory of asymptotic spreading with the idea of contracting rectangle. 相似文献
26.
Jan Benacka 《International Journal of Mathematical Education in Science & Technology》2016,47(1):149-155
This paper gives an account of an experiment in which 33 high school students of age 16–19 acquired the principles of the integral calculus through applying the rectangle method in spreadsheet to calculate the area of a planar figure bounded by the graph of a function and the volume of a body created by the rotation of the graph. A questionnaire survey was carried out to find out whether the students found the lesson interesting, contributing to their mathematical and technological knowledge and motivating to continue with more complicated tasks. 相似文献
27.
A study of the stabifity of plane Poiseuille flow at higher Reynolds number is made. Within a "triple-deck" structural framework, the qualitative behaviour of the eigenvalue of Orr-Sommerfeld equation is analytically obtained. The corresponding eigenfunction is formulated approximately. 相似文献
28.
Saeed Dinarvand Mohammad Mehdi Rashidi Ahmad Doosthoseini 《Central European Journal of Physics》2009,7(4):791-799
In this paper, the problem of laminar, isothermal, incompressible and viscous flow in a rectangular domain bounded by two
moving porous walls, which enable the fluid to enter or exit during successive expansions or contractions is solved analytically
by using the homotopy analysis method (HAM). Graphical results are presented to investigate the influence of the nondimensional
wall dilation rate α and permeation Reynolds number Re on the velocity, normal pressure distribution and wall shear stress.
The obtained solutions, in comparison with the numerical solutions, demonstrate remarkable accuracy. The present problem for
slowly expanding or contracting walls with weak permeability is a simple model for the transport of biological fluids through
contracting or expanding vessels.
相似文献
29.
Alexandros Patsourakos 《Letters in Mathematical Physics》1997,41(4):391-402
In this Letter, we construct a natural contracting homotopy in the usual cochain complex of free Lie algebras. As a consequence, we prove that the triple cohomology of Lie algebras coincides with a slightly different form of the standard cohomology theory. 相似文献
30.
Ca-Sm2O3-Fe体系生成Sm2Fe17的研究 总被引:1,自引:0,他引:1
对由Ca-Sm2O3-Fe体系通过还原扩散反应生成Sm2Fe17合金的过程进行热力学和动力学分析; 研究了产物Sm2Fe17合金的收率及Sm和残余CaO的含量. 结果表明 还原扩散法制备Sm2Fe17合金的收率较高, 均大于80%, 且残余CaO的含量极低, 均小于0.55%; 随着温度的上升和反应时间的延长, Sm2Fe17合金的收率和Sm2Fe17合金中Sm的含量均增大. 收缩核模型处理结果表明 液态Sm和固态Fe之间的包晶反应为整个还原扩散反应过程的控速步骤; 还原扩散反应的表观活化能为73.74 kJ·mol-1, 指前因子为7.79×10-3. 相似文献