一类二阶三点边值问题单调正解的存在性

利用范数形式的锥上不动点定理,研究了一类二阶微分方程三点边值问题单调正解的存在性．分别给出了齐次和非齐次边界条件下的三点边值问题单调正解存在的充分条件,确定了解曲线的凹凸性,并且给出了一个应用实例．     

同步电机定子绕组不对称状态的分析方法——Ⅱ.参数的计算方法

参数计算是分析电机绕组不对称状态的关键问题。用多回路法分析同步电机定子绕组不对称状态时所用的参数,与绕组正常时的参数不同,它包括定子绕组每个支路、转子各阻尼回路和励磁绕组的自感系数和互感系数。定子支路参数可以由单个线圈参数组成。本文在考虑铁心饱和的情况下,研究了参数计算的两种方法,即气隙磁导分析法和磁场数值分析法,并将它们应用于实际电机的计算,验证和比较了两种计算方法。     

代数体函数的定理

本文定义并研究了代数体函数的加法．结合杨乐的方法,将仪洪勋联系重值的亚纯函数唯一性定理推广到多值的代数体函数．     

B(0,N)-graded Lie superalgebras coordinatized by quantum tori Dedicated to Professor Sheng GONG on the occasion of his 75th birthday

We use a fermionic extension of the bosonic module to obtain a class of B(0, A)graded Lie superalgebras with nontrivial central extensions.     

Complex Behaviors of a Simple Traffic Model

In this paper, we propose a modified traffic model in which a single car moves through a sequence of traffic lights controlled by a step function instead of a sine function. In contrast to the previous work [Phys. Rev. E 70 (2004)016107], we have investigated in detail the dependence of the behavior on four parameters, ω, α, η, and a1, and given three kinds of bifurcation diagrams, which show three kinds of complex behaviors. We have found that in this model there are chaotic and complex periodic motions, as well as special singularities. We have also analyzed the characteristic of the complex period motion and the essential feature of the singularity.     

基于NURBS的叶片全三维气动优化设计

采用NURBS对叶轮机械叶片的关键截面和基迭线进行参数化表达,该表达方法为基于现代优化算法的叶片粘性气动最优化设计提供设计变量,以实现对叶片截面和叶片基迭线弯、倾、扭、掠变形的控制。该方法编写成的叶片全三维控制模块和网格自动生成程序、CFD程序集成到商业软件iSIGHT中,构成了叶片全三维粘性气动优化设计平台。在该平台上选用ASA成功进行了某透平静叶片的全三维粘性气动最优化设计。实验结果表明通过同时改变叶片截面和叶片基迭线的方法能够有效地抑制叶片的二次流损失,因此该设计平台在叶片气动优化设计中有广阔的应用前景。     

Quantum Tunneling of Massive Particles from a Garfinkle-Horowitz-Strominger Dilatonic Black Hole

Hawking radiation is viewed as a process of quantum tunneling. The massive particles‘ tunneling from Garfinkle-Horowitz-Strominger black hole is investigated. Using Jingyi Zhang‘s de Broglie wave method, we get the unthermal spectrum, and the result is consistent with the underlying unitary theory.     

Two New Eremophilenolides from Ligularia muliensis

Many Ligularia species have long been used as traditional folk medicine for theirantibiotic, antiphlogistic and antitussive activities1, and were found to be an importantsource of eremophilane. In the course of our search for bioactive sesquiterpenoids, w…     

一种带时间窗和车辆数目限制的车辆路线问题及其算法

本文提出了带时间窗和车辆数目限制的车辆路线问题的数学模型,针对该问题的特征构造了一种路线生成算法和禁忌搜索算法,并对Solomon提出的C1、R1、RC1类数据集给出了数值运算的结果,实验结果表明算法是有效的.     

浅谈数学中的合情推理

合情推理是数学发现的重要方法,本文介绍了合情推理的概念、作用、途径.所论及的内容对数学教学有参考价值.