一个包含Smarandache Ceil函数的对偶函数的方程

利用初等方法研究了一个包含Smarandache Ceil函数Sk(n)的对偶函数-Sk(n),给出了当k=6时方程-S6(1)+-S6(2)+…+-S6(n)=6Ω(n)的具体正整数解。     

完全市场中的Yaari对偶效用最大化问题

效用最大化问题是经济学和金融学中的最重要和最基本的问题之一.经典的von NeumannMorgenstern期望效用模型在实践中都受到诸多挑战.Yaari对偶效用理论是重要的非期望效用模型之一.本文研究完全金融市场中的Yaari对偶效用最大化问题.前人在某种单调性条件下得到了该问题最优解的显式刻画.而在本文中,无需任何单调性条件,我们得到了最优解的显式刻画.     

一种三维DNA构象的交互式参数化模拟方法

提出一种适用于移动平台的交互式参数化DNA三维动态模拟方法.依据不同的DNA模式参数,利用基于自然特征的AR识别技术和曲线,直观形象地展示DNA的多种三维构象,动态模拟碱基互补配对、碱基对边堆叠边螺旋、 DNA复制的边解旋边半保留半不连续复制等微观过程.研发DNA三维动态模拟原型系统,实验结果表明,通过视、听、触、实物等多通道交互,有利于用户随时随地自主使用,增强用户对DNA知识的理解、掌握,引导用户进行更深层次的思考,提高知识的传递效率.     

不可微多目标数学规划的高阶对偶性

引入了一类不可微多目标数学规划的高阶对偶模型。在广义凸性条件下,建立了弱对偶性定理。其结果推广和统一了近期文献上出现的结果。     

APCI5000电气自动化成套装置设计

电气自动化成套装置种类繁多，并广泛应用于电力系统．结合现场实际商业运行期所积累的经验，并根据市场预测以及目前工控机发展动态，提出了采用APCI5000工业控制计算机实现电气自动化成套装置设计的最佳方案．     

关于树的逆对偶度一个猜想的证明

关于树的逆对偶度有下列猜想:Ivd≥R,本文证明,当R>0时,Ivd≥R+1/3     

Orthogonally linear polarized lasers(Ⅰ)--principle and devices

Two kinds of orthogonally polarized lasers, i.e. Zeeman dual-frequency lasers and four-frequency ring lasers (laser gyros) have been developed since the invention of lasers, in which circularly polarized lights oscillate. This paper summarizes recent progress of the study on orthogonally linear polarized lasers with the standing wave cavity. Firstly, the expression of producing orthogonally linear polarized lights in standing wave cavity, i.e. laser frequency splitting, is given. Almost all the birefringence effects made in laser cavity are used to produce orthogonally linear polarized lights. The effect includes quartz crystal birefringence effect, calcite birefringence effect,stress (photo-elastic) birefringence effect and electro-optical birefringence effect. Secondly, several physical phenomena of orthogonally linear polarized lasers are discovered such as aberrance of frequency splitting curves caused by optical activity of quartz crystal, order-passing of longitudinal modes with frequency splitting and strong modes competition. Finally, because the traditional Zeeman dual frequency laser cannot output frequency difference larger than 3 MHz, the approaches of obtaining larger frequency difference are studied. The sequential results, several kinds of orthogonally polarized lasers, are described, such as birefringence dual frequency lasers outputting a frequency difference from 40 MHz to hundreds of megahertz, birefringence-Zeeman dual frequency lasers outputting a frequency difference from 1 MHz to hundreds of megahertz, the LD pumped YAG birefringence dual frequency laser outputting frequency difference of several gigahertz, and the lasers whose longitudinal mode spacing is c/4L instead of c/2L.     

分配格的二个等价条件

首先讨论了格的子集生成幻和生成对偶幻的运算性质。然后给出一个反例，指出［１］中一定理有误，并由此获得分配格的两个等价条件（即：格是分配格的两个等价命题）。     

一些特殊树的对偶带宽

图G的对偶带宽是指图G中相邻两点最小标号差的最大值。确定了一些特殊树的对偶带宽，主要结果如下：(1)如果树T有n个顶点，并且其最大度△(T)不小于[n/2]，那么树T的对偶带宽等于n一△(T)的充要条件为T是双层星且其内星的中心为最大度顶点；(2)完全二叉树T2,k的对偶带宽等于2^k-1；(3)等高单毛虫树Pm,n的对偶带宽为[mn/2]。