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.     

单快拍相干信号自适应波束形成方法

针对低快拍条件下相干信号波束形成问题,提出一种单快拍相干自适应波束形成方法。首先,构造Duvall特征消除器滤除阵列接收信号中的期望信号,再利用空间平滑方法解相关。然后,依据Hung Tuner算法对平滑后的协方差矩阵进行Gram Schmidt正交化,快速重构干扰信号子空间。最后,将静态权矢量在干扰子空间内的正交投影作为波束形成最优权矢量。该算法可有效避免协方差矩阵求逆和特征分解造成的复杂计算,且能降低由于期望信号泄露造成的子空间估计误差,在单快拍条件下性能良好。仿真分析验证了算法的优越性和理论分析的有效性。     

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     

正交拉丁矩阵的上下界

引进了一般形式的拉丁矩阵,并讨论了相互正交的拉丁矩阵个数的上下界。     

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.     

在AutoCAD中利用三维模型生成二维投影视图的技巧

快速而精确的绘制设计图纸，是每个设计人员的愿望，这里介绍一种由三维模型直接生成二维投影的方法，给设计提供一种新思路。