给定零点的最近复系数多项式计算问题

Nearest polynomial with given properties has many applications in control theory and applied mathematics. Given a complex univariate polynomial f(z) and a zero α, in this paper we explore the problem of computing a complex polynomial f(z) such that f(α) = 0 and the distance ∥f-f ∥ is minimal. Considering most of the existing works focus on either certain polynomial basis or certain vector norm, we propose a common computation framework based on both general polynomial basis and general vector norm, and summarize the computing process into a four-step algorithm. Further, to find the explicit expression of f(z), we focus on two specific norms which generalize the familiar lp-norm and mixed norm studied in the existing works, and then compute f(z) explicitly based on the proposed algorithm. We finally give a numerical example to show the effectiveness of our method.     

Stereodynamics of the O(3P) with H2 (D2) (v=0, j=0) reaction

Quasi-classical trajectory theory is used to study the reaction of O(³P) with H₂ (D₂) based on the ground ³A' potential energy surface (PES). The reaction cross section of the reaction O+H₂ → OH+H is in excellent agreement with the previous result. Vector correlations, product rotational alignment parameters 〈P₂ (j'·k)〉 and several polarized-dependent differential cross sections are further calculated for the reaction. The product polarization distribution exhibits different characteristics that can be ascribed to different motion paths on the PES, arising from various collision energies or mass factors.     

Stereodynamics of the O（3P） with H2（D2） （ν=0,j=0） reaction

Quasi-classical trajectory theory is used to study the reaction of O(3 P) with H 2 (D 2) based on the ground 3 A″ potential energy surface (PES).The reaction cross section of the reaction O+H 2 →OH+H is in excellent agreement with the previous result.Vector correlations,product rotational alignment parameters P 2 (j · k) and several polarizeddependent differential cross sections are further calculated for the reaction.The product polarization distribution exhibits different characteristics that can be ascribed to different motion paths on the PES,arising from various collision energies or mass factors.     

用液晶驱动芯片驱动有机发光显示屏的设计

应用TFT液晶驱动芯片设计了一个TFT有机发光显示屏用的驱动电路。目前有机发光显示屏(OLED)是平板显示领域的研究热点,在研制长寿命、高稳定的器件方面取得了一定的进展,但与之配套的驱动电路还不是很成熟,而且专用芯片又价格昂贵。液晶显示器件的配套驱动芯片功能比较完善,且价格低廉,所以应用TFT液晶驱动芯片设计了TFT有机发光显示屏用的驱动电路很有实际意义。比较了TFT LCD与TFT OLED驱动原理的异同点,从原理上探讨了将TFT LCD用的驱动芯片加以改造,使其可用于驱动TFT OLED,并采用三星公司的TFT液晶驱动芯片S6C0655和S6C0671设计了一个驱动64×3×80的全彩色OLED显示屏的驱动电路。     

Effect of Rolling Massage on Particle Moving Behaviour in Blood Vessels

The rolling massage manipulation is a classic Chinese massage, which is expected to eliminate many diseases. Here the effect of the rolling massage on the particle moving property in the blood vessels under the rolling massage manipulation is studied by the lattice Boltzmann simulation. The simulation results show that the particle moving behaviour depends on the rolling velocity, the distance between particle position and rolling position. The average values, including particle translational velocity and angular velocity, increase as the rolling velocity increases almost linearly. The result is helpful to understand the mechanism of the massage and develop the rolling techniques.     

Van Hove奇异性、非电声作用与HgBa2Cun-1CunO2n＋2＋δ（n=1,2,3）系统的超导电性

考虑态密度的Van Hove奇异性和非电声作用,我们在BCS理论框架内研究了HgBa2Cun-1CunO2n 2 δ(n=1,2,3)系统的超导转变温度和同位素效应.结果表明,当同时考虑Van Hove奇异性和非电声作用时,可以更好地解释HgBa2Cun-1CunO2n 2 δ(n=1,2,3)系统的超导性质.     

改进的用于AMOLED的移位寄存器的设计与仿真

p-type技术能够简化低温多晶硅TFT的制作过程。基于这个原因,本文提出了一种改进的利用p-type多晶硅TFT构成的移位寄存器结构,它可以作为AMOLED或者AMLCD外围驱动电路的一部分被集成到显示屏的衬底上。改进的移位寄存器由6个时钟控制,每个单元包含6个p-type多晶硅TFT。本文利用HSPICE进行仿真,验证了电路功能的正确性。利用韩方在多晶硅制作方面的优势,已经利用以上技术完成了96×3×128的AMOLED显示屏的制作。     

新型表面聚合联萘胺型手性固定相的制备及评价

采用(R)-(+)-1,1'-联萘2,2'-二胺(DABN)作为手性单体, 以键合在3-氨基硅胶上的4,4'-偶氮-二(4-腈基)戊酸(ACVA)作为引发剂, 通过直接引发表面聚合反应, 制备了一种新型HPLC刷型手性固定相(CSP-a). 采用庚烷-醇-有机调节剂-有机酸为流动相, 在柱温30 ℃和UV 254 nm检测条件下实现了在CSP-a上联萘酚衍生物、3,5-二硝基苯甲酰-氨基酸甲酯和乙酯以及一种反式环氧乙烷衍生物对映体的色谱拆分, 考察了有机调节剂和有机酸对样品在CSP-a上拆分的影响. 结果表明, CSP-a对于π-酸及π-碱类化合物都有明显拆分效果, 三氟醋酸调节作用优于冰醋酸, 流动相中加入CH2Cl2和CHCl3可增强保留, 改善分离度.     

一维铁磁材料光子晶体的光学传输特性

利用光学传输矩阵方法,模拟计算了由铁磁材料组成的一维光子晶体的光学传输特性.研究了能带结构随介质层厚度h(O ≤h≤0.5λ0 λ0=1.2×10-6m)变化的规律,并与相同周期结构的普通光子晶体的传输特性进行了比较.结果表明,当O.15λ0＜h＜0.165λ0时,铁磁光子晶体的带隙宽度略小于普通光子晶体的带隙宽度;在h取其他值时铁磁光子晶体的带隙宽度远远大于普通光子晶体的带隙宽度,并且在h=0.25λ0时存在最大值.这种结构的光子晶体通过掺杂有望在多通窄带滤波技术中得到广泛的应用.     

棉花产量的模糊气象预测方法

设计15种模糊气象预测方法,对棉花产量进行预测。研究结果表明,以相关系数和条件概率分别构成模糊向量和模糊矩阵,最后抉择为最佳的Y~=~XB~RP数学模型。通过一个实例195年次运算,有12种模糊气象预报方法回报准确率达100%。