A subalgebra of loop algebra A2^～ and its applications

A subalgebra of loop algebra A2^～ and its expanding loop algebra G^- are constructed. It follows that both resulting integrable Hamiltonian hierarchies are obtained. As a reduction case of the first hierarchy, a generalized nonlinear coupled Schroedinger equation, the standard heat-conduction and a formalism of the well known Ablowitz, Kaup, Newell and Segur hierarchy are given, respectively. As a reduction case of the second hierarchy, the nonlinear Schroedinger and modified Korteweg de Vries hierarchy and a new integrable system are presented. Especially, a coupled generalized Burgers equation is generated.     

电火花声源

在建筑声学及声学材料性能测试中,常常需要宽频带点声源。为此,我们研制了电火花声源。该设备是由充电、放电回路,放电电极,控制回路及触发回路所构成。经测试其性能达到使用要求,现场使用效果良好。     

A 3-color Theorem on Plane Graphs without 5-circuits

In this paper, we prove that every plane graph without 5-circuits and without triangles of distance less than 3 is 3-colorable. This improves the main result of Borodin and Raspaud [Borodin, O. V., Raspaud, A.： A sufficient condition for planar graphs to be 3-colorable. Journal of Combinatorial Theory, Ser. B, 88, 17-27 （2003）], and provides a new upper bound to their conjecture.     

有限域Fp上的周期序列

1.相似序列设 p 是一个素数,考虑有限域 F_p 上两端无穷的序列 A:…,a_(-1),a_0,a_1,…(简记作A={a_i}).两个序列 A={a_i}和 B={b_i},若有常数 n,使得对任意 i 均有 b_(i n)=a_i,即 B 与 A 移位等价,则这两个序列视为相同.序列 A={a_i}若有常数 n,使得对任意 i 均有 a_(i n)=a_i,则称 A 为周期序列.满足上述条件的 n 的最小正值称为 A 的本原周期,记作 P(A).     

HL—1M感应与低杂波组合电流驱动研究

本文结合ＨＬ－１Ｍ的基本参数，利用准线性的低杂波电流驱动理论和等离子体的电回路方程，研究了在控制等离子体总电流不变情形下欧姆感应和低杂洲入组合驱动电流的问题。结果表明，这一组合驱动方案对ＨＬ－１Ｍ装置的运行是可行的，其驱动电流分布可以通过发迹低杂流注入功率、波谱形状、等离子体电子温度、密度以及总等离子体电流等加以控制。     

KT—5C托卡马克射频波加热实验用回路天线的负载阻抗测量

针对ＫＴ－５Ｃ托卡马克装置等离子体的射频离子回旋波加热实验，本文给出一种回路天线负载阻抗的简便测量方法和测量结果。该方法的特点是，只涉及射频电流相对比值的测量，不要求专用设备，因此使物理量的标定、数据记录和处理都变得简单易行。     

基于多目标优化模型的旅游路线研究

旅游活动正在成为全球经济发展的重要动力之一,而旅游线路直接关系着旅游的时间、费用、旅游体验.为设计更合理的覆盖全国5A景区的旅游路线,本文使用聚类分析、贪婪算法、图论等方法并设计了合理的旅游体验函数,最终得到了从西安和北京出发的游客采用全程自驾或结合其它交通工具十年内游遍所有201个5A景区、费用最优、旅游体验最好的旅游线路.     

RLC耦合回路的另一种描述

一般采用两个谐振子模型来描述RLC回路.然而两个谐振子模型是两个二阶微分方程,求解起来比较复杂.为此我们针对RLC回路体系,理论上和实验上研究了一阶微分方程的耦合模理论与两个谐振子模型之间的关联.研究表明耦合模理论可以推广到电路体系.     

FLOW BEHAVIOR AND MASS TRANSFER IN THREE-PHASE EXTERNAL-LOOP AIRLIFT REACTORS WITH LARGE PARTICLES

The flow behavior and mass transfer in a three-phase external-loop airlift reactor can be improved by adding large particles. The mass transfer and liquid dispersion behavior for a three-phase external-loop reactor with large particles are studied in terms of the effect of the diameter and loading of the large particles on the liquid dispersion coefficient and mass transfer coefficient, The results showed that increasing the diameter or loading of the large particles tend to decrease dispersion and intensify mass transfer, and that an increase in the diameter of the large particles remarkably decreases the particle loop rate, while the effect of fine particles is much less notable.     

Study on Quantum Entanglement Between Mesoscopic Circuit and Environment at Coherent State

Taking into account the interaction between electrons and phonons, in the case without-rotating-wave aproximation, we study the entangling property between the mesoscopic circuit and environment at coherent state or equilibrium state. The result indicates that, in long time limit t →∞, the averages of charge and current in the circuit only depend on the average of the system at the initial state when the environment is initially at thermal equilibrimn. However, when the environment is initially at coherent state, the average of charge and current in the circuit is determined by the specific coherent state ensemble. Generally speaking, the entanglement between the circuit and environment will lead to the quantum state purity declining of the circuit, then the circuit emerges decoherent phenomenon, and so a mixed sta.te appears. Purity changes are related to the initial quantum state of environment and circuit. With the further evolution of time, coherence will be gradually restored, but cannot return to 1.