LLL算法及应用

LLL算法是很多数论算法的重要组成部分,在计算数论领域中起着相当重要的作用.它是由A.K.Lenstra,H.K.Lenstra和L.Lov·asz于1982年提出.介绍了LLL算法的相关定义及LLL约减基的性质,通过一个具体例子来说明LLL算法在计算数论中的重要应用.     

G相对乘积空间

定义出以一般的投影映射ft：X→Xt和一一的满广义序同态gt：L→Lt所诱导出来的G—Zadeh型函数为投影映射，通过这个投影映射得到G相对乘积空间，推广了原有的相对乘积空间，同时得到G相对乘积空间的几个性质．     

Influence of pinning center distribution on the pinning of two-dimensional vortex system

The superconductor sample had periodic distribution of pinned region (with length ofL _p) and unpinned region (with length ofL−L _p) along the driving force direction. Numerical study on the influence of the distribution of pinning centers on pinning of the two-dimensional vortex system showed that the critical depinning forceF _c, beyond which the vortex system begins to depin, increases with increase ofL _p, indicating that the homogeneity of pinning centers helps to enhance the critical electric current of a superconductor. We found that the critical depinning forceF _c depends logarithmically onL/L _p. Project supported by the Ministry of Science and Technology of China (NKBRSF-G19990646) and Zhejiang Proviace Foundation (199031).     

赋值格为险象识别格的一种非经典逻辑系统K#(Ⅱ)

研究赋值格为非线性序的一种非经典逻辑低矺#.在该系统中,格结构不同于Boole代数,蕴涵算子→取Kleene-Dienes算子RKD.得到若干结果,特别是K#-准重言式恰是经典命题逻辑C2中的重言式,从而也等于C2中的定理,即QT(K#)=T(C2)=Φ├ .     

A SINGLE-TONE SERIAL HF MODEM SCHEME

A HF receiver for data transmission based on Kalman filter and channelestimator is proposed.The simulation results show that the performance of the proposedscheme is about 2 dB better than that of Decision-Feedback Equalizer based onSquare-Root Kalman Algorithm(SRKA/DFE)and its computational complexity islower than that of Maximum Likelihood Sequence Estimation(MLSE).     

Fuzzy线性同余关系与Fuzzy线性子空间

本文在线性空间中提出了Fuzzy线性同余关系的概念,证明了任意域F上线性空间V上的所有Fuzzy线性同余关系所组成的格与V上所有Fuzzy线性子空间所组成的格是同构的.     

介观含时RLC电路的新量子化方法及其量子涨落

根据电阻产生的物理机制即电子声子相互作用提出了RLC电路量子化的一种新方法 .用这一方法研究电路中的量子涨落比用传统有效哈密顿方法得到的结果要小 .同时还发现 ,如果电容和电感含有时间 ,则可在电路中产生压缩态 .本文方法克服了传统方法在时间很长后电荷和电流趋于零的不足     

Jansian环上的余遗传挠对

给出了jansian环的定义,等价刻画了jansian环上的余遗传挠对,证明了R-模范畴上所有余遗传挠对构成的集合R-Ctors在R是jansian环时是一个格,且在jansian环尺上,R-Ctors与R-Jan之间存在格反同构,引进了使M为挠模的最小余遗传挠对ξ(M)=∧{σ=(T,F)|σ是余遗传挠对,并且M∈T},并给出ξ(M)一些格上的性质．     

A δ-function-like peak in the specific heat of two-dimensional vortex lattice: Monte carlo study

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A δ-function-like peak in the specific heat of two-dimensional vortex lattice: Monte carlo study

A repulsive vortex-vortex interaction model was used to numerically study the melting transition of the two-dimensional vortex system with Monte Carlo method. Then a δ-function-like peak in the specific heat was observed and the internal energy showed a sharp drop at the melting temperature, which indicated that there exists a first-order melting transition at finite temperatures. The Lindemann criterion was also investigated and valid, but different from previous simulation results.