紧李群上的三角多项式不变算子

讨论了紧李群上三角多项式不变算子的一些性质,证明了Faber-Marcinkiewiez公式的Berman推广在紧李群上也成立,同时还说明了紧李群上的Fourier级数具有类似于古典Fourier级数的一些敛散性。     

Teichmuller空间中的极值长度函数

利用极值长度函数，研究了Ｔｅｉｃｈｍｕｌｌｅｒ空间中的度量问题及多次调和性，得到了极值长度在地震形变下的变化规律。     

含时三次幂势系统传播子的精确解

本文应用正则变换的方法，以一般的含时不变量为正则动量，求得含时三次幂势系统传播子的精确解表达式。     

Frequency invariant beamforming via jointly optimizing spatial and frequency responses

Inbroadbandarraysignalprocessing ,thespec tralcharacteristicsofthetargetaremostlyusedintargetdetectionandtargetclassification .Sincetheradiatednoiseofthetargetgenerallyspreadsoverawidefrequencyband ,distortioninthepowerspec trummightappearifthebeamformerresponsevarieswithfrequency .Theso calledfrequencyinvariantbeamformer (FIB)techniqueisrequiredasaremedy .AnFIBisabeamformerinwhichtheresponseisap proximatelyconstantoversomedesignbandwidth .InRef .[1],anapproachtodesigningbroadbandbeamformer…     

符号函数矩阵判别法在水盐相图计算机成图中的应用Ⅱ.复杂三元水盐体系的W1-W2和m1-m2及X1-X2相图

作者以复杂的三元体系Li+ ,K+ ∥SO2 - 4 H2 O在 2 98.15K和 10 1kPa时的W1 W2 ,m1 m2 和X1 X2 相图为例 ,用符号函数矩阵判别法 (SFM法 ) ,对相图中各曲线的稳定区间及无变度点的稳定性进行了判别 ,所得结果均与实验事实相吻合 ,从而解决了此类相图的预测和计算机成图过程中的相关问题 .     

Лурье问题的降维解法

本文研究了题的降维解法.证明当c属于一个确定的线性变换的k维不变子空间时,原系统的绝对稳定性与一k维系统的绝对稳定性相同.文中特别证明了当c属于这个变换的一维或二维不变子空间时,猜测成立,并给出了一类系统绝对稳定的充要性代数条件.     

Fuzzy特征子群与全不变子群

本文讨论了群G的F特征子群与其水平子群族的关系;提出了F全不变子群的概念,研究了它的基本性质;最后就F子群的水平子群链的概念给出了一个注释.     

基于图像直方图的一维不变矩研究

由于基准日与实测图之间存在灰度变化，基于灰度不变矩的匹配方法不能满足实际匹配的要求．图像灰度变化时，对应的直方图基本形状保持不变．据此定义了基于直方围的一维不变矩，并提出基于直方图不变矩的匹配方法．由于直方图不变矩是基于一维矩的定义，运算时间大大减少．     

Prediction of solar cycle based on the invariant

A new method of predicting solar activities has been introduced in this paper. The method can predict both the occurrence time and the maximum number of sunspot at the same time. By studying the variation of sunspot, we find that the combination of the several variables was nearly invariable during the entire solar cydes, as called invariant. And just only by determining the start time of a cycle, we can predict the occurrence time of cycle‘s peak value accurately. Furthermore, according to observational data of the sunspot cycles, it showed that the sunspot maximum number has correlation not only with the prophase variety of the number in the cycle but also with the anaphase of the previous period. So we can introduce an equivalent regression coefficient, which can dynamically self-adapt to different cycle lengths, and effectively solve the inconsistency between the accuracy and the lead-time of the forecast. It can guarantee the satisfied accuracy and effectively increases the lead-time of the forecast. This method can predict the maximum sunspot number for solar cycle at the approximate half rise of the period. This method predicts that the occurrence time of the maximum sunspot number for cycle 24 will be in January 2011.     

一类高维非线性方程(组)自相似解的简易求法

对(2 1)维非线性偏微分方程进行相似变换后,根据相似变量不变性原理,提出了一个相似变量的复合变换,从而把(2 1)维偏微分方程最终化成常微分方程.将该方法用于KP方程、ZK方程、高维Burgers方程组,均得到了具有Palinlevé性质的常微分方程.通过进一步的分析求解得到KP方程和ZK方程的自相似渐进解,尤其是得到了高维耦合Burgers方程组的精确解.