Z──循环矩阵及其对角化

文［１］讨论了循环矩阵的对角化问题。本文讨论更广泛的一类循环矩阵──Ｚ─循环矩阵。首先确定了交换环上Ｚ──循环矩阵集的代数结构，然后解决复Ｚ──循环矩阵的对角化问题。     

向量丛上的联络映射

论述了向量丛上联络的性质，得到流形Ｍ与欧氏空间局部等距的一个充要条件，并且证明了Ｍ作为切丛ＴＭ中的子流形时，Ｍ的法丛与ＴＭ是等距的。     

SOFM和HMM在矢量量化码本优化中的应用

在语音压缩编码中，矢量量化占有很大比重和计算量。码本的好坏与方法的选择有很大关系。将基于神经网络的ＳＯＦＭ（自组织特征映射算法）和ＨＭＭ（隐含马尔可夫过程）应用于矢量量化，从而产生更为优良的码本。     

统计流形在切丛上提升的等积仿射结构

具有等积仿射结构的统计流形在贝叶斯统计理论中有着重要应用,主要讨论统计流形及其切丛上的等积仿射结构,得到了统计流形的无挠仿射联络和其在切丛上提升的仿射联络的等积仿射性是一致的.     

N(~4S)+NO(X~2II)→N_2(X~3Σ_g~-)+O(~3P)反应的立体动力学(英文)

采用准经典轨线方法研究了在不同碰撞能下,碰撞反应N(4S) NO(X2!)→N2(X3"g-) O(3P)在两个最低势能面3A″和3A′产物与反应物之间的矢量相关.结果表明,对于不同的碰撞能,在两个势能面上反应产物的转动取向展示了不同的特征和趋势.发生在3A″势能面上的反应主要由外平面机理支配,而发生在3A′势能面上的反应倾向于受内平面机理支配.这些差异来自于两个势能面的不同构型.     

A framework for classification with single feature kernel matrix

In this paper, we propose a novel classification framework using single feature kernel matrix. Different from the traditional kernel matrices which make use of the whole features of samples to build the kernel matrix, this research uses features of the same dimension of any two samples to build a sub-kernel matrix and sums up all the sub-kernel matrices to get the single feature kernel matrix. We also use single feature kernel matrix to build a new SVM classifier, and adapt SMO (Sequential Minimal Optimization) algorithm to solve the problem of SVM classifier. The results of the experiments on several artificial datasets and some challenging public cancer datasets display the classification performance of the algorithm. The comparisons between our algorithm and L₂-norm SVM on the cancer datasets demonstrate that the accuracy of our algorithm is higher, and the number of support vectors selected is fewer, indicating that our proposed framework is a more practical approach.     

A computational model for direction relations between spatial objects in GIS

Direction relations between spatial objects have been a research focus in different fields like spatial reasoning, spatial query, GIS, CAD/CAM, and AI. A novel model named Radial model is proposed to obtain both quantitative and qualitative direction relations based on the principle of the ray transmitting as a straight line. The framework of the proposed model is composed of reference point, reference, and target object. Theoretically, we group direction relations into three cases (case I: point/point; case II: point/line and point/area; case III: line/line, line/area and area/area) for calculation based on point-set theory. Additionally, we employ the model in calculating direction relations on the vector and raster spatial data model in GIS.     

Background Independent Quantum Mechanics, Classical Geometric Forms and Geometric Quantum Mechanics—I

The geometry of the symplectic structures and Fubini-Study metric is discussed. Discussion in the paper addresses geometry of Quantum Mechanics in the classical phase space. Also, geometry of Quantum Mechanics in the projective Hilbert space has been discussed for the chosen Quantum states. Since the theory of classical gravity is basically geometric in nature and Quantum Mechanics is in no way devoid of geometry, the explorations pertaining to more and more geometry in Quantum Mechanics could prove to be valuable for larger objectives such as understanding of gravity.     

Asymmetric conditional volatility in international stock markets

Recent studies show that a negative shock in stock prices will generate more volatility than a positive shock of similar magnitude. The aim of this paper is to appraise the hypothesis under which the conditional mean and the conditional variance of stock returns are asymmetric functions of past information. We compare the results for the Portuguese Stock Market Index PSI 20 with six other Stock Market Indices, namely the SP 500, FTSE 100, DAX 30, CAC 40, ASE 20, and IBEX 35. In order to assess asymmetric volatility we use autoregressive conditional heteroskedasticity specifications known as TARCH and EGARCH. We also test for asymmetry after controlling for the effect of macroeconomic factors on stock market returns using TAR and M-TAR specifications within a VAR framework. Our results show that the conditional variance is an asymmetric function of past innovations raising proportionately more during market declines, a phenomenon known as the leverage effect. However, when we control for the effect of changes in macroeconomic variables, we find no significant evidence of asymmetric behaviour of the stock market returns. There are some signs that the Portuguese Stock Market tends to show somewhat less market efficiency than other markets since the effect of the shocks appear to take a longer time to dissipate.     

酸溶法光纤传像束酸溶工艺的研究

在实验的基础上给出了酸溶玻璃的基本组成、制备工艺及性能参数,论述了酸溶法光纤传像束酸溶机理,酸溶工艺及影响像束酸溶的一些因素。实验结果表明,选用合适的酸溶液,控制好酸的浓度、温度和时间的量化关系,对于降低传像束的断丝率,提高传像束的性能及其良品率,具有非常明显的效果。