柱矢量光束的角动量

按照电磁场角动量的一般定义,研究了非近轴柱矢量光束的角动量,发现其自旋角动量主要取决于光束的偏振情况,而轨道角动量不仅取决于光束的波前相位因子,还与光束的偏振情况相关,并且都与光束的结构有关。即使在近轴近似下。柱矢量光束的角动量也不能自然地分解为互不相关的自旋角动量和轨道角动量两部分。     

Local word vectors guiding keyphrase extraction

Automated keyphrase extraction is a fundamental textual information processing task concerned with the selection of representative phrases from a document that summarize its content. This work presents a novel unsupervised method for keyphrase extraction, whose main innovation is the use of local word embeddings (in particular GloVe vectors), i.e., embeddings trained from the single document under consideration. We argue that such local representation of words and keyphrases are able to accurately capture their semantics in the context of the document they are part of, and therefore can help in improving keyphrase extraction quality. Empirical results offer evidence that indeed local representations lead to better keyphrase extraction results compared to both embeddings trained on very large third corpora or larger corpora consisting of several documents of the same scientific field and to other state-of-the-art unsupervised keyphrase extraction methods.     

Word sense disambiguation based on context selection using knowledge-based word similarity

In this paper, we introduce a novel knowledge-based word-sense disambiguation (WSD) system. In particular, the main goal of our research is to find an effective way to filter out unnecessary information by using word similarity. For this, we adopt two methods in our WSD system. First, we propose a novel encoding method for word vector representation by considering the graphical semantic relationships from the lexical knowledge bases, and the word vector representation is utilized to determine the word similarity in our WSD system. Second, we present an effective method for extracting the contextual words from a text for analyzing an ambiguous word based on word similarity. The results demonstrate that the suggested methods significantly enhance the baseline WSD performance in all corpora. In particular, the performance on nouns is similar to those of the state-of-the-art knowledge-based WSD models, and the performance on verbs surpasses that of the existing knowledge-based WSD models.     

Rn中向量的正交化

利用矩阵的第三种到初等变换,把R~n中任意一组线性无关的向量组化为正交组。     

Mini-research Experience in Simple Linear Regression

Within the undergraduate mathematics curriculum, the topic of simple least-squares linear regression is often first encountered in multi-variable calculus where the line of best fit is obtained by using partial derivatives to find the slope and y-intercept of the line that minimizes the residual sum of squares. A markedly different approach from linear algebra, which could also be introduced in multi-variable calculus, obtains the regression line by vector projection. The latter viewpoint offers elegant proof of the equation relating the total, explained and unexplained variations. Consideration of data with the same regression line and correlation opens the door for a “mini-research experience” (MRE). A sequel MRE gives rise to an open Research Experience for Undergraduates topic to analyze reflection sequences and a fundamental connection between complex analysis and regression analysis. A few general guidelines and basic goals for MREs are included for those whose main interest is in undergraduate research.     

从教育向量看第二条教育道路的实施

教育空间的运动向量决定了个人职业生涯的不断发展。向量的存在促使在职人员产生继续学习和深造的愿望。德国“第二条教育道路”的实施向在职人员开放了从职业教育通向高等教育的大门，在“学习——工作——学习”之间构筑起一条相互沟通的桥梁。     

混合动力汽车电机控制模型的仿真建立

通过分析混合动力汽车电机控制的方法,设计永磁同步电机的直接转矩控制系统;建立相应的数学控制模型,并对相关的因素进行分析;通过具体的系统设计,获得相应的仿真结论.     

曲线拟合的极小极大法

曲线拟合被应用于许多领域.文章提出了曲线拟合的极小极大法,通过研究极小极大剩余向量的计算方法,将问题转化为求解相容方程组问题.     

循环逆M-矩阵的逆特征值问题

首先给出了谱为实数集情况下的循环逆M-矩阵的逆特征值问题,在此基础上,从三阶与四阶矩阵入手,构造在谱为复数情况下的循环逆M-矩阵,进而推出在n阶的情况下谱为复数的循环逆M-矩阵的逆特征值问题定理,且文章中利用MatLab 6.5计算软件对引理以及部分定理编写程序求矩阵,用该软件中的特征值函数eig验证所求的矩阵正是所给的限制谱下的矩阵,并相应给出了数值例子。     

一类广义多值向量变分不等式

研究了Hausdorff拓扑向量空间中一类广义多值向量变分不等式问题（GMVVIP）,把定义在凸集上的GMVVIP部分地推广到了非凸集并运用KKM定理得到了这类GMVVIP解的存在性定理．