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实方阵的另外一种实相似标准型 被引量:2
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作者 张新发 《大学数学》 2018年第2期100-105,共6页
具有相同初等因子的方阵是相似的,运用这个结果,通过分块初等变换,给出了实方阵在实相似下的一种新标准型,这种标准型类似于复方阵的Jordan标准型,从而更有利于相关计算.这对于同学们对Jordan标准型的拓展理解是十分有益的.
关键词 实相似 不变因子 初等因子
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实三元阵的块对角相似实标准形
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作者 全焕 屈鹏展 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第5期161-162,共2页
基于提出的实n元阵定义,对n=3的情形,根据实三元阵特征值计算公式,并利用原先已建立的三元数概念及其运算性质,推导出了实三元阵的一种特殊形式的相似标准形——块对角相似实标准形.
关键词 n元阵 三元阵 特征变换 块对角相似标准形
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实对称矩阵正交相似对角化的探讨
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作者 邱洪彬 张辉 《课程教育研究(学法教法研究)》 2016年第1期11-11,共1页
研究了实对称矩阵的正交相似对角化问题,利用归纳法证明可逆变换矩阵经Schmidt方法正交化得到正交矩阵后如何实现对实对称矩阵的相似对角化。
关键词 对称矩阵相似 正交 Schmidt正交化 特征值
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关于两个矩阵之和逆阵的讨论 被引量:1
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作者 周梦 张玉俊 《大学数学》 2011年第5期149-151,共3页
在数域F上的n阶矩阵环中讨论两个矩阵之和的逆阵(A+B)-1与矩阵A,B之逆A-1,B-1的关系,给出复数域和实数域上等式(A+B)-1=A-1+B-1成立的充要条件.
关键词 矩阵之和 逆矩阵 相似 实相似 若当标准形
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Shape Similarity Measures of Linear Entities 被引量:1
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作者 ZhangQiaopin LIDeren 《Geo-Spatial Information Science》 2002年第2期62-67,共6页
The essential of feature matching technology lies in how to measure the similarity of spatial entities.Among all the possible similarity measures,the shape similarity measure is one of the most important measures beca... The essential of feature matching technology lies in how to measure the similarity of spatial entities.Among all the possible similarity measures,the shape similarity measure is one of the most important measures because it is easy to collect the necessary parameters and it is also well matched with the human intuition.In this paper a new shape similarity measure of linear entities based on the differences of direction change along each line is presented and its effectiveness is illustrated. 展开更多
关键词 feature matching similarity measures of spatial entities shape analysis differences of direction change
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Hierarchical 3D mechanical parts matching based-on adjustable geometry and topology similarity measurements 被引量:1
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作者 马嵩华 田凌 《Journal of Central South University》 SCIE EI CAS 2014年第1期89-99,共11页
A hierarchical scheme of feature-based model similarity measurement was proposed,named CSG_D2,in which both geometry similarity and topology similarity were applied.The features of 3D mechanical part were constructed ... A hierarchical scheme of feature-based model similarity measurement was proposed,named CSG_D2,in which both geometry similarity and topology similarity were applied.The features of 3D mechanical part were constructed by a series of primitive features with tree structure,as a form of constructive solid geometry(CSG) tree.The D2 shape distributions of these features were extracted for geometry similarity measurement,and the pose vector and non-disappeared proportion of each leaf node were gained for topology similarity measurement.Based on these,the dissimilarity between the query and the candidate was accessed by level-by-level CSG tree comparisons.With the adjustable weights,our scheme satisfies different comparison emphasis on the geometry or topology similarity.The assessment results from CSG_D2 demonstrate more discriminative than those from D2 in the analysis of precision-recall and similarity matrix.Finally,an experimental search engine is applied for mechanical parts reuse by using CSG_D2,which is convenient for the mechanical design process. 展开更多
关键词 D2 shape distribution CSG tree geometry dissimilarity topology dissimilarity adjustable weight
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Similarity simulation of bolt support in a coal roadway in a tectonic stress field 被引量:6
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作者 LU Yan LIU Changyou 《Mining Science and Technology》 EI CAS 2010年第5期718-722,共5页
In order to study the mechanism of bolt support and the behavior of strata in a coal roadway under tectonic stress,deformation and destruction of a roof,floor and sides were studied using an experiment in similarity s... In order to study the mechanism of bolt support and the behavior of strata in a coal roadway under tectonic stress,deformation and destruction of a roof,floor and sides were studied using an experiment in similarity simulation.We also studied the mechanism and types of bolt support functions in the coal roadway.The results show that with an increase in horizontal tectonic stress,the strata in the roof and floor of the roadway gradually separate and become shear failure areas.Coal in side walls moves,but its integrity remains intact.Side bolts are mainly affected by tension and roof bolts by the effect of shear. 展开更多
关键词 tectonic stress coal roadway bolt support similarity simulation
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A METHOD OF SHAPE ENCODING AND RETRIEVAL 被引量:1
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作者 Huang Xianglin Song Lei Shen Lansun(Signal and Information Processing Lab, Beijing Polytechnic University, Beijing 100022) 《Journal of Electronics(China)》 2002年第3期302-306,共5页
A method of shape encoding and retrieval is proposed in this letter, which uses centripetal code to encode shape and extracts shape's convex for retrieval. For the rotation invariance and translation invariance of... A method of shape encoding and retrieval is proposed in this letter, which uses centripetal code to encode shape and extracts shape's convex for retrieval. For the rotation invariance and translation invariance of the centripetal code and the normalization of convex,the proposed retrieval method is similarity transform resistant, Experimental results confirm this capability. 展开更多
关键词 Shape retrieval Shape encoding Centripetal code Similarity transform QBE(Query By Example)
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STUDY ON SIMULATION EXPERIMENT OF EQUIVALENT MATERIAL APPLIED IN COAL MINE
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作者 柴敬 苏普正 刘晋安 《Journal of Coal Science & Engineering(China)》 1998年第1期45-50,共6页
Based on simulation experiments of a number of scientific research items, the latest progress of experiment method and test technique about equivalent material simulation are introduced. The bevelopment of experiment ... Based on simulation experiments of a number of scientific research items, the latest progress of experiment method and test technique about equivalent material simulation are introduced. The bevelopment of experiment technique makes analogy simulation evolve into quantitative research about support-surrounding rock relationship from qualitative experiment.From this, large scale stereoscopic simulation experiment is developed, which has never appeared in underground pressure research in China. The present mold specification is 3 - 6 m×2. 0 m ×1. 5 m. 展开更多
关键词 simulation experiment large scale stereoscopic mold model support supportsurrounding rock relationship displacement test
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Symmetry Reductions of a 1.5-Layer Ocean Circulation Model
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作者 HUANG Fei 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5X期895-900,共6页
The (2+1)-dimensional nonlinear 1.5-layer ocean circulation model without external wind stress forcing is analyzed by using the classical Lie group approach. Some Lie point symmetries and their corresponding two-di... The (2+1)-dimensional nonlinear 1.5-layer ocean circulation model without external wind stress forcing is analyzed by using the classical Lie group approach. Some Lie point symmetries and their corresponding two-dimensional reduction equations are obtained. 展开更多
关键词 SYMMETRY similarity reductions 1.5-layer ocean circulation model
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AN EFFICIENT APPROACH TO COMMENT SPAM IDENTIFICATION 被引量:1
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作者 Yang Yuhang Zhao Tiejun Zheng Dequan Yu Hao 《Journal of Electronics(China)》 2009年第5期644-650,共7页
This paper proposes a novel approach to comment spam identification based on content analysis. Three main features including the number of links, content repetitiveness, and text similarity are used for comment spam i... This paper proposes a novel approach to comment spam identification based on content analysis. Three main features including the number of links, content repetitiveness, and text similarity are used for comment spam identification. In practice, content repetitiveness is determined by the length and frequency of the longest common substring. Furthermore, text similarity is calculated using vector space model. The precisions of preliminary experiments on comment spam identification conducted on Chinese and English are as high as 93% and 82% respectively. The results show the validity and language independency of this approach. Compared with conventional spam filtering approaches, our method requires no training, no rule sets and no link relationships. The proposed approach can also deal with new comments as well as existing comments. 展开更多
关键词 Comment spam Automatic identification Content analysis BLOG
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Ab initio Study on Ionization Energies of 1-Methyl-hypoxanthine
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作者 Ke-dong Wang Da-peng Yang Yu-fang Liu 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2012年第5期540-544,I0003,共6页
Six low-lying tautomers of 1-methyl-hypoxanthine have been studied at the B3LYP/aug-cc- pVDZ level. Two tautomers NTH and N9H with the comparable energies are far more stable than the others. The vertical ionization e... Six low-lying tautomers of 1-methyl-hypoxanthine have been studied at the B3LYP/aug-cc- pVDZ level. Two tautomers NTH and N9H with the comparable energies are far more stable than the others. The vertical ionization energies of the tautomers calculated with ab initio electron propagator theory in the P3/aug-cc-pVDZ approximation are in agreement with the experimental data from photoelectron spectroscopy. According to the calculated relative energies and the comparison between the simulated and the experimental photoelectron spectra, it demonstrates that there are at least two tautomers of 1-methyl-hypoxanthine in the gas-phase experiments. 展开更多
关键词 TAUTOMER Ionization energy Relative energy Photoelectron spectrum
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Experimental Simulation and Analysis of the Yarn Motion Track in a Hairiness-Reducing Nozzle
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作者 韩大伟 王建坤 郭会勇 《Journal of Donghua University(English Edition)》 EI CAS 2009年第6期616-620,共5页
A visible magnified and simulated nozzle was designed and installed on a winding machine according to the similarity principle of Reynolds number, to study the yarn motion track in hairiness-reducing nozzle. High-spee... A visible magnified and simulated nozzle was designed and installed on a winding machine according to the similarity principle of Reynolds number, to study the yarn motion track in hairiness-reducing nozzle. High-speed photography was used to observe the yam instantaneous motion state in the nozzle. The results show that the yarn motion track seems to be a cylindrical helix which is close to inner wall in the twisting chamber and kept the same with different technical parameters, such as diameter of the twisting chamber and jet pressure in orifices. According to simulation results and reasonable simplification, the motion track equation and the rotational equation of the yarn could be derived. The velocity of the swirl and hairiness is faster than that of the yarn balloon, so there is enough time for hairiness to be wrapped into the main body of yarn and hence the hairiness is reduced. 展开更多
关键词 hairiness-reducing nozzle YARN simulated nozzle high-speed photography motion track yarn balloon velocity
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坐标几何Ⅲ,Ⅳ
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作者 熊华平 《上饶师范学院学报》 1988年第5期1-12,共12页
本文Ⅲ用坐标几何观点简要讨论一般除环上的射影仿射与仿射几何.本文Ⅳ则简要讨论一些2维实几何及其可定向性,所有的概念和结论都可以推广到高维。
关键词 坐标几何空间 允许坐标系类 坐标变换群 坐标自同构群 除环上射影仿射空间和仿射空间 射影平面 (射影)仿射平面 (射影)等仿射平面 (射影)相似平面 (射影)欧氏平面 射影M有向平面 M有向平面 奇维射影有向空间
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方阵的开方问题 被引量:1
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作者 田代军 周泽华 《数学的实践与认识》 CSCD 北大核心 2013年第12期272-276,共5页
运用Jordan标准形理论,完整解决了复数方阵、实数方阵能否开平方、开立方的问题.
关键词 JORDAN标准形 实相似标准形
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