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B(X)上保持算子拟仿射性或值域稠性的线性映射
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作者 崔建莲 侯晋川 《数学年刊(A辑)》 CSCD 北大核心 2003年第1期41-46,共6页
设X和Y是无限维的复Banach空间,Φ是从B(X)到B(Y)保单位的线性满射.本文证明了Φ双边保算子的拟仿射性当且仅当Φ为同构或反同构;Φ双边保算子的值域稠性当且仅当Φ是同构.
关键词 保持算子 值域 压缩谱 拟仿射 线保持映射
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数值域可加性研究
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作者 许然 郭亚明 +2 位作者 孙星睿 曾志坚 吴德玉 《理论数学》 2020年第3期221-225,共5页
在数值域理论中,线性算子数值域的次可加性是平凡的,但可加性成立的条件却是苛刻的。对有限维复空间上的数值域可加性成立条件进行研究,利用数值域的酉不变性和正规矩阵数值域恰为其特征值的凸组合等性质,先探讨两个Hermite矩阵的数值... 在数值域理论中,线性算子数值域的次可加性是平凡的,但可加性成立的条件却是苛刻的。对有限维复空间上的数值域可加性成立条件进行研究,利用数值域的酉不变性和正规矩阵数值域恰为其特征值的凸组合等性质,先探讨两个Hermite矩阵的数值域可加性成立的充要条件,其次探讨Hermite矩阵和反Hermite矩阵数值域可加性成立的充要条件,最后给出了二维正规矩阵数值域可加性成立的充要条件,即两个矩阵的特征值对应的特征空间有非空交集且第一个矩阵的特征值连线平行于第二个矩阵的特征值连线。 展开更多
关键词 值域可加 酉不变 HERMITE矩阵 正规矩阵
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蕴涵命题真值表的应用及缺陷
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作者 南旭耀 《陕西广播电视大学学报》 2001年第2期78-81,共4页
在人类思维的逻辑领域 ,以数理逻辑为代表的现代逻辑 ,对以形式逻辑为代表的传统逻辑产生了十分深刻的影响。但在二者的整合过程中 ,却出现了不合谐的音符 ,尤其是数理逻辑蕴涵命题真值表在传统逻辑中的应用 ,使推理中出现了标准、形式... 在人类思维的逻辑领域 ,以数理逻辑为代表的现代逻辑 ,对以形式逻辑为代表的传统逻辑产生了十分深刻的影响。但在二者的整合过程中 ,却出现了不合谐的音符 ,尤其是数理逻辑蕴涵命题真值表在传统逻辑中的应用 ,使推理中出现了标准、形式的所谓合理性与结果之间的自身矛盾性 ,成为困扰逻辑界的一大难题。本文从数理逻辑命题的构成、蕴涵命题的取值特征、数理逻辑与形式逻辑的同一性、反差异性等几个方面 ,力图说明作为自我完备的一个符号体系的数理逻辑 ,其蕴涵命题的真值取值有着自身的值域性的缺陷 ,而形式逻辑在借用的过程中 ,却没有注意到这一点 ,只注重了二者的同一性却忽视了二者的差异性 。 展开更多
关键词 数理逻辑 蕴涵命题 真值表 值域性 形式逻辑
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A modified time domain interpolation method for LS channel estimation in OFDM systems 被引量:4
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作者 Zhang Yenan Xu Feiyun Jia Minping 《Journal of Southeast University(English Edition)》 EI CAS 2022年第3期219-226,共8页
A modified time domain interpolation method is proposed for orthogonal frequency division multiplexing(OFDM)systems to address the problem that time domain interpolation in the least square(LS)channel estimation metho... A modified time domain interpolation method is proposed for orthogonal frequency division multiplexing(OFDM)systems to address the problem that time domain interpolation in the least square(LS)channel estimation method based on comb-type pilots cannot choose the pilot spacing flexibly.Firstly,the estimated channel frequency response(CFR)at pilot positions in the frequency domain is obtained by LS channel estimation based on comb-type pilots,and the estimated channel impulse response(CIR)in the time domain is obtained by linear interpolation and inverse fast Fourier transform(IFFT).Secondly,the error of the estimated CIR obtained by linear interpolation is analyzed by theoretical deduction,and a method for correcting it is proposed.Finally,an estimated CFR at all subcarrier positions in the frequency domain is obtained by performing zero padding in the time domain and fast Fourier transform(FFT)on the modified CIR.The simulation results suggest that the proposed method gives similar performance to time domain interpolation,yet it does not need to meet the condition of time domain interpolation that the number of subcarriers must be an integral multiple of pilot spacing to use it.The proposed method allows for flexible pilot spacing,reducing the number of pilots and the consumption of subcarriers used for channel estimation. 展开更多
关键词 orthogonal frequency division multiplexing(OFDM) channel estimation linear interpolation time domain interpolation
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Effect of fiber angle on LYP steel shear walls behavior 被引量:2
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作者 Farzad Hatami Ali Ghamari Farshad Hatami 《Journal of Central South University》 SCIE EI CAS 2014年第2期768-774,共7页
Steel shear wall(SSW) was properly determined using numerical and experimental approaches.The properties of SSW and LYP(low yield point) steel shear wall(LSSW) were measured.It is revealed that LSSW exhibits higher pr... Steel shear wall(SSW) was properly determined using numerical and experimental approaches.The properties of SSW and LYP(low yield point) steel shear wall(LSSW) were measured.It is revealed that LSSW exhibits higher properties compared to SSW in both elastic and inelastic zones.It is also concluded that the addition of CFRP(carbon fiber reinforced polymers) enhances the seismic parameters of LSSW(stiffness,energy absorption,shear capacity,over strength values).Also,stress values applied to boundary frames are lower due to post buckling forces.The effect of fiber angle was also studied and presented as a mathematical equation. 展开更多
关键词 carbon fiber reinforced polymers fiber angle low yield point steel shear wall post buckling COMPOSITE
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Characteristics of Clustering Debris Flows in Wenchuan Earthquake Zone 被引量:3
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作者 MA Chao HU Kai-heng +1 位作者 ZOU Qiang TIAN Mi 《Journal of Mountain Science》 SCIE CSCD 2013年第6期953-961,共9页
Clustering debris-flow events, namely many debris flows simultaneously triggered by a regional rainstorm in a large-scale mountainous area,occurred in four regions of Wenchuan earthquake stricken areas in 2008 and 201... Clustering debris-flow events, namely many debris flows simultaneously triggered by a regional rainstorm in a large-scale mountainous area,occurred in four regions of Wenchuan earthquake stricken areas in 2008 and 2010. The characteristics of the clustering debris flows are examined with regard to triggering rainfall, formation process, and relationship with the earthquake by field survey and remote sensing interpretation. It is found that the clustering events occurred nearly at the same time with the local peak rainstorms, and the rainfall intensity-duration bottom limit line for clustering debris flows is higher than the worldwide line. It means that more rainfall is needed for the occurrence of the clustering debris flows. Four kinds of major formation processes for these debris flows are summarized: tributary-dominated, mainstreamdominated, transformation from slope failures, and mobilization or liquefaction of landslide. The four regions has a spatial correlation with the strongquake-influenced zone with the peak ground acceleration = 0.2 g and the seismic intensity > X. 展开更多
关键词 Clustering debris flows Wenchuanearthquake Rainfall threshold Formation process
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NUMERICAL SIMULATION EXPERIMENTS OF THE IMPACTS OF LOCAL LAND-SEA THERMODYNAMIC CONTRASTS ON THE SCS SUMMER MONSOON ONSET 被引量:2
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作者 任雪娟 钱永甫 《Journal of Tropical Meteorology》 SCIE 2003年第1期1-8,共8页
The important effects of local land-sea thermodynamic contrast between the South China Sea (SCS) and Indochina Peninsula on SCS summer monsoon onset are preliminarily studied by using two sets of SSTA tests and two id... The important effects of local land-sea thermodynamic contrast between the South China Sea (SCS) and Indochina Peninsula on SCS summer monsoon onset are preliminarily studied by using two sets of SSTA tests and two ideal tests in s-p regional climate model. The result shows that warm SST in the SCS in winter and spring is favorable for the formation of monsoon circulation throughout all levels of the atmosphere over the sea, which hastens the onset of SCS summer monsoon. The effects of cold SST are generally the opposite. The local land-sea contrast in the SCS is one of the possible reasons for SCS summer monsoon onset. Superposed upon large-scale land-sea thermodynamic differences, it facilitates the formation of out-breaking onset characteristics of SCS summer monsoon in the SCS area. 展开更多
关键词 local land-sea thermodynamic contrast SCS summer monsoon p-σregional climate model
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Robust color image hiding method in DCT domain
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作者 LI Qing-zhong YU Chen CHU Dong-sheng 《Optoelectronics Letters》 EI 2006年第3期217-220,共4页
This paper presents a robust color image hiding method based on YCbCr color system in discrete cosine transform (DOT) domain,which can hide a secret color image behind a public color cover image and is compatible wi... This paper presents a robust color image hiding method based on YCbCr color system in discrete cosine transform (DOT) domain,which can hide a secret color image behind a public color cover image and is compatible with the international image compression standard of JPEG. To overcome the grave distortion problem in the restored secret image,this paper proposes a new embedding scheme consisting of reasonable partition of a pixel value and sign embedding. Moreover, based on human visual system (HVS) and fuzzy theory,this paper also presents a fuzzy classification method for DOT sub-blocks to realize the adaptive selection of embedding strength. The experimental results show that the maximum distortion error in pixel value for the extracted secret image is ±1. And the color cover image can provide good quality after embedding large amount of data. 展开更多
关键词 DCT 域值 图象隐藏 鲁棒 离散分析
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关于函数y=x+k/x的探讨
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作者 周立强 杜海柱 《数学教学通讯(教师阅读)》 2010年第7期50-51,共2页
本文研究了函数y=x+k/x(k≠0)的曲线类型、单调性与值域.此函数的图象形状是双曲线,函数的单调性及值域与七的大小有关。
关键词 函数 双曲线 单调值域 求导
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The Uniqueness of Meromorphic Functions with Common Range Sets and Deficient Values 被引量:2
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作者 LUWei-ran WANGJun 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第1期13-16,共4页
In this paper, the uniqueness of meromorphic functions with common range sets and deficient values are studied. This result is related to a question of Gross.
关键词 meromorphic function UNIQUENESS sharing sets
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Uniform Convergence of Higher Order Fejér Interpolation Polynomials in a Complex Domain
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作者 涂天亮 杨乔 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2002年第1期13-24,共12页
For a Jordan domain D in the complex plane satisfying certain boundary conditions a function f B(D), we prove that the corresponding higher order Fejer interpolation polynomials based on Fejer points converge to f(z... For a Jordan domain D in the complex plane satisfying certain boundary conditions a function f B(D), we prove that the corresponding higher order Fejer interpolation polynomials based on Fejer points converge to f(z) uniformly on D. These extend some known results. 展开更多
关键词 complex domain higher order Fejer interpolation uniform convergence.
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Infinitely Many Radially Symmetric Solutions to Superlinear Boundary Value Problems in Annular Domains
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作者 郭宗明 《Journal of Mathematical Research and Exposition》 CSCD 1998年第2期191-196,共6页
In this paper we show that a class of superlinear boundary value problems in annular domains have infinitely many radially symmetric solutions. The result is obtained without other restrictions on the growth of the no... In this paper we show that a class of superlinear boundary value problems in annular domains have infinitely many radially symmetric solutions. The result is obtained without other restrictions on the growth of the nonlinearities. Our methods rely on the energy analysis and the phase plane angle analysis of the solutions for the associated ordinary differential equations. 展开更多
关键词 boundary value problems radial solutions shooting methods annular domains.
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CTE Solvability, Nonlocal Symmetry and Explicit Solutions of Modified Boussinesq System 被引量:4
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作者 任博 程雪苹 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第7期84-92,共9页
A consistent tanh expansion(CTE) method is used to study the modified Boussinesq equation. It i proved that the modified Boussinesq equation is CTE solvable. The soliton-cnoidal periodic wave is explicitly given by a ... A consistent tanh expansion(CTE) method is used to study the modified Boussinesq equation. It i proved that the modified Boussinesq equation is CTE solvable. The soliton-cnoidal periodic wave is explicitly given by a nonanto-BT theorem. Furthermore, the nonlocal symmetry for the modified Boussinesq equation is obtained by th Painlev′e analysis. The nonlocal symmetry is localized to the Lie point symmetry by introducing one auxiliary dependen variable. The finite symmetry transformation related with the nonlocal symemtry is obtained by solving the initia value problem of the prolonged systems. Thanks to the localization process, many interaction solutions among soliton and other complicated waves are computed through similarity reductions. Some special concrete soliton-cnoidal wav interaction behaviors are studied both in analytical and graphical ways. 展开更多
关键词 modified Boussinesq equation CTE method nonlocal symmetry symmetry reduction
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A priori estimates and blow-up behavior for solutions of-QNu- Veu in bounded domain in R^N 被引量:2
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作者 XIE Ru Long GONG Hua Jun 《Science China Mathematics》 SCIE CSCD 2016年第3期479-492,共14页
Let Q_N be an N-anisotropic Laplacian operator, which contains the ordinary Laplacian operator,N-Laplacian operator and the anisotropic Laplacian operator. We firstly obtain the properties of Q_N, which contain the we... Let Q_N be an N-anisotropic Laplacian operator, which contains the ordinary Laplacian operator,N-Laplacian operator and the anisotropic Laplacian operator. We firstly obtain the properties of Q_N, which contain the weak maximal principle, the comparison principle and the mean value property. Then a priori estimates and blow-up analysis for solutions of-Q_(N^u) = Ve^u in bounded domain in R^N, N≥2 are established.Finally, the blow-up behavior of the only singular point is also considered. 展开更多
关键词 blow-up behavior N-anisotropic Laplacian N-anisotropic Liouville equation
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A DECODING ALGORITHM FOR GENERAL ZZ_4-LINEAR CODES
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作者 CUIJie 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2004年第1期16-22,共7页
In this correspondence, a decoding algorithm for the general Z_4-linear codesis given and the complexity of the decoding algorithm is estimated.
关键词 Z_4-linear code test set voronoi region
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