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关于自守型式的Langlands函子性(英文)
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作者 江迪华 《数学进展》 CSCD 北大核心 2008年第2期129-152,共24页
本文系该著者有关自守型式的Langlands函子性的演讲稿的细述及扩充文稿.特别强调了与该著者的近期工作相关的课题.
关键词 自守型式 langlands函子性 自守表示
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Riesz模范畴中自由函子的伴随性
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作者 王金萌 汤建钢 《伊犁师范大学学报(自然科学版)》 2024年第2期1-5,共5页
基于左R-模上Riesz空间的相关研究,给出了Riesz模范畴的概念,研究了Riesz模范畴中自由函子的伴随性及可裂性,证明了自由函子与遗忘函子是一对伴随函子,以及自由Riesz模F的一个满同态ϕ:M→F是可裂的.
关键词 Riesz模范畴 自由 伴随
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L子集范畴中定向函子与逆向函子的伴随性研究 被引量:1
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作者 张红 李国华 汤建钢 《伊犁师范学院学报(自然科学版)》 2010年第1期1-4,共4页
引入态射为Zadeh型映射的L子集范畴中Zadeh型定向函子与逆向函子的概念,证明它们是一对伴随函子.进一步引入态射为双诱导型映射的L子集范畴中双诱导型定向函子与逆向函子的概念,并证明它们也构成一对伴随函子。
关键词 L集范畴 Zadeh型定向 Zadeh型逆向 双诱导型定向 双诱导 型逆向 伴随
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函子Z(—)的正合性
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作者 刘荣玄 徐向阳 《赣南师范学院学报》 1999年第6期29-30,共2页
本文讨论了S—系范畴函子Z(— )的正合性 ,证明了函子Z(— )是左正合的 。
关键词 S-系范畴 正合 半群 同态 非奇异
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自由函子及其伴随函子
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作者 吴毅清 文蕴 《数学理论与应用》 2005年第4期41-43,共3页
本文证明了由集合范畴到f-模范畴的自由函子的存在性,构造了自由函子的伴随函子.
关键词 自由 f-模范畴 伴随 存在
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加法范畴上的伴随函子
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作者 陈焕艮 《大学数学》 1993年第3期5-7,共3页
本文改进了文[1]的结论,证明了:加法范畴上的伴随函子都是加法函子。
关键词 伴随 上积 上极限 模范畴 令长 上图 可证 处理方法
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试析斯多葛学派命题逻辑研究中的命题函子理论 被引量:1
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作者 孙雯 《保定学院学报》 2009年第3期14-16,共3页
斯多葛学派是古希腊的一个哲学学派,他们的前驱是麦加拉学派。命题逻辑是斯多葛逻辑的精华所在。斯多葛在亚里士多德的基础上,对命题理论的研究又有了新的突破,探讨了命题函子及命题函子的可互定义性。
关键词 斯多葛学派 命题逻辑 命题 可互定义
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Hom函子左正合的逆定理
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作者 杨宣 巴哈尔 《伊犁师范学院学报(社会科学版)》 2000年第1期79-80,共2页
线性代数中最基本的定理是Hom函子的左正合性定理,本文证明了它的逆命题。
关键词 线代数 二元 HOM 左正合定理 逆定理 空间 商空间 特例 映射 正合列
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方程逻辑Institution理论及其性质
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作者 刘富春 《广东有色金属学报》 2005年第1期61-64,共4页
在方程逻辑中,通过引入语句函子Eqn:Sign→Set和模型函子Alg:Sign→Catop,得到了方程逻辑可满足性条件定理,从而建立了方程逻辑Institution理论,并进一步讨论了它的一些性质,得到了自由理论态射的复合也是自由理论态射等结论.
关键词 INSTITUTION 逻辑 方程 可满足 ALG Set 态射 自由 定理
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半模范畴中Hom的左正合性 被引量:1
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作者 包玉宝 《山东师范大学学报(自然科学版)》 CAS 2003年第1期7-10,共4页
利用半模的差模定义了半模同态序列的正合 ,讨论了Hom函子的左正合性 .
关键词 半环 半模 范畴 差模 同态 HOM 左正合 可消半模
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代数结构的泛性并
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作者 候再恩 《西北轻工业学院学报》 1995年第1期28-31,共4页
本文从范畴论的观点出发,首次引入了代数结构的泛性并,弱泛性并的概念,讨论了它们的存在性及关系,为研究代数结构的并问题开辟了一种新途径。
关键词 代数结构 范畴
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基于Ω-范畴的定向与逆向函子伴随性的研究
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作者 耿俊 寇辉 《模糊系统与数学》 CSCD 北大核心 2014年第6期16-19,共4页
Ω-范畴具有范畴论和序理论的双重意义,可为计算机程序语言的语义提供量化的模型,本文给出了范畴RΩ(X)之间的Zadeh型定向函子与Zadeh型逆向函子的定义,同时证明了Zadeh型定向函子与Zadeh型逆向函子互为一对伴随函子。
关键词 Ω-范畴 Zadeh型定向 Zadeh型逆向 伴随
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双诱导型定向与逆向函子伴随性的研究
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作者 邵欣 耿俊 汤建钢 《数学的实践与认识》 北大核心 2015年第11期221-225,共5页
Ω-范畴具有范畴论和序理论的双重意义,可为计算机程序语言的语义提供量化的模型,给出了范畴(?)_(Ω_(1))(X)与范畴(?)_(Ω_(2))(Y)之间的双诱导型定向函子及双诱导型逆向函子的定义,同时证明了双诱导型定向函子与双诱导型逆向函子互为... Ω-范畴具有范畴论和序理论的双重意义,可为计算机程序语言的语义提供量化的模型,给出了范畴(?)_(Ω_(1))(X)与范畴(?)_(Ω_(2))(Y)之间的双诱导型定向函子及双诱导型逆向函子的定义,同时证明了双诱导型定向函子与双诱导型逆向函子互为一对伴随函子. 展开更多
关键词 Ω-范畴 双诱导型定向 双诱导型逆向 伴随
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Ω-左R-子模范畴一对双诱导函子的伴随性
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作者 耿俊 《模糊系统与数学》 北大核心 2019年第6期47-51,共5页
本文给出了Ω-左R-子模范畴的概念,得到了一对双诱导函子,证明了双诱导函子的伴随性.
关键词 Ω-左R-模范畴 双诱导 伴随
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Density functional theory study of influence of impurity on electronic properties and reactivity of pyrite 被引量:8
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作者 李玉琼 陈建华 +1 位作者 陈晔 郭进 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2011年第8期1887-1895,共9页
The electronic property of pyrite supercell containing As,Se,Te,Co or Ni hetero atoms were calculated using density functional theory(DFT),and the reactivities of pyrite with oxygen and xanthate were discussed by fr... The electronic property of pyrite supercell containing As,Se,Te,Co or Ni hetero atoms were calculated using density functional theory(DFT),and the reactivities of pyrite with oxygen and xanthate were discussed by frontier orbital methods.The cell volume expands due to the presence of impurity.Co and Ni mainly affect the bands near Fermi levels,while As mainly affects the shallow and deep valence bands,and Se and Te mainly affect the deep valence bands.Electronic density analysis suggests that there exists a strong covalent interaction between hetero atom and its surrounding atoms.By frontier orbital calculation,it is suggested that As,Co and Ni have greater influence on the HOMO and LUMO of pyrite than Se and Te.In addition,pyrite containing As,Co or Ni is easier to oxidize by oxygen than pyrite containing Se or Te,and pyrite containing Co or Ni has greater interaction with collector.These are in agreement with the observed pyrite practice. 展开更多
关键词 PYRITE IMPURITY density functional theory electronic properties REACTIVITY
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Analysis of radial basis function interpolation approach 被引量:4
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作者 邹友龙 胡法龙 +3 位作者 周灿灿 李潮流 李长喜 Keh-Jim Dunn 《Applied Geophysics》 SCIE CSCD 2013年第4期397-410,511,共15页
The radial basis function (RBF) interpolation approach proposed by Freedman is used to solve inverse problems encountered in well-logging and other petrophysical issues. The approach is to predict petrophysical prop... The radial basis function (RBF) interpolation approach proposed by Freedman is used to solve inverse problems encountered in well-logging and other petrophysical issues. The approach is to predict petrophysical properties in the laboratory on the basis of physical rock datasets, which include the formation factor, viscosity, permeability, and molecular composition. However, this approach does not consider the effect of spatial distribution of the calibration data on the interpolation result. This study proposes a new RBF interpolation approach based on the Freedman's RBF interpolation approach, by which the unit basis functions are uniformly populated in the space domain. The inverse results of the two approaches are comparatively analyzed by using our datasets. We determine that although the interpolation effects of the two approaches are equivalent, the new approach is more flexible and beneficial for reducing the number of basis functions when the database is large, resulting in simplification of the interpolation function expression. However, the predicted results of the central data are not sufficiently satisfied when the data clusters are far apart. 展开更多
关键词 Inverse problems radial basis function interpolation new approach
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Experimental and Theoretical Study of Hydrogen Atom Abstraction from C2H6 and C4H10 by Zirconium Oxide Clusters Anions 被引量:1
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作者 马嘉璧 吴晓楠 +2 位作者 赵艳霞 丁迅雷 何圣贵 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2010年第2期133-137,I0001,共6页
The reactions of anionic zirconium oxide clusters ZrxOy- with C2H6 and C4H10 are investi-gated by a time of flight mass spectrometer coupled with a laser vaporization cluster source.Hydrogen containing products Zr2O5H... The reactions of anionic zirconium oxide clusters ZrxOy- with C2H6 and C4H10 are investi-gated by a time of flight mass spectrometer coupled with a laser vaporization cluster source.Hydrogen containing products Zr2O5H- and Zr3O7H- are observed after the reaction. Den-sity functional theory calculations indicate that the hydrogen abstraction is favorable in the reaction of Zr2O5- with C2H6, which supports that the observed Zr2O5H- and Zr3O7H- are due to hydrogen atom abstraction from the alkane molecules. This work shows a newpossible pathway in the reaction of zirconium oxide cluster anions with alkane molecules. 展开更多
关键词 Time of flight mass spectrometry Zirconium oxide cluster anion Reactivity Density functional theory Hydrogen atom abstraction
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Density Functional Theory Study on Electronic and Magnetic Properties of Mn-doped (MgO)n (n=2-10) Clusters
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作者 王鹏 杨明霞 +2 位作者 张胜利 黄世萍 田辉平 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2013年第1期35-42,I0003,共9页
We study the geometries, stabilities, electronic and magnetic properties of (MgO)n (n=2-10) clusters doped with a single Mn atom using the density functional theory with the gener- alized gradient approximation. T... We study the geometries, stabilities, electronic and magnetic properties of (MgO)n (n=2-10) clusters doped with a single Mn atom using the density functional theory with the gener- alized gradient approximation. The optimized geometries show that the impurity Mn atom prefers to replace the Mg atom which has low coordination number in all the lowest-energy MnMgn-1On (n=2-10) structures. The stability analysis clearly represents that the average binding energies of the doped clusters are larger than those of the corresponding pure (MgO)n clusters. Maximum peaks of the second order energy differences are observed for MnMg~_1On clusters at n=6, 9, implying that these clusters exhibit higher stability than their neighboring clusters. In addition, all the Mn-doped Mg clusters exhibit high total magnetic moments with the exception of MnMgO2 which has 3.00μB. Their magnetic behavior is attributed to the impurity Mn atom, the charge transfer modes, and the size of MnMgn- 1On clusters. 展开更多
关键词 Density functional theory MnMgn-1On cluster Electronic property MAGNETICPROPERTY
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High Pressure Structural Instability and Thermal Properties of Rutile TiO2 from First-principles
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作者 胡翠娥 曾召益 +3 位作者 孔春阳 崔玉亭 张林 蔡灵仓 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2014年第1期69-74,I0004,共7页
We report a first-principles calculation to investigate the structural instability of rutile TiO2. The high pressure structural parameters are well reproduced. The calculated phonon disper-sion curves agree with exper... We report a first-principles calculation to investigate the structural instability of rutile TiO2. The high pressure structural parameters are well reproduced. The calculated phonon disper-sion curves agree with experiments at zero pressure. Under compression, we capture a large softening around Γ point, which indicates the structural instability. From the high pressure elastic constants, we find that the rutile TiO2 is unstable when the applied pressure is larger than 17.7 GPa. Within the quasi-harmonic approximation, the thermal equation of state, thermal expansion oefficient, bulk modulus, and entropy are well reproduced. The thermal properties confirm the available experimental data and are extended to a wider pressure and temperature range. 展开更多
关键词 TiO2 Phonon dispersion THERMODYNAMICS Density functional theory
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Effect of Pressure on Electronic Structures and Optical Properties of Rocksalt InN
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作者 许明耀 徐明 +1 位作者 段满益 胡庆平 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2010年第3期293-296,I0001,共5页
The electronic structures and optical properties of rocksalt indium nitride (INN) under pressure were studied using the first-principles calculation by considering the exchange and correlation potentials with the ge... The electronic structures and optical properties of rocksalt indium nitride (INN) under pressure were studied using the first-principles calculation by considering the exchange and correlation potentials with the generalized gradient approximation. The calculated lattice constant shows good agreement with the experimental value. It is interestingly found that the band gap energy Eg at the F or X point remarkably increases with increasing pressure, but Eg at the L point does not increase obviously. The pressure coefficient of Eg is calculated to be 44 meV/GPa at the F point. Moreover, the optical properties of rocksalt InN were calculated and discussed based on the calculated band structures and electronic density of states. 展开更多
关键词 Density functional theory Electronic structure Optical property Rocksalt InN
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