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二元边界奇点在RH^*-等价下的分类及识别 被引量:1
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作者 郭瑞芝 任耀庆 《湖南师范大学自然科学学报》 CAS 北大核心 2008年第4期7-11,共5页
运用Nakayama引理,将无限维简化为有限维来处理分类问题.对于二元边界奇点,运用Nakayama引理和R*H-等价一个充分必要条件,给出了在RH*-等价下,余维数不大于4的二元边界奇点的完整分类及识别.
关键词 RH^*-等价 分类 识别条件
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类钴Rh^(18+)离子3p^63d^9-3p^53d^(10),3p^63d^9-3p^63d^84p跃迁的计算
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作者 陈明伦 《计算物理》 CSCD 北大核心 2003年第4期369-371,共3页
 用多组态自洽场方法,结合提出的半经验拟合公式,计算了高离化态类钴Rh18+离子3p63d9-3p53d10,3p63d9-3p63d84p跃迁和振子强度,并与实验进行了比较.
关键词 类钴Rh^18+离子 振子强度 能级跃迁 半经验拟合公式 高离化态 类钴铷离子
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氘化锂中Rh^(2+){A}中心g因子和超精细结构常数的理论研究 被引量:1
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作者 张华明 邬劭轶 +2 位作者 鲁广铎 张志红 魏丽华 《山东大学学报(理学版)》 CAS CSCD 北大核心 2008年第1期36-39,共4页
基于晶体场模型,建立了四角对称(压缩八面体)中4d7离子的各向异性g因子g‖、g⊥和超精细结构常数A‖、A⊥的微扰公式,并应用于氘化锂(LiD)中Rh2+{A}中心。考虑了立方场参量Dq、四角场参量Ds和Dt对g因子的贡献,以及芯区极化常数κ和杂质... 基于晶体场模型,建立了四角对称(压缩八面体)中4d7离子的各向异性g因子g‖、g⊥和超精细结构常数A‖、A⊥的微扰公式,并应用于氘化锂(LiD)中Rh2+{A}中心。考虑了立方场参量Dq、四角场参量Ds和Dt对g因子的贡献,以及芯区极化常数κ和杂质离子4d和5s轨道混合引起的缩小因子H对超精细结构常数的贡献。计算表明,理论与实验符合较好,对应的参量值分别为Ds≈-313 cm-1,Dt≈-52 cm-1,H≈0.502,即体系具有一定程度的四角畸变和中心离子5s轨道混合。 展开更多
关键词 电子顺磁共振(EPR) 晶体场理论 Rh^2+离子 LID
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Potential effects of sea level rise on the soil-atmosphere green-house gas emissions in Kandelia obovata mangrove forests
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作者 Jiahui Chen Shichen Zeng +3 位作者 Min Gao Guangcheng Chen Heng Zhu Yong Ye 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2023年第4期25-32,共8页
Mangrove forests are under the stress of sea level rise(SLR)which would affect mangrove soil biogeochemistry.Mangrove soils are important sources of soil-atmosphere greenhouse gas(GHG)emissions,including carbon dioxid... Mangrove forests are under the stress of sea level rise(SLR)which would affect mangrove soil biogeochemistry.Mangrove soils are important sources of soil-atmosphere greenhouse gas(GHG)emissions,including carbon dioxide(CO_(2)),methane(CH_(4))and nitrous oxide(N_(2)O).Understanding how SLR influences GHG emissions is critical for evaluating mangrove blue carbon capability.In this study,potential effects of SLR on the GHG emissions were quantified through static closed chamber technique among three sites under different intertidal elevations,representing tidal flooding situation of SLR values of 0 cm,40 cm and 80 cm,respectively.Compared with Site SLR 0 cm,annual CO_(2) and N_(2)O fluxes decreased by approximately 75.0%and 27.3%due to higher soil water content,lower salinity and soil nutrient environments at Site SLR 80 cm.However,CH_(4) fluxes increased by approximately 13.7%at Site SLR 40 cm and 8.8%at Site SLR 80 cm because of lower salinity,higher soil water content and soil pH.CO_(2)-equivalent fluxes were 396.61 g/(m^(2)·a),1423.29 g/(m^(2)·a)and 1420.21 g/(m^(2)·a)at Sites SLR 80 cm,SLR 40 cm and SLR 0 cm,respectively.From Site SLR 0 cm to Site SLR 80 cm,contribution rate of N_(2)O and CH_(4) increased by approximately 7.42%and 3.02%,while contribution rate of CO_(2) decreased by approximately 10.44%.The results indicated that warming potential of trace CH_(4) and N_(2)O was non-negligible with SLR.Potential effects of SLR on the mangrove blue carbon capability should warrant attention due to changes of all three greenhouse gas fluxes with SLR. 展开更多
关键词 carbon dioxide METHANE nitrous oxide CO_(2)-equivalent fluxes sea level rise mangrove forest
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THE UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS WITH PARAMETERS SYMMETRY 被引量:4
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作者 高守平 李养成 《Acta Mathematica Scientia》 SCIE CSCD 2004年第4期623-632,共10页
In this paper versal unfolding theorem of multiparameter equivariant bifurcation problem with parameter symmetry is given. The necessary and sufficient condition that unfolding of multiparameter equivariant bifurcatio... In this paper versal unfolding theorem of multiparameter equivariant bifurcation problem with parameter symmetry is given. The necessary and sufficient condition that unfolding of multiparameter equivariant bifurcation problem with parameter symmetry factors through another is given. The corresponding results in [1]-[6] are generalized. 展开更多
关键词 Equivariant bifurcation problem K(Γ Δ A)-equivalence
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电化学监测酸碱滴定法测定(R—H)^(+·)键的异裂自由能
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作者 曾青 何家骐 程津培 《高等学校化学学报》 SCIE EI CAS CSCD 北大核心 2002年第7期1285-1290,共6页
建立一种电化学监测酸碱滴定 (EABT)方法 ,利用循环伏安 (CV)技术直接观测正离子基 (RH+· )酸解过程中各物种浓度的变化 ,从而得到酸性离解常数 (p KRH+· )和键异裂自由能 (ΔGhet) .所测吩噻嗪系列在二甲基亚砜和乙腈中的 p ... 建立一种电化学监测酸碱滴定 (EABT)方法 ,利用循环伏安 (CV)技术直接观测正离子基 (RH+· )酸解过程中各物种浓度的变化 ,从而得到酸性离解常数 (p KRH+· )和键异裂自由能 (ΔGhet) .所测吩噻嗪系列在二甲基亚砜和乙腈中的 p KRH+· 与文献中用间接法得到的 p KRH+· 值相当吻合 ,证实了本方法的可信度 .由于不需要间接方法所必需的中性母体分子的 p Ka 和负离子氧化电位 ,故该方法可适用于难于测定的大量有机体系 p KRH+· 展开更多
关键词 电化学监测 酸碱滴定法 测定 (R-H)^+·键 异裂自由能 RH^+· 酸性离解常数 正离子基 循环伏安 有机反应
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(r, s)-STABILITY OF UNFOLDING OF г-EQUIVARIANT BIFURCATION PROBLEM 被引量:1
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作者 刘恒兴 张敦穆 《Acta Mathematica Scientia》 SCIE CSCD 2005年第3期408-418,共11页
In this paper,the (?)-equivariant (s, t)-equivalence relation and (?)-equivariant infinitesimally (r, s)-stability of (?)-equivariant bifurcation problem are defined. The criterion for (?)-equivariant infinitesimally ... In this paper,the (?)-equivariant (s, t)-equivalence relation and (?)-equivariant infinitesimally (r, s)-stability of (?)-equivariant bifurcation problem are defined. The criterion for (?)-equivariant infinitesimally (r, s)-stability is proven when (?) is a compact finite Lie group .Transversality condition is used to characterize the stability. 展开更多
关键词 г-equivariant bifurcation problem UNFOLDING TRANSVERSALITY г-equivariant infinitesimally (r s)-stability г-equivariant (r s)-equivalence.
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Classification of Simple Higher-Order Symmetry-Breaking Bifurcations and Their Computation
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作者 叶瑞松 杨忠华 《Advances in Manufacturing》 SCIE CAS 1997年第3期175-183,共9页
This paper deals with the classification of the simple higher-order symmetry-breaking bifurcation in multiparameter nonlinear problems with Z2-symmetry. The regular extended systems for computing the simple higher-ord... This paper deals with the classification of the simple higher-order symmetry-breaking bifurcation in multiparameter nonlinear problems with Z2-symmetry. The regular extended systems for computing the simple higher-order symmetry-breaking bifurcation points with different singularities are proposed. An etficient algorithm for solving the extended systems is given. Finally, some numerical examples are shown to demonstrate the efficiency of the algorithm. 展开更多
关键词 Z_2-symmetry strongly Z_2-equivalent SYMMETRY-BREAKING BIFURCATION extended system
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Radon-Nikodym property of conjugate Banach spaces and w*-equivalence theorems of w*-u-measurable functions 被引量:11
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作者 郭铁信 《Science China Mathematics》 SCIE 1996年第10期1034-1041,共8页
A deep representation theorem of random conjugate spaces and its several important applications are given. As an application of the representation theorem, the following basic theorem is also proved: let B* be the con... A deep representation theorem of random conjugate spaces and its several important applications are given. As an application of the representation theorem, the following basic theorem is also proved: let B* be the conjugate space of a Banach space B, be a given probability space. Then every B*-valued w*-u-measurable function defined on is w*-equivalent to a B*-valued u-measurable function defined on if and only if B* has the Radon-Nikodym property with respect 展开更多
关键词 the Radon-Nikodym property MARTINGALES u-measurable functions w*-equivalence THEOREMS random CONJUGATE spaces.
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The Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables in the Presence of Parameter Symmetry 被引量:6
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作者 Deng Lan CUI Yang Cheng LI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第5期1433-1440,共8页
The unfolding of equivariant bifurcation problems with two types of state variables under the action of group K(Г, △) is discussed by using DA-algebraic tools. One of the main results is the equivariant versal un... The unfolding of equivariant bifurcation problems with two types of state variables under the action of group K(Г, △) is discussed by using DA-algebraic tools. One of the main results is the equivariant versal unfolding theorem. 展开更多
关键词 equivariant bifurcation problems versal unfolding K(Г △)-equivalence
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Rh(Ⅲ)-catalyzed C8 arylation of quinoline N-oxides with arylboronic acids
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作者 Yuanqiong Huang Xueli Lv +2 位作者 Hongjian Song Yuxiu Liu Qingmin Wang 《Chinese Chemical Letters》 SCIE CAS CSCD 2020年第6期1572-1575,共4页
Herein,we report the first Rh~Ⅲ-catalyzed regioselective C8 arylation of quinoline N-oxides with commercially available arylboronic acids as coupling partners.This procedure is simple,and the reaction shows perfect r... Herein,we report the first Rh~Ⅲ-catalyzed regioselective C8 arylation of quinoline N-oxides with commercially available arylboronic acids as coupling partners.This procedure is simple,and the reaction shows perfect regioselectivity,a broad substrate scope,and isolated yields of up to 92%.We demonstrate the utility of the reaction by using it for late-stage functionalization of a fungicide. 展开更多
关键词 Rh^Ⅲ-catalyzed C8 arylation Quinoline N-oxides Arylboronic acids Regioselectivity
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