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关于局部凸空间的性质(WM)与性质(WM)^* 被引量:6
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作者 陈利国 罗成 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第5期499-502,共4页
X是一个实线性空间,P是X上的一可分离的半范数族,(X,TP)表示由P生成的局部凸空间,(X,P)为一个偶对.引入偶对(X,P)具有性质(WM)和性质(WM)*等概念.给出四个凸性(光滑性)等价性定理,证明了性质(WM)和性质(WM)*具有对偶关系,从而推广了Ban... X是一个实线性空间,P是X上的一可分离的半范数族,(X,TP)表示由P生成的局部凸空间,(X,P)为一个偶对.引入偶对(X,P)具有性质(WM)和性质(WM)*等概念.给出四个凸性(光滑性)等价性定理,证明了性质(WM)和性质(WM)*具有对偶关系,从而推广了Banach空间相应概念和结果. 展开更多
关键词 性质(wm) ^性质(wm)^* 凸性 光滑性
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Tribological Properties of DLC Film Prepared by C^+ Ion Beam-assisted Deposition (IBAD) 被引量:1
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作者 白秀琴 Peter Bhm 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2006年第1期49-52,共4页
C ^+ ion beam-assisted deposition was utilized to prepare deposit diamond-like carbon ( DLC ) film. With the help of a series of experiments such as Raman spectroscopy, FT-IR spectroscopy, AFM and nanoindentation ,... C ^+ ion beam-assisted deposition was utilized to prepare deposit diamond-like carbon ( DLC ) film. With the help of a series of experiments such as Raman spectroscopy, FT-IR spectroscopy, AFM and nanoindentation , the DLC film has been recognized as hydrogenated DLC film and its tribologicul properties have been evaluated. The bull-on-disc testing results show that the hardness and the tribologicul properties of the DLC film produced by C^ + ion beam- assisted deposition are improved significantly. DLC film produced by C ^+ ion beam- assisted deposition is positive to have a prosperous tribologicul application in the near future. 展开更多
关键词 DLC film C ^^+ ion beam- assisted deposition (IBAD) tribological properties
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Probing the effects of lithium doping on structures, properties, and stabilities of magnesium cluster anions
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作者 张小义 赵亚儒 +4 位作者 李红星 成凯格 刘子锐 刘芷萍 何航 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第6期395-403,共9页
Bimetallic clusters have aroused tremendous interest because the property changes like structure,size,and composition have occurred.Herein,a structural search of the global minimum for anionic LiMg_(n)^(-)(n=2-11) clu... Bimetallic clusters have aroused tremendous interest because the property changes like structure,size,and composition have occurred.Herein,a structural search of the global minimum for anionic LiMg_(n)^(-)(n=2-11) clusters is performed using an efficient crystal structure analysis by particle swarm optimization(CALYPSO) structural searching program with subsequent density functional theory(DFT) calculations.A great variety of low energetic isomers are converged,and the most stable ones are confirmed by comparing their total energy of each size.It is found that the LiMg_(n)^(-)clusters are structurally consistent with corresponding Mg clusters anions except for LiMg_(5)^(-)and LiMg_(7)^(-).In all the doped clusters,the Li atom prefers to occupy the convex position.Simulated photoelectron spectra(PES),Infrared(IR),and Raman spectra of LiMg_(n)^(-)could be used as an essential evidence for identifying cluster structures experimentally in the future.Stability study reveals that a tower-like structure of LiMg_(9)^(-)has prominent stability and can be identified as a magic number cluster.The reason might be that there are both closed-shell 1S^(2)1P^(6)1D^(10)2S^(2) electronic configurations and stronger Li-Mg bonds caused by sp hybridization in the LiMg_(9)^(-)cluster. 展开更多
关键词 ^LiMg_(n)^(-)clusters crystal structure analysis by particle swarm optimization(CALYPSO) STRUCTURES electronic properties
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Orlicz序列空间的WM点
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作者 计东海 王廷辅 郝翠霞 《哈尔滨科学技术大学学报》 1995年第2期90-96,共7页
引进了WM点概念,并给出赋Luxemburg范数Orlica序列空间WM点的判别准则,由此得到了空间具有WM性质的判据。
关键词 wm性质 wm 巴拿赫空间 奥尔里契空间
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Thermodynamic modeling and phase diagram prediction of salt lake brine systemsⅡ.Aqueous Li^(+)-Na^(+)-K^(+)-SO_(4)^(2-) and its subsystems 被引量:6
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作者 Huan Zhou Peng Wu +3 位作者 Wenxuan Li Xingfan Wang Kuo Zhou Qing Hao 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2021年第6期134-149,共16页
It is still a challenging task to accurately and temperature-continuously express the thermodynamic properties and phase equilibrium behaviors of the salt-lake brine with multi-component,multitemperature and high conc... It is still a challenging task to accurately and temperature-continuously express the thermodynamic properties and phase equilibrium behaviors of the salt-lake brine with multi-component,multitemperature and high concentration.The essential subsystem of sulfate type brine,aqueous Li^(+)-Na^(+)-K^(+)-SO_(4)^(2-) and its subsystems across a temperature range from 250 K to 643 K are investigated with the improved comprehensive thermodynamic model.Liquid parameters(Δg_(IJ),Δh_(IJ),and ΔC_(p,IJ))associated with the contributions of Gibbs energy,enthalpy,and heat capacity to the binary interaction parameters,i.e.the temperature coefficients of eNRTL parameters formulated with a Gibbs Helmholtz expression,are determined via multi-objective optimization method.The solid constantsΔ_(f)G_(k)°^((298.15))andΔ_(f)H_(k)°^((298.15))of11 solid species occurred in the quaternary system are rebuilt from multi-temperature solubilities.The modeling results show the accurate representation of(1)solution properties and binary phase diagram at temperature ranges from eutectic points to 643 K;(2)isothermal phase diagrams for Li_(2)SO_(4)-Na_(2)SO_(4)-H_(2)O,Li_(2)SO_(4)-K_(2)SO_(4)-H_(2)O and Na_(2)SO_(4)-K_(2)SO_(4)-H_(2)O ternary systems.The predicted results of complete structure and polythermal phase diagram of ternary systems and the isothermal phase diagrams of quaternary system excellently match with the experimental data. 展开更多
关键词 Aqueous electrolytes Comprehensive thermodynamic model Aqueous ^Li^(+)-Na^(+)-K^(+)-SO_(4)^(2-) Phase diagram Thermodynamic properties
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L^P(μ,X)空间中的凸性
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作者 何宗祥 《安徽师大学报》 1992年第4期17-20,共4页
本文证明了:当Banach空间X具有M性质(或WM性质)时,L^P(μ,X)也具有M性质(或WM性质)。(1<P<+∞)
关键词 巴拿赫 空间 凸性 wm性质
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CL-KR与K-WM性质
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作者 何宗祥 何苏阳 《安徽师大学报》 1995年第1期24-27,共4页
本文首先引入了Banach空间X的K-WM性质,它是B.B.Panda和O.P.Kapoor在[1]中引入的WM性质的推广。然后证明了:若X是CL-KR的,则S有(S)性质;若X有K-WM性质,X有(S)性质,则X是... 本文首先引入了Banach空间X的K-WM性质,它是B.B.Panda和O.P.Kapoor在[1]中引入的WM性质的推广。然后证明了:若X是CL-KR的,则S有(S)性质;若X有K-WM性质,X有(S)性质,则X是CL-KR的;若X是CL-KR的,M是X的自反子空间,则X/M是CL-KR的;若X有K-WM性质,M是x的自反子空间,则X/M有K-WM性质。此外,本文还指出:(S)性质和CL-KR不具有对偶性质。 展开更多
关键词 CL-KR (S)性质 K-wm性质 巴拿赫空间
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Banach空间凸性光滑性的进一步探讨(Ⅰ)──各类光滑空间的等价性 被引量:6
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作者 郝飞 刘德 罗成 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第1期7-11,共5页
引入和中点局部一致凸 (弱中点局部一致凸 )空间对偶的中点局部一致光滑 (弱中点局部一致光滑 )空间 ,讨论了它们的性质及其和已知光滑空间的联系 。
关键词 光滑空间 BANACH空间 凸性 光滑性 中点局部一致凸空间 中点局部一致光滑空间
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K-弱凸性与K-弱光滑性 被引量:6
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作者 黎永锦 舒小保 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第5期8-10,共3页
提出了K_弱凸性与K_弱光滑性 ,作为K_强凸性与K_强光滑性的推广 ,然后证明了K_弱凸性与K_弱光滑性是对偶性质 ;Banach空间X是非常凸的当且仅当X是严格凸的且K_弱凸的 ;Banach空间X是局部一致凸的当且仅当X是K_强凸的和严格凸的且具有 (... 提出了K_弱凸性与K_弱光滑性 ,作为K_强凸性与K_强光滑性的推广 ,然后证明了K_弱凸性与K_弱光滑性是对偶性质 ;Banach空间X是非常凸的当且仅当X是严格凸的且K_弱凸的 ;Banach空间X是局部一致凸的当且仅当X是K_强凸的和严格凸的且具有 (WM)性质。 展开更多
关键词 K-弱凸性 K-弱光滑性 K-弱暴露点 (wm)性质 BANACH空间 对偶性质 局部一致凸
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几种类型的凸性空间与逼近紧及度量投影的关系
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作者 曾朝英 苏雅拉图 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第1期28-33,共6页
给出(L-wM)性质及X中非空子集序列{An}在av-strong Wijsman意义下收敛到X中非空子集A的概念,本质地揭示了三类凸性空间L-kR(CL-kR:wCL-kR)与逼近紧的关系,并且得到了L-kR(CL-kR:wCL-kR)空间的度量投影集序列PAn(xn)中点列{yn}∈PAn(xn),... 给出(L-wM)性质及X中非空子集序列{An}在av-strong Wijsman意义下收敛到X中非空子集A的概念,本质地揭示了三类凸性空间L-kR(CL-kR:wCL-kR)与逼近紧的关系,并且得到了L-kR(CL-kR:wCL-kR)空间的度量投影集序列PAn(xn)中点列{yn}∈PAn(xn),n≥1的某些收敛性结果. 展开更多
关键词 L—kR(CL—kR wCL—kR)空间 (L—wm)性质 av—strong Wijsman意义收敛 逼近紧
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Banach空间若干凸性的一种等价刻画
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作者 罗李平 《西南民族大学学报(自然科学版)》 CAS 2007年第2期222-224,共3页
用统一且简洁形式处理Banach空间的一致凸、局一致凸、弱一致凸、弱局一致凸、严格凸及(M)性质和(WM)性质,给出了它们的一种等价刻画.
关键词 BANACH空间 一致凸 局一致凸 弱一致凸 弱局一致凸 严格凸 (M)性质 (wm)性质
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局部一致光滑空间与局部完全k光滑空间
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作者 乌日娜 苏雅拉图 《内蒙古师范大学学报(自然科学汉文版)》 CAS 北大核心 2013年第3期251-253,258,共4页
讨论了局部一致光滑、局部完全k光滑、局部k一致光滑、一致极光滑与(WM)*性质的关系.利用Banach空间理论的方法,得到了自反局部一致光滑空间的一个充分必要条件.在自反空间假设下,得到了局部一致光滑空间的另一个充分必要条件.
关键词 局部一致光滑 局部完全k光滑 局部k一致光滑 一致极光滑 ^(wm)^*性质
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Mechanical properties and microstructure of in situ formed Ti_(2)AlN/TiAl(WMS)composites 被引量:1
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作者 Wan-Liang Liang Rui Hu +2 位作者 Yi-Wen Liu Tie-Bang Zhang Jin-Shan Li 《Rare Metals》 SCIE EI CAS CSCD 2021年第1期190-194,共5页
The Ti_(2)AlN-reinforced TiAl(WMS)composites with different contents of Ti_(2)AlN were prepared by an in situ method of reactive arc-melting technique.According to the results of X-ray diffraction(XRD)analysis,the Ti_... The Ti_(2)AlN-reinforced TiAl(WMS)composites with different contents of Ti_(2)AlN were prepared by an in situ method of reactive arc-melting technique.According to the results of X-ray diffraction(XRD)analysis,the Ti_(2)AlNreinforced WMS composites consist ofγ-TiAl,α_(2)-Ti_(3)Al,and Ti_(2)AlN phases.Microstructure analysis results indicate that Ti_(2)AlN reinforcements with rod-like in shape form in the WMS matrix with aα_(2)/γlamellar structure containing some bulk y phases.With volume fraction of Ti_(2)AlN increasing,the grain size of the composites decreases significantly and the elasticity modulus(E)increases.The compressive strength and compressive fracture strain of the composite with 3 vol%Ti_(2)AlN have a maximum value of 1,654 MPa and 22.5%,respectively,which are approximately improved by 45.84%and 29.31%,respectively,compared with that of the unreinforced WMS alloy. 展开更多
关键词 Ti_(2)AlN/TiAl(wmS)composites Reactive arc-melting MICROSTRUCTURE Compressive properties
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Banach空间凸性的一种等价条件
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作者 罗芳 何仁义 《雁北师范学院学报》 2005年第2期3-5,共3页
本文给出Banach空间七类凸性的一种等价条件.
关键词 K-致凸 局部K-致凸 K严格凸 弱-致凸 局部弱-致凸 (M)性质 (wm)性质
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Electrical properties of BaFe_(0.9)Sn_(0.1)O_(3)–BaCo_(0.02)^(Ⅱ)Co_(0.04)^(Ⅲ)Bi_(0.94)O_(3)composite thick-film thermistors
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作者 Chang-Lai Yuan Ying Luo +3 位作者 Qin Feng Yun Yang Xiu-Juan Zhou Xin-Yu Liu 《Rare Metals》 SCIE EI CAS CSCD 2020年第11期1321-1327,共7页
The BaFe_(0.9)Sn_(0.1)O_(3)-BaCo_(0.02)^(Ⅱ)Co_(0.04)^(Ⅲ)Bi_(0.94)O_(3)composite thick films were prepared by screen printing.X-ray diffraction(XRD)analysis confirms that the composite films are still composed of BaF... The BaFe_(0.9)Sn_(0.1)O_(3)-BaCo_(0.02)^(Ⅱ)Co_(0.04)^(Ⅲ)Bi_(0.94)O_(3)composite thick films were prepared by screen printing.X-ray diffraction(XRD)analysis confirms that the composite films are still composed of BaFe_(0.9)Sn_(0.1)O_(3)-BaCo_(0.02)^(Ⅱ)Co_(0.04)^(Ⅲ)Bi_(0.94)O_(3)phases.For the prepared BaFe_(0.9)Sn_(0.1)O_(3)-BaCo_(0.02)^(Ⅱ)Co_(0.04)^(Ⅲ)Bi_(0.94)O_(3)composite thick films,a linear relationship between the logarithmic resistivity and the reciprocal of the absolute temperature is observed,indicating an excellent NTC thermistor characteristic.The values of resistivity at 25℃,thermistor constant and activation energy,decreasing with BaCo_(0.02)^(Ⅱ)Co_(0.04)^(Ⅲ)Bi_(0.94)O_(3)content increasing,are in the range of 8.9-92,990Ω·cm,1,126-3,777 K and 0.097-0.325 eV,respectively.Impedance analysis shows that at higher BaCo_(0.02)^(Ⅱ)Co_(0.04)^(Ⅲ)Bi_(0.94)O_(3)content,the electrical properties of the composite films are mainly attributed to the contribution of grains and grain boundaries.With the gradual decrease of BaCo_(0.02)^(Ⅱ)Co_(0.04)^(Ⅲ)Bi_(0.94)O_(3)content,the grain boundaries affect strongly the electrical properties of the composite films. 展开更多
关键词 Thick films ^BaCo_(0.02)^(Ⅱ)Co_(0.04)^(Ⅲ)Bi_(0.94)O_(3) BaFe_(0.9)Sn_(0.1)O_(3) Electrical properties
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Microphase structures and ^(13)C NMR relaxation parameters in ultrahigh molecular weight polyethylene
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作者 朱清仁 洪昆仑 +4 位作者 鲁非 戚嵘嵘 庞文民 周贵恩 宋名实 《Science China Chemistry》 SCIE EI CAS 1995年第11期1288-1297,共10页
The phase transformations in ultrahigh molecular weight polyethylene(UHMWPE)gel-films upon superdrawing have been studied by X-ray diffraction and high resolution solid state ^(13)C NMR.The morphological change and mo... The phase transformations in ultrahigh molecular weight polyethylene(UHMWPE)gel-films upon superdrawing have been studied by X-ray diffraction and high resolution solid state ^(13)C NMR.The morphological change and molecular motions in the crystalline phase,amorphous phase and interphase are dis- cussed according to the ^(13)C nuclear relaxation time(T_(1c),T_(2c)results.A brief interpretation to the three or four T_(1c)values in the crystalline phase is presented.It is found that the component with the highest T_(1c) (T_(1c)~α)plays a key role in the forming of 'Shish-Kebab' microfibril which determines the sample strength and modulus,namely,the greater the T_(1c)~α,the higher the modulus and strength of the drawn UHMWPE gel-film.These results support the 'Shish-Kebabs' model in crystalline polymers. 展开更多
关键词 POLYETHYLENE ^^(13)C nuclear relaxation time mechanical properties phase transformation
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