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一类解析函数的系数泛函 被引量:16
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作者 李宗涛 刘名生 《华南师范大学学报(自然科学版)》 CAS 2005年第3期86-91,共6页
研究了解析函数类B(λ,α,β),用分类的方法讨论了它的系数泛函J(f)=|a3-μa22|和系数估计,其中μ为实数,得到了它们的准确上界.
关键词 近凸函数 BAZILEVIC函数 系数泛函
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一类解析函数的系数泛函
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作者 傅秀莲 《广东技术师范学院学报》 2014年第7期1-4,9,共5页
本文引入了一个新的函数类kSPB(λ,α),利用复分析中的一些方法,讨论了这个函数类的Fekete-Szeg不等式,得到了|a3-μa22|准确估计.
关键词 从属 单叶函数 kSPB(λ α)函数 FEKETE-SZEGO不等式 系数泛函
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两参数带跳泛函型随机微分方程强解的存在唯一性
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作者 丁晓东 《工程数学学报》 CSCD 北大核心 1997年第3期57-61,56,共6页
通过推广两参数Belman不等式,在较弱条件下,证明了两参数具有泛函系数的带有Brown单及及广义Poisson单的随机微分方程强解的存在唯一性.
关键词 随机微分方程 强解 存在性 唯一性 泛函系数
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Banach空间中基的稳定性问题 被引量:1
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作者 董立华 《德州学院学报》 2002年第2期3-6,共4页
介绍了Banach空间中基序列 {xn}的稳定性问题 。
关键词 双正交 系数泛函 稳定性
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关于Fekete-Szeg问题
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作者 杨建芳 《杭州电子科技大学学报(自然科学版)》 2008年第2期93-95,共3页
引入一个新的解析函数类,运用复分析中的一些初等的方法讨论它的Fekete-Szeg问题,得到了准确的结果,即给出了系数泛函在给定条件下的取值范围,从而推广了一些作者的相关结果。
关键词 单叶函数 解析函数 系数泛函
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一类正则函数的性质
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作者 高建福 《大学数学》 2004年第5期50-54,共5页
设函数 f( z) =z+a2 z2 +…在单位圆盘 D={z |z|<1 }中正则 ,我们记这种函数的全体为 N,设β>0 ,令Sβ=f ( z) f ( z)∈ N且 (β-1 ) zf′( z)f ( z) -1 +1 +zf″( z)f ( z) 1 +4 z+z21 -z2 .本文给出了 Sβ
关键词 正则函数 从属链 系数泛函
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中国存在消费的“库兹涅茨之谜”吗?——来自城乡面板数据的经验支持 被引量:15
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作者 苏良军 何一峰 《经济科学》 CSSCI 北大核心 2006年第2期91-98,共8页
本文采用泛函系数模型分析了中国城乡消费函数,是国内外采用该模型研究消费函数的第一次尝试。泛函系数模型允许边际消费倾向和自发性消费同时随着时间的变化而发生变化,因此得到的结果具有更大的代表性和可信性。我们的研究表明,从全... 本文采用泛函系数模型分析了中国城乡消费函数,是国内外采用该模型研究消费函数的第一次尝试。泛函系数模型允许边际消费倾向和自发性消费同时随着时间的变化而发生变化,因此得到的结果具有更大的代表性和可信性。我们的研究表明,从全国范围来看,不存在消费的“库兹涅茨之谜”;但在分东、中、西部的估计中,我们发现西部农村存在显著的“库兹涅茨之谜”,而在其他地区,我们无法拒绝凯恩斯关于边际消费倾向随着收入的增加而递减的结论。 展开更多
关键词 边际消费倾向 库兹涅茨之谜 泛函系数模型 中国 分配制度 消费需求
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Microstructure and properties of high silicon aluminum alloy with 2% Fe prepared by rheo-casting 被引量:6
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作者 钟鼓 吴树森 +2 位作者 安萍 毛有武 李世钊 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2010年第9期1603-1607,共5页
The morphology changes of both Fe-containing intermetallic compounds and the primary Si phase of Al-20Si-2Fe- 2Cu-0.4Mg-1.0Ni-0.5Mn (mass fraction, %) alloy produced by semi-solid rheo-diecasting were studied. The s... The morphology changes of both Fe-containing intermetallic compounds and the primary Si phase of Al-20Si-2Fe- 2Cu-0.4Mg-1.0Ni-0.5Mn (mass fraction, %) alloy produced by semi-solid rheo-diecasting were studied. The semi-solid slurry of high silicon aluminum alloy was prepared by direct ultrasonic vibration (DUV) which was imposed on the alloy near the liquidus temperature for about 2 rain. Then, standard test samples of 6.4 mm in diameter were formed by semi-solid rheo-diecasting. The results show that the DUV treatment suppresses the formation of needle-like ,β-Al5(Fe,Mn)Si phase, and the Fe-containing intermetallic compounds exist in the form of fine Al4(Fe, Mn)Si2 particles. Additionally, the primary Si grows up as fine and round particles with uniform distribution in α(Al) matrix of this alloy under DUV treatment. The tensile strengths of the samples at the room temperature and 573 K are 230 MPa and 145 MPa, respectively. The coefficient of thermal expansion (CTE) between 25 ℃ and 300 ℃ is 16.052 8×10^-6 ℃^-1, and the wear rate is 1.55%. The hardness of this alloy with 2% Fe reaches HB146.3. It is discovered that modified morphology and uniform distribution of the Fe-containing intermetallic compounds and the primary Si phase are the main reasons for reducing the CTE and increasing the wear resistance of this alloy. 展开更多
关键词 high silicon aluminum alloy ultrasonic vibration rheo-casting rnicrostructure mechanical properties
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Decomposition in blocks at the level of wavelet coefficients and T(1 ) theorem on Hardy space
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作者 杨奇祥 《Journal of Zhejiang University Science》 CSCD 2002年第1期94-99,共6页
This paper deals with the establishment of \%T(1)\% theorem on Hardy space \%H 1\% under condition of weak regularity. An operator or a function is identified on the basis of their wavelet coefficients which are regr... This paper deals with the establishment of \%T(1)\% theorem on Hardy space \%H 1\% under condition of weak regularity. An operator or a function is identified on the basis of their wavelet coefficients which are regrouped on some blocks. The actions of each block operator (pseudo\|annular operator) on each block function (atom) are exactly analyzed to establish \%T(1)\% theorem on Hardy space. 展开更多
关键词 hardy space wavelet coefficients BLOCKS
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First principles study on electronic structure and optical properties of novel Na-hP4 high pressure phase 被引量:1
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作者 施毅敏 叶绍龙 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2010年第6期1092-1096,共5页
The electronic structure and optical properties of novel Na-hP4 high pressure phase at different pressures(260,320,400 and 600 GPa)were investigated by the density functional theory(DFT)with the generalized gradient a... The electronic structure and optical properties of novel Na-hP4 high pressure phase at different pressures(260,320,400 and 600 GPa)were investigated by the density functional theory(DFT)with the generalized gradient approximation(GGA)for the exchange and correlation energy.The band structure along the higher symmetry axes in the Brillouin zone,the density of states(DOS) and the partial density of states(PDOS)were presented.The band gap increases and the energy band expands to some extent with the pressure increasing.The dielectric function,reflectivity,energy-loss function,optical absorption coefficient,optical conductivity, refractive index and extinction coefficient were calculated for discussing the optical properties of Na-hP4 high pressure phase at different pressures. 展开更多
关键词 first principles novel Na-hP4 phase high pressure phase density functional theory electronic structure optical properties
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First-principles study of the anisotropic thermal expansion and thermal transport properties in h-BN 被引量:2
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作者 Bo Niu Lixiang Zhong +7 位作者 Wei Hao Zhihua Yang Xiaoming Duan Delong Cai Peigang He Dechang Jia Shuzhou Li Yu Zhou 《Science China Materials》 SCIE EI CAS CSCD 2021年第4期953-963,共11页
The thermal expansion coefficient(TEC)and thermal conductivity(k)of thermal fillers are key factors for designing thermal management and thermal protection composite materials.Due to its unique advantages,hexagonal bo... The thermal expansion coefficient(TEC)and thermal conductivity(k)of thermal fillers are key factors for designing thermal management and thermal protection composite materials.Due to its unique advantages,hexagonal boron nitride(h-BN)is one of the most commonly used thermal fillers.However,its TEC and k values are still unclear due to the inconsistency of characterization techniques and sample preparations.In this work,these disputes were addressed using the quasi-harmonic approximation(QHA)method and phonon Boltzmann transport equation(BTE)theory based on the density functional theory(DFT),respectively.The accuracy of our calculated TEC and k values was confirmed by previously reported experimental results,and the underlying physical principles were analyzed from the phonon behaviors.Our TEC results show that the h-BN has small in-plane negative value and large cross-plane positive value,which are-2.4×10^(-6) and 36.4×10^(-6) K^(-1) at 300 K,respectively.And the anisotropic TEC is mainly determined by the anisotropic isothermal bulk modulus and the low-frequency out-of-plane longitudinal phonon modes.We found that the convergence of cutoff radius and q-grid size have significant effect on the accuracy of k of h-BN.Our results show that the in-plane k is much higher than the cross-plane k,and the values at 300 K are 286.6 and 2.7 W m^(-1) K^(-1),respectively.The anisotropic phonon group velocity arising from the vibration behaviors of acoustic phonon modes should be primarily responsible for the anisotropic k.Our calculated TEC and k values will provide important references for the design of h-BN composite materials. 展开更多
关键词 H-BN thermal expansion coefficient thermal conductivity phonon behaviors density functional theory
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