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INEQUALITIES FOR THE CUBIC PARTITIONS AND CUBIC PARTITION PAIRS
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作者 Chong LI Yi PENG Helen W.J.ZHANG 《Acta Mathematica Scientia》 2025年第2期737-754,共18页
In this paper,we examine the functions a(n)and b(n),which respectively represent the number of cubic partitions and cubic partition pairs.Our work leads to the derivation of asymptotic formulas for both a(n)and b(n).A... In this paper,we examine the functions a(n)and b(n),which respectively represent the number of cubic partitions and cubic partition pairs.Our work leads to the derivation of asymptotic formulas for both a(n)and b(n).Additionally,we establish the upper and lower bounds of these functions,factoring in the explicit error terms involved.Crucially,our findings reveal that a(n)and b(n)both satisfy several inequalities such as log-concavity,third-order Turan inequalities,and strict log-subadditivity. 展开更多
关键词 asymptotic formula LOG-CONCAVITY third-order Turan inequalities cubic partition cubic partition pair
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Dynamic partition of urban network considering congestion evolution based on random walk
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作者 Zhen-Tong Feng Lele Zhang +1 位作者 Yong-Hong Wu Mao-Bin Hu 《Chinese Physics B》 2025年第1期530-534,共5页
The successful application of perimeter control of urban traffic system strongly depends on the macroscopic fundamental diagram of the targeted region.Despite intensive studies on the partitioning of urban road networ... The successful application of perimeter control of urban traffic system strongly depends on the macroscopic fundamental diagram of the targeted region.Despite intensive studies on the partitioning of urban road networks,the dynamic partitioning of urban regions reflecting the propagation of congestion remains an open question.This paper proposes to partition the network into homogeneous sub-regions based on random walk algorithm.Starting from selected random walkers,the road network is partitioned from the early morning when congestion emerges.A modified Akaike information criterion is defined to find the optimal number of partitions.Region boundary adjustment algorithms are adopted to optimize the partitioning results to further ensure the correlation of partitions.The traffic data of Melbourne city are used to verify the effectiveness of the proposed partitioning method. 展开更多
关键词 urban road networks dynamic partitioning random walk Akaike information criterion perimeter control
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用PartitionMagic实现多操作系统的同机安装 被引量:2
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作者 任斌 《现代电子技术》 2004年第10期71-72,共2页
为使高校公共机房满足不同层次学生的需要 ,缓解上机压力 ,本文采用在单机上划分多主磁盘分区来安装多操作系统的方法予以解决。简要介绍了如何使用工具软件 Power Q uest Partition Magic来实现多操作系统的同机安装。
关键词 公共机房 分区 主磁盘分区 文件系统 多操作系统
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PARTITION OF UNITY FINITE ELEMENT METHOD FOR SHORT WAVE PROPAGATION IN SOLIDS 被引量:2
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作者 李锡夔 周浩洋 《应用数学和力学》 EI CSCD 北大核心 2005年第8期965-971,共7页
A partition of unity finite element method for numerical simulation of short wave propagation in solids is presented. The finite element spaces were constructed by multiplying the standard isoparametric finite element... A partition of unity finite element method for numerical simulation of short wave propagation in solids is presented. The finite element spaces were constructed by multiplying the standard isoparametric finite element shape functions, which form a partition of unity, with the local subspaces defined on the corresponding shape functions, which include a priori knowledge about the wave motion equation in trial spaces and approximately reproduce the highly oscillatory properties within a single element. Numerical examples demonstrate the performance of the proposed partition of unity finite element in both computational accuracy and efficiency. 展开更多
关键词 短波传播 固体介质 单位分解有限元法
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Partitioning characteristics of gas channel of coal-rock mass in mining space and gas orientation method 被引量:8
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作者 Zhao Zhiqiang Ma Nianjie +1 位作者 Jia Housheng Cheng Yuanping 《International Journal of Mining Science and Technology》 SCIE EI 2013年第6期873-877,共5页
In order to research the influence of coal-rock mass morphology of mining space on the flow law of gas,the laboratory physical model and numerical computation methods were adopted to simulate coal mining activities.Th... In order to research the influence of coal-rock mass morphology of mining space on the flow law of gas,the laboratory physical model and numerical computation methods were adopted to simulate coal mining activities.The simulation results indicate that,after coal seam mining,the loose rock accumulation body of free caving,ordered rock arrangement body of plate damage rich in longitudinal and transverse fractures and horizontal fissure body formed by rock mass deformation imbalance are formed from bottom to top in the mining space.For these three types of accumulation bodies,there are essential differences in the accumulation state,rock size and gas breakover characteristics.According to this,the coal-rock mass in the mining space is classified into gas turbulence channel area,gas transitional flow channel area and gas seepage channel area.In the turbulence channel area,the gas is distributed transversely and longitudinally and gas diffuses in the form of convection with Reynolds number R_e more than100;in the transitional flow channel area,one-way or two-way gas channels are crisscross and gas is of transitional flow regime with R,.between 10 and 100.In the seepage channel area,there are a few vertical gas channels with R,.less than 10.In this paper,the researches on the gas orientation method in different partitions were further carried out,gas orientation methods of low-level pipe burying,middle-level interception and high-level extraction were determined and an on-site industrial test was conducted,achieving the effective diversion of gas and verifying the reasonableness of gas channel partition. 展开更多
关键词 Gas channel partitioning characteristics Gas flow regime Gas orientation method
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Domatic Partition问题的DNA计算方法研究
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作者 赵洪超 刘希玉 《微电子学与计算机》 CSCD 北大核心 2012年第10期152-156,共5页
Domatic partition问题是一类经典的NP完全问题,在诸多领域中有着广泛的应用,但是至今仍没有多项式时间内的解决方案.DNA计算是一种并行计算能力极强的计算方式,粘贴模型是DNA计算中一种基于粘贴运算的计算模型,基于该模型提出了一种求... Domatic partition问题是一类经典的NP完全问题,在诸多领域中有着广泛的应用,但是至今仍没有多项式时间内的解决方案.DNA计算是一种并行计算能力极强的计算方式,粘贴模型是DNA计算中一种基于粘贴运算的计算模型,基于该模型提出了一种求解domatic partition问题的DNA算法,该算法在多项式的时间内通过两步筛选过程即可以在初始解空间中找出问题的解.为证明该算法的可行性,用java程序对算法进行了仿真模拟,程序在计算机上运行的结果证明此算法是正确且有效的. 展开更多
关键词 支配集 domatic partition DNA计算 粘贴模型
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An Estimate of the Enumeration Function of Multiplicative Partitions 被引量:1
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作者 曹会中 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第2期46-48,共3页
Let f(n) denote the number of multiplicative partitions of a positive intger. We prove that if n is an odd number,then f(n)≤n/15+7/5.
关键词 multiplicative partitions
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Printable Aligned Single-Walled Carbon Nanotube Film with Outstanding Thermal Conductivity and Electromagnetic Interference Shielding Performance 被引量:11
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作者 Zhihui Zeng Gang Wang +8 位作者 Brendan F.Wolan Na Wu Changxian Wang Shanyu Zhao Shengying Yue Bin Li Weidong He Jiurong Liu Joseph W.Lyding 《Nano-Micro Letters》 SCIE EI CAS CSCD 2022年第11期143-156,共14页
Ultrathin,lightweight,and flexible aligned single-walled carbon nanotube(SWCNT)films are fabricated by a facile,environmentally friendly,and scalable printing methodology.The aligned pattern and outstanding intrinsic ... Ultrathin,lightweight,and flexible aligned single-walled carbon nanotube(SWCNT)films are fabricated by a facile,environmentally friendly,and scalable printing methodology.The aligned pattern and outstanding intrinsic properties render“metal-like”thermal conductivity of the SWCNT films,as well as excellent mechanical strength,flexibility,and hydrophobicity.Further,the aligned cellular microstructure promotes the electromagnetic interference(EMI)shielding ability of the SWCNTs,leading to excellent shielding effectiveness(SE)of~39 to 90 dB despite a density of only~0.6 g cm^(−3) at thicknesses of merely 1.5-24μm,respectively.An ultrahigh thickness-specific SE of 25693 dB mm^(−1) and an unprecedented normalized specific SE of 428222 dB cm^(2)g^(−1) are accomplished by the freestanding SWCNT films,significantly surpassing previously reported shielding materials.In addition to an EMI SE greater than 54 dB in an ultra-broadband frequency range of around 400 GHz,the films demonstrate excellent EMI shielding stability and reliability when subjected to mechanical deformation,chemical(acid/alkali/organic solvent)corrosion,and high-/low-temperature environments.The novel printed SWCNT films offer significant potential for practical applications in the aerospace,defense,precision components,and smart wearable electronics industries. 展开更多
关键词 Aligned film single-walled carbon nanotube LIGHTWEIGHT FLEXIBLE Thermal conductivity Electromagnetic interference shielding
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Enhanced hydrogen evolution reaction over molybdenum carbide nanoparticles confined inside single-walled carbon nanotubes 被引量:7
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作者 Tingting Cui Jinhu Dong +3 位作者 Xiulian Pan Tie Yu Qiang Fu Xinhe Bao 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2019年第1期123-127,共5页
Carbon nanotubes(CNTs) have shown as unique nanoreactors to tune the catalytic activity of confined nano-catalysts. Here we report that the catalytic performance of molybdenum carbide nanoparticles(MoC_x NPs) for the ... Carbon nanotubes(CNTs) have shown as unique nanoreactors to tune the catalytic activity of confined nano-catalysts. Here we report that the catalytic performance of molybdenum carbide nanoparticles(MoC_x NPs) for the hydrogen evolution reaction(HER) process can be enhanced by encapsulation within single-walled carbon nanotubes(SWNTs) with a diameter of 1–2 nm. The catalyst with MoC_x NPs located on the interior surface of SWNTs(MoCx@SWNTs) exhibits a lower onset over-potential and a smaller Tafel slope than the one with MoC_x NPs attached on the exterior surface(MoCx/SWNTs). This is likely attributed to the much smaller particle size and the more reduced states of the confined MoC_x NPs, as well as the larger specific surface area of MoCx@SWNTs compared with Mo Cx/SWNTs. In addition, the electronic structure of the confined MoC_x NPs might be modified by the confinement effects of SWNTs, and hence the adsorption free energy of H atoms on the confined MoC_x NPs, which could also contribute to their higher performance. These results suggest that the SWNTs can be further explored for constructing novel catalysts with beneficial catalytic performance. 展开更多
关键词 single-wallED carbon NANOTUBES CONFINED catalysis Molybdenum CARBIDE NANOPARTICLES Hydrogen evolution reaction
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Semiconducting single-walled carbon nanotubes synthesized by S-doping 被引量:5
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作者 Z.J.Li L.Wang +2 位作者 Y.J.Su P.Liu Y.F.Zhang 《Nano-Micro Letters》 SCIE EI CAS 2009年第1期9-13,共5页
An approach was presented for synthesis of semiconducting single-walled carbon nanotubes(SWNTs) by sulfur(S) doping with the method of graphite arc discharge. Raman spectroscopy, UV-vis-NIR absorption spectroscopy and... An approach was presented for synthesis of semiconducting single-walled carbon nanotubes(SWNTs) by sulfur(S) doping with the method of graphite arc discharge. Raman spectroscopy, UV-vis-NIR absorption spectroscopy and electronic properties measurements indicated the semconducting properties of the SWNTs samples. Simulant calculation indicated that S doping could induce convertion of metallic SWNTs into semiconducting ones. This strategy may pave a way for the direct synthesis of pure semiconducting SWNTs. 展开更多
关键词 S-doping single-wall Carbon nanotubes SEMICONDUCTING Arc discharge
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THE SUPERIORITY OF EMPIRICAL BAYES ESTIMATION OF PARAMETERS IN PARTITIONED NORMAL LINEAR MODEL 被引量:4
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作者 张伟平 韦来生 《Acta Mathematica Scientia》 SCIE CSCD 2008年第4期955-962,共8页
In this article,the empirical Bayes(EB)estimators are constructed for the estimable functions of the parameters in partitioned normal linear model.The superiorities of the EB estimators over ordinary least-squares... In this article,the empirical Bayes(EB)estimators are constructed for the estimable functions of the parameters in partitioned normal linear model.The superiorities of the EB estimators over ordinary least-squares(LS)estimator are investigated under mean square error matrix(MSEM)criterion. 展开更多
关键词 partitioned linear model empirical Bayes estimator least-squares estimator mean square error matrix
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Optimal Static Partition Configuration in ARINC653 System 被引量:4
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作者 Sheng-Lin Gui Lei Luo Sen-Sen Tang Yang Meng 《Journal of Electronic Science and Technology》 CAS 2011年第4期373-378,共6页
ARINC653 systems, which have been widely used in avionics industry, are an important class of safety-critical applications. Partitions are the core concept in the Arinc653 system architecture. Due to the existence of ... ARINC653 systems, which have been widely used in avionics industry, are an important class of safety-critical applications. Partitions are the core concept in the Arinc653 system architecture. Due to the existence of partitions, the system designer must allocate adequate time slots statically to each partition in the design phase. Although some time slot allocation policies could be borrowed from task scheduling policies, no existing literatures give an optimal allocation policy. In this paper, we present a partition configuration policy and prove that this policy is optimal in the sense that if this policy fails to configure adequate time slots to each partition, nor do other policies. Then, by simulation, we show the effects of different partition configuration policies on time slot allocation of partitions and task response time, respectively. 展开更多
关键词 ARINC653 earliest-next release time first policy optimal partition configuration policy real-time systems.
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Strong coupling between height of gaps and thickness of thermal boundary layer in partitioned convection system 被引量:1
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作者 Ze-Peng Lin Yun Bao 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第9期270-275,共6页
A direct numerical simulation(DNS) method is used to calculate the partitioned convection system with Ra number ranging from 10^7 to 2×10^9.Using the boundary layer thickness to normalize the height of gaps d, we... A direct numerical simulation(DNS) method is used to calculate the partitioned convection system with Ra number ranging from 10^7 to 2×10^9.Using the boundary layer thickness to normalize the height of gaps d, we find a strong consistency between the variation of the TD number(the average value of the temperature in each heat transfer channel is averaged after taking the absolute values) with the change of the height of gaps and the variation of the TD number with the change of Ra number in partitioned convection.For a given thickness of partition, heights of gaps are approximately equal to 0.5 or 1 time of the thermal boundary layer thickness λθ at different Ra numbers.TD number representing temperature characteristics is almost the constant value, which means that TD number is a function of d/λθ only.Analysis of local temperature field of area in gaps shows that the temperature distribution in the gaps are basically the same when d/λθ is certain.The heat transfer Nu number of the system at d/λθ≈ 0.5 is larger than that of d/λθ≈ 1, both of them have the same scaling law with Ra number and Nu^Ra^0.25. 展开更多
关键词 partitioned CONVECTION SYSTEM HEIGHT of GAPS thermal boundary layer TD number
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Partition Functions for Diatomic Molecules in Plasmas out of Thermal Equilibrium 被引量:1
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作者 Graldine FAURE 《Plasma Science and Technology》 SCIE EI CAS CSCD 2012年第3期192-200,共9页
Two calculation methods on the partition functions for diatomic molecules in plas- mas out of thermal equilibrium are reported. A Boltzmann distribution for the electronic, vi- brational and rotational quantum levels ... Two calculation methods on the partition functions for diatomic molecules in plas- mas out of thermal equilibrium are reported. A Boltzmann distribution for the electronic, vi- brational and rotational quantum levels is assumed in the two calculation methods. The results obtained by two methods are displayed for four sorts of diatomic molecules, 02, N2, OH and NO, that are present in humid air plasmas. The calculation method of density for the electronically excited states is developed. Finally, a method to calculate the partition functions for simulating the non-normalized diatomic spectra is discussed. 展开更多
关键词 partition function Boltzmann distribution diatomic molecule
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Prediction of Blood-to-Brain Barrier Partitioning of Drugs and Organic Compounds Using a QSPR Approach 被引量:1
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作者 GOLMOHAMMADI Hassan DASHTBOZORGI Zahra KHOOSHECHIN Sajad 《物理化学学报》 SCIE CAS CSCD 北大核心 2017年第6期1160-1170,共11页
The purpose of this study was to develop a quantitative structure–property relationship(QSPR) model based on the enhanced replacement method(ERM) and support vector machine(SVM) to predict the blood-to-brain barrier ... The purpose of this study was to develop a quantitative structure–property relationship(QSPR) model based on the enhanced replacement method(ERM) and support vector machine(SVM) to predict the blood-to-brain barrier partitioning behavior(log BB) of various drugs and organic compounds. Different molecular descriptors were calculated using a dragon package to represent the molecular structures of the compounds studied. The enhanced replacement method(ERM) was used to select the variables and construct the SVM model. The correlation coefficient, R^2, between experimental results and predicted log BB was 0.878 and 0.986, respectively. The results obtained demonstrated that, for all compounds, the log BB values estimated by SVM agreed with the experimental data, demonstrating that SVM is an effective method for model development, and can be used as a powerful chemometric tool in QSPR studies. 展开更多
关键词 Quantitative STRUCTURE-ACTIVITY relationship Blood-to-brain barrier partitioning Drug Enhanced replacement method Support vector machine
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Electron field emission from single-walled carbon nanotube nonwoven 被引量:2
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作者 宋礼 刘双 +11 位作者 张耿民 刘利峰 马文君 刘东方 赵小伟 罗述东 张增星 向颜娟 沈俊 周建军 王刚 周维亚 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第2期422-427,共6页
Field emission from single-walled carbon nanotube (SWNT) nonwoven has been investigated under high vacuum with different vacuum gaps, A low turn-on electric field of 1.05 V/μm is required to reach an emission curre... Field emission from single-walled carbon nanotube (SWNT) nonwoven has been investigated under high vacuum with different vacuum gaps, A low turn-on electric field of 1.05 V/μm is required to reach an emission current density of 10μA/cm^2. An emission current density of 10 mA/cm^2 is obtained at an operating electric field of 1.88V/μm. No current saturation is found even at an emission current of 5 mA. With the vacuum gap increasing from 1 to 10 mm, the turn-on field decreases monotonically from 1.21 to 0.68 V/μm, while the field amplification is augmented. The good field-emission behaviour is ascribed to the combined effects of the intrinsic field emission of SWNT and the waved topography of the nonwoven. 展开更多
关键词 single-walled carbon nanotubes FIELD
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Production of single-walled carbon nanotubes from methane over Co-Mo/MgO nanocatalyst:A comparative study of fixed and fluidized bed reactors 被引量:4
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作者 Alimorad Rashidi Roghayeh Lotfi +1 位作者 Ehsaneh Fakhrmosavi Masoud Zare 《Journal of Natural Gas Chemistry》 EI CAS CSCD 2011年第4期372-376,共5页
In this study,the performances of fixed and fluidized bed reactors in the production of single-walled carbon nanotubes(SWNTs)have been investigated.In both reactors,single-walled carbon nanotubes were grown by catal... In this study,the performances of fixed and fluidized bed reactors in the production of single-walled carbon nanotubes(SWNTs)have been investigated.In both reactors,single-walled carbon nanotubes were grown by catalytic chemical vapor decomposition(CCVD)of methane over Co-Mo/MgO nanocatalyst under two different operating conditions.The synthesized samples were characterized by TEM,TGA and Raman spectroscopy.It is found that the performance of a fluidized bed in the synthesis of carbon nanotubes is much better than that of a fixed bed.The quality of carbon nanotubes obtained from the fluidized bed was significantly higher than that from the fixed bed and the former one with the ID/IG ratio of 0.11 while the latter one with the ID/IG ratio of 0.71.Also,the yield of SWNTs in the fluidized bed was 92 wt%,while it was 78 wt%in the fixed bed.These advantages of fluidized bed reactors for the synthesis of carbon nanotubes can be attributed to more available space for the growth of carbon nanotubes and more uniform temperature and concentration profiles. 展开更多
关键词 single-walled carbon nanotubes chemical vapor deposition fixed bed reactor fluidized bed reactor
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Synthesis of nitrogen-doped single-walled carbon nanotubes and monitoring of doping by Raman spectroscopy 被引量:2
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作者 吴慕鸿 李晓 +6 位作者 潘鼎 刘磊 杨晓霞 许智 王文龙 隋郁 白雪冬 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第8期215-220,共6页
Nitrogen-doped single-walled carbon nanotubes (CNx-SWNTs) with tunable dopant concentrations were synthesized by chemical vapor deposition (CVD), and their structure and elemental composition were characterized by... Nitrogen-doped single-walled carbon nanotubes (CNx-SWNTs) with tunable dopant concentrations were synthesized by chemical vapor deposition (CVD), and their structure and elemental composition were characterized by using transmission electron microscopy (TEM) in combination with electron energy loss spectroscopy (EELS). By comparing the Raman spectra of pristine and doped nanotubes, we observed the doping-induced Raman G band phonon stiffening and 2D band phonon softening, both of which reflect doping-induced renormalization of the electron and phonon energies in the nan- otubes and behave as expected in accord with the n-type doping effect. On the basis of first principles calculations of the distribution of delocalized carrier density in both the pristine and doped nanotubes, we show how the n-type doping occurs when nitrogen heteroatoms are substitutionally incorporated into the honeycomb tube-shell carbon lattice. 展开更多
关键词 single-walled carbon nanotubes nitrogen doping chemical vapor deposition Raman spectroscopy
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Strong Convergence of Partitioning Estimation for Nonparametric Regression Function under Dependence Samples 被引量:4
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作者 LING Neng-xiang DU Xue-qiao 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第1期28-33,共6页
In this paper, we study the strong consistency for partitioning estimation of regression function under samples that axe φ-mixing sequences with identically distribution.Key words: nonparametric regression function; ... In this paper, we study the strong consistency for partitioning estimation of regression function under samples that axe φ-mixing sequences with identically distribution.Key words: nonparametric regression function; partitioning estimation; strong convergence;φ-mixing sequences. 展开更多
关键词 nonparametric regression function partitioning estimation strong convergence φ-mixing sequences
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Multi-objective partition planning for multi-infeed HVDC system 被引量:3
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作者 Zhao Yu Shuanbao Niu +4 位作者 Chao Huo Ning Chen Kaige Song Xiaohui Wang Yu Bai 《Global Energy Interconnection》 CAS CSCD 2021年第1期81-90,共10页
The close proximity and the necessity of coordination between multiple high-voltage direct currents(HVDCs)raise the issue of grid partitioning in multi-infeed HVDC systems.A multi-objective partition strategy is propo... The close proximity and the necessity of coordination between multiple high-voltage direct currents(HVDCs)raise the issue of grid partitioning in multi-infeed HVDC systems.A multi-objective partition strategy is proposed in this paper.Several types of relationships to be coordinated and complemented are analyzed and formulated using quantitative indices.According to the graph theory,the HVDC partition is transformed into a graph-cut problem and solved via the spectral clustering algorithm.Finally,the proposed method is validated for a practical multi-HVDC grid,confirming its feasibility and effectiveness. 展开更多
关键词 Multi-infeed HVDC system Grid partition Multi-objective planning Spectral clustering
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