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论中国古籍钤印的分类

文献 2024年第5期 80-109页

作者：莫俊暨南大学图书馆

目前古籍钤印分类研究中存在对钤印概念的内涵和外延理解不准确,对钤印类型的多样化和复杂性认识不充分,对钤印分类依据、方法的规范性和科学性把握不恰当等不足。解决上述不足,可以“古籍钤印”作为顶层概念,在借鉴既有分类成果并占有... 详细信息

目前古籍钤印分类研究中存在对钤印概念的内涵和外延理解不准确,对钤印类型的多样化和复杂性认识不充分,对钤印分类依据、方法的规范性和科学性把握不恰当等不足。解决上述不足,可以“古籍钤印”作为顶层概念,在借鉴既有分类成果并占有更多材料的基础上,以功能为分类依据,将古籍钤印分为出版印、流传印两大类目,分别包含若干下位分类,从语义、语法、语用等角度就类目的概念、印文内容及印文组织形式进行综合剖析,重新构建种类涵盖广泛、类目设计合理、层级关系分明的古籍钤印分类体系,推动新时期古籍钤印整理研究工作的深入。

关键词：古籍钤印分类出版藏书

云计算环境下基于X-means优化聚类的海量多源异构数据分类

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北部湾大学学报 2024年第2期39卷 40-46页

作者：陶迎松安徽工商职业学院信息化建设与发展处安徽合肥231131

大数据分类算法在处理海量多源异构数据时存在精度差、效率低等问题,为此提出了一种在云计算环境下基于X-means的优化聚类算法。先构建云计算框架体系,包括用户层、应用层、平台层、资源层和后台管理层;基于RF优化算法对多源异构数据集... 详细信息

大数据分类算法在处理海量多源异构数据时存在精度差、效率低等问题,为此提出了一种在云计算环境下基于X-means的优化聚类算法。先构建云计算框架体系,包括用户层、应用层、平台层、资源层和后台管理层;基于RF优化算法对多源异构数据集做融合预处理,降低泛化误差的同时也能实现对数据集的粗分类;基于X-means优化聚类算法计算出数据聚类数量上下限值,不但提升数据训练的效率和降低算法的复杂度,还使距离平均误差值得到较好的控制。在实验室搭建了1个master节点和5个slave节点的云框架,实验结果显示,提出的分类算法在处理海量多源异构数据集时具有更强的分类精度和抗漂移性,同时在分类效率方面也具有一定优势。

关键词：云计算 X-means优化聚类 RF优化算法融合预处理距离平均误差值

Implementing Symmetries of a Free Bose field via White Noise Operators

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Acta Mathematica Sinica,English Series 2003年第1期19卷 147-158页

作者： ShunLongLU0 InstituteofAppliedMathematics AcademyofMathematicsandSystemSciencesChineseAcademyofSciencesBeijing1

Linear symmetries of a free Bose field are exploited in the framework of Hida's white noise functionals triple. General symplectic automorphisms on the single particle space are implemented by generalized operators. The intertwining operators are constructed in a physically intuitive way, characterized analytically in terms of symbols, and factorized into three fundamental parts according to Wick ordering procedure. In particular, the classical Shale's theorem is rederived.

关键词： Free Bose field Symplectic automorphisms Symbols Gaussian Kernel operators 60H07 81R10 81T05

A New Approach to Nonlinear Partial Differential Equations

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Communications in Nonlinear Science and Numerical Simulation 1997年第4期2卷 230-235页

作者： Jihuan HE (Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics,Shanghai 2 0 0 0 72 ,China) Shanghai University Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China

In this paper,a novel method called variational iteration method is proposed to solve nonlinear partial differential equations without linearization or small *** this method,a correction functional is constructed by a general Lagrange multiplier,which can be identified via variational *** analytical solution can be obtained from its trial- function with possible unknown constants,which can be identified by imposing the boundary conditions,by successively iteration.

关键词： Nonlinear Problems Partial Differential Equations Variational Iteration Method Variational Theory

Valued Gabriel quiver of a wedge product and semiprime coalgebras

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Frontiers of Mathematics in China 2013年第5期8卷 1157-1183页

作者： Gabriel NAVARR0 Department of Computer Sciences and AI University of Granada E1 Greco s/n E-51002Ceuta Spain

We describe the valued Gabriel quiver of a wedge product of coalgebras and study the category of comodules of a semiprime coalgebra. In particular, we prove that any monomial semiprime k-tame fc-tame coalgebra is string. We also prove a version of Eisenbud-Griffith theorem for coalgebras, namely, any hereditary semiprime strictly quasi-finite coalgebra is serial.

关键词： Wedge product semiprime coalgebras representation theory,valued Gabriel quiver

Variational Iteration Method for Delay Differential Equations

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Communications in Nonlinear Science and Numerical Simulation 1997年第4期2卷 235-236页

The variational iteration method is shown to be applicable to delay differential equations for analytical approximate solutions

关键词： Variational Iteration Method for Delay Differential Equations

Numerical simulations for G-Brownian motion

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Frontiers of Mathematics in China 2016年第6期11卷 1625-1643页

作者： Jie YANG Weidong ZHA0 School of Mathematics & Finance Institute Shandong University Jinan 250100 China

This paper is concerned with numerical simulations for the G- Brownian motion （defined by S. Peng in Stochastic Analysis and Applications, 2007, 541-567）. By the definition of the G-normal distribution, we first show that the G-Brownian motions can be simulated by solving a certain kind of Hamilton-Jacobi-Bellman （HJB） equations. Then, some finite difference methods are designed for the corresponding HJB equations. Numerical simulation results of the G-normal distribution, the G-Brownian motion, and the corresponding quadratic variation process are provided, which characterize basic properties of the G-Brownian motion. We believe that the algorithms in this work serve as a fundamental tool for future studies, e.g., for solving stochastic differential equations （SDEs）/stochastic partial differential equations （SPDEs） driven by the G-Brownian motions.

关键词： Nonlinear expectation G-Brownian motion G-normal distribu- tion Hamilton-Jacobi-Bellman (HJB) equation

Projected area and drag coefficient of high velocity irregular fragments that rotate or tumble

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Defence Technology（防务技术） 2017年第4期13卷 269-280页

作者： John F. Moxnes 0yvind Fr0 yland Ivar J. 0ye Tom I. Brate Eva Friis Gard 0degardstuen Tallak H. Risdal Norwegian Defence Research Establishment Land Systems Division P.O. Box 25 2027 Kjeller Norway Nammo Raufoss AS P.O. Box 162 2831 Raufoss Norway HPVisTech AS Bj0rnstadgutua 21 2092 Minnesund Norway

3 degrees of freedom(DOF)exterior ballistic computer models are used in fragment studies to calculate individual trajectories of each fragment based on drag coefficient and the projected(presented)area in the direction of velocity of center of *** expectation of a randomly distributed projected area is commonly used for fragments that tumble(random rotation)during *** forecast a model where the expected drag coefficient is dependent of shape and Mach *** or tumbling only affects the expected projected *** of projected areas during tumbling and rotation are *** examination of the data by Mc Cleskey(1988)indicates that the volume of the fragment to the power of2/3 is a better parameter to characterize the drag coefficient of the fragments than the maximum projected *** simulations are used to verify results and to study projected area and drag coefficient of fragments.

关键词： Fragments Form factor Mach number Drag coefficient Cauchy area Tumbling

Lattice-Boltzmann Models for Heat Transfer

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Communications in Nonlinear Science and Numerical Simulation 1997年第4期2卷 212-216页

作者： Chenghai SUN,Zujun XU,Baoguo WANG &Mengyu SHEN (Dept. of Engineering Mechanics,Tsing- hua University,Beijing,1 0 0 0 84) Department of Engineering Mechanics Tsinghua University Beijing 100084 China

A multispeed heat transfer lattice Boltzmann model is presented. The model possesses the perfect gas state equation with arbitrary special heat ratio. The macroscopic conservation equations are derived by the Chapman- Enskog *** one dimensional simulation for the sinusoidal energy distributions are compared with the theoretical results, showing good *** theoretical conductivity in the energy equation is in accordance with the simulations.

关键词： Lattice Boltzmann heat transfer perfect gas