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Differentially Private Multidimensional Data Publication 认领
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作者 ZHANG Ji DONG Xin +3 位作者 YU Jiadi LUO Yuan LI Minglu WU Bin 《中国通信:英文版》 SCIE CSCD 2014年第A01期79-85,共7页
关键词 多维数据 数据发布 隐私保护 查询处理 消毒技术 数据提供 小波变换 小波系数
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Categorification of Integrable Representations of Quantum Groups 认领
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作者 Hao ZHENG 《数学学报:英文版》 SCIE CSCD 2014年第6期899-932,共34页
We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac–Moody algebra. As a byproduct, we obtain a geometric realization of Lusztig's canonical bases of th... We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac–Moody algebra. As a byproduct, we obtain a geometric realization of Lusztig's canonical bases of these representations as well as a new positivity result. The main ingredient in the underlying geometric construction is a class of micro-local perverse sheaves on quiver varieties. 展开更多
关键词 量子群 几何结构 张量积 副产品 可积 权重
The Boundedness of Composition Operators on Triebel–Lizorkin and Besov Spaces with Different Homogeneities 认领
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作者 Wei DING 《数学学报:英文版》 SCIE CSCD 2014年第6期933-948,共16页
In this paper, we introduce new Triebel–Lizorkin and Besov Spaces associated with the different homogeneities of two singular integral operators. We then establish the boundedness of composition of two Calder′on–Zy... In this paper, we introduce new Triebel–Lizorkin and Besov Spaces associated with the different homogeneities of two singular integral operators. We then establish the boundedness of composition of two Calder′on–Zygmund singular integral operators with different homogeneities on these Triebel–Lizorkin and Besov spaces. 展开更多
关键词 BESOV空间 均匀性 有界性 复合算子 奇异积分算子
On the Stability of a Mixed Functional Equation Deriving from Additive, Quadratic and Cubic Mappings 认领
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作者 Li Guang WANG Kun Peng XU Qiu Wen LIU 《数学学报:英文版》 SCIE CSCD 2014年第6期1033-1049,共17页
关键词 函数方程 添加剂 稳定性 混合 映射 BANACH空间 平方 立方
Low Dimensional Cohomology of Hom-Lie Algebras and q-deformed W(2, 2) Algebra 认领
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作者 La Mei YUAN Hong YOU 《数学学报:英文版》 SCIE CSCD 2014年第6期1073-1082,共10页
This paper aims to study low dimensional cohomology of Hom-Lie algebras and the qdeformed W(2, 2) algebra. We show that the q-deformed W(2, 2) algebra is a Hom-Lie algebra. Also,we establish a one-to-one correspondenc... This paper aims to study low dimensional cohomology of Hom-Lie algebras and the qdeformed W(2, 2) algebra. We show that the q-deformed W(2, 2) algebra is a Hom-Lie algebra. Also,we establish a one-to-one correspondence between the equivalence classes of one-dimensional central extensions of a Hom-Lie algebra and its second cohomology group, leading us to determine the second cohomology group of the q-deformed W(2, 2) algebra. In addition, we generalize some results of derivations of finitely generated Lie algebras with values in graded modules to Hom-Lie algebras.As application, we compute all αk-derivations and in particular the first cohomology group of the q-deformed W(2, 2) algebra. 展开更多
关键词 上同调群 李代数 Q变形 低维 一一对应 有限生成 等价类 价值观
Similarity Degrees for the Crossed Product of von Neumann Algebras 认领
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作者 Jin Song WU Wen Ming WU 《数学学报:英文版》 SCIE CSCD 2014年第5期723-736,共14页
In this paper, we will estimate an upper bound for the similarity degree of the crossed product of a hyperfinite finite von Neumann algebra by weakly compact action of an infinite discrete group. We will also improve ... In this paper, we will estimate an upper bound for the similarity degree of the crossed product of a hyperfinite finite von Neumann algebra by weakly compact action of an infinite discrete group. We will also improve some upper bounds for similarity degrees of some finite von Neumann algebras. 展开更多
关键词 相似度 诺伊曼代数 NEUMANN代数 产品 离散群 估计 弱紧 上界
Peakon Solutions to Supersymmetric Camassa-Holm Equation and Degasperis-Procesi Equation 认领
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作者 罗琳 夏宝强 曹玉峰 《理论物理通讯:英文版》 SCIE CAS CSCD 2013年第1期73-79,共7页
在这份报纸, supersymmetric CamassaHolm 方程和 DegasperisProcesi 方程从一般 superfield 被导出由选择不同参数的方程。他们的 peakon 类型答案在弱感觉被显示出。同时,当时,动态行为特别地被分析二 peakons 有弹性地碰撞,并且... 在这份报纸, supersymmetric CamassaHolm 方程和 DegasperisProcesi 方程从一般 superfield 被导出由选择不同参数的方程。他们的 peakon 类型答案在弱感觉被显示出。同时,当时,动态行为特别地被分析二 peakons 有弹性地碰撞,并且一些结果与在二个方程之间的对方相比。 展开更多
关键词 CAMASSA-HOLM方程 孤立子解 超对称 完全弹性碰撞 动态行为 场方程 波型解 时间
A multilevel preconditioner for the C-R FEM for elliptic problems with discontinuous coefficients 认领
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作者 WANGFeng CHENJinRu HUANGpeiQi 《中国科学:数学英文版》 SCIE 2012年第7期 1513-1526,共14页
在这份报纸,我们为秒顺序的 Crouzeix-Raviart 有限元素近似建议 multilevel preconditioner 有不连续的系数的椭圆形的部分微分方程。因为有限元素空格是 nonnested,加权的 intergrid 转移操作员,在加权的 L 2 标准下面稳定,被介... 在这份报纸,我们为秒顺序的 Crouzeix-Raviart 有限元素近似建议 multilevel preconditioner 有不连续的系数的椭圆形的部分微分方程。因为有限元素空格是 nonnested,加权的 intergrid 转移操作员,在加权的 L 2 标准下面稳定,被介绍交换在不同网孔之间的信息。由分析 preconditioned 系统的特征值分发,我们证明除了一些小特征值,所有另外的特征值关于 jump 和网孔尺寸将近一致地下面并且上面被围住。作为结果,我们得到 preconditioned 的集中率结合坡度方法是关于 jump 和网孔尺寸的伪制服。数字实验被介绍证实我们的理论分析。 展开更多
关键词 间断系数 有限元素 预条件 椭圆型问题 预处理共轭梯度法 特征值分布 椭圆偏微分方程 网目尺寸
Entire Function Sharing Small Function with Its Difference Operators or Shifts 认领
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作者 Baoqin CHEN Zongxuan CHEN 《数学研究及应用:英文版》 CSCD 2012年第4期431-438,共8页
In this paper,we give some interesting results concerning the entire function f(z) sharing a small function a CM with its difference operators or shifts.
关键词 差分算子 整函数 分担小函数
Products of Toeplitz Operator on the Weighted Bergman Space of the Unit Ball 认领
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作者 Kan ZHANG Yufeng LU 《数学研究及应用:英文版》 CSCD 2012年第4期439-449,共11页
We consider the question for what kind of square integrable holomorphic functions f,g on the unit ball the densely defined products TfTg-are invertible and Fredholm on the weighted Bergman space of the unit ball.We fu... We consider the question for what kind of square integrable holomorphic functions f,g on the unit ball the densely defined products TfTg-are invertible and Fredholm on the weighted Bergman space of the unit ball.We furthermore obtain necessary and sufficient conditions for bounded Haplitz products HfTg-,where f∈L2(Bn,dvα) and g is a square integrable holomorphic function. 展开更多
关键词 加权BERGMAN空间 Toeplitz算子 单位球 产品 全纯函数 平方可积 充分条件 lm型
Hierarchy paths in the Hatcher-Thurston complex 认领
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作者 MAJiMing 《中国科学:数学英文版》 SCIE 2012年第7期 1479-1486,共8页
由 Masur-Minsky 和 Mahan Mj 的工作启发了,我们观察到表面 F 的 Hatcher-Thurston 建筑群是在裤子建筑群之间的插入内推的建筑群和曲线建筑群,然后,我们为 Hatcher-Thurston 建筑群给层次结构。由这层次结构,我们在与积极的类的 s... 由 Masur-Minsky 和 Mahan Mj 的工作启发了,我们观察到表面 F 的 Hatcher-Thurston 建筑群是在裤子建筑群之间的插入内推的建筑群和曲线建筑群,然后,我们为 Hatcher-Thurston 建筑群给层次结构。由这层次结构,我们在与积极的类的 subsurfaces 有关的 Hatcher-Thurston 建筑群显示出一个距离公式。作为推论,我们证明 Hatcher-Thurston 建筑群让一个与类为表面结束至少三,证明由于 Masur-Schleimer 运用一样的线,关键工具是距离公式。 展开更多
关键词 路径 层次结构 距离公式 复杂曲面
On region crossing change and incidence matrix 认领
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作者 CHENGZhiYun GAOHongZhu 《中国科学:数学英文版》 SCIE 2012年第7期 1487-1495,共9页
在 Ayaka Shimizu 的一个最近的工作,她学习了说出的操作连接图上的区域十字路口变化,它被 Kishimoto 建议,并且证明一个区域十字路口变化是为结图的 unknotting 操作。在这份报纸,如果并且仅当图的连接数字是偶的,我们证明一张 2... 在 Ayaka Shimizu 的一个最近的工作,她学习了说出的操作连接图上的区域十字路口变化,它被 Kishimoto 建议,并且证明一个区域十字路口变化是为结图的 unknotting 操作。在这份报纸,如果并且仅当图的连接数字是偶的,我们证明一张 2 部件连接图上的区域十字路口变化是 unknotting 操作。而且,我们经由它的签署的平面图和它的双图定义一张连接图的一个发生矩阵。由学习在区域十字路口变化和发生矩阵之间的关系,如果并且仅当联系发生矩阵的等级等于 c n + ,我们证明一张签署的平面图代表一张 n 部件连接图 1,在 c 表示图的尺寸的地方。 展开更多
关键词 关联矩阵 链接图 研究区域 矩阵的秩 平面图 图表示 操作 连接数
A MPI PARALLEL PRECONDITIONED SPECTRAL ELEMENT METHOD FOR THE HELMHOLTZ EQUATION 认领
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作者 洪桃李 许传炬 《高等学校计算数学学报:英文版》 SCIE 2005年第1期 56-66,共11页
Spectral element method is well known as high-order method, and has potential better parallel feature as compared with low order methods. In this paper, a parallel preconditioned conjugate gradient iterative method is... Spectral element method is well known as high-order method, and has potential better parallel feature as compared with low order methods. In this paper, a parallel preconditioned conjugate gradient iterative method is proposed to solving the spectral element approximation of the Helmholtz equation. The parallel algorithm is shown to have good performance as compared to non parallel cases, especially when the stiffness matrix is not memorized. A series of numerical experiments in one dimensional case is carried out to demonstrate the efficiency of the proposed method. 展开更多
关键词 光谱元素法 平行计算法 有限元法 矩阵 计算方法
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LOCAL CLASSICAL SOLUTION OF FREE BOUNDARY PROBLEM FOR A COUPLED SYSTEM 认领
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作者 王晓华 易法槐 杨舟 《数学物理学报:B辑英文版》 SCIE CSCD 2005年第2期 259-273,共15页
This paper considers a two-phase free boundary problem for coupled system including one parabolic equation and two elliptic equations. The problem comes from the discussion of a growth model of self-maintaining protoc... This paper considers a two-phase free boundary problem for coupled system including one parabolic equation and two elliptic equations. The problem comes from the discussion of a growth model of self-maintaining protocell in multidimensional case. The local classical solution of the problem with free boundary Γ:y = g(x, t) between two domains is being seeked. The local existence and uniqueness of the problem will be proved in multidimensional case. 展开更多
关键词 局部经典解 存在性 自由边界 耦合系统 增长模型 多维问题 数学物理方程
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WEYL CURVATURE OF A FINSLER SPACE 认领
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作者 MoXiaohuan 《高校应用数学学报:英文版》 SCIE CSCD 2005年第1期 10-20,共11页
The Weyl curvature of a Finsler metric is investigated. This curvature constructed from Riemannain curvature. It is an important projective invariant of Finsler metrics. The author gives the necessary conditions on We... The Weyl curvature of a Finsler metric is investigated. This curvature constructed from Riemannain curvature. It is an important projective invariant of Finsler metrics. The author gives the necessary conditions on Weyl curvature for a Finsler metric to be Randers metric and presents examples of Randers metrics with non-scalar curvature. A global rigidity theorem for compact Finsler manifolds satisfying such conditions is proved. It is showed that for such a Finsler manifold,if Ricci scalar is negative,then Finsler metric is of Randers type. 展开更多
关键词 威尔曲率 芬斯勒空间 黎曼几何 必要条件 紧流形
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A SECOND ORDER CONTROL-VOLUME FINITE-ELEMENT LEAST-SQUARES STRATEGY FOR SIMULATING DIFFUSION IN STRONGLY ANISOTROPIC MEDIA 认领
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作者 JayanthaPasdunkoraleA. IanW.Turner 《计算数学:英文版》 SCIE CSCD 2005年第1期1-16,共16页
An unstructured mesh finite volume discretisation method for simulating diffusion in anisotropic media in two-dimensional space is discussed. This technique is considered as an extension of the fully implicit hybrid c... An unstructured mesh finite volume discretisation method for simulating diffusion in anisotropic media in two-dimensional space is discussed. This technique is considered as an extension of the fully implicit hybrid control-volume finite-element method and it retains the local continuity of the flux at the control volume faces. A least squares function recon-struction technique together with a new flux decomposition strategy is used to obtain an accurate flux approximation at the control volume face, ensuring that the overall accuracy of the spatial discretisation maintains second order. This paper highlights that the new technique coincides with the traditional shape function technique when the correction term is neglected and that it significantly increases the accuracy of the previous linear scheme on coarse meshes when applied to media that exhibit very strong to extreme anisotropy ratios. It is concluded that the method can be used on both regular and irregular meshes,and appears independent of the mesh quality. 展开更多
关键词 误差校正项 有限体积离散法 有限元 各向异性介质 精确流体近似 斜率构造
MONOTONIZATION IN GLOBAL OPTIMIZATION 认领
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作者 WUZHIYOU BAIFUSHENG ZHANGLIANSHENG 《数学年刊:B辑英文版》 SCIE CSCD 2005年第3期 475-490,共16页
A general monotonization method is proposed for converting a constrained programming problem with non-monotone objective function and monotone constraint functions into a monotone programming problem. An equivalent mo... A general monotonization method is proposed for converting a constrained programming problem with non-monotone objective function and monotone constraint functions into a monotone programming problem. An equivalent monotone programming problem with only inequality constraints is obtained via this monotonization method. Then the existingconvexification and concavefication methods can be used to convert the monotone programming problem into an equivalent better-structured optimization problem. 展开更多
关键词 单调化 多目标规划 全局优化 局部线性
Asymptotic Behaviour of Solitons with a Double Spectral Parameter for the Bogomolny Equation in (2+1)-Dimensional Anti de Sitter Space 认领
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作者 纪学锋 周子翔 《中国物理快报:英文版》 SCIE CAS CSCD 2005年第7期1570-1572,共3页
The asymptotic behaviour of the solitons with a double spectral parameter for the Bogomolny equation in (2+1)dimensional anti de Sitter space is obtained. The asymptotic solution has two ridges close to each other whi... The asymptotic behaviour of the solitons with a double spectral parameter for the Bogomolny equation in (2+1)dimensional anti de Sitter space is obtained. The asymptotic solution has two ridges close to each other which locates beside the geodesic of the Poincaré half-plane. 展开更多
关键词 渐近性 孤波 双光谱参数 Bogomolny函数 偏微分方程
ON THE PRODUCT OF GATEAUX DIFFERENTIABILITY LOCALLY CONVEX SPACES 认领 被引量:1
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作者 沈喜生 程立新 《数学物理学报:B辑英文版》 SCIE CSCD 2005年第3期 395-400,共6页
A locally convex space is said to be a Gateaux differentiability space (GDS)provided every continuous convex function defined on a nonempty convex open subset D of the space is densely Gateaux differentiable in D.This... A locally convex space is said to be a Gateaux differentiability space (GDS)provided every continuous convex function defined on a nonempty convex open subset D of the space is densely Gateaux differentiable in D.This paper shows that the product of a GDS and a family of separable Frechet spaces is a GDS,and that the product of a GDS and an arbitrary locally convex space endowed with the weak topology is a GDS. 展开更多
关键词 局部凸函数 Gateaux可微空间 连续性 弱拓扑 数学物理
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COMPUTATIONAL COMPLEXITY IN WORST,STOCHASTIC AND AVERAGE CASE SETTING ON FUNCTIONAL APPROXIMATION PROBLEM OF MULTIVARIATE 认领
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作者 房艮孙 叶培新 《数学物理学报:B辑英文版》 SCIE CSCD 2005年第3期 439-448,共10页
The order of computational complexity of all bounded linear functional approximation problem is determined for the generalized Sobolev class Wp∧(Id), Nikolskii class Hk∞(Id) in the worst (deterministic), stochastic ... The order of computational complexity of all bounded linear functional approximation problem is determined for the generalized Sobolev class Wp∧(Id), Nikolskii class Hk∞(Id) in the worst (deterministic), stochastic and average case setting, from which it is concluded that the bounded linear functional approximation problem for the classes stochastic and average case setting. 展开更多
关键词 统计事件 危险概率 有界线性函数 误差估计 复杂性计算 数学物理
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