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 open neighborhood 开邻域(2)
 开邻域
 And let U be an open neighborhood of M in V and Δ n be the n dimensional standard simplex in R n. 设U是M在V中的某开邻域且Δn 是Rn 中n维标准单形 . 短句来源 In this paper, by defining two new spectral sets, we give the necessary and sufficient conditions for Browder's theorem and Weyl's theorem for bounded linear operator T and f(T), where f∈H(σ(T)) and H(σ(T)) denotes the set of all analytic functions on an open neighborhood of σ(T). 本文通过定义两个新的谱集,给出了Browder定理和Weyl定理对算子T以及f(T)成立的充要条件,其中f∈H(σ(T)),H(σ(T))表示在谱集σ(T)的开邻域上解析的函数的全体。 短句来源
 “open neighborhood”译为未确定词的双语例句
 Theorem 1 A topological space X is regular if and only if each point x in X and any open neighborhood U of x,there is a closed neighborhood V of x such that VU. 定理2 拓扑空间 X 为正规空间,当且仅当对于 X 中的任意不相交的闭集 A、B、A、B分别有不相交的闭邻域 U、V,使U∩V=. 短句来源 Taking the Club at Legacy Garden, Karl Community and Fenghua Tiancheng as examples, this article further explains Chen's ideas on plain and plummily good architecture, which includes simple and chic form, open neighborhood, integrity of living behavior and space, and harmony of ecological environment and architecture, etc. 文章以陈凌设计的亚运新新会所、卡尔生活馆、风华天成项目等作品为例,进一步阐述了陈凌所坚持的“平常的好建筑”的理念,包括简约精致的造型,开放的街区,生活行为与空间的统一,以及建筑与生态环境的和谐等方面。 短句来源
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 open; 评价的开放性问题； 短句来源 Urban open space——On neighborhood park's design 论城市的开放空间——兼论邻里公园的设计 短句来源 AUSTRALIAN OPEN 澳网日记 短句来源 And let U be an open neighborhood of M in V and Δ n be the n dimensional standard simplex in R n. 设U是M在V中的某开邻域且Δn 是Rn 中n维标准单形 . 短句来源 Neighborhood unions 泛圈图的邻域并 短句来源

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 open neighborhood
 I describe Riemann surfaces of constant curvature -1 with the property that the length of its shortest simple closed geodesic is maximal with respect to an open neighborhood in the corresponding Teichmüller space. For any[Figure not available: see fulltext.]>amp;gt;0 there exists an open neighborhood V of the set K such that any function[Figure not available: see fulltext.]-analytic on K coincides in some neighborhood of the set K with a function analytic in V. With some mild assumptions, it is shown that there exists an open neighborhood around the minimizer so that our scheme applied to any point in the neighborhood will always give the correct optimal eigenvalue multiplicity. Dirichlet solutions are valid in the open neighborhood of the hexagon, due to singular boundary conditions. It is also shown that the restriction of a linear single-valued map to a convex set containing an open neighborhood of the origin is always limit transitive. 更多
 In this paper we prove four theorems,all part of a program to pronounce regular and normal space. Theorem 1 A topological space X is regular if and only if each point x in X and any open neighborhood U of x,there is a closed neighborhood V of x such that VU. Theorem 2 A topological space X is normal if and only if each closed set A in X and any open neighborhood U of A,there is a closed neighborhood V of A such that V U. Theorem 3 A topological space X is regular if and only if any point... In this paper we prove four theorems,all part of a program to pronounce regular and normal space. Theorem 1 A topological space X is regular if and only if each point x in X and any open neighborhood U of x,there is a closed neighborhood V of x such that VU. Theorem 2 A topological space X is normal if and only if each closed set A in X and any open neighborhood U of A,there is a closed neighborhood V of A such that V U. Theorem 3 A topological space X is regular if and only if any point x in X and any closed sct B in X,x∈B,there are disjoint closed neighborhoods of x and of B. Theorem 4 A topological space X is normal if and only if any disjoint closcd sets A and B in X,there are closed neighorhoods U,V of A and of B,such that,U∩V= 本文给出了正则和正规空间的4个判定定理:定理1 拓扑空间 X 为正则空间,当且仅当对于 X 中的任一点x 以及 x 中不含 x 的任一闭集 B,x、B 分别有闭邻域 U、V,使得U∩V=.定理2 拓扑空间 X 为正规空间,当且仅当对于 X 中的任意不相交的闭集 A、B、A、B分别有不相交的闭邻域 U、V,使U∩V=.定理3 拓扑空间 X 为正则空间,当且仅当对 X 中的任一点 x 以及不含点 x 的任意闭集B,分别有 x,B 的闭邻域 U、V,使得 i(U)∩i(V)=.定理4 拓扑空间 X 为正规空间,当且仅当对 X 中的任意两个不相交的闭集 A、B,A、B 分别有闭邻域 U、V,使得 i(U)∩i(V)=. In this paper we prove that several weak base metrization theorems, the main results are as follows: (1) A topology space X is metrization if and only if X has a weak base satisfied. If for each covergent seguence {x n}→x and each open neighborhood U of x there exists m∈N such that T(x,m)U and the femilly of all member of B that meet both T(x,m) and X U is finite, where T(x,m)={x n:n≥n}. (2) A topology space X is metrization if and only if X has a week development G 1,G 2,… Such that for each natural... In this paper we prove that several weak base metrization theorems, the main results are as follows: (1) A topology space X is metrization if and only if X has a weak base satisfied. If for each covergent seguence {x n}→x and each open neighborhood U of x there exists m∈N such that T(x,m)U and the femilly of all member of B that meet both T(x,m) and X U is finite, where T(x,m)={x n:n≥n}. (2) A topology space X is metrization if and only if X has a week development G 1,G 2,… Such that for each natural numberi and any two sets U 1,U 2∈G i+1 with non empty intersection then exists a set U∈G i such that U 1∩U 2U. 本文证明了几个弱基度量化定理，主要结果如下：（１）拓扑空间Ｘ是可度量化当且仅当Ｘ有弱基Ｂ满足如果对每个收敛序列｛ｘｎ｝→ｘ及ｘ的每个开邻域Ｕ，存在ｍ∈Ｎ，使得Ｔ（ｘ，ｍ）Ｕ且仅有Ｂ的有限多个元素与Ｔ（ｘ，ｍ）及Ｘ—Ｕ相交，其中Ｔ（ｘ，ｍ）＝｛ｘｎ：ｎ≥ｍ｝∪｛ｘ｝；（２）拓扑空间Ｘ是可度量化当且仅当Ｘ有一个弱展开Ｇ１，Ｇ２，…，使得对每个自然数ｉ及任意Ｕ１，Ｕ２∈Ｇｉ＋１且Ｕ１∩Ｕ２≠，存在Ｕ∈Ｇｉ有Ｕ１∩Ｕ２Ｕ． Let M,V,Q be Lipschitz manifolds, M be a locally flat and compact submanifold of V, V be an open manifold and dim V =dim Q. And let U be an open neighborhood of M in V and Δ n be the n dimensional standard simplex in R n. if f: Δ n×U→Δ n×Q is a LIP immersion and P 1f=P 1, we call f an n dimensional simplex. Let (IM V(M,Q)) n be the set of all f and IM V(M,Q) ={(IM V(M,Q)) n} n≥0. In this paper, we proved that Im v(M,Q) ... Let M,V,Q be Lipschitz manifolds, M be a locally flat and compact submanifold of V, V be an open manifold and dim V =dim Q. And let U be an open neighborhood of M in V and Δ n be the n dimensional standard simplex in R n. if f: Δ n×U→Δ n×Q is a LIP immersion and P 1f=P 1, we call f an n dimensional simplex. Let (IM V(M,Q)) n be the set of all f and IM V(M,Q) ={(IM V(M,Q)) n} n≥0. In this paper, we proved that Im v(M,Q) together with the face operator  i and the degeneracy operater S i defined by us is a semisimplicial complex. 设M ,V ,Q是李普希茨流形 ,M是V的局部LIP平坦的紧子流形 ,V是开流形且dimV =dimQ .设U是M在V中的某开邻域且Δn 是Rn 中n维标准单形 .如f:Δn×U→Δn×Q是一个LIP浸入且P1f =P1,称f是一个n维单形 .令 (IMV(m ,Q) ) n 是上面所定义的所有n维单形的集合且令IMV(m ,Q) ={ (IMV(M ,Q) ) n} n 0 .本文证明了IMV(M ,Q)在我们所定义的面运算 i和退化运算Si下是一个半单复形 . << 更多相关文摘
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