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 induced space 诱导空间(12)生成空间(1)诱导拓扑(1)
 诱导空间
 λ-Cut Topology and Weakly Induced Space λ-截拓扑与弱诱导空间 短句来源 In particular,if (L~X,δ)is a ,λ-weakly induced space,then (L~X,δ)is a Hausdorff space or a strongly Hausdorff space. iff the λ-cut topological space(X,l_λ(δ))is a Hausdorff space,hence,in the class of λ-weakly induced spaces,Hausdorff separation is equivalent to strongly Hausdorff separation; 特别是,若(L~X,δ)是λ-弱诱导空间,则(L~X,δ)是Hausdorff空间或强Hausdorff空间,当且仅当λ-截拓扑空间(X,ι_λ(δ))是Hausdorff空间,因此对λ-弱诱导空间来说,Hausdorff分离性与强Hausdorff分离性是等价的; 短句来源 On Strong Preopen Set of General Topology and Equivalent Conditions of L-Fuzzy Induced Space 拓扑空间中的强拟开集及L-Fuzzy诱导空间的等价条件 短句来源 In this article,we prove the subdirect product representation theorem of complete rings of sets and the following result:An induced space (LX,T ) is completely regular  its underlying space (X,［T ］) is comletely regular. 给出完备集环的次直积表示定理，并由此证得如下结果：诱导空间(LX,T )是完全正则的当且仅当它的底空间(X,［T ］)是完全正则空间. 短句来源 if ( L X,δ ) is a fully_sheaved and λ _weakly induced space, then (L X,δ) is a ST 2_space, if and only if it is a strongly Hausdorff space, the λ _cut topological space ( X,ι λ(δ) ) is a Hausdorff space,and the base space ( X,) is a Hausdorff space. 满层的λ＿弱诱导空间（LX，δ）是ST2空间，当且仅当它是强Hausdorf空间，当且仅当λ＿截空间（X，ιλ（δ））是Hausdorf空间，当且仅当底空间（X，［δ］）是Hausdorf空间 短句来源 更多
 生成空间
 We proved that a fuzzy matroid is closed if and only if its induced space is sequentially compact space. 提出了模糊拟阵生成空间的概念,证明了一个模糊拟阵是闭的当且仅当它的生成空间是列紧的。 短句来源
 诱导拓扑
 In this paper, the basic properties of λ—cut topology are discussed,the relations weakly induced space and λ—cut topology are established. 讨论λ—截拓扑的基本性质，建立弱诱导拓扑与λ—截拓扑的关系。 短句来源
 “induced space”译为未确定词的双语例句
 In the light of the F strong paracompactness concept,it is proved that the F strong paracompact space with strong Hausdorff is a weakly induced space. As a corollary,it is showed that the F strong paracompact space with strong Hausdorff separation is Strongly normal. 用 F 强仿紧性的概念,证明了强 Hausdorff 的 F 强仿紧空间是弱诱导的,并由此推出强 Hausdorff 的 F 强仿紧空间是强正规的. 短句来源 For the linear log contrast model with mixture's design space, a transforma tion is made first and the an induced space is founded in this paper. An optimal value in this space is given and the design responding to the value is proved to be a D──optimal design, 针对线性对数比模型的设计空间，首先进行了一个变换，从而引进导出空间，在导出空间中给出最优配置，进而，证明此最优配置所对应的设计为D──最优设计。 短句来源 The multiplication of containwise regular spaces is discussed. The results that the containwise regularity of an induced space is equivalent to the regularity of its induced space under the condition of closure preservuing and that containwise regularity is a good extension in the sense of Lowen are obtained. 讨论了包含式正则性的可乘性，得到了在闭包保持的前提下分明空间的正则性等价于其诱导空间的包含式正则性以及包含式正则性是Lowen意义下好的推广等结果 短句来源 When the driving frequency is high enough, a large number of ions are trapped and the induced space charge field makes a great many of electrons stay in the discharge volume. 当外加电压频率足够高时 ,大量离子被俘获在放电空间 ,空间电荷场又引起足够多的电子滞留在放电空间 . 短句来源

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 induced space
 Toward a factually induced space-time quantum logic Experimental Assessment of the Nonuniform Radiation-Induced Space-Charge Distribution in the Surface Region of Silicon As usual in laser stereophotolithography or laser microstereophotolithography, the part is manufactured layer by layer by a light-induced space-resolved polymerization. The laser stereophotolithography is a process which allows the manufacture of 3D parts by a light-induced space-resolved polymerization. The laser stereophotolithography is a process which allows the manufacture of 3D parts by a light-induced space-resolved polymerization. 更多
 It is the purpose of this paper to survey the known results about the fuzzy unit interval I(L). I(L) is a rather unique fuzzy topological space and possesses many important properties, for example, it can be used to characterize fuzzy normality and uniformizability. Theseresults are arranged in four sections as follows: §1 , Introductionof the fuzzy unit interval; §2, Topological properties of the fuzzyunit interval and its applications on Stone-Cech compactification;§3, Lattice-theoretical properties... It is the purpose of this paper to survey the known results about the fuzzy unit interval I(L). I(L) is a rather unique fuzzy topological space and possesses many important properties, for example, it can be used to characterize fuzzy normality and uniformizability. Theseresults are arranged in four sections as follows: §1 , Introductionof the fuzzy unit interval; §2, Topological properties of the fuzzyunit interval and its applications on Stone-Cech compactification;§3, Lattice-theoretical properties and algebraic operation;§4, I(L)value semi-continuous functions and induced spaces. 不分明单位区间是一个十分重要的不分明拓扑空间,在不分明拓扑中有着广泛的应用.国内外学者已发表了不少文章讨论它的各种性质和应用。本文综述了有关这方面的某些主要研究成果. In the present paper,the systematic theory of L-valued lower semicontinuous functions has been discussed.For a fixed set X,the writer established the map ω_L from the set ■(X) of crisp toplogies on X to the set △(X,L) of L-fuzzy topologies on X, and the map l_L from △(X,L)to■(X).The properties of ω_L and l_L are discussed. especially the structure of the base for ω_L(■)is clarified.As the appliction of the theory,the author obtained a series of results about the relation between induced spaces and their... In the present paper,the systematic theory of L-valued lower semicontinuous functions has been discussed.For a fixed set X,the writer established the map ω_L from the set ■(X) of crisp toplogies on X to the set △(X,L) of L-fuzzy topologies on X, and the map l_L from △(X,L)to■(X).The properties of ω_L and l_L are discussed. especially the structure of the base for ω_L(■)is clarified.As the appliction of the theory,the author obtained a series of results about the relation between induced spaces and their generated spaces,for example,the subspaces,product spaces and quotient spaces of induced spaces are all induced spaces. 本文系统地讨论了格值下半连续函数理论.对于给定集合 X,建立 X 上分明拓扑的全体 T(X)到 X 上的 L-fuzzy 拓扑的全体Δ(X,L)上的映射ω_L 和由Δ(X,L)到 T(X)的映射ι_L.讨论了ω_L 和ι_L 的性质,特别是给出了ω_L(■)的基的结构.作为应用,建立了可拓扑生成空间与其生成空间之间关系的一系列结果,例如,可拓扑生成空间的子空间、积空间、商空间等也是可拓扑生成的. In this paper, starting with the stratum structure of L-fuzzy topological spaces, we define the spaces in which closure operators preserve strata. By useing of this conception, we give out some equivalent conditions for the commutativity of closure operators with the product operator in fully stratified L-fuzzy topological spaces, and prove that: if each factor space of a product space is induced space, then the closure operators are commutative with the product operator, therefor the problem put forward... In this paper, starting with the stratum structure of L-fuzzy topological spaces, we define the spaces in which closure operators preserve strata. By useing of this conception, we give out some equivalent conditions for the commutativity of closure operators with the product operator in fully stratified L-fuzzy topological spaces, and prove that: if each factor space of a product space is induced space, then the closure operators are commutative with the product operator, therefor the problem put forward in [2] has been well solved. 本文利用Fuzzy格的代数性质,从L-fuzzy拓扑的层次结,构入手,定义了闭包保层空间,藉助于它给出了满层L-fuzzy拓扑空间的闭包算子与乘积算子可交换的等价条件,并证明了:若乘积L-fuzzy拓扑空间的每个因子空间都是诱导的,则闭包算子与乘积算子是可交换的,从而较好地解决了[2]中所提出的问题。 << 更多相关文摘
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