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subset
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  子集
     L—POWER AND A TOTALLY ORDERED SUBSET OF TREES
     L—幂和树的一类全序子集
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     The Geometric Charaterization of a L-Fuzzy Nice-Compact Subset
     L-良紧子集的几何刻划
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     Fuzzy Extension Subset and Its Nature
     模糊可拓子集及其性质
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     Selecting Regression Equation: Cp Criteria All Possible Subset Regression
     回归自变量的选择:Cp准则所有变量子集的回归
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     A Parallel Algorithm of Selecting the Best Subset on C_p Criterion
     C_p准则下选择最优子集的并行算法
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  亚群
     During the3rd~5th week,the CD8+cell count and the percentage of CD8+CD38+subset reached normal values,which were(581±356)/mm 3 and(40.1±17.6)%,respectively.
     感染3~5周时,CD8+细胞计数和激活亚群的百分比均恢复正常,分别为(581±356)/mm3和(40.1±17.6)%。
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     Conclusion: CD4+ CD25+ Treg cells are a subset of CD4+ T cells with immunosuppressive function.
     结论:CD4+CD25+Treg细胞是一群具有免疫抑制功能的T细胞亚群细胞。
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     The Measurements of T Cell Subset CD_4、CD_8 of Patients with Endometriosis
     子宫内膜异位症患者T细胞亚群CD_4、CD_8的测定
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     T-lymphocyte Subset,TNF-α,IL-6,IL-8,sIL-2R Levels Have Relation To Hepatitis B Viral Replication
     T淋巴细胞亚群、TNF-α、IL-6、IL-8、sIL-2R与乙肝病毒复制的关系
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     During the8th~12th week,the cell counts of CD4+cell(578±193)/mm 3 and naive CD4+subset(176±64)/mm 3 were still less than those of normal controls,while compared with those of the1st week,the increments were remarkable.
     感染8~12周时,CD4+细胞和CD4+纯真细胞亚群的计数分别为(578±193)/mm3和(176±64)/mm3,仍低于正常水平,但与感染1周时相比均有异常显著的升高。
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     On Theory, Method and Innovation of Subset Selection and Optimization Problem
     项目集合选择优化理论、方法与创新研究
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     STATISTICAL ANALYSIS OF SUBSET AR MODELS
     自回归模型的精细结构与统计分析
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     FUZZY SUBSET OF FUZZY DOMAIN AND ITS APPLICATION
     变域FUZZY集及其在知识工程中的应用
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     Differential Equations for Discontinuous Right-hand on Closed Subset in a Banach Space
     Banach空间闭集上的具有不连续右端的微分方程(Ⅰ)
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     Restriction of Kelvin-Helmholtz Wave Equation on the Finite Dimensional Subset
     非线性Kelvin-Helmholtz波方程在有限维子集上的约化
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  subset
Equivalently, ifCn, is the total space for a principalGa-bundle over some open subset ofCn-1 then the bundle is trivial.
      
The setX+ of dominant weights is a union of closed alcoves numbered by the elementsw∈Wf of a certain subset of affine Weyl groupW.
      
We show that there is a complex spaceXcendowed with a holomorphic action of the universal complexificationG ofK that containsX as an openK-stable subset.
      
Another interesting subset of Vλ ? Vμ is the set of decomposable tensors.
      
We show that the (open) set $\Omega^+\subset{\mathcal A}$ of all division algebra structures on $A$ has four connected components.
      
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The first nonstandard model of arithmetic was given by Skolem[6]. A. Robinson has introduced the concepts of standard, internal and external objects (sets, rela-tions, functions, etc.) on the compactness theorem and concurrent relations [5], and has proved that if a set S is infinite, then S contains nonstandard internal objects. It is interesting to ask whether this is a common property of all non-standard modes of arithmetic. The author's answer to this question is in the negative.We have proved the theorem...

The first nonstandard model of arithmetic was given by Skolem[6]. A. Robinson has introduced the concepts of standard, internal and external objects (sets, rela-tions, functions, etc.) on the compactness theorem and concurrent relations [5], and has proved that if a set S is infinite, then S contains nonstandard internal objects. It is interesting to ask whether this is a common property of all non-standard modes of arithmetic. The author's answer to this question is in the negative.We have proved the theorem that there exists a nonstandard model of formal arithmetic in which there are infinitely many infinte internal subsets containing no nonstandard elements.This means that these infinite internal subsets are composed exclusively of finite natural numbers. In order to obtain this theorem we have made use of Cohen's forcing method.

Skolem建立了形式算式的第一个非标准模型.A.Robinson在由紧致性定理和共点关系所获得的非标准模型中引进了标准的、内的和外的对象(集合、关系、函数等)的概念,并证明了:如果S是无穷的,则S中含有非标准的内对象.这是形式算术的一切非标准模型的共性吗?本文对这一问题作了否定回答,获得并证明了下述结果:主要定理.存在着形式算术的一个非标准模型,在其中有无穷多个不包含非标准元素的无穷内子集合.这就是说,这些无穷的内子集合纯粹是由有限的自然数所组成.我们的证明使用了 P.J.Cohen的力迫法.

Suppose X is a complex B-space,B(X) is all bounded linear operator on X,C is the complex plane, the F is a collection of all closed subsets of C. We introduced a class of operator, and investigated its spectral theory. The operator T∈B(X) is said to be at(AC) operator, if T has the properties (A) and (C). we had investigated and showed that: (1) T∈B(X) is (AC) operator if and only if the homomorphism X(·) of F into the collection of closed subspaces of X which satisfies the following conditions: (i)X(F_1∩F_2)=X(F_1)∩X(F_2);...

Suppose X is a complex B-space,B(X) is all bounded linear operator on X,C is the complex plane, the F is a collection of all closed subsets of C. We introduced a class of operator, and investigated its spectral theory. The operator T∈B(X) is said to be at(AC) operator, if T has the properties (A) and (C). we had investigated and showed that: (1) T∈B(X) is (AC) operator if and only if the homomorphism X(·) of F into the collection of closed subspaces of X which satisfies the following conditions: (i)X(F_1∩F_2)=X(F_1)∩X(F_2); (ii)X(φ)={0}, X(C)=X; (iii) TX(F)X(F); (iv)σ(T\X(F))F;(v) for x∈X,if there exists a analytical function x(λ):F→X, such that (λI-T)x(λ)=x,λ∈F, then x(λ)∈X(F),λ∈F. (2) If T∈B(X) is (AC) operator, then for every F∈F has (i)if X_T(F)≠{0}, then F∩σ(T)≠φ;(ii)if X_T(F)={0}, then F∩σ_p(T)=φ. (3)If T∈B(X), σ(T) lies in smoothly Jordan curve Γ, and for cach z∈Γ, there exists nonzero analytical function f(z) on a neighbourhood V of Γ, such thatthen T is (AC) operator.

设X是复B-空间,B(X)是X上有界线性算子全体,C是复平面,F是C的一切闭子集类,我们引入一类算子,并研究它的谱理论,算子T∈B(X)称为(AC)算子,若T有性质(A)与(C),我们证明:(1)T∈B(X)是(AC)算子当且仅当对F到X的闭子空间类的同态X(·)满足下述条件:(ⅰ)(F_1∩F_2)=X(F_1)∩X(F_2);(ⅱ)X(φ)={0},X(C)=X;(ⅲ)TX(F)X(F);(ⅳ)σ(T|X(F))F;(ⅴ)对x∈X若存在解析函数x(λ):CF→X,使(λI-T)x(λ)=x,则x(λ)∈X(F),λ∈CF,(2)设T∈B(X)是(AC)算子,则对任何F∈F,有:(ⅰ)若X_T(F)≠{0},则F∩σ(T)≠φ;(ⅱ)若X_T(F)={0},则F∩σ_p(T)=φ,(3)设T∈B(X),σ(T)位于光滑Jordan曲线Γ上,又对每个z∈Γ,存在Γ邻域V上非零解析函数f(z),使 ‖f(z)R(λ,T)‖≤M_z,λ≠z,λ∈V,M_z>0,则T是(AC)算子。

In this paper we give the theorems for extending the C~m—function defined on a subset of a differential manifold to a C~m—function defined on all of the manifold and with some applicattons of them.

本文给出了在微分流形M_n的子集上定义的C~m函数展拓为整个流形上的C~m函数的定理和它们的某些应用

 
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