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覆盖定理
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  covering theorem
     Two Applications of Barel Covering Theorem in Continuous and Progression
     Borel覆盖定理在连续与级数上的两则应用
短句来源
     By constructing continuously differentiable local integrating factors and using the finite covering theorem, it is proved in this paper for the equation f(x,y)dx+g(x,y)dy= 0 that, in the interior of any simply connected and bounded closed region without singular points, there existcontinuously defferentiable integrating factors and corresponding first integrals.
     本文通过构造连续可微的局部积分因子并应用有限覆盖定理,证明了方程f(x,y)dx+g(x,y)dy=0在其无奇点的单连通有界闭域的内部,存在连续可微的积分因子及其相应的首次积分。
短句来源
     Continuous function on a closed interval containing a maximum and minimum is proved by bounded theorem, Weierstrass theorem, finite covering theorem, interval sequence theorem, monotone bounded theorem, infimum and supremum definition in mathematical analysis.
     利用数学分析中的有界性定理、Weierstrass定理、有限覆盖定理、闭区间套定理、"单调有界数列有极限"定理、上下确界定义来证明闭区间上的连续函数能取到最大、最小值。
短句来源
     In this article,several characters of semi continuous function are studied on the base of its definition by combining with the closed interval theorem and limited covering theorem.
     本文在半连续函数定义基础上 ,结合闭区间套定理、有限覆盖定理得出半连续函数若干性质
短句来源
     Gives a new proof of real number continuous theorem and fundamental theorem of differential by complete covering theorem.
     用完全覆盖定理给出实数连续性定理及微分学基本定理的新证明
短句来源
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  cover theorem
     Application of the Full Cover Theorem to the Differential Calculus
     完全覆盖定理在微分学中的应用
短句来源
     In this paper, the concept and property of infinity were introduced, and the methematical method of infinity being transferred into finiteness was presented──finiteness cover theorem and its simplicity application.
     本文介绍了无限的概念、性质和无限向有限转化的数学方法──有限覆盖定理及其简单应用。
短句来源
     The Cover Theorem of the Circular Rings with Respect to the Roots of the One-variable Plolynomials of Degree n.
     一元n次多项式根的圆环覆盖定理
短句来源
     The mai n conten t of this paper is to prove eight propositions of the con ti n uity of real num bers by the finite cover theorem directly。 It is not difficult to see that one of these proofs contains the equivalence of nine propositions。
     由有限覆盖定理直接证明实数连续性的八个命题,不难看出这些证明当中的一个己包含了九个命题的等价性。
短句来源
     In this paper, the authors introduce the concept of thefull cover, and prove the full cover theorem, bywhich some propositions in the differemtial calculus are proved.
     介绍了完全覆盖的概念,证明了完全覆盖定理,并用它证明了微分学中的若干命题。
短句来源
  “覆盖定理”译为未确定词的双语例句
     In chapter 3, we introduce a new family of functions with negative coefficients T(λ), 0≤λ≤1. We study coefficients estimate, distortion and covering theorems, radius of convexity and some other facts for the class T(λ).
     第三章引入一个新的负系数函数族T(λ),0≤λ≤1,对其系数估计,偏差及覆盖定理,凸半径等方面进行了研究。
短句来源
     In the second part of this paper, by using subordination relation and inequality, we introduce two sbuclasses H(λ,a,b) and f(β,A,b) of univa-lent functions with negative coefficients. We obtain their coefficient estimates, distortion properties, covering theorems and extreme points.
     第二部分分别利用微分从属关系和不等式引进了两类负实系数单叶函数族H(λ,a,b)和F(β,A,B),得到了它们的系数估计、偏差性质、覆盖定理以及极值点。
短句来源
     Based on it,a new simple method for demonstrating the approximatin characteristic of the general fuzzy system is given then.
     本文提出了一类较为一般的模糊系统 ,基于有限覆盖定理 ,对这一理论 ,提出了一种新的并且简单的证明方法。
短句来源
     In this paper, we firstly improve one of the well-known Tsuji's theorems on the simply-connected finite covering surfaces of a sphere, and make use of it to prove a basic inequality on the multiple values of algebroid function. Then, we obtain the precise results of the sequence of filling disks and Borel direction dealing with multiple values of algebroid function of positive order finite.
     本文改进了Tsuji著名的球面有限连通覆盖定理,应用它建立了关于涉及代数体函数重值的基本不等式,并由此导出了有限正级代数体函数涉及其重值的充满圆序列及Borel方向的精确结果.
短句来源
     The equivalence on the seven fundamental theorems is given by a new method in well defined order.
     从有限覆盖定理出发,按有限覆盖定理 聚点定理 致密性定理 柯西收敛准则 确界定理 单调有界定理 闭区间套定理 有限覆盖定理的顺序,证明了他们之间的等价性,从而给出等价性证明的一种新方法。
短句来源
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  covering theorem
The growth theorem and the 1/2-covering theorem are obtained for the class of normalized biholomorphic convex mappings on bounded convex circular domains, which extend the corresponding results of Sufridge, Thomas, Liu, Gong, Yu, and Wang.
      
We show that several well-known measure-theoretic propositions including the Vitali Covering Theorem are equivalent to WWKL over RCA0.
      
We establish a covering lemma of Besicovitch type for metric balls in the setting of H?lder quasimetric spaces of homogenous type and use it to prove a covering theorem for measurable sets.
      
For families of measurable functions, we introduce the notions of power decay, critical density and double ball property and with the aid of the covering theorem we show how these notions are related.
      
In the remaining two sections, we give some applications of the construction of S*-direct products for describing coextensions of regular semigroups and for providing a covering theorem for pseudo-inverse semigroups.
      
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Let s_r~*(A, B) be the class of functions f(z)=z-sum from n=k to ∞|a_n|z~nregalar in the unit disk D and satisfying z(f')/f(?)(1+Az)/(1+Bz), C_k(A, B. be the class of functions f(z)=z-sum from n=k to ∞|a_n|z~n regular in D and satisfying 1+z(f'')/(f')(?)(1+Az)/(1+Bz), where K≥2, -1≤B

Let s_r~*(A, B) be the class of functions f(z)=z-sum from n=k to ∞|a_n|z~nregalar in the unit disk D and satisfying z(f')/f(?)(1+Az)/(1+Bz), C_k(A, B. be the class of functions f(z)=z-sum from n=k to ∞|a_n|z~n regular in D and satisfying 1+z(f'')/(f')(?)(1+Az)/(1+Bz), where K≥2, -1≤B

设和,本文得到S_k~*(A,B)和C_(?)(A,B)的系数估计,偏差定理,覆盖定理和高阶导数模的估计,以及S_k~*(A,B)的凸性半径,并且证明了在条件-1≤B≤0下S_k~*(A,B)和C_(?)(A,B)的一些封闭性质,上述结果推广了V·Kumar在[2]中的所有结论。

In this note,we introduce the concept of“full covernig”,which is equivalent to Borel finite covering for describing the completeness of the real number system, and we prove various properties of continnous functions on a bounded closed set by using full covering theorem.Finally,we generalize these discussions to the case of higher dimension space.

本文引进满覆盖的概念,证明了它与有限覆盖定理的等价性,利用满覆盖定理证明有界闭集上连续函数的一些常见性质.最后,我们将满覆盖概念推广到高维空间的情况.

Little has been done on the problem of component factor covering in graphs.In this paper,the concept of proper covering with component factors is introduced,and a criterion for a graph to have proper coverings is presented.Based on this,several necessary and sufficient conditions for the existences of proper coverings with various component factors can be deduced,including Little's theorem on 1-fackor covering.

本文定义了分支因子的恰当覆盖概念,给出了图具有分支因子恰当覆盖的充要条件。应用这一结论,可以得到各种分支因子覆盖性质的刻划,其中包括Little 的关于1-因子覆盖的定理。

 
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