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一个推论
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  a consequence
    As a consequence, we give an other proof of the Bergman's conjucture answered by Cohen and Montgomery.
    作为一个推论,得到已被Cohen和Montgomery证实的Bergman猜想的另一个证明。
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    In this paper we prove that complete Riemannian manifolds have the closed cut space. This result not only answers question 1.6 which is proposed by Duan Haibao in and improves his main result (, theorem 1.3), but also as a consequence the generalization of the classical Borsuk-Ulam theorem is obtained.
    本文证明了完备的Riemann流形即拥有闭的割空间(cutspace),这一结论不但完满解答了段海豹在[1]中提出的问题1.6,大大地改进了他的主要结果([1],定理1.3),而且作为一个推论,我们还得到了经典Borsuk-Ulam定理的一个进一步推广.
短句来源
    As a consequence, simple explicit formulas for prices of perpetual American call (put) options are obtained for a Lévy process with positive (negative) mixed-Gamma and arbitrary negative (positive) jumps.
    作为上述结论的一个推论,对于带有正(负)混合伽马跳跃和任意负(正)跳跃的Lvy过程,给出了永久看涨(看跌)美式期权价格的闭形式解和最优执行时间。
短句来源
  “一个推论”译为未确定词的双语例句
    A corollary of Zorn lemma
    Zorn引理的一个推论
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    Therefore, for a non-expansive mapping, the sufficient condition R ( X ) < 2, which was obtained by Garcia-Falset, is clearly a corollary of this result.
    于是非扩张映射的不动点问题中的Garcia-Falset找到的充分条件R ( X ) < 2便成了我们得到结果的一个推论.
短句来源
    In this note, we show that if a∈(1/2,1), then is a meromorphic starlike function of order αin Δ.
    本文得到,若α∈(1/2,1),则g(ζ)※ζ~2ψ(1/ζ)(|ζ|>1)为α级亚纯星形函数,作为这个结果的一个推论,文[4]中的猜测在α∈(1/2,1)内成立。
短句来源
    Let A=U∑1UH and B = V∑2VH be spectral decompositions. Then holds. One corollary improves a known result partly.
    设A=U∑1UH和B=V∑2VH是谱分解,则v(A,B)一个推论部分地改进了已知的结果。
短句来源
    Based on this inferred consequence from them, the paper shows us that any finite set A of nonzero elements being characterized by 0 contains a sum-free subset B, with |B|>13|A|.
    作为它们的一个推论,证明了特征为零的任何非零元素的有限集合都包含一个sum-free子集B,|B|>13|A|.
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  a consequence
As a consequence, the action is linearizable if certain topological conditions are satisfied.
      
As a consequence, we obtain that determinantal varietes degenerate to (normal) toric varieties.
      
As a consequence we prove a recent conjecture of Lusztig (see [L1]).
      
As a consequence, there is either a unique set, or an (almost) unique two-parameter set of Weyl group invariant quantum zonal spherical functions associated to an irreducible symmetric pair.
      
As a consequence we obtain results about injectivity of the spherical mean operator in the Heisenberg group and the complex Radon transform.
      
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A graph G is called an(1, d)-graph(with respect to edges),if d(G-E)≤d, for each EE(G)such that |E|≤1-1.The l-diameter-stable graphs are(1,d)- graphs with diameter d.These two concepts were first proposed by J.Hartman and I.Rubinin[1].The line-persistence of a graph,ρ_1(G),is the minimum number of edges which must be removed in order to increase the diameter of G or yeild a totally disconnected graph.This concept was first proposed by Frank T.Boesch,FrankHarary and Jerald A.Kabellin[2].In this paper,some fur-...

A graph G is called an(1, d)-graph(with respect to edges),if d(G-E)≤d, for each EE(G)such that |E|≤1-1.The l-diameter-stable graphs are(1,d)- graphs with diameter d.These two concepts were first proposed by J.Hartman and I.Rubinin[1].The line-persistence of a graph,ρ_1(G),is the minimum number of edges which must be removed in order to increase the diameter of G or yeild a totally disconnected graph.This concept was first proposed by Frank T.Boesch,FrankHarary and Jerald A.Kabellin[2].In this paper,some fur- ther results on diameter-stable graphs are obtained,and the relation between diameter-stable graphs and line-persistence is indicated.Finally,with the appli- cation of a lemma and a corollary,we have given the constructions of some fa- milies of l-diameter-stable graphs,and the two open problems proposed by Har- tman and Rubin in[1]are thus solved.As a result,these families of l-diameter- stable graphs have indicated the incorrectness in the two theorems on line- persistence given by Boesch,Harary and Kabell in [2].

一个图 G 称为是一个(l,d)——稳定图(关于边的),如果对于 G 的边集 E(G)的任意一个子集 E,只要满足 E 中的边数≤l-1,都有图 V-E 的直径 d(V-E)≤d。(这里 l,d 都是正整数)。如果更有G 的直径 d(G)=d,则称 G 为 l 直径稳定图。一个图 G 的边直径稳定度(line-persistence)ρ_1(G)是为了要使得在 G 中去掉一些边后所得到的图 G′的直径 d(G′)>d(G)或者使 G′不连通所必须去掉的最少边数。(l,d)——稳定图和 l 直径稳定图的概念是首先由 J.Hartman 和 I.Rubin 于1956年在[1]中提出的。直径稳定度的概念是由 F.T.Boesch;F.Harary 和 J.A.Kabell 于1981年在[2]中首先提出的。本文对直径稳定图和边直径稳定度作了进一步的考察,得到了一些关于直径稳定图的结论,并初步讨论了直径稳定图和边直径稳定度之间的关系,最后,通过一个引理和一个推论给出了几个 l 直径稳定图族,从而解决了 Hartman 和 Rubin 在[1]中提出的两个问题,同时所给出的图族证明了 Boesch;Har...

一个图 G 称为是一个(l,d)——稳定图(关于边的),如果对于 G 的边集 E(G)的任意一个子集 E,只要满足 E 中的边数≤l-1,都有图 V-E 的直径 d(V-E)≤d。(这里 l,d 都是正整数)。如果更有G 的直径 d(G)=d,则称 G 为 l 直径稳定图。一个图 G 的边直径稳定度(line-persistence)ρ_1(G)是为了要使得在 G 中去掉一些边后所得到的图 G′的直径 d(G′)>d(G)或者使 G′不连通所必须去掉的最少边数。(l,d)——稳定图和 l 直径稳定图的概念是首先由 J.Hartman 和 I.Rubin 于1956年在[1]中提出的。直径稳定度的概念是由 F.T.Boesch;F.Harary 和 J.A.Kabell 于1981年在[2]中首先提出的。本文对直径稳定图和边直径稳定度作了进一步的考察,得到了一些关于直径稳定图的结论,并初步讨论了直径稳定图和边直径稳定度之间的关系,最后,通过一个引理和一个推论给出了几个 l 直径稳定图族,从而解决了 Hartman 和 Rubin 在[1]中提出的两个问题,同时所给出的图族证明了 Boesch;Harary 和 Kabell 在[2]中所给出的一个关于边直径稳定度的“定理”是不正确的。(注:此“定理”有两种“等价”的叙述方法,本文所给出的图可作为这两种叙述的反例。)

This paper takes the large prime numbers as a module, the primitive roots of the module will be multiplicator and introduced concepts of Bands and Quasi-Symmetrical Distribution. Based on the distribution graphs of the pseudorandom points are generated by the multiplication congruential method gives nine distribution theorems and a deduction. Therefore, this paper will creat conditions for studies in connection with the pseudorandom points and get more simple and pricise deviation expression of the pseudorandom...

This paper takes the large prime numbers as a module, the primitive roots of the module will be multiplicator and introduced concepts of Bands and Quasi-Symmetrical Distribution. Based on the distribution graphs of the pseudorandom points are generated by the multiplication congruential method gives nine distribution theorems and a deduction. Therefore, this paper will creat conditions for studies in connection with the pseudorandom points and get more simple and pricise deviation expression of the pseudorandom numbers.

本文在以大素数为模,该模的原根为乘子的前提下,从乘同余法生成伪随机点的分布图出发,引入“带”和“准对称分布”等新概念,得到九个伪随机点的分布定理和一个推论。为与此有关的研究及得到高精度的伪随机数偏度公式创造了条件。

In this paper, we prove an important theerem with the holp of two weaker conditions, that determine the fundamental groups of the topological space, and obtain a reasoning of the theorem 1. Besides, we indicate also that relation of homotopy equivalence is more general than the notion of deformation retraction with weaker condition.

本文以两种较弱条件证明决定拓扑空间基本群的一个重要定理(定理1和定理2),并得到定理1的一个推论。此外,我们还指出同伦等价关系比较弱条件的形变收缩核的概念更为一般。

 
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