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一个推论
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  a consequence
     The proof of formula"cosθ=cosθ_1 cosθ_2" and a consequence of it are given and parts of exam question of the College Entrance Examination in 2005 example are used to prove(explain) the utilizing of the formula.
     给出公式cosθ=cos1θcosθ2的证明和公式的一个推论,以2005年部分高考试题为例说明公式的运用。
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     It is shown that the statement about the equations of motion for a charged massive particle would be a cohsequence of the field equations in the Kaluza unified theory of gravitation and eleetromagnetism, i.e. the equations of motion for the particle could be deduced from the Kaluza field equations, just as in Einstein's theory of general relativity, the equations of motion for a massive particle would be a consequence of the Einstein equations.
     本文指出,如同在广义相对论中粒子运动方程是场方程的推论一样,在引力场与电磁场的Kaluza统一理论中,粒子的运动方程也是场方程的一个推论,即带电粒子在引力场和电磁场中的运动方程可以从Kaluza统一理论中的场方程推导出来。
短句来源
     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。
短句来源
     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.
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     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。
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  “一个推论”译为未确定词的双语例句
     SZASZ:which radical has the property I 1+I 2 = I 1+ I 2,and obtain a corollary,was solved.
     SZASZ提出的以下开问题 :哪种根性质具有I1+I2=I1+I2 ,得出了一个推论 .
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     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。
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     By introducing Fermat number,this thesis expands some outcomes on integers not of the certain forms such as ±p~a±q~b,±2~a±p~α and comes to two Theorems and one Corollary.
     通过引入Fermat数,对不具有特定形式±pa±qb,±2a±pα的整数的一些结论进行了推广,并且得出了两个重要定理和一个推论
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     Kwon's corollary on H p,γ(D) function.
     Kwon关于Hp ,γ(D)函数的一个推论 .
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     and get a corollary, if exist l∈1N, thus that Ω(f l)=Ω(f 2l ), it will conquer a knotty problem that Ω(f)≠Ω(f 2) in the study of dynamical systems.
     从而得到一个推论 ,如果彐l∈ 1N ,使得Ω(fl) =Ω(f2l) ,就能在动力系统的研究中 ,克服由于Ω(f)≠Ω(f2 ) ,所带来的棘手问题
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  相似匹配句对
     A corollary of Zorn lemma
     Zorn引理的一个推论
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     A Deduction of Equidistant Line Equation
     等距线方程式的一个推论
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     One Evening
     一个夜晚
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     A Object-Oriented Database System
     一个面向对象数据库系统
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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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It is shown that the statement about the equations of motion for a charged massive particle would be a cohsequence of the field equations in the Kaluza unified theory of gravitation and eleetromagnetism, i.e. the equations of motion for the particle could be deduced from the Kaluza field equations, just as in Einstein's theory of general relativity, the equations of motion for a massive particle would be a consequence of the Einstein equations. Furthermore, the Lorentz equations for a particle moving in the...

It is shown that the statement about the equations of motion for a charged massive particle would be a cohsequence of the field equations in the Kaluza unified theory of gravitation and eleetromagnetism, i.e. the equations of motion for the particle could be deduced from the Kaluza field equations, just as in Einstein's theory of general relativity, the equations of motion for a massive particle would be a consequence of the Einstein equations. Furthermore, the Lorentz equations for a particle moving in the Maxwell electromagnetic field in Minkowskian space-time could also be obtained from the Maxwell equations by using the Kaluza formalism of Maxwell theory.

本文指出,如同在广义相对论中粒子运动方程是场方程的推论一样,在引力场与电磁场的Kaluza统一理论中,粒子的运动方程也是场方程的一个推论,即带电粒子在引力场和电磁场中的运动方程可以从Kaluza统一理论中的场方程推导出来。本文进而在Minkowski时空的条件下,借助Maxwell理论的Kaluza形式,得到Maxwell方程也包含了带电粒子运动方程的结论。

In the form of mathematical analysis, this article presents two distribution rules for and a corollary on the front view of a particular point (right-most or left-most point) on the intersection curve of two double-curved revolving surfaces with their axes intersecting.On this basis a graphical method of the solution of several particular points is discussed.

本文以解析形式,对两二次回转曲面轴线相交相贯线特殊点(最右或最左点)的正面投影,提出了两个分布规律和一个推论;并以此为依据,研讨了几种特殊点的图解方法.

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。)

 
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