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a sufficient condition
相关语句
  充分条件
     A SUFFICIENT CONDITION FOR THE EXISTENCE OF LIMITING CYCLE OF THE EQUATIONS dx/dt=h(y)-F(x),dy/dt=-g(x)
     微分方程(dx)/(dt)=h(y)-F(x),(dy)/(dt)=-g(x)存在极限环的一个充分条件
短句来源
     A SUFFICIENT CONDITION FOR K-SMOOTH SPACES
     K平滑空间的一个充分条件
短句来源
     A Sufficient Condition of {f(α, n)} Which is Dense in the Range of Periodic Function f(x)
     周期函数数列{f(α,n)}稠密于值域的一个充分条件
短句来源
     A Sufficient Condition for a Finite Metacyclic Group to be Only ≡_2 Equivalent to Itself
     有限亚循环群只与自身≡_2等价的一个充分条件
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     A Sufficient Condition on the Convergence of the Rayleigh Quotient Iteration for the Computation of the Characteristic Roots of Matrices
     计算矩阵特征值的Rayleigh商迭代方法(RQI)收敛的一个充分条件
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  “a sufficient condition”译为未确定词的双语例句
     A SUFFICIENT CONDITION FOR NON-COEXISTENCE OF ONE DIMENSIONAL MULTICOLOR CONTACT PROCESSES
     A SUFFICIENT CONDITION FOR NON-COEXISTENCE OF ONE DIMENSIONAL MULTICOLOR CONTACT PROCESSES
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     this paper gives a sufficient condition for the existence of limit cycles of one kind of the second class equation of quadratic systems dxdt=-y+δx+lx~2-axydydt=x(1+ax),(a≠0).
     的基础上做了一些研究,给出了当n=0,m=-a,l-aδ≠0时,二次系统(II)类方程形式为dxdt=-y+δx+lx2-axydydt=x(1+ax),(a≠0).
短句来源
     The neutral delay differential equations with positive and negative coefficients d2 dt2 [x( t) + p( t) x( t-τ) ]+ Q1( t) x( t-σ1) - Q2 ( t) x( t-σ2 ) =0 , is studied,and a sufficient condition for the existence of a nonoscillatory solution of this equation is ob- tained.
     文章研究了具正负系数的二阶中立型时滞微分方程d2dt2 [x(t) +p (t) x(t-τ) ]+Q1 (t) x(t-σ1 ) - Q2 (t) x(t-σ2 ) =0 ,得到了该方程存在非振动解的充分性条件。
短句来源
     In this paper,the neutral delay differential equations with positive and negative coefficientsd 2dt 2[x(t)+p(t)x(t-τ)]+Q 1(t)x(t-σ 1)-Q 2(t)x(t-σ 2)=0,is studied and a sufficient condition for the existence of a nonoscillatory solution of the equation is obtained.
     研究具正负系数的二阶线性中立型时滞微分方程d2dt2 [x(t) +p(t) x(t-τ) ]+Q1 (t) x(t-σ1 ) - Q2 (t) x(t-σ2 ) =0 ,得到了该方程存在非振动解的充分性条件
短句来源
     In this paper,the neutral delay differential equations with positive and negative coefficients d 2 d t 2[x(t)+p(t)x(t-τ)]+Q 1(t)x(t-σ 1)-Q 2(t)x(t-σ 2)=0is studied,and a sufficient condition for the existence of a nonoscillatory solution of the equation is obtained.
     文章研究了具正负系数的二阶线性中立型时滞微分方程d2dt2 [x( t) +p( t) x( t-τ) ]+Q1 ( t) x( t-σ1 ) - Q2 ( t) x( t-σ2 ) =0 .   ( * )得到了方程 ( * )存在非振动解的充分性条件。
短句来源
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  相似匹配句对
     A Sufficient condition of N-L formula
     牛顿—莱布尼兹公式成立的一个充分条件
短句来源
     A SUFFICIENT CONDITION FOR D CIRCUIT
     D-闭迹存在的一个充分条件
短句来源
     A Sufficient Condition of Chaos
     混沌的一个充分条件
短句来源
     A SUFFICIENT CONDITION OF SUBNORMAL
     子正规的一个充分条件
短句来源
     A Sufficient Condition for the Codiameter
     关于余直径的一个充分条件
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  a sufficient condition
A sufficient condition for the sequence of sampling functions to constitute a frame is derived.
      
We give a sufficient condition on finite data of lengthm, or step functions determined on the intervals [k/m, (k + 1)/m) , k = 0,...,m - 1 of [0, 1), to be written as a Riesz-type product in terms of the rows of H(m).
      
Analytic functions with range included in a Banach subspace are studied and a sufficient condition for analyticity in the subspace is given.
      
In this paper, a necessary condition for a bipartite graph λKm,n to be K1.k-factorizable and a sufficient condition for kKm,n to have a K1,k-factorization whenever k is a prime number are given.
      
In this paper, a sufficient condition for boundedness and persistence of the solutions of the following delay difference equation is obtained.
      
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In this paper we have discussed the situation of the variation of the singular closed trajectories with a parameter in plane rotating vector fields. There are three sections in this paper. In section 1, the classification of singular closed trajectories is studied. In section 2, the situation of the variation of singular closed trajectories with a parameter in the rotating vector fields in which singular points do not vary with the parameter. As for any hyperbolic region of a singular point, it is shown that...

In this paper we have discussed the situation of the variation of the singular closed trajectories with a parameter in plane rotating vector fields. There are three sections in this paper. In section 1, the classification of singular closed trajectories is studied. In section 2, the situation of the variation of singular closed trajectories with a parameter in the rotating vector fields in which singular points do not vary with the parameter. As for any hyperbolic region of a singular point, it is shown that a side of a hyperbolic region will rotate contiunously when the parameter is changed in an appropriate direction. Based on the above basis, we have got a sufficient condition under which a singular closed trajectory results in the closed trajectories or singular closed trajectories. In particular, it is proved that the case when a singular limit cycle results in closed trajectories is similar to the case when a limit cycle results in closed trajectories. Besides, we also show some sufficient conditions under which the singular closed trajectory do not result in closed trajectories or singular closed trajectories. In the third section, we have discussed the situation of the motion of singular closed trajestories in the rotating vector fields where the singular point is moving with a parameter. First, We point out a necessary condition of the motion of the singular point with a parameter in the rotating vector fields, and then we prove that the singular closed trajectories in two difterent vector fields do not intersect with each other. Finally, having applied the lemma in this section, we have acquired some sufficient conditions under which a singular closed trajectory results in closed trajectories or singular closed trajectories when the singular point moves in various possible ways.

本文研究在平面旋转向量埸中,奇异闭轨线随参数变动的情况。共分三节。第一节对奇异闭轨线进行了分类,第二节是讨论在奇点不随参数移动的旋转向量埸中,奇异闭轨线随参数变动的情况,证明了对于奇点的任一双曲域,当参数向适当方向变化时,双曲域的一条侧边将连续转动。在此基础上,我们得到奇异闭轨线产生闭轨线或奇异闭轨线的一个充分条件。特别是证明了:奇异极限环产生闭轨线的情形和极限环产生闭轨线的情形极为类似,另外,还给出了一些保证奇异闭轨线不产生闭轨线或奇异闭轨线的充分条件。第三节是讨论在奇点随参数移动的旋转向量埸中,奇异闭轨线变动的情况。首先指出了在旋转向量埸中,奇点移动的必要条件,然后证明了两个不同向量埸的奇异闭轨线互不相交,最后,应用本节中的引理,我们得到当奇点作各种可能的移动时,奇异闭轨线产生闭轨线或奇异闭轨线的充分条件。

The relevant results of the recognizability of pattern sets are proved, making it clear that there exist close ties between recognizability and pattern observationand feature extraction and providing a detailed analysis of linear recognizability. A sufficient condition for the linear recognizability of a certain type of pattern set in the normal linear space is also proved with due emphasis on the significance of the investigation.

本文证明关于模式集可识别性的有关结果,说明可识别性与模式观测和特征抽取间的紧密连系,较详细的研究线性可识别性.在线性赋范空间内对某种模式集证明了一种线性可识别的充分条件,并指、出了这些研究的重要意义.

A juxtaposed groupoid is an algebraic system consisting of a set and two binary compositions such that the set together with each one of the compositions constitutes a groupoid respectively. Starting with a subset S of a juxtaposed groupoid one may generate the smallest juxtaposed subgroupoid containing S by applying the compositions over and over again. Given a mapping of S into a ring, it is proved in the paper that under certain condition the mapping may be extended to a homomorphism of the smallest...

A juxtaposed groupoid is an algebraic system consisting of a set and two binary compositions such that the set together with each one of the compositions constitutes a groupoid respectively. Starting with a subset S of a juxtaposed groupoid one may generate the smallest juxtaposed subgroupoid containing S by applying the compositions over and over again. Given a mapping of S into a ring, it is proved in the paper that under certain condition the mapping may be extended to a homomorphism of the smallest juxtaposed subgroupoid containing S. A sufficient condition for extensibility is the freeness of generation.

并立群胚是指对两个二元合成都构成群胚的集。从这个集的子集S出发,利用二元合成可以生成一个包含S的最小并立子群胚。本文讨论从S到环的已知映射在一定条件下唯一地扩张为从最小并立子群胚到环的同态映射,所需的一种充分条件是生成的自由性。

 
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