英汉例句

• a necessary and sufficient condition for the correct formulation of boundary integral equations of harmonic functions is established in the present paper.

  本文以调和函数的边值问题为例，探讨了边界积分方程的充要条件。

• in this paper, we get the diameter of three kind of self-complementary and then give a necessary and sufficient condition from matrix adjacency when the diameter is 2 or 3.

  本文给出了三种类型的自补图关于直径方面的结果，并从自补图的邻接矩阵给出了自补图直径为2或3的一个充要条件。

• a necessary and sufficient condition for nonlinear systems to achieve optimal regulator is given by using the return difference condition and completion of the squares argument.

  利用返回差条件，借助配方方法讨论非线性系统达到最优调节所必须满足的充要条件。

• in this paper, the generalized vector composite formulas are proved by the mapping method of complex function, and a necessary and sufficient condition that can be used easily is proved too.

  本文用复变函数论的映射方法证明了一个普遍意义的矢量性物理量的合成公式，并证明了一个易于判定的充要条件。

• this paper examines port queuing system with single berth. for its imbedded markov chain, the author gives a necessary and sufficient condition under which the system is ergodic.

  港口系统排队模型由两个排队子系统构成。本文对单个泊位（服务台）的情形讨论了它的嵌入马氏链，给出了系统遍历的充分必要条件。

• in this paper, green「s formula is extended to nonsmooth functions. a necessary and sufficient condition about green」s formula is gained.

  把格林公式推广到非光滑函数，得到了格林公式成立的充分必要条件。

• the question as to whether binarity is a necessary and sufficient condition to produce barium star is addressed.

  讨论了双星是否是产生钡星的必要和充分条件，因为已知道的钡星系统全是双星。

• this paper gives a necessary and sufficient condition for the semidirect product of two semigroups which are not monoids to be a left clifford semigroup.

  给出了两个一般的即未必含有单位元的半群的半直积和圈积是左群的充分必要条件，并讨论了左群的最小群同余与半直积的最小群同余之间的关系。

• firstly, a necessary and sufficient condition of regional stable for the closed-loop system is introduced.

  首先，区域稳定的必要和充分条件闭环系统的介绍。

• two kind of linear representations of the generalized quaternion algebras are given, and a necessary and sufficient condition about the isomorphism of two generalized quaternion algebras is obtained.

  给出了广义四元数代数的两种线性表示，导出了两个广义四元数代数同构的充要条件；推出了广义四元数矩阵乘法的可易性。

• a necessary and sufficient condition for the operators with spectrum consisting of finite eigenvalues which are poles of finite rank except for zero is established in this paper.

  本文给出了谱为有限个本征值的算子其非零本征值为有限秩极点的一个充要条件。

• based on darboux theory, this paper discussed the integrability of the riemann integral and provides a necessary and sufficient condition for integrability.

  文章利用达布和理论，讨论了黎曼积分的可积性问题，给出了一个可积的充分必要条件。

• a necessary and sufficient condition that the related difference converges uniformly to zero on the boundary of the equiconvergence area is also showed.

  此外还指出有关的差在过收敛区域的边界上一致收敛的充分必要条件。

• by using the generalized vadermonde matrix, we obtain a necessary and sufficient condition to judge the existence of the osculatory rational interpolating function and give its representation formula.

  在此基础上借助于广义范德蒙矩阵，得到了切触有理插值存在性的充分必要条件。

• this paper gives a necessary and sufficient condition for a class of large scale systems to be stabilized by local state feedback.

  本文给出了一类线性定常大系统可局部镇定的充要条件。

• in this paper, we discuss when a quartic equation has no real roots, and obtain a necessary and sufficient condition on a quartic equation which has no real roots.

  本文讨论了一元四次方程无实根的一些充分、必要条件，并得到了一元四次方程无实根的一个充要条件。

• wehave determind completely these representations. using this result, we gave a necessary and sufficient condition about the problem of the isomorphism of two generalized quaternion algebras.

  利用这一结果，给出了两个广义四元数代数同构的一个充分必要条件。

• based on the specific relations of graphs and line graphs, a necessary and sufficient condition of square root graphs is obtained.

  应用图与线图之间的特定联系，得出了平方根图的一个充要条件，进一步完善了平方根图的刻画。

• a necessary and sufficient condition for the solution of the optimal model is proved, and therefore the strategy of bank to achieve maximum profit is given.

  为此，根据企业利润最大化原则建立机组经济运行数学模型，并用改进粒子群算法对模型优化求解。

• for global consistency judgment problem in ahp, a necessary and sufficient condition that the satisfy global consistency is true was provided.

  针对层次分析法（ahp）中下层存在不满足满意一致性条件判断矩阵的整体一致性判别问题，提出了具有满意一致性的充要条件。

• finally, an iterative learning algorithm was presented for a mimo linear time-varying system in the paper and a necessary and sufficient condition for the existence of convergent algorithm was proved.

  最后文章针对多输入多输出线性时变系统提出了一种迭代学习控制算法，证明了算法收敛的充分必要条件。

• in this short poper, the regularizability of descriptor decentralized systems is studied and a necessary and sufficient condition is given.

  本文主要研究了广义分散控制系统的正则性，并给出了可以正则化的一个充要条件。

• a necessary and sufficient condition for an inner set space with three critical sets which can be weighted is also given.

  给出了具有三个临界集的内集空间可以赋权的一个充分和必要条件。

• in this paper, the special annihilator set of r is introduced, and a necessary and sufficient condition on the k(?)

  本文引入特殊零因子点集的概念，给出了环成立k（?）

• in this paper, we give a necessary and sufficient condition that closed decomposable operator, is strongly decomposable.

  本文给出了封闭可分解算子是强可分解的一个充分必要条件。

• a necessary and sufficient condition for the direct theorem of the derivatives of positive linear operators is given.

  给出了正线性算子导数正定理成立的充要条件，并证明了逆定理。

• by lattice-theoretic methods we give a necessary and sufficient condition for a continuous mapping with the codomain t_3 to be extended continuously from a dense subspace to the whole space.

  本文采用格论方法研究拓扑学中连续映射的扩充问题，给出陪域为t＿3空间时连续映射扩充的充要条件。

• the paper presents a necessary and sufficient condition for topological dynamical system to be topologically conjugate with a generalized symbolic dynamical system.

  本文证明了，拓扑动力系统与广义符号动力系统拓扑共轭的一个充分必要条件。