查询词典 generalized continuum hypothesis

Some necesarry and sufficient coditions for generalized diagonal dominance for matrices are discussed by using the determinant and the closed convex cone generated by matrices column vectors. This paper, thus provides some new methoods for determining the generalized diagonal dominance in matrices.

利用矩阵的列向量所生成的闭凸锥及矩阵的行列式来讨论其行广义对角占优的若干充要条件，为判别矩阵是否为广义对角占优提供若干新方法。

The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition at the corner point.

在分析角点求解条件完备性的基础上将矩形板弯曲划分为广义静定问题和广义超静定问题。

The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition at the corner point. The former can be solved directly by the equilibrium differential equation and the boundary conditions of four edges of the plate.

在分析角点求解条件完备性的基础上将矩形板弯曲划分为广义静定问题和广义超静定问题，广义静定弯曲可以由板的平衡微分方程及四边边界条件直接求解，广义超静定弯曲可以由叠加法求解。

The generalized correlation ratio is the proportion between the generalized related credits and the net capital, and shall not be higher than 50%.

全部关联度为全部关联授信与资本净额之比，不应高于50%。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

By using this method, the angular frequency, amplitude, initial phase angle, decay constant of each component in transient voltage and/or current waveforms can be precisely extracted. Also, all other kinds of transient procedure can be analyzed by this method. Thirdly, a new definition of generalized instantaneous reactive power and generalized instantaneous reactive current in dq0 coordinates under any nonsinusoidal and unbalanced three-phase circuit is proposed for the first time. The detection and compensation method for different instantaneous reactive currents are also concerned.

本文首先提出了用于快速高精度频谱分析的一种改进快速傅立叶变换方法，该法具有速度快、精度高、抗混迭、不受采样定理约束、可以分析出谐次大于N／2的频谱系数等特点，可方便地应用于电力系统谐波分析及其它各类频谱分析；然后提出了基于非线性最小二乘优化法的电力系统暂态波形分析方法，可准确求出电力系统暂态电压、电流波形中各个分量的角频率、幅值、初相角及衰减常数，并可广泛应用于各类暂态过程波形分析。

Furthermore, a Maple program is designed to verify the validity of the autocorrelation.(2). Based on Whiteman\'s generalized cyclotomy, new binary generalized cyclotomic sequences of order 2~k and length pq are constructed.

构造了一类平衡的新的六次剩余序列，分别利用多项式分解理论和迹函数表示确定了该类序列的线性复杂度和极小多项式，给出了序列的自相关函数值并编制Maple程序验证该结果的正确性，讨论了序列的稳定性。

At least in the beginning of 21 century Logic Study will focus on the following topics: common sense inference which is paraconsistent, nonmonotonic and defeasible; generalized inductive inference and inductive logic; generalized intentional logic, especially epistemic logic; natural language understanding and logic of natural language.

如何使机器人具有人的创造性智能，如从经验证据中建立用于指导以后行动的可错的归纳判断？（3）如何进行知识表示和知识推理，特别是基于已有的知识库以及各认知主体相互之间的知识而进行的推理？（4）如何结合各种语境因素进行自然语言理解和推理，使智能机器人能够用人的自然语言与人进行成功的交际？等等。

In chapter one, firstly, we introduce the properties of αdiagonally dominant matrix and some exists determination conditions of generalized strictly diagonally dominant matrix, then we give some new results for the criteria of generalized strictly diagonally dominant matrix, finally, we show the validity of these conclusions.

在第一章中，首先引述了α-对角占优矩阵的性质及已有的一些判定条件，给出了判定广义严格对角占优矩阵的几个新的结论，最后说明了这些结论的有效性。

In chapter three, at first we introduces two kinds locally double αdiagonally dominant matrix from the concept of αdiagonally dominant matrix, by using this conception and the properties of αdiagonally dominant matrix and the techniques of inequalities, we discuss the relation of locally double αdiagonally dominant matrix and generalized strictly diagonally dominant matrix, according to these relations we obtain some effective criteria for generalized strictly diagonally dominant matrix.

在第三章中，首先由α-对角占优矩阵的定义，引进了两类局部双α对角占优矩阵，并利用它们及α-对角占优矩阵的性质，结合放缩不等式的技巧，讨论了局部双α对角占优矩阵与广义严格对角占优矩阵的关系，并由此得到判定广义严格对角占优矩阵的几个实用准则。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。