查询词典 necessary and sufficient conditions

Attempted analyses of concepts in terms of necessary and sufficient conditions, even where they fail, abet discovery.

试图从必要条件和充分条件的角度来分析概念，即便失败了，也能有所发现。

In this paper, the function of regression matrix is estimated in a growth curve model, and the necessary and sufficient conditions that a linear estimator of the function is admissible among the class of all lin ear estimators under matrix loss are obtained.

摘 要：对增长曲线模型中回归矩阵的函数的线性估计进行了研究。在矩阵损失下，作者得到了线性估计在一切线性估计类中可容许的充要条件。

In the thesis , firstly the problem of static output feedback H∞control was explored for discrete time singular systems. Based on the generalized Riccati inequality and linear matrix inequality, necessary and sufficient conditions were obtained for the existence of static output feedback H∞controllers, which guarantees that the resulting closed-loop system is admissible with its transfer function matrix satisfying H∞norm constraint.

本文首先利用线性矩阵不等式和广义Riccati不等式，给出离散广义系统中存在静态输出反馈H∞控制器，使得闭环系统是容许的且其传递函数矩阵满足H∞范数约束的充要条件。

With the Ben Tal generalized algebraic operation of 2 , we obtained some necessary and sufficient conditions for the class of generalized convex programming, and the results generalize the corresponding ones for the convex Programming.

利用文〔2〕中定义的Ben－Tal广义代数运算，本文得到了这类广义凸规划的Kuhn－Tucker充分条件和必要条件，所得结果推广了通常凸规划相应的结

Necessary and sufficient conditions for the equilibrium of a coplanar system of force couples: the algebraic sum of their moments has to be zero.

平面力偶系合成结果还是一个力偶，其力偶矩为各力偶矩的代数和。

The necessary and sufficient conditions for the existence of this class of controllers are given,and the analytic expression of desired controllers is also stated.

该文基于Lyapunov稳定性理论，研究了一般的不确定线性时滞系统的鲁棒稳定控制器设计问题，给出了此类控制器存在的充要条件和解析表达式。

This paper gives necessary and sufficient conditions for the semidirect product of two semigroups to be completely Archimedean semigroups.

给出了两个半群的半直积是完全阿基米德半群的充要条件。

Virtues in Aristotelian theoretical tradition are the necessary and sufficient conditions.

亚氏意义上的德性是这种实践的充要条件。

For a given strictly proper rational function matrix over a commutative Banach algebra, the controllable, observable realizations have been constructed, the uniqueness of minimal realizations under the system equivalence has been proved, also, the necessary and sufficient conditions for decoupling have been given.

对给定的定义在交换Banach代数上的严格真有理函数矩阵，构造了可控型、可观型的实现，证明了其极小实现在系统等价意义下的唯一性；给出了交换B.fi。

In this paper,the author obtains some features of Bertrand curves such as that necessary and sufficient conditions for a Bertrand curve is curve,discusses the distance from a point of a Bertrand curve to the corresponding point of the mate of Γ,the angle of the two tangent lines and so on.

讨论了Bertrand曲线的特征，得出了诸如曲线是Bertrand曲线的充要条件，Bertrand曲线Γ上的点与其偶线上对应点的距离，以及两点切线交角等结论。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。