查询词典 necessary and sufficient conditions

In chapter 4, we study c-section of maximal subgroups, and get some necessary and sufficient conditions on solvability of finite groups.

第四章我们研究了极大子群的c-截断，给出了几个关于群的可解性的充要条件。

This paper discusses the influence of the θ-pairs associted to a famity of special maximal subgroups of a group on the group and establishes some necessary and sufficient conditions for a group to be solvable .

讨论有限群的一类特殊极大子群的θ-子群偶对该群可解性的影响，得到若干充要条件，推广了该方面已有的一些结论。

At present, for the linear mixed model with two variance components, literatures only discuss the necessary and sufficient conditions for the spectral decomposition esti-mators are equivalent to ANOVAE.

一般情况下，混合模型的方差分量都是非负的，因此方差分量的估计也应该是非负的才是合理的估计。

By using the theorem of alternative,we obtain the necessary and sufficient conditions for strong efficient solutions to be the generalized saddle point in vector optimization problems with set-valued maps under the assumption of nearly cone-subconvexlikeness.

Yang[1]引进了近似锥-次类凸集值映射的概念，其他广义凸集值映射都是它的特殊形式。最近，Sach[2]在集值优化问题中引进了一种广义鞍点，通常的Lagrange泛函的鞍点是它的一种特殊形式。

Necessary and sufficient conditions for equalities between a 2 y′y and minimum norm quadratic unbiased estimator of variance under the general linear model, where a 2 is a known positive number, are derived.

给出了一般线性模型下方差的最小范数二次无偏估计相等的充要条件，并且当高斯马尔可夫估计与最小二乘估计相等时，获得了一个相对简单的条件，最后给出此条件应用于抽样调查的一个例子。

In Chapter 2, the Balanced LS Estimation is defined for the linear model when its error covariance is positive definite or singular. The new estimation as well as the necessary and sufficient conditions is gained for its unbiasedness, efficiency and admissibility.

第2章提出了一般线性回归模型和奇异线性回归模型平衡LS估计的概念，得到回归系数β的平衡LS估计，进而探讨了这种估计的无偏性、有效性和可容许性。

This paper gives the necessary and sufficient conditions for distribution independent uniform convergence for real valued functions.

文章中充分的提到实函数之均匀收敛定理独立分类的必要及充份条件。

A survey of duadic codes is presented firstly, necessary and sufficient conditions for the existence of nontrivial duadic abelian codes over Z_4 are presented secondly.

文中首先综述duadic码；其次给出了Z4上存在非平凡duadic阿贝尔码的充分必要条件；最后给出了Z4上劈分为μ-1的非平凡duadic阿贝尔码存在的充分必要条件，这些条件也是存在Z4上非平凡自偶阿贝尔码的充分必要条件。

Obtain the necessary and sufficient conditions of ergodic and exponentially ergodic properties for the population process.

给出了人口过程遍历性与指数遍历性的充分必要条件。

The concept of harmonic control between two systems is presented. Necessary and sufficient conditions are given for harmonical stabilization of two systems. These results can be generalized to harmonic stability problems for more than two systems. Examples are given to illustrate the results.

摘要提出了两个系统协调控制的概念，主要研究了不同系统间的互助合作问题，给出两个系统间可协调稳定的充要条件及构造协调控制律的算法，并举例说明了所给结果的有效性，这些结果都可以向多系统协调稳定问题推广。

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％。