充分条件

We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

给出了n维空间中s(1≤s≤n)个代数超曲面充分相交的概念，证明了n元m次多项式空间Pm在充分相交的代数流形S=s(f1，…， fs)（f1=0，…， fs=0表示s个代数超曲面）上的维数，并利用倒差分算子给出一个方便计算的表达式；构造了沿代数流形上插值适定结点组的叠加插值法；证明了在充分相交的代数流形上任意次插值适定结点组的存在性；给出代数流形上插值适定结点组的性质和判定条件。

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。

A sufficient condition is presented for the existence of square integrable and joint continuity of its self-intersection local time.

给出了其自相交局部时平方可积和联合连续的一个充分条件，并通过对广义α-stable过程自相交局部时的H？

However, as we know, the stability condition obtained by method of linear stability is only necessary condition for stability, while subcritical instability cannot be excluded.

Xu[2]用推广的能量方法对该问题的非线性进行了研究，通过定义一个能量泛函，给出当参数时静止状态非线性稳定的充分条件。

First six chapters include theory of fields and sufficient conditions for weak and strong extrema.

第一章包括六个领域和薄弱和强大的极值充分条件的理论。

In chapter two, we study the oscillations of a kind of secon...

第三章讨论了脉冲中立型方程的振动性，通过建立一些引理，得到了方程振动的一些充分条件。

Recapitalisation is a necessary not sufficient condition for recovery, as the history of Japan shows.

就像日本的历史所显示的那样，资本重组是复苏的必要条件，而非充分条件。

Furthermore, we give a sufficient condition whenthe surface sum of Heegaard splittings is stabilized. Thin position of Heegaard splittings defined by M.

同时，本文还给出了由曲面连通和得到的Heegaard分解是可稳定化的一个充分条件。

Motivated by the i dea o f t he v ariable-structure c ontrol, t he c onception o f a pproaching region and leaving region of the switching boundary is developed. The sufficient conditions of whether sliding mode occurs or not on the switching boundary are obtained. Under the assumption of the switching delay time being positive, the sufficient conditions of quasi-sliding-mode occurring on the switching boundary are given.

受变结构控制思想的启发，提出切换线的趋近域和远离域的概念，进而得出系统在切换线上是否会发生滑动模态的充分条件。

In view of the calculation of the start-up time difference of in-lake and out-lake pumping stations on the upper and lower lakes,this article researches on the following related contents,such as the necessary and sufficient conditions of start-up of out-lake pumping station,the relation between the start-up time of out-lake pumping station and rising velocity of lake water level.

针对南水北调南四湖上、下级湖各自调水的出、入湖口提水泵站开启时间差的计算问题，开展了调水出湖提水泵站开启的必要和充分条件、出湖提水泵站开启时间和湖内水位升高速率等相关内容的研究。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！