查询词典 be sufficient for

Economic growth may be necessary but is not a sufficient condition for the development of modern freedom.

经济增长可能是现代自由发展的一个必要而不充分的条件。

If a Supplicant comes to him withsufficient need,sufficient hunger for change – knowing how painful that change will be

但凡有人带着足够的理由，足够的渴望前来向他要求进行变异

Our main work is as follows: the stable laser mode theory in uniform plasmas is extended to non-uniform plasma cases; the discussion of the sufficient and necessary conditions for laser self-focusing in uniform plasmas is developed to non-uniform plasma cases; a quantitative approach to judge the impact of different plasma density distribution on laser self-focusing is proposed; the evolution properties of asymmetric laser filed in non-uniform and uniform plasmas are discussed and mechanisms that symmetric channel-like plasmas can confine the laser centroid around the plasma channel axes and symmetrize initially asymmetric laser beams are proposed; the formation of solitary standing wave in moderate plasma density is studied by PIC simulations and can be explained by stimulated Raman scattering of laser beams in plasmas.

主要工作为：把均匀等离子体中激光的稳定模理论推广到横向非均匀等离子体情形；把均匀等离子体中激光自聚焦的充分和必要条件的讨论推广到横向非均匀等离子体情形；给出横向密度分布不同的等离子体影响激光自聚焦的定量判据。讨论了初始不对称的激光场在横向非均匀及均匀等离子体中的演化特性，并提出了具有对称腔道结构的等离子体箍缩激光质心和对称化初始不对称激光场的物理机制。用粒子模拟讨论了激光场在等离子体中形成孤立驻波的过程，认为前向受激拉曼散射是发生此现象的可能机制。

We get the sufficient condition for the limit method to be symplectic by use of thedefinition of symplectic transformation.

波形松弛方法将最终收敛于一极限方法，我们自然要保证此极限方法是辛的。

A necessary and sufficient condition for the existence of guaranteed cost control is derived. Furthermore, it is shown that this condition is equivalent to the solvability of a system of linear matrix inequalities, and its solution provides a parameterized representation of guaranteed cost controllers. Based on that, the design of the optimal guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques.

通过采用线性矩阵不等式的方法，导出了存在保性能控制律的一个充要条件，进而，证明了该条件等价於一组线性矩阵不等式的可解性问题，并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示。

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。

In order to achieve "worry-free operation of" commitment, the company has sufficient inventory of the cash, such as FAG, SKF, INA, TIMKEN, NACHI brands such as bearings and TOHO, RHP, FYH, such as housings, the most convenient customer needs, and Professional technical personnel, marketing and customer service staff, we will be "high-quality products, professional skills, human-services" to meet every customer seriously and welcomes your presence guidance, for their valuable advice.

为了实现"无忧运转"的承诺，本公司有充足的的现货库存，如FAG，SKF，INA，TIMKEN，NACHI等品牌轴承及TOHO，RHP，FYH等轴承座，最大方便客户的需求，并有专业的技术人员，市场销售人员和客户服务人员，我们将以"优质的产品，专业的技术，胜人的服务"认真迎接每一位客户并欢迎您的光临指导，提出宝贵意见。

Moreover, a sufficient and necessary condition for an I -topological vector space to be determined by its level topological spaces is discussed.

此外，还讨论了I型fuzzy线性拓扑由其水平拓扑确定的充要条件。

The structured properties of tridiagonal inverse M-matrices are then studied in detail by using graph theory and combinatorial mathematics, and a sufficient condition for a nonnegative tridiagonal matrix to be an inverse M-inatrix is given.

第一部分分析证明了逆M-矩阵的结构特点和在Hadamard积下的封闭性；第二部分分析几类特殊矩阵的结构特点，以及它们逆矩阵的构造方法；第三部分研究对称不定矩阵秩一校正的Bunch-Kaufman分解和相应的算法。

And we obtain a necessary and sufficient condition for a trivial extension to be semicommutative ring.

得到平凡扩张是半交换环的一个充要条件。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失