查询词典 sufficient condition

Missirlis in article [1]. At the same time, a sufficient condition for convergence of the PSD method is given to be compared when the coefficient matrix A of the linear system Ax = b is a symmetric, positively defective matrix. In §3.2, an example is given to state that the range of our sufficient condition is wider than theorem 3.3 of article [1]. On the other hand, following a.n analogous approach of [14] and starting the functional relationshipwe have a perfect analysis for the PSD method to converge and optimum valves for the involved parameters under different conditions.Under the assumptions that A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are real,we get necessary and sufficient conditions for the PSD method to convergence.The result is equal to theorem 1 of article [9].Under the same condition, we can see the optimal parameter and of corresponding spectral radius of thePSD method in [8]:(2)When A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are imaginary or zero,we get necessary and sufficient conditions for the PSD method to convergence.In chapter 3, the optimal parameter and of corresponding spectral radius of the PSD method are given by table 3.3. Moreover, under the assumption 0

Missirlis在文献[1]中定理3.3的不准确，同时给出了当线性方程组Ax=b的系数矩阵A为对称正定阵时，PSD迭代法收敛的一个充分条件与之比较，并且在§2.3中用实例说明了对于一部分矩阵而言本文得到的充分条件广于[1]中定理3.3的充分条件；另一方面，按照文献[14]的方法，我们从PSD迭代法的特征值λ与其Jacobi迭代矩阵B的特征值μ的关系式：出发，在不同条件下对PSD迭代法的收敛性和最优参数以及最优谱半径进行了完整的分析：(1)在系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为实数的条件下，给出了PSD迭代法收敛的充分必要条件，此结果与[9]中的定理1等价，此时最优参数及最优谱半径由[8]得：(2)第三章表3.3中给出了，当系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为纯虚数或零时的PSD迭代法的收敛范围和最优参数，并且我们可以得到当0

If ris also irreducible in Z_nand f~n~κ≡fmodn,r(xfor all f∈Z_nthen we call n a Carmichael number of orderκmodulo r.Denote the set of all such numbers by C_κ,r(x.Define C_κ=∪_r(xC_κ,r(x,where rpasses through all monic irreducible polynomials over Z of degreeκ.We call elements of the set C_κCarmichael numbers of orderκ.ZHU and SUN[Journal of Sichuan University,42;1(2005), 47-51]first gave a necessary condition for Carmichael numbers of order 3.Then they gave a sufficient condition for Carmichael numbers of order 3,but did not find any such numbers less than 10~8 satisfying the sufficient condition.At last,they asked three questions;1.is the necessary condition also sufficient?

f∈Z_n，就称n是模r的κ阶Carmichael数，用C_κ，r(x表示所有这种数的集合，定义C_κ=∪_r(xC_κ，r(x，这里r跑遍Z中所有κ次首一不可约多项式，C_κ里面的元素就称为κ阶Carmichael数，C_κ称为κ阶Carmichael数集，朱文余和孙琦[四川大学学报，42；1(2005)，47-51]首先给出了3阶Carmichael数的一个必要条件；然后又给出了这种数的一个充分条件，并发现10~8内没有满足此充分条件的这种数；最后他们提出三个问题；一、问必要条件是否也是充分的？

Based on the existed theory of mareoids and fuzzy matroids, this thesis studies the closed regular fuzzy matroid and its fundamental sequence, the fuzzy base and its algorithm of closed fuzzy matroids, the fuzzy circuit and its algorithm of closed fuzzy matroids and so on. The main contributions of this thesis are as follows: 1 The necessary and sufficient condition of closed regular fuzzy matroid and a property of its fuzzy dual matroid are found by studying some properties of closed regular fuzzy matroid. 2 By studying some properties of fuzzt bases of closed fuzzy matroid, the necessary and sufficient condition of judging fuzzy bases of closed fuzzy matroids and some corollaries are found. In the end, an algorithm of obtaining a fuzzy base is given. 3 By studying some properties of fuzzt circuits of closed fuzzy matroid, some necessary and sufficient conditions of using its fundamental sequence to express fuzzy circuits are found. An algorithm of obtaining a fuzzy circuit is given. 4 By studying the fundamental sequence of closed regular fuzzy matroid, some necessary and sufficient conditions of fundamental sequence of closed regular fuzzy matroid are found.

本文在现有拟阵和模糊拟阵理论的基础上，研究了闭正规模糊拟阵及其基本序列，闭模糊拟阵的模糊基及算法、模糊圈及算法等内容，现分述如下： 1研究了闭正规模糊拟阵的一些性质，得到了闭正规模糊拟阵的充要条件及其模糊对偶拟阵的一个性质； 2研究了闭模糊拟阵模糊基的性质，找到了闭模糊拟阵模糊基的充要条件和几个推论，最后还给出了求模糊基的算法； 3研究了闭模糊拟阵模糊圈的性质，找到了用基本序列来表达模糊圈的几个充要条件，并给出了求模糊圈的算法； 4研究了闭正规模糊拟阵的基本序列，找到了闭正规模糊拟阵的基本序列的几个充要条件。

So, on node of a certain time, when male in the extreme of sufficient expressional how terrible, and when the behavior of itself of numerous team member and moral personal integrity are denounced ceaselessly, the public opinion of the mainstream begins to change direction, from protection turns to caution, criticism is severity even to censure, china male sufficient people muddled however like that sealed, think the public temporarily mood abreacts just, what they do not know is, effect is shown to fall in what destroy window effect, a wave of terrible opposite public opinion is being formed -- published to be aimed at when some media or cacique of a certain opinion male sufficient sharp criticism, and draw the netizen's resonance and response when, more more media, opinion cacique, countless netizens begin to be joined from each angle critically male in sufficient tide, male sufficient mad tide begins initiative form.

所以，在某个时间节点上，当男足的表现糟糕透顶，且众队员本身的行为与道德操守不断受到诟病时，主流的舆论开始转向，从保护转向警示、批评甚至是严厉的指责时，中国男足们却懵然未知，以为公众一时的情绪发泄而已，他们不知道的是，在破窗效应的显效下，一个可怕的反面舆论浪潮正在形成——当某家媒体或某个意见领袖发表了一篇针对男足的强烈批评，并且引来网民的共鸣与回应时，更多的媒体、更多的意见领袖、无数的网民开始从各个角度加入到批判男足的浪潮中，倒男足的狂潮开始自发形成。

Draw lessons from increment type observation implement with PI condition observation implement research achievement, combine heat to dominate a field complex control system designs bunchy form normally the actual condition of regulating system, offer observation of function of PI of increment style broad sense implement and the concept that its condition feedbacks, the tectonic regulating system that cluster form and observation implement feedback of shirt-sleeve broad sense condition controls a system, learn an analysis through number, give out the sufficient condition of IFO-PIO/BS reachs his corresponding theorem and deductive proof, announce give this to controlled systematic equivalence to be had at IFO-PIO/BS change the function that gain condition feedbacks.

借鉴增量式观测器和PI状态观测器的探究成果，并结合热控领域复杂控制系统通常设计成串级调节系统的实际情况，提出增量式广义PI函数观测器及其状态反馈的概念，构造串级调节系统和观测器相融合的广义状态反馈控制系统，通过数学分析，给出IFO-PIO/BS的充分条件及其相应定理和推论的证实，揭示出该控制系统等价于IFO-PIO/BS具有了变增益状态反馈的功能。

Chapter2, mainly summarizing the optimality conditions for the nonconvex semidefinite programming, first recalls the concept of transversality condition, proves that transversality condition and linear independence condition are equivalent, and shows that under strict complementarity condition, the transversality condition is a sufficient condition for uniqueness of the Lagrange multipliers.

第2章，主要综述非凸半定规划的最优性条件，首先回顾了横截性条件的概念，证明了横截性条件与线性无关条件是等价的。并且说明了在严格互补松弛条件下，横截性条件是Lagrange乘子矩阵唯一的充要条件。

Through the photographic technology of fisheye lens and achieved the space image of cotton canopy structure distributing at different condition, and setupped cotton canopy structure base after image analysis. The experiment results indicated that the adaptability of different varieties to plant density is different, reasonable plant density is benefit to the raise of varieties product, and Xinluzao10 is better at high density（225000plant/ hm2） condition and Xinluzao12 is better at mid-high density（150000 plant / hm2） condition. For different nitrogen, Xinluzao10 is better at right nitrogen application amount（600 kg/ hm2） condition and Xinluzao12 is better at mid-high amount（900kg/ hm2）condition. For different irrigation, Xinluzao6 and Xinluzao12 is better at limited drip irrigation amount（1500 m3/ hm2） condition and Xinluzao8 Xinluzao13 is better at right drip irrigation amount（3000 m3/hm2） condition.

利用鱼眼镜头照相技术获取了不同处理棉花冠层分布空间图象，对图像进行处理分析，建立了棉花冠层图像库及分析诊断指标，研究结果表明，不同品种对种植密度适应性不同，合理的配置种植密度有利于品种的产量潜力的挖掘，高密（225000plant/ hm2）条件下选择新陆早10号、中高密（150000 plant / hm2）条件下选择新陆早12号栽培种植较为适宜；对于不同氮肥用量，适量氮肥用量（600 kg/ hm2）条件下选择新陆早10号、中高氮肥用量（900kg/ hm2）条件下选择新陆早12号较为适宜；对于不同灌水量，限量滴灌（1500 m3/ hm2）条件下选择新陆早6号、12号种植较适宜，适量滴灌（3000m3/hm2）条件下选择新陆早8号、13号种植较适宜。

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

Insist to use hot bath sufficient can break up algidity, warm whole body; Blood of stimulative the whole body circulates, eliminate exhaustion in time; After moving in the morning, wash with hot water sufficient can powerful body of be good at head, wash with hot water before night retire for the night sufficient can rise Morpheus Quality; Iron with hot water sufficient still be helpful for treating ringworm of the foot.

坚持用热水洗足可以驱散寒气，温暖全身；促进周身血液循环，及时消除疲劳；早上运动之后用热水洗足可以健脑强身，夜晚就寝以前用热水濯足可以提高睡眠质量；用热水烫足还有利于治疗脚癣。

should take seriously in diabetic education diabetic sufficient precaution protects manage education, enhance a patient to be opposite the protective consciousness of sufficient ministry, the educational guidance strength of knowledge of appropriate to choice, dress footgear in increasing pair of diabetics to nurse in sufficient ministry, in order to decrease diabetic sufficient happening.

在糖尿病教育中要重视糖尿病足的预防护理教育，增强患者对足部的保护意识，加大对糖尿病患者在足部护理中对选择、穿着合适鞋袜知识的教育指导力度，以减少糖尿病足的发生。

Now he worked in ajoint venture.

现在他在一家合资企业工作。

More troops in Afghanistan won't change any of the foregoing.

更多的在阿富汗的军队也不会改变之前的状况。