查询词典 lemma

In the second chapter, the problem of the optimal inputting rate control for a class of competitive population dynamics system with age-structure is discussed. By means of characteristic line, Gronwall Lemma, Bellman Lemma, adjoint system and so on, the Lipschitz continuity properties of the system in terms of the control variable is certificated, and the necessary condition of the optimal control is obtained.

第二章讨论了一类具有年龄结构的竞争种群系统最优输入率控制问题，综合应用特征线法，Gronwall引理，Bellman引理，共轭系统等知识，证明了系统解关于控制变量的Lipschitz连续性，给出了控制为最优的必要条件。

In this project, we have tackled the robust fault detection and diagnosis problem for affine nonlinear sampled-data systems based on nonlinear H∞ filtering theory,and focused on the design of robust fault dtetction filter. The main contribution of this project is that we (1)present design methods of robust fault estimator for nonlinear discrete-time systems based on least square estimation and linear matrix inequality;(2)improve the bounded real lemma of systems with finite discrete jumps;(3)develop the robust fault detection filters for affine nonlinear sampled-data systems with parameter uncertainties based on the improved bounded real lemma.

本项目以提高故障的正确检测率为目的，以非线性H∞滤波理论为基础，对不确定仿射非线性采样系统的鲁棒故障检测与诊断问题进行了研究，重点研究了不确定仿射非线性采样系统的鲁棒故障检测滤波器设计问题，取得了一些新的成果，主要成果有：(1)基于最小二乘估计和线性矩阵不等式，给出了非线性离散系统的鲁棒故障估计器设计方法；(2)改进了有限跳跃点系统的有界实引理；（3）基于改进的有界实引理，给出了不确定仿射非线性采样系统的鲁棒故障检测滤波器的设计方法。

Generalized strong vector variational-like inequalities; Minty's lemma; KKM mapping; pseudomonotone; Ky Fan lemma; open mapping theorem; complete; the second category; conjugate; proper convex lower semicontinuous function; linear mapping; closedness

基础科学，数学，数学分析广义强向量似变分不等式； Minty引理； KKM映象；伪单调； Ky Fan引理；开映射定理；完备；第二纲；共轭；真凸下半连续函数；线性映射；闭性

Leaf sheaths loose, strongly compressed, keeled, basal sheaths imbricate; leaf blades broadly linear to lanceolate, flat or folded, 5–20 × 0.6–1.2 cm, glabrous or adaxial surface pilose, apex obtuse; ligule 0.3–0.5 mm. Racemes 2–5, digitate or subdigitate, 4–10 cm, only slightly diverging; rachis glabrous. Spikelets oblong-lanceolate, 2–2.7 mm, pilose or glabrous, apex acute; upper glume and lower lemma 2–4-veined, midvein absent, laterals marginal; upper lemma pale, oblong-elliptic, shorter than spikelet, obtuse with an apical tuft of hairs; stigmas pale.

叶鞘松散，强烈压扁，龙骨状，基部的鞘覆瓦状；叶片宽线形到披针形，平的或折叠， 5-20 * 0.6-1.2 厘米，无毛的或正面具柔毛，先端钝； 0.3-0.5毫米外消旋体2-5的叶舌，指状或者4-10厘米，subdigitate，只是稍微分歧；轴无毛长圆状披针形的小穗，2-2.7毫米，具柔毛或无毛，先端锐尖；上面颖片和更下部的外稃2-4－脉，中脉无，边缘；浅，长圆状椭圆形的上面外稃，短于小穗，钝具一顶端1束毛；柱头浅。

Just because you know a statement and proof of Fundamental Lemma X, you shouldn't take that lemma for granted – can you find alternate proofs?

然而，发现新数学的过程远为凌乱，充满朝着幼稚的、徒劳的或没有意义的方向的追寻。

Then we extend a lemma of Paley-Zygmund to-Zygmund to the cases of non-equally distributed and study the value distribution of more general random Dirichlet series with this lemma.

通常随机级数研究的是同分布随机变量序列，这里通过推广Paley-Zygmund引理，把随机级数的研究引向一般得多的不要求同分布的情况。

Based on a delay-dependent bounded real lemma, the condition under which a decentralized robust H(subscript ∞) output feedback controller exists is derived and it is available to be attributed to a solution to the problem of nonlinear matrix inequality which can be expressed in terms of a homotopy function properly selected. Then, with the homotopic iteration method and the Schur complement lemma introduced, the solution can be converted into an iterative solution to the linear matrix inequality.

基于一个时滞依赖有界实引理，将系统鲁棒分散H动态输出反馈控制器的解归结为一个非线性矩阵不等式的求解问题；选取适当的同伦函数来表示该非线性矩阵不等式，采用同伦迭代算法及Schur补引理，将求解非线性矩阵不等式转化为线性矩阵不等式的迭代求解问题。

Spikelets laterally compressed, florets 2, lower floret fertile, upper floret reduced to a small empty lemma, disarticulating above glumes; glumes about as long as florets, broad, membranous, 1-veined; lower glume awnless; upper glume with an oblique, stout, subapical awn; callus pubescent; lemma of fertile floret dark brown, keeled, broad, cartilaginous to leathery, 3-veined, hairy on veins, apex acute to emarginate, awnless or with a fine, subapical awn-point; palea nearly as long as lemma, keels scabrous or ciliolate; upper floret cuneate or obovate, glabrous.

小穗侧面压扁，小花2，能育，上面的更下部的小花退化至小空外稃，高于颖片脱节；关于倍于小花的颖片，宽，膜质，1脉；更低的颖片awnless；上面颖片具一偏斜，粗壮，芒；胼胝体短柔毛；暗褐色的肥沃的小花的外稃，翻转，宽，软骨的到革质，3脉，内稃近等长外稃，龙骨粗糙或者具短缘毛；上面小花楔形的或倒卵形，无毛。

Spikelets weakly laterally compressed, florets 2 to several, disarticulating above glumes and between florets; rachilla internodes slender, usually 1/3–1/2 length of lemma; glumes shorter than lowest lemma, 1–3-veined; floret callus truncate, glabrous or bearded; lemmas papery, 3(–5)-veined, glabrous, apex acute; palea almost as long as lemma, keels ciliolate or glabrous.

小穗身体虚弱的侧面压扁，小花2到数枚，高于颖片脱节并且在小花之间；节间纤巧的小穗轴，通常是1/3-1/2段外稃；颖片短于最低的外稃，1-3脉；小花结茧削去，无毛或者被公然反对；纸质的外稃，3(-5)脉，无毛，先端锐尖；几乎的内稃倍于外稃，龙骨具短缘毛的或无毛。

Spikelets 1–1.2 mm, florets 2; glumes boat-shaped, keeled, scabrous on vein, ca. 1 mm; lower glume subacute; upper glume truncate, awn 0.3–0.5 mm; lemma of fertile floret broadly boat-shaped, ca. 1.2 mm, leathery, pilose along keel and incurving margins; palea obovate, narrower than lemma, keels scabrous; upper lemma much reduced, cuneate, lying within concave back of palea of fertile floret.

小穗1-1.2毫米，小花2；颖片舟状，龙骨状，粗糙的在脉上，约1毫米；更低的颖片近尖；上面颖片截形，芒0.3-0.5毫米；宽舟状的肥沃的小花的外稃，大约1.2毫米，沿着龙骨和incurving 边似皮革，具柔毛；倒卵形，狭窄比外稃，粗糙的龙骨的内稃；上面外稃非常退化，楔形，躺在内凹在内稃的能育小花后面。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新