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This thesis is organized as follows. In Chapter 1, some necessary definitions and notations, the background and main result of this thesis are given; In Chapter 2, some auxiliary lemmas and theorems are obtained; In Chapter 3, the main result is proved.

本文第一章介绍了一些必要的概念与记号,问题的背景及本文主要结果;第二章给出了一些辅助引理及定理;第三章给出主要结果的证明。

It is organized as follows:In Chapter 1, we introduce proximal point algorithms" framework and current research situation, optimization problems and variational inequalities" background and current research situation, and some basic concepts and lemmas, which are used in this dissertation.

本文具体安排如下:第一章简要介绍了邻近点算法的基本框架和研究现状,最优化问题和变分不等式问题的背景和研究现状,以及本文需要用到的一些基本概念和引理。

In chapter one, we review the historical development of these branches. Some basic concepts and lemmas of set-valued mappings are briefly introduced, the main work of this thesis is outlined.

第一章综合论述这三个分支的历史发展状况,简单介绍集值映射的基本概念和本文所必需一些引理,以及本文所做的一些主要工作。

This paper has four parts. Induction gives the origin of problem and some definitions and some lemmas and the conditions for the later theorem.

全文共分四部分,引言介绍了问题的提出、一些定义、引理、以及后面定理所需要的条件。

Florets 1 or 2; lemmas 4.5–5.5 mm; awns up to 6.5 mm, recurved or straight

小花1或2;外稃4.5-5.5毫米;芒可达6.5毫米,下弯或者直 11

Plant robust, up to 50 cm; lemmas with lateral awns arising from tips of teeth; anthers 1.4–1.7 mm.

粗壮的植株,可达50厘米;外稃具齿的侧的芒生于端部;花药1.4-1.7毫米 6 T。

Rachis 0.4–1.5 mm thick; spikelets not sunken in rachis; lemmas 9–15 mm; awns 5–20 mm, present on all florets.

Rachis 0.4-1.5毫米厚;在轴里不沉没的小穗;外稃9-15毫米;芒5-20毫米,在全部小花上提出。

The JAs content in stamens, lodicules and lemmas increased continuously with the time approaching anthesis, peaked at the time of floret opening, and decreased 2h after floret opening, on the contrary, JAs level in pistils was 36.58% lower at the time of floret opening than that one day before, but increased dramatically to 2.36 times higher 2h after floret opening than that at the time of floret opening.

结果表明:雄蕊、浆片和内外稃的JAs含量随著开颖时间的临近而逐渐升高,在颖花开放时达最大值,花后2h下降;相反,雌蕊的JAs含量在开颖前1d较高,接近开花时下降,而到花后2h大幅度上升。

Glumes absent to 2, gradually transformed into lemmas, mucronate, basally and apically usually sterile; lemma papery; palea narrower and shorter than lemma; lodicules subglabrous.

颖片无到2,逐渐改变成外稃,短尖,基部和顶部通常不育;外稃似纸;内稃狭窄和短于外稃;鳞被近无毛。

Spikelets all alike, slightly laterally compressed, with (1 or)2 to several florets, lower florets bisexual, the upper progressively reduced, disarticulating above glumes but not usually between florets; glumes persistent, membranous, usually enclosing the florets, obviously 1- to many-veined, entire; lemmas broad, rounded on back, 9–11-veined, veins extended into 5–19 awns, sometimes alternating with hyaline lobes; palea broad, subequaling lemma body, keels ciliate.

小穗全部一样,稍侧面压扁,通常,颖片宿存,膜质包围,明显1-在很多脉,全缘;宽,圆形的外稃在背面上,9-11-脉,脉延长进芒,有时互生具透明裂片;内稃宽阔的部分,近相等外稃主体部份,龙骨纤毛。

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