閉子群 的英文怎麼說
中文拼音 [bìziqún]
閉子群
英文
closed subgroup-
The results showed that plant height, crown breadth, leaf number, leaf breadth and sporophyll number of dryopteris crassirhizoma populations were influenced by forest crown density and light condition
結果表明：林分郁閉度和光照條件顯著影響粗莖鱗毛蕨種群的株高、冠幅、葉片數量、葉片寬度、孢子葉數等形態指標。Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups
近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。We were so robbed by that man who stands there, as all we common dogs are by those superior beings - taxed by him without mercy, obliged to work for him without pay, obliged to grind our corn at his mill, obliged to feed scores of his tame birds on our wretched crops, and forbidden for our lives to keep a single tame bird of our own, pillaged and plundered to that degree that when we chanced to have a bit of meat, we ate it in fear, with the door barred and the shutters closed, that his people should not see it and take it from us - i say, we were so robbed, and hunted, and were made so poor, that our father
站在那邊的那個傢伙，他搶奪我們，逼我們交苛捐雜稅，逼我們給他們做事不給報酬，逼我們到他的磨坊磨面。他的雞鴨鵝大群大群地吃我們少得可憐的莊稼，卻一隻雞鴨都不準我們喂養。他把我們搶得乾乾凈凈，我們若是有了一小片肉，只好閂上門，閉上窗，提心吊膽地吃，怕被他的人看見拿走一我說，我們給搶得逼得颳得太苦了，我爸爸對我們說生孩子很可怕，我們最應當祈禱的就是讓我們的婦女不要生育，讓我們悲慘的種族滅絕！Reich [ 2 ] proved the ergodic theorems to nonexpansive semigroups in hilbert spaces. takahashi and zhang [ 3 ], tan and xu [ 4 ] extended baillon ' s theorem to asymptotically nonexpansive and asymptotically nonexpansive type semigroups in hilbert spaces. recently, reich [ 6 ], bruck [ 5 ], oka [ 7 ] gave the ergodic convergence theorems for nonexpansive, asymptotically nonexpansive mappings and semigroups in uniformly convex banach spaces with frechet differentiable norm. li and ma [ 13 ] obtained the ergodic convergence theorems for general commutative asymptotically nonexpansive type topological semigroups in reflexive banach space, which is a great breakthrough
Baillon [ 1 ]首先在hilbert空間的非空凸閉子集上給出了非擴張映照的弱遍歷收斂定理。 baillon的定理引起了很多數學家的興趣， reich [ 2 ]在hilbert空間中證明了非擴張半群的遍歷收斂定理。 takahashi和zhang [ 3 ] ， tan和xu [ 4 ]分別將baillon的定理推廣到漸近非擴張半群及漸近非擴張型半群。The distribution and structure of the allelic polymorphism data are analyzed and it is pointed out that the distribution of allelic polymorphism data reveals the characteristic of closed data ( also named as compositional data or data of constant sum ) it is interpreted that the correlation structure of the allelic polymorphism data contains null correlations introduced by " closure " and the statistical distribution of the data is not normal because of its constant row sum, which resulted in great difficulties in analyzing the data with traditional multiple linear statistical methods such as principal component analysis, factor analysis, cluster analysis and canonical correlation analysis
摘要長期以來，對于多維基因多態性數據的多元統計分析，如計算遺傳距離時所用的聚類分析、分析群體遺傳結構時所用的主成分分析、因子分析和典型相關分析等，一直應用為無約束條件數據而設計的經典多元線性分析方法，並沒有注意基因多態性數據的「閉合效應」所帶來的問題。分享友人