漸近等分定理 的英文怎麼說

中文拼音 [jiānjìnděngfēndìnglǐ]
漸近等分定理 英文
asymptotic equipartition theorem
  • 漸 : 漸副詞（逐步; 漸漸） gradually; by degrees
  • 近 : Ⅰ形容詞1 （空間或時間距離短） near; close 2 （接近） approaching; approximately; close to 3 （親...
  • 等 : Ⅰ量詞1 （等級） class; grade; rank 2 （種; 類） kind; sort; type Ⅱ形容詞（程度或數量上相同） equa...
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 定 : Ⅰ形容詞1 （平靜; 穩定） calm; stable 2 （已經確定的; 不改變的） fixed; settled; established Ⅱ動詞...
  • 理 : Ⅰ名詞1 （物質組織的條紋） texture; grain （in wood skin etc ） 2 （道理;事理） reason; logic; tru...
  • 漸近 : [數學] [物理學] asymptotic; approximation漸近操作（法） evolutionary operation; 漸近點 asymptotic...
  • 等分 : divide from the middle; [航空; 航海] halve; halving
  1. Firstly, by numerical and theoretical analysis, the author compares some existent confidence intervals, for example, " exact " confidence interval, wald confidence interval and bayesian confidence interval, and finds some deficiencies points of the confidence intervals, whose modification version has been proposed. also, several better confidence intervals such as are also presented. secondly, for given confidence coefficient and interval width, the author constructs a class of asymptotical two - stage interval estimate procedures. at the same time, under varies restriction of confidence coefflcientent interval width, the optional sample size of the first stage has been computed by numerical computation. the numerical computation shows that the method considered in this dissertation have good properties and applied value

    同時，由於poisson分佈的特性，我們知道不存在其參數區間長度小於0 . 5的置信區間，基於這些情況，我們主要展開了以下兩個方面的研究：一是利用數值計算分析與理論分析的方法對現有的若干置信區間如「精確」置信區間， wald置信區間， bayes置信區間等進行分析比較，發現了一些缺陷，針對這些缺陷，我們進行適當的修正，並得到幾種性質較好的置信區間如：修正大樣本區間jeffreys原則下置信區間二是針對已給定的置信系數與區間長度，我們提出了一種漸近的兩階段區間估計程序，並利用數值計算的方法，在各種置信系數與區間長度限定下，算出了最優的第一階段觀測次數（抽樣量） ，大量數據表明，本文考慮的方法性態良好，具有應用價值。
  2. In these years, image measuring has been used in every walk of life gradually. this paper discusses the characteristic, the virtue and the application of digital image measuring. in this paper. after analyzing the practical situation and theory, it has confirmed the project that identify automatically the pointer and the reticle of the pressure gauge with technique of optic photographic system, image process and automatic identification

    近年來，圖像測量逐漸應用到各行各業。本文討論了數字圖像測量的特點、優點及應用范圍，結合實際情況和理論分析，確定了利用光學攝像系統和圖像處理、識別技術，自動識別壓力表的指針和刻線的方案，解決了壓力表示值的自動檢定問題，研製了一套集計算機、圖像處理和識別、自動控制和光學等技術於一體的壓力表示值的自動檢定系統。
  3. According to the theory of differential inequality and the comparision theorem, we will establish some new and more practical criteria of the extinction, uniform persistence and globally asymptotical stability for partial species of the above system. since the narrate of the main theorem is long, we omit it. to see section 2 of chapter 3 for details

    通過利用微分不等式理論，比較定理及構造適當的lyapunov函數，得到了判別種群持續生存、滅絕和全局漸近穩定性的三個定理，這便是第三章的主要內容，由於定理較長，這里不作敘述，詳見第三章第二節。
  4. With the steady growth of natural gas, the recent hot spot of world sources of energy and with the encouraging progress in such renewable sources of energy as solar energy and wind energy, the proportion of oil in the world ' s unrenewable sources of energy has indeed been lower than before ; nevertheless, upon comparing with natural gas, nuclear energy and other sources of energy, it has been found out that the dominance of oil in the world ' s unrenewable sources of energy will remain unshakable in the coming 20 years though after that period of time there may be intense competition between oil and natural gas for supremacy. although people have been repeatedly made a fool of by the unpredictable oil price and made one misjudgement about it after another, yet given the world general situation of oil supply and demand, the essential variable, with which the oil price will continue to vary, plus other factors, such as the oil price policy of some middle eastern oil producers which is tending more and more rational, it can be roughly concluded that the world oil price will be stable with a slight rise

    再者，隨著天然氣? ?世界能源的新熱點的「蒸蒸日上」 ，在太陽能、風能等可再生能源方面取得的可喜進展，石油在世界一次能源構成中的比例的確已不如往昔，不過，一經與天然氣、核能等進行對比分析，就發現石油在世界一次能源構成中的「霸主」地位在今後20年內仍難撼動，此後有可能會出現天然氣與石油一決高低的局面；在難以捉摸的油價面前，人們曾一次次地受到它的捉弄，一次又一次在它面前「失算」 ，但基於世界石油供求大勢仍將是其變動的基準，再考慮到其他因素，諸如中東產中東石油與21世紀的中國石油女全內容摘要油國的漸趨理性的油價政策等的影響，大致可以得出世界油價穩中有升的結論，當然，由於世界石油市場的本性使然，加上新近出現的加劇市場動蕩的4大不穩定因素的干擾… …油價在未來一段時間內依然難改動蕩本色。
  5. But in more situations the random variables generating counting processes may not independent identically distributed, and in all kinds of dependent relations, negative association ( na ) and positive association ( pa ) are commonly seen. the research and apply in this aspect are rather valuable. in chap 2 we prove wald inequalities and fundamental renewal theorems of renewal counting processes generated by na sequences and pa sequences ; in chap 3 we are enlightened by cheng and wang [ 8 ], extend some results in gut and steinebach [ 7 ], obtain the precise asymptotics for renewal counting processes and depict the convergence rate and limit value of renewal counting processes precisely ; at last, in the study of na sequences, su, zhao and wang ( 1996 ) [ 9 ], lin ( 1997 ) [ 10 ] have proved the weak convergence for partial sums of stong stationary na sequences. however product sums are the generalization of partial sums and also the special condition of more general u - statistic

    但在更多的場合中，構成計數過程的隨機變量未必相互獨立，而在各種相依關系中，負相協（ na ）和正相協（ pa ）是頗為常見的關系，這方面的研究和應用也是頗有價值的，本文的第二章證明了na列和pa列構成的更新計數過程的wald不等式和基本更新定理的一些初步結果；本文的第三章則是受到cheng和wang [ 8 ]的啟發，推廣了gut和steinebach [ 7 ] ）中的一些結論，從而得到了更新計數過程在一般吸引場下的精緻漸近性，對更新計數過程的收斂速度及極限狀態進行精緻的刻畫；最後，在有關na列的研究中，蘇淳，趙林成和王岳寶（ 1996 ） 》 [ 9 ] ，林正炎（ 1997 ） [ 10 ]已經證明了強平穩na列的部分和過程的弱收斂性，而乘積和是部分和的一般化，也是更一般的u統計量的特況，它與部分和有許多密切的聯系又有一些實質性的區別，因此，本文的第四章就將討論強平穩na列的乘積和過程的弱收斂性，因為計數過程也是一種部分和，也可以構成乘積和，這個結果為研究計數過程的弱收斂性作了一些準備。
  6. Especially, when the isocline of x is monotone decreasing in 0 < x < 1, the svstem has no limit cycle and is globally stable ; next, we construct a saddle bifurcation at the boundary equilibrium and a degenerated bogdanov - takens bifurcation at the interior equilibrium by choosing appropriate parameter values in the following two sections, where our work are based on the theory of central manifolds and normal torms. we prove that is a codimention 3 focus - type equilibrium. system ( 6. 1 ) will have two limit cycles at some appropriate bifurcation parameter values, and have homoclinic or double - homoclinic orbits at some other appropriate bifurcation parameter values ; at last, we study the qualitative properties of the system at infinite in the poincare sphere

    因為系統在（ 0 ， 0 ）點處沒有定義，這給研究其在（ 0 ， 0 ）附近的動力學性質帶來了困難，我們應用文獻[ 17 ]中關于研究非線性方程奇點的系列理論和方法，圓滿解決了這一問題，給出了第一象限內當t +或t -時，在全參數狀態下系統的軌線趨于（ 0 ， 0 ）點的所有可能情況，其相圖也得以描繪；並且，系統不存在極限環的幾個充分條件我們也予以列出，當x的等傾線在0 x 1范圍內遞減時，系統不存在極限環，全局漸近穩定；然後，我們以中心流形定理和正規型方法為主要工具，巧妙選擇參數，分別構造了一個余維2的鞍點分岔和一個余維3退化bogdanov - takens分岔，證明了平衡點是余維3的焦點型平衡點，存在參數， m ，的值使得系統（ 6 . 1 ）有兩個極限環，還存在參數， m ，的另外值使得系統（ 6 . 1 ）有同宿軌或雙同宿軌。
  7. Thus, we employ several lyapunov functions including partial components and avoid using p function to obtain some stability results of the trivial solution of system ( 1 ), such as stability, equi - asymptotic stability, uniformly asymptotic stability and so on. in these theorems, the conditions are less restrictive

    因此，本章運用多個部分lyapunov函數，避免使用p函數，在較少的限制條件下得到了系統（ 1 ）的零解的穩定性、等度漸近穩定性、一致漸近穩定性等定理，並且得到了一些推論
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