漸近維數 的英文怎麼說

中文拼音 [jiānjìnwéishǔ]
漸近維數 英文
asymptotic dimension
  • 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...
  • 維 : Ⅰ動詞1 （連接） tie up; hold together; link 2 （保持; 保全） maintain; safeguard; preserve; keep ...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 漸近 : [數學] [物理學] asymptotic; approximation漸近操作（法） evolutionary operation; 漸近點 asymptotic...
  1. And then, multiple - dimention asmptotic periodic function space is still banach space

    而且把結論推廣到高維空間，也會得到漸近周期函數空間是banach空間
  2. In the light of the recent work in biological models, especially in the chemostat models, the dissertation provides a systematic study on the asymptotical behaviour of some chemostat models built by delay or diffusion differential equations. the main contents and results in this dissertation are as follows : i ) the global asymptotic behavior of the chemostat model with the beddington - deangelies functional responses and time delays is studied. the conditions for the uniform persistence of the competing populations are obtained via uniform persistence of infinite dimensional systems

    本論文基於當前生物學模型，特別是恆化器模型的研究現狀，深入系統的研究了時滯和擴散方程描述的幾類恆化器系統的漸近性態，本文的主要內容包括以下幾個方面：一、研究了具有beddington - deangelies功能性反應函數的時滯恆化器模型，利用無窮維連續動力系統的一致持續生存的理論給出了兩競爭種群一致持續生存的充分條件，利用單調動力學系統得到了系統的全局漸近穩定性。
  3. The hydrauli c model of gradual dike - break simulates numerically the 2 - d flow of gradual dike - break waves. it shows the variation of flow field on breach, and the complicated flow characteristic of the propagation, diffraction, reflection and deformation of the dike - break waves. the hydraulic model can realistically simulate the burst process of dike, and computational accuracy is satisfied with the engineering demands

    本文建立逐漸潰堤的水力模型首次對二維逐漸潰堤波的流動問題進行了數值研究，揭示了逐漸潰堤過程中潰口處流場的變化情況，以及潰堤波的傳播、繞射、反射及變形的復雜運動特徵，能較好地模擬實際工程中的潰堤失事，模擬比較逼近於真實潰決過程，計算精度可滿足工程要求。
  4. The result shows that the upper bounded estimate is independent of the number of spatially partition. similar results are obtained for spatial - temporal discretized fitzhugh - nagumo equations and generalized coupled fitzhugh - nagumo equations

    萬程解的漸近行為，給出了其整體吸引子的存在性和ha朋d扯咐維數估計；最後對離散耦合fitzhugll n 。
  5. ( 2 ) on the leading edge, the film cooling effectiveness at the zone immediately downstream of the cooling holes is affected by blowing ratio and mainstream reynolds number, while the effects are not important in the downstream zone far from the cooling holes. ( 3 ) on the front half of pressure surface, the effectiveness increases with decreasing blowing ratio at the downstream near the cooling row and it is contrary at the downstream far from the cooling row. ( 4 ) on the rear pare of the pressure surface, the effectiveness decreases with increasing blowing ratio and does not vary so much downstream in the cases of higher blowing ratio

    研究結果表明葉片吸力面端壁附近區域壓力系數分佈呈現出較強的三維特性，動葉吸力面尤其明顯；氣膜孔流量系數隨吹風比的增加而增大，在高吹風比情況下，流量系數逐漸趨于常數；在不同型面區域，冷卻效率分佈有較大的差異，而且吹風比與主流雷諾數的影響程度也不盡相同；低吹風比下，孔出口下游附近可以得到較好的冷卻，中、高吹風比下，冷氣射流在加速流動主流的作用下返回壁面進行二次冷卻，孔下游較遠區域可以得到較好的冷氣覆蓋。
  6. In the paper, computational sophistication is applied to compute the basic solution matrix of a sort of two - dimensional periodic differential equation which contains two parameters. the matrix makes it realizable to study the stability of two - dimensional periodic differential equation, here, the following is proved in the paper : only if a ( t ), b ( t ), c ( t ), d ( t ) satisfy some quantity conditions, is exponentially asymptotically stable

    =本文應用計算技巧，計算出一類含雙參數的二維周期系統的基本解方陣，以這個基本解方陣為依據，研究二維周期系統的結構穩定性。所得結論是：只要之間滿足一定的數量關系，則該系統指數型漸近穩定。
  7. Asymptotic behavior of the solution about heat coefficient of one - dimensional heat equation

    一維熱傳導方程的解關于熱交換系數的漸近行為
  8. In this paper, we study the asymptotic theory of two typical dissipative infinity dynamic systems in mathematics and physics

    本文研究了數學物理中兩類典型的具有耗散性的無窮維動力系統的漸近性理論
  9. Subsequently, the special elastic coupling manner of the high - speed maglev is considered, and the restriction between the coupling factor of the single magnet module and other system parameters is studied. the influence of the coupling factor on the vehicle and guideway coupling vibration is also valued

    在此基礎上研究二維電磁鐵模塊系統的彈性結構耦合因素，分析漸近穩定條件下耦合系數與其它系統參數的制約關系，考察耦合參數對車軌耦合振動幅頻特性的影響。
  10. 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。
  11. In chapter 3 we construct two approximation algorithms which applying bin packing algorithms for scheduling problems, one is ff ( first fit ) algorithm used in parallel machine scheduling problem pm / / dj = d / n which has a lower bound of asymptotic worst - case performance ratio, another problem is scheduling independent parallel tasks in parallel identical machine systems to minimize the makespan, we use strip packing method for it and give an approximation algorithm with asymptotic performance ratio no more than 1. 6

    第一個演算法利用裝箱問題中的ff （ firstfit ）演算法求解極大化按期完工工件數的平行機排序問題pm d _ j = d n - u _ j ，該近似演算法具有漸近性能比下界。第二個近似演算法利用二維裝箱中strippacking問題的演算法求解以極小化makespan為目標的帶并行工件的平行機排序問題，該演算法的漸近性能比具有下界1 . 5和上界1 . 6 。
  12. In this paper, we consider the global smooth solutions and long time be - haviors for some nonlinear evolution equations, such as kdv equation, bbm equation, gbbm equation, kdv - burgers equation, coupled generalized nonlin - ear wave equation. by using a priori estimates, the existence of global smooth solution, the existence of global attractors and its fractal dimensions for this sys - tems are obtained. this paper is organized in six chapters

    本文考察了kdv 、 bbm 、 gbbm 、 kdv - burgers 、廣義耦合的非線性波動方程組等非線性發展方程整體光滑解及其漸近行為，利用先驗估計，對一類廣義kdv方程組及耦合的波動方程組的周期初值問題、 cauchy問題、初邊值問題進行了討論，研究了整體吸引子的存在性及其分形維數有限性估計。
  13. In capter 2, it is proved that the system possesses a global attractor and a two - side estimate for the fractal dimension of it is presented. in capter 3, several different approximate intertial manifolds of the system are constructed by applying linear galerkin method, method of projecting operator and operator eigenvalue and successive iterative method, and it is proved that arbitary trajectory of the system enters into a small neighbourhood of the global attractor after large time. capter 4 studies the asymptotic attractor of the system by constructing a solution sequence which approaches to the global attractor of the equation in long time, and the dimentional estimate of the asymptotic attractor is given

    第二章證明了該系統的整體吸引子的存在性，給出了其分形維數的上下界;第三章利用線性galerkin方法、運算元投射和運算元特徵值方法及逐次迭代方法構造了幾類近似慣性流形，證明了該方程的任意解軌道在長時間后進入整體吸引子的任意小鄰域;第四章構造了一個有限維解序列即該系統的漸近吸引子，證明了它在長時間后無限趨于方程的整體吸引子，並給出了漸近吸引子的維數估計
  14. So we mainly do the following works : firstly, we restrict the population distribution in the family of exponential distributions, construct the program of sequential confidence intervals for the one - dimensioned function of unknown parameters with general form, and acquire its some asymptotic properties, such as asymptotic consistency, asymptotic efficiency and bounded cost of ignorance

    為此，我們做了以下工作：我們首先把總體分佈局限在指數型分佈族中，建立了未知參數一般形式的一維函數的序貫置信區間程序，並得出它的漸近相合性、漸近有效性和未知代價的有界性。
  15. We will give the asymptotic normality and consistency of mle for multivariate model with constant correlation introduced by bollerslev ( 1990 ). 3. moreover we will introduce the agarch model with non - normal distribution and have empirical study shows that the model suggested is feasible

    在多維的情形下，著重研究bollerslev （ 1990 ）提出的常數相關的多維garch模型的極大似然估計（ mle ）的漸近正態性和相合性。
  16. Recently laser scan technology has been improved significantly and becomes a viable option in capturing geometries of complicated objects. meshes reconstructed from scanned data are capable of representing complex shapes for product design and biological shapes for computer animation and games

    近些年裡隨著三維數據采樣設備的長足進步以及計算機存儲單元價格的日漸降低，復雜拓撲結構的曲面造型在產品設計及計算機動畫角色造型中日益普及。
  17. Due to the higher demand of speed and precision of dsp, the intermediate frequency ( if ) digitalization receiver which is compared with analog system takes on the advantage of small volume, light weight, low cost, simple configuration, and easy integration. so that digitalization at if is current trend of communication and radar development, the traditional analog receiver is now being replaced by digital receiver gradually

    由於對信號處理的速度、精度要求不斷提高，而中頻數字接收及信號處理系統與模擬系統相比，具有易於dsp演算法編程實現、體積小，重量輕，造價低、結構簡單，易模塊化、系統配置更新快、維護升級方便等優點，所以，雷達信號接收機及處理機的中頻數字化系統近年來備受重視，已經逐漸取代傳統的模擬接收機。
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