topological dimension 中文意思是什麼

topological dimension 解釋
拓撲維數
  • topological : 拓撲的
  • dimension : n 1 尺寸。2 【數學】次元,度(數),維(數)。3 【物理學】因次,量網。4 〈pl 〉容積;面積;大小,...
  1. According to the topological analysis of the unit cells, the relationship between the braiding parameters is established, such as braiding angle, braiding pitch, fiber volume fraction, dimension of composites etc.

    經過對三維編織細觀結構的拓撲分析,建立了編織工藝參數之間的關系,如編織角、編織花節長、纖維體積含量、復合材料的尺寸等。
  2. By programming developed by user, the paper detailed researches the expressing method and identifying method of the component in the hierarchy assembly model, the description of three dimension position and orientation of the components in the product, and topological graph of mating relationship among the components. all these lay a solid foundation for the following research on assembly sequence and path planning and assembly process simulating

    本文在pro engineer軟體的基於特徵的參數化技術建模的基礎上,通過其二次開發平臺,詳細研究了pro e軟體環境下的裝配模型的層次結構的裝配模型表達方法和部件標識機制,以及零部件在裝配體中的空間位姿描述;還有零部件之間的配合聯接關系的拓撲圖表示法。
  3. So far, mathematicians who study topology have obtained substantial achievements in important topological directions, such as generalized metric space, cardinal function, compactness, dimension theory, etc. but what is worth to paying attention to is that we often draw on one special type of topological space to think and solve problems, for example, the classical structures, sorgenfrey line k, michael line rq, niemytzki planetv, kxk, # q xp, etc. ; subtle and profound topological properties aredetailedly characterized by them

    而值得注意的是,在一般拓撲學的研究歷史中,我們常常藉助一類特殊的空間來思考和解決問題,如我們熟悉的經典構造: sorgenfrey直線k 、 michael直線r _ q 、 niemytzki平面n 、 k k 、 r _ q p等等,漂亮地刻畫了細微而深奧的拓撲性質。
  4. 4. on original data arrangement of views, first, this paper discusses the instance of line overlap and gives the concept of hidden point, next, a method for breaking line is put forward by the means of handling two lines intersection, at the end, data check and correction is described through topological relationship between primitives and dimension set of drawing. to make a summary, from the viewpoint of practicality, the method of engineering drawing pre - processing proposed in this paper over comes traditional

    4 .在視圖原始數據整理方面,首先討論了重疊邊的分解與重構方法;然後給出了隱含點的概念,通過對二維線段相交情況的處理分析了求取隱含點的斷線演算法;最後描述了如何利用實體的拓撲關系檢查輸入視圖中的錯誤以及利用工程圖中的尺寸集來校正這些錯誤。
  5. A real physical system may involve many variables but only one or more of them can be detected by modem data collecting equipment in recent years, the technique of phase space reconstruction is frequently applied to analyse and process time series. its significance is that the topological characteristics such as fractal dimension can be obtained, on the basis of investigation and research about the technique of phase space reconstruction up - to - now, this paper is also devoted to develop a new method for the prombles of detecting deterministic chaos of time series obtained from experimental data

    一個實際的系統可能會涉及多個相變量,但在實際問題中只能得到部分相變量的信息,近年來人們發展了相空間重構方法,能夠通過單變量信息重構吸引子,這種方法在時間序列分析和處理中得到廣泛應用,其意義在於能在拓撲等價意義下恢復吸引子的拓撲特徵,本文第三章在國內外有關時間序列的相空間重構研究狀況基礎上,致力於發展對時間序列進行確定性檢驗的新方法,即研究時間序列的分佈規律和赫斯特指數,並在相空間重構的基礎上,提取吸引子的特徵指數。
  6. Usually the fractal dimension of f ( defined in some way ) is greater than its topological dimension

    以某種方式定義的分形集合的分形維數通常是大於它的拓撲維數。
  7. According to the dirac constrain theory and the extended condition, we deduce the gauge generators, show the brst transformation of ( 1 + 1 ) dimension o ( 3 ) non - linear model under the new general condition. we first gain the new general commutation relations of ghost field, deduce the brst charge from gauge generator, complete the general brst quantization of the model, get green function, connecting green function and generating functional, gain three kinds of ward identities. at last, we complete the brst quantization of o ( 3 ) non - linear model with topological term in ( 1 + 1 ) dimensions space - time

    最後依據dirac約束規范理論和推廣的條件,導出了規范生成元,推導出了1 + 1維o ( 3 )非線性模型的新的一般條件下的brst變換,給出了其brst變換與dirac規范變換的等價性,首次得到了鬼場的一般對易關系,且其一般參數為零時就回到通常的鬼場的對易關系,第一次由規范生成元導出了brst荷,進而完成了此模型的一般的brst量子化,並在此基礎上進一步導出了此系統的green函數、連通green函數生成泛函和正規頂角生成泛函,獲得了三種不同的ward恆等式。
  8. As an example, the time series of china composite stock index is considered firstly, the distribution of five day ' s return on china composite stock index is studied. secondly, based on the r / s analysis hurst exponent is worked out and determination detecting can be done. lastly, the topological characteristics such as correlation dimension and maximum lyapunov exponent are extracted from time series

    作為例子,本文對中國股票指數時間序列做了實證分析,首先研究了中國股票指數的五天收益率的分佈規律,然後運用重標極差分析方法計算出赫斯特指數,並以此為基礎進行確定性檢驗,最後在相空間重構的基礎上提取吸引子的拓撲特徵指數。
  9. Furthermore, we point out that for any interval lipschitz map with positive topological entropy there is a chaotic set with positive hausdorff dimension

    特別指出,對具有正熵的lipschitz區間映射而言,存在正hausdorff維數的混沌集。
  10. In chapter 3, by identifying of geometric features of all basic entities, the shaping information of all basic entities of a part is recognized, and the carrier information for constructing dimension model is extracted. according to interrelations of all basic entities, and connections between shaping dimensions and topological structures of basic entities, a new method is presented to identify disappearing dimensions caused by interacting features. at the same time, a new strategy to create locating constraint dimensions and convert locating constraint dimensions to locating dimensions is introduced

    在第三章中,通過基元體的幾何特徵識別出零件體中各個基元體的幾何形狀,並提取生成尺寸模型所需的載體信息;根據定形尺寸同基元體拓撲結構之間的聯系和各基元體之間的相互關系,提出了由相交特徵引起的消失尺寸的確定方法;介紹了基元體之間定位約束尺寸的生成方法,以及山定位約束尺寸轉化成定位尺寸的調整策略。
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