黎曼空間 的英文怎麼說

中文拼音 [límànkōngjiān]
黎曼空間 英文
riemann space
  • 黎 : Ⅰ名詞1 （黎族） the li nationality one of the national minorties in hainan province2 [書面語] （...
  • 曼 : 曼形容詞1. （柔和） graceful; soft and beautiful 2. （長） prolonged; long-drawn-out
  • 空 : 空Ⅰ形容詞（不包含什麼; 裏面沒有東西或沒有內容; 不切實際的） empty; hollow; void Ⅱ名詞1 （天空） s...
  • 間 : 間Ⅰ名詞1 （中間） between; among 2 （一定的空間或時間里） with a definite time or space 3 （一間...
  • 黎曼 : bernhard riemann
  • 空間 : space; enclosure; room; blank; interspace
  1. ( 2 ) the liman problem is normally adopted to check the liability of numerical method. the calculation error was within 9 % by comparison with the theoretic solutions of liman problem in the following case, the dimensionless calculation length was 2 with high pressure zone 0. 8, and the dimensionless state parameters were p1 = 2, p2 = 1, p1 = p2 = 1, u1 = u2 = 0. experiment results in literature [ 8 ] were used to check the adaptability of the numerical model developed here for unconfined gas cloud explosions and the calculation error was within 13 %

    （ 2 ）數值方法的可靠性通常用黎曼問題的解析解檢驗，本文以無量綱計算區長度為2 ，高壓區長度為0 . 8 ，狀態參數為p _ 1 = 2 ， p _ 2 = 1 ， _ 1 = _ 2 = 1 ， u _ 1 = u _ 2 = 0條件下的黎曼問題解析解對所編制的爆炸場計算程序進行了考核，結果表明該程序的計算誤差在9以內；為考核本文計算模型預測開敞空間氣雲爆炸的適用性，以文獻[ 8 ]的實驗數據進行了校核，計算誤差在13以內。
  2. After constrcting the perfective space, prove that this space is just the space of lebesgue integratiable function, thus explain that lebesgue integral is the form of the perfective riemann integral

    在構造了完備化空間之後，證明了該空間就是勒貝格可積函數空間，從而說明了黎曼積分的完備化形式是勒貝格積分。
  3. This paper deals with the regular curves in a riemannian manifold with constant sectional curvature and the affine starlike curves in r2, r3 and r4

    本文研究了具有常截面曲率的黎曼流形中的正則曲線及二、三、四維空間中的仿射星形曲線。
  4. Harmonic maps between riemannian manifolds are very important in both differential geometry and mathematical physics. riemannian manifold and finsler manifold are metric measure space, so we can study harmonic map between finsler manifolds by the theory of harmonic map on general metric measure space, it will be hard to study harmonic map between finsler manifolds by tensor analysis and it will be no distinctions between the theory of harmonic map on finsler manifold and that of metric measure space. harmonic map between riemannian manifold also can be viewed as the harmonic map between tangent bundles of source manifold and target manifold

    黎曼流形間的調和映射是微分幾何和數學物理的重要內容。黎曼流形和finsler流形都是度量空間，自然可利用一般度量空間調和映射的理論討論finsler流形間的調和映射。但由於控制finsler流形性質的各種張量一般情況下很難應用到一般度量空間調和映射的理論中，使得這樣的討論大都是形式上的，並與一般度量空間調和映射的理論區別不大。
  5. Also, general relativity defines non - inertia space - time as a space of riemann. for riemann space has positive curvature, we have to doubt about where the minus curvature space is

    廣義相對論把非慣性時空定義為黎曼空間，但由於黎曼幾何是正曲率空間，既然廣義時空是對稱的，我們必然要問，負曲率空間到哪去了？
  6. Natural gradient is a new optimization way that is proposed in a special space ? riemannian space. the parameter space in blind source separation is riemannian space. natural gradient has many better characters compared with normal gradient

    自然梯度下降法是一種新的最優化方法，自然梯度下降法是在黎曼空間下提出的，自然梯度相比于標準梯度有很多優點。
  7. Firstly the stochastic gradient algorithm based on minimum mutual information ( mmi ) is researched, and this algorithm is simple and stable, but its convergence speed is slow. secondly the natural gradient algorithm based on riemann space is researched. finally easi algorithm, iterative inversion algorithm and some

    首先研究了基於最小化互信息的隨機梯度演算法，該演算法簡單穩定但收斂較慢，然後研究了基於黎曼空間的自然梯度演算法，最後介紹了easi演算法、迭代求逆演算法以及其餘一些演算法。
  8. The text however develops basic riemannian geometry, complex manifolds, as well as a detailed theory of semisimple lie groups and symmetric spaces

    然而課程還將簡單介紹了基本的黎曼幾何和復流形的知識，並會詳細討論半單李群和對稱空間的理論。
  9. In this paper, the authors give the globally classfication of the maximal totally geodesic submanifolds with maximal rank of normal riemannian symmetric spaces by computing the fundamental group

    摘要通過計算全測地子流形的基本群，確定了緊正規黎曼對稱空間的極大的極大秩全測地子流形的整體分類。
  10. The text for this class is differential geometry, lie groups and symmetric spaces by sigurdur helgason ( american mathematical society, 2001 )

    然而課程還將簡單介紹了基本的黎曼幾何和復流形的知識，並會詳細討論半單李群和對稱空間的理論。
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