reproducing kernel 中文意思是什麼

reproducing kernel 解釋
再生核
  • reproducing : 卡片復穿
  • kernel : n 1 （果實的）核，仁。2 穀粒，麥粒。3 內核，核心，要點。4 【原子能】（原子）核。5 【數學】（積分...
  1. And by far, most theories of wavelet analysis are established in, but this method is rare to be known and exists defects in the reproducing kernel space with good properties. then in the reproducing kernel space, isometric isomorphism of relation is founded between and by differential operator. and starting from the haar basis, multi - resolution analysis inis gived by folding method ; then multi - resolution analysis and orthonormal wavelet in are obtained through integral transform from to. then the reproducing kernel space can be expressed by wavelet spaces

    於是，在再生核空間中，利用積分運算元建立了空間與hilbert空間的等距同構關系；並且從haar小波出發，由折疊法實現的空間中多尺度分析通過積分變換得到中多尺度分析和正交小波，使得再生核空間可以由小波空間來刻劃；從而對空間中的函數，給出了小波逼近具體表達式和相應的采樣公式，形式簡單易於數值分析。
  2. In this paper, three numerical approximation problems are discussed in some reproducing kernel spaces

    本文主要針對某些再生核空間討論了數值逼近中的三個問題。
  3. Analysis to nonlinear fracture for piezoelectric ceramics with reproducing kernel particle method

    壓電陶瓷非線性斷裂的再生核點法分析
  4. In the space, wavelet approximation formula and sampling formula are gived and these are simple and easy for calculation. it is a new attempt to establish mra in the reproducing kernel space. this not only makes up existing researchful defects but also gives a better method to resolve numerical approximation problems and it further enriches the reproducing kernel theory and wavelet method. this provides more applied method for resolving numerical approximation problems in the space which is often used in the engineering

    在再生核空間中建立的多尺度分析方法是利用再生核工具探討小波理論的又一次大膽的嘗試，它不但彌補了現有研究的缺憾，而且給出了解決數值逼近問題的一個新思路，進一步豐富了再生核理論，充實了小波方法，這為在工程中常用的空間中解決數值逼近問題又提供了一種較為實用的方法。
  5. Firstly, in the reproducing kernel space, the spline function is discussed and its equivalent relations are gived ; we prove that the 2 - th differential operator interpolation spline function in the space can be expressed not only by the reproducing kernels but also by polygonal functions. so it is easy to prove its best approximation properties in theory and is convenient for numerical calculation in applications, too

    首先，在再生核空間中討論樣條函數，給出其等價性條件；證明了空間中的一個二階微分運算元插值樣條既可由再生核函數表示又可由折線函數表示，這不僅在理論上便於獲得此種插值樣條函數的最佳逼近性質，而且在應用上也便於數值計算。
  6. A meshless shapefunction was constructed by fixed reproducing kernel approximation, and solved the 2 - d elastic mechanics problem by means of combining collocation

    利用固定重構核近似建立無網格形函數，並結合配點法求解平面彈性力學問題。
  7. Rkpm a structural analysis with crack problems by reproducing kernel particle methods

    含裂紋體結構分析中的再造核質點法
  8. The reproducing kernel particle method for numerical analysis of high - speed impact process

    高速沖擊過程數值分析的再生核質點法
  9. Dynamic impact processes was analyzed and simulated with reproducing kernel particle method ( rkpm )

    摘要應用再生核質點法實現了沖擊過程的數值模擬。
  10. Finally, a tensor product space is constructed, in which exists reproducing kernel. the explicit representation of the best interpolation

    這為尋找二維插值公式，用以計算重積分提供一定的方法。
  11. Best approaching of bounded linear operator in reproducing kernel space

    再生核空間的有界線性運算元的最佳逼近
  12. The essential principle of fixed reproducing kernel function, moving reproducing kernel function and multiple fixed reproducing kernel function were stated, and the characters of three reproducing kernel function was analyzed

    摘要闡述固定重構核近似、移動重構核近似及復合固定重構核近似的基本原理，分析三種重構核近似函數的性質。
  13. In the fourth chapter, we use reproducing kernel and carleson measure charactering pointwise multipliers between the hardy space and bergman space, bergman space and bergman space on the unit ball

    在第四章中，我們利用再生核與carleson測度工具刻畫了單位球上hardy空間到bergman空間，以及bergman空間到bergman空間的點乘子。
  14. In the six chapter, we use the methods of reproducing kernel and carleson measure charactering the pointwise multipliers on the hardy space, bergman space on the polydiscs, we also obtain a necessary condition for a composition operator to be a compact operator, and a addition result on the range of composition operator on the hardy space

    在第六章中，我們利用再生核與carleson測度刻畫了多圓hardy空間到bergman空間，以及bergman空間到bergman空間的點乘子，得到hardy空間與bergman空間上復合運算元為緊的一個必要條件，以及在hardy空間上關于復合運算元值域的一個結果
  15. In the fifth chapter, we use the the methods of function theory establised a class of analytic reproducing kernel space, we call it a generalized arveson space. we study the relationship of these space, and obtain some intersting results, we also defined toeplitz c * - algebra on the generalized areveson space, obtain some results of toeplitz c * - algebra on the generalized areveson space

    在第五章中，我們利用函數論的方法建立了更廣泛的一類解析的再生核空間，稱之為廣義arveson空間，討論了它的一些關系，並得到了一些有趣的結果。還定義了廣義arveson空間上的toeplitzc * -代數，建立了廣義arveson空間上的toeplitzc * -代數的一些性質。
  16. Riesz basis - based reproducing kernel and svm

    基的再生核及支持向量機
  17. It proves that fixed reproducing kernel approximation has its particular advantages over other methods

    證明固定重構核近似較其它重構核近似具有獨特的優勢。
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