high-order approximation 中文意思是什麼

high-order approximation 解釋
高階近似
  • high : adj 1 高的〈指物，形容人的身高用 tall〉；高處的；高地的。2 高級的，高等的，高位的，重要的。3 高尚...
  • order : n 1 次序，順序；整齊；（社會）秩序，治安；狀況，常態；健康狀態；條理；會場秩序；議事程序，日程；...
  • approximation : n. 1. 接近；近似。2. 【數學】近似值。3. 概算，略計。
  1. The underlying reason is that in order to achieve high approximation level with the smallest possible memory, they need rather complex techniques to maintain a sketch, along time dimension, by using some existing off - line clustering algorithms

    這種原因在於用盡量小的內存來獲得近似的k中值點時，通常需要復雜的運算來維護一個壓縮的「概要」 sketch結構。
  2. Eno schemes are based on the approximation theory, which achieve high - order spatial accuracy by reconstructing piecewise smooth high - order approximate polynomial from the cell - averaging values. during the reconstruction, adaptive stencil technology, which automatically chooses the relatively smoothest stencil from all possible stencils, is adopted to guarantee essentially non - oscillation near the discontinuity

    Eno格式基於近似理論，採用自適應基架技術（即自動選取所有基架中相對最為光滑的基架） ，對網格平均值構造分段光滑的高階多項式來獲得高階空間精度，同時保證格式在間斷附近具有基本無振蕩性質。
  3. This dissertation presented two new methods of robust adaptive track control for a class of mimo strong nonlinear system with external disturbance. one method makes use of taylor approximation principle to linearize the mimo strong nonlinear system at the ideal equilibrium point, meanwhile external disturbance is considered, and then designs two on - line neural network controller respectively, which can dynamically compensate the high order items of taylor series and the control signals at ideal equilibrium point under the drive of state error between linear and nonlinear system. a linear feedback controller obtained by pole assignment and two on - line neural network act on the practical mimo high nonlinear system together, guaranteeing the whole system robust stable and tracking the specified signal ; the other method designs three on - line neural networks for this class of system

    本文對於一類含有外部擾動的多輸入多輸出（ mimo ）強非線性系統，提出了兩種新的魯棒自適應跟蹤控制方法，第一種利用了taylor近似的原理，在考慮了外部擾動的情況下，將mimo強非線性系統在理想平衡點處線性化，分別設計了兩個在線神經網路控制器，在線性和非線性系統之間的狀態誤差驅動下動態補償系統的taylor近似高階項及理想平衡點處的控制信號，滿足極點配置方法的線性反饋控制器和兩個在線神經網路聯合作用於實際的被控mimo強非線性系統，在保證整個系統魯棒穩定性的情況下，能夠跟蹤給定的指令信號；另一種方法是針對這類系統設計了3個在線神經網路，分別實時抵消這類非線性系統中的非線性部分、與控制量耦合的非線性項以及外部擾動，使得受控系統的輸出可以完全跟蹤給定輸入參考信號。
  4. High - order compact - type schemes with rational and pad approximation approaches

    逼近的高階緊致型方法
  5. In connection with the researches carried out in our laboratory, the description is concentrated on the high accurate four - component relativistic density functional methods with relativistic effects taken into account strictly, and the two - component or scalar relativistic density functional methods with relativistic effects considered approximately, involving the zero - order regular approximation ( zora ) method and its improved variants, the singularity excluded approximate expansion ( seax ) method, and the jointed two component - scalar relativistic ( or non - relativistic ) approach applicable to the calculations of large systems locally containing heavy elements

    結合本實驗室的研究工作，重點介紹嚴格處理相對論效應的四分量相對論密度泛函計算方法和近似處理相對論效應的兩分量和標量相對論密度泛函計算方法，包括零級規則展開近似（ zora ）方法及其改進和排除奇點的近似展開（ seax ）方法，以及適合處理局部包含重元素大體系的接合兩分量標量相對論（或非相對論）計算方法。
  6. The second aspect : from qgp kinetic equations with collision integrals, by using the relaxation time approximation, we calculate the distribution functions to the second order correction. we obtain the distribution functions for quarks ( and anti - quarks ) and gluons under perturbation of the fluctuation of the color field. then in the high - temperature - low - density area, we discuss the characteristics of the distribution functions, and use t hem to get the net baryon density and the energy density

    第二，從有碰撞項的qgp動力論方程出發，忽略自旋，在色漲落擾動下，利用弛豫時間近似，得到夸克和膠子分佈函數的二級修正，通過數值分析重點討論了高溫低密情況下qgp中成分粒子分佈函數的特性，並且由分佈函數得到凈重子數密度和能量密度。
  7. The characteristic approximation is used to handle the convection part along the direc - tion of fluid namely characteristic direction to ensure the high stability of the method in approximating the sharp fronts and reduce the numerical diffusion ; the mixed finite element spatial approximation is employed to deal with diffusion part and approximate the scalar unknown and the adjoint vector function optimally and simultaneously ; in order to preserve the integral conservation of the method, we introduce the modified characteristic method

    該方法對方程的對流部分沿流體流動的方向即特徵方向離散以保證格式在流動的鋒線前沿逼近的高穩定性，消除數值彌散現象；對方程的擴散部分採用最低次混合有限元方法離散、同時以高精度逼近未知函數及未知函數的梯度；為保證方法的整體守恆性，在格式中引入修正項
  8. High - order compact - type schemes with rational and pad 233 ; approximation approaches

    逼近的高階緊致型方法
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