linear manifold 中文意思是什麼

linear manifold 解釋
線性廖
  • linear : adj. 1. 線的，直線的。2. 長度的。3. 【數學】一次的，線性的。4. 【動、植】線狀的；細長的。5. 由線條組成的，以線條為主的，強調線條的。
  • manifold : adj 1 許多的；種種的，多樣的，多方面的，五花八門。2 由許多部分形成的。n 1 復寫本。2 【機械工程】...
  1. We first set up the hiberarchy of the nmm ’ s visualization and focus on the study of pem ’ s visual process. then the coupling equation of pem is deduced and a rapid algorithm for solutions of bordered tridiagonal linear equations is put forward. in the last of the thesis, elementary system of deformation geometry unified for manifold ’ s structure is studied primarily via the idea of unified modeling and some theoretic results for analytical visualization are given out under the system of frenet frame of arbitrary parameters

    文章結合nmm的基本原理和特點，研究了nmm可視化的有關理論和方法;文章首先建立了nmm可視化的層次結構，重點對面素單元法（ pem ）的可視化過程進行了細致研究，推導出了pem的耦合方程，然後給出加邊三對角方程組的一種快速求解演算法，最後還從統一建模的思想對統一于流形結構變形幾何的基本體系進行了初步研究，得到了任意參數形式下frenet標架體系的若干適用於解析可視化的理論結果。
  2. The single - valued metric operator part of linear manifold in banach spaces

    空間中線性流形的單值度量投影運算元部分
  3. The representive of metric projection on the linear manifold in arbitary banach space

    空間中線性流形上的度量投影的表達式
  4. The optimal approximation of generalized skew - symmetric matrices on the linear manifold

    線性流形上廣義次對稱矩陣的最佳逼近
  5. The expression of best approximation operator on linear manifold in arbitary banach space

    空間中線性流形上的最佳逼近運算元的表達式
  6. The optimal approximation of generalized anti - skew - symmetric matrices on the linear manifold

    線性流形上廣義反次對稱矩陣的最佳逼近
  7. Least - squares solutions for inverse problem of anti - hermitian generalized anti - hamiltonian matrices on the linear manifold and optimal approximation problem

    線性流形上反埃爾米特廣義反漢密爾頓矩陣反問題的最小二乘解及其最佳逼近問題
  8. Based on the above - mentioned matter, the application of toc to the product mix problem was studied home in this article. the product mix decision problem was divided into simplex resource constrains and manifold resources constrains by enterprise ’ constrain resources, and their solution steps according to toc ’ s five key steps ameliorated were presented. some material examples were solved by toc ’ s five steps technique, linear programming ’ s simplex method and familiar accounting technique ( variational cost technique and full cost technique )

    文章依據企業約束資源的多寡，將產品組合決策問題分單一資源約束與多種資源約束兩種情況進行了討論，通過對約束理論五步驟法的適當調整，給出了它們各自的約束理論解法的解題步驟，結合具體的算例，分別利用約束理論五步驟法、線性規劃的單純形解法和常見的會計學的變動成本法和完全成本法進行了求解，並對約束理論解法、線性規劃解法和會計學解法進行了適當的比較分析，證明了產品組合決策問題約束理論解法的有效性和先進性。
  9. In section 4. 2 we analyze its main idea and algorithm in detail, two relevant theorems included ; section 4. 3 provides plenty instances so to explain its nonlinear dimension reduction ability, section 4. 4 propose a combined method that integrates the advantage of various methods. in section 4. 5 we analyze some significant problems in lle, including the locality of manifold representation, the choice of the neighborhood, the intrinsic dimension estimation and the parametric representation of mapping. in section 4. 6 we design an algorithm for estimating the intrinsic dimension in the base of locally linear approximation and discuss the choice of its parameters

    第四章是本文的重點內容，研究一種全新的非線性降維方法? ?局部線性嵌入方法，對它的思想和演算法進行了詳細的分析，給出演算法兩個相關定理的證明；第三節對比主成分分析，通過實例說明局部線性嵌入方法的非線性降維特徵；第四節在此基礎上提出了旨在結合兩者優勢的組合降維方法；第五節提出了局部線性嵌入方法中存在的若干關鍵性問題，包括流形的局部性、鄰點的選擇、本徵維數的估計和降維映射的表示，第六節基於局部線性近似的思想提出了一種本徵維數的估計方法，設計了實用演算法，結合實例對演算法中參數的選取進行了討論；最後一節提出了一種基於局部線性重構的圖形分類和識別方法，將其應用於手寫體數字的圖像分類識別實驗，實驗得到的分類準確率達96 . 67 。
  10. This paper deeply studies the manifold learning method called locally linear embedding ( lle ) and improves it. the main achievements in this paper are as follows : 1. it summarizes the development of manifold learning currently, analyzes the characteristic of nonlinear dimensionality reduction methods, compares the virtues and drawbacks, and makes correlative computer experiments

    本文主要對基於流形學習的局部線性嵌入（ lle ）演算法進行了深入的研究與改進，具體工作包括以下四部分: 1 .簡要綜述了當前流形學習的發展概況，對現有各種非線性降維方法的特點進行分析，比較優點和不足，並進行了相關的計算機模擬實驗。
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