theorem of lagrange 中文意思是什麼

theorem of lagrange 解釋
拉格朗日定理
  • theorem : n. 1. （能證明的）一般原理，公理，定律，法則。2. 【數學】定理。
  • of : OF ＝Old French 古法語。
  • lagrange : 拉格蘭格
  1. It is proven that these modified dual algorithms still have the same convergence results as those of the conceptional dual algorithms in chapter 2 and chapter 3. secondly, a dual algorithm is constructed for general constrained nonlinear programming problems and the local convergence theorem is established accordingly. the condition number of modified lagrange function ' s hessian is estimated, which also depends on the penalty parameter

    證明這些修正的對偶演算法仍具有同前兩章的概念性對偶演算法相同的收斂性結果，我們還進一步構造了一般約束非線性規劃問題的對偶演算法，建立了相應的局部收斂理論，最後估計了修正lagrange函數的hesse陣的條件數，它同樣依賴于罰參數。
  2. Focused on the asymptotic behaviour of mediant for fourth order lagrange ' s mean value theorem and obtained the main results as followed ( the equation is abbreviated )

    摘要對四階拉格朗日中值定理中間點的漸近性質進行了研究，得到的主要結果是（方程式略） 。
  3. A note on prouing of lagrange ' s mid - value theorem

    關于拉格朗日中值定理證明的注記
  4. Lagrange and cauchy differential mean value theorem on open interval are obtained based on generalized roll ' s theorem, which make it more expedient to study general character of function defined on open interval by means of derivative

    摘要基於推廣的羅爾中值定理，得到有限開區間上的拉格朗日中值定理及柯西中值定理，使得利用導數研究開區間上函數的整體性態更為方便。
  5. In the study of the lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. outside of a large disc, using the symplectic transformation of the hamilton system to estimate the iteration of the successor map. applying the moser ' s small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded

    在碰撞運動的lagrange穩定性的討論中，給出了漸近線性方程碰撞解有界或無界的條件，在充分大的圓盤外，通過hamilton系統的辛坐標變換的角度平均來估計后繼映射的迭代，應用moser小扭轉定理得到不變曲線從而給出在一定條件下碰撞解有界的證明，碰撞解無界性的證明將採用直接估計后繼映射的方法給出。
  6. Some new proofs of the lagrange mean value theorem

    中值定理證明方法的討論
  7. These methods are lagrange mean - value theorem, monotone function, extreme value of function, taylor formula, concave and convex function

    提出六種常用的方法，並指出每一種方法的適用類型、解決問題的關鍵和證明問題的具體步驟，最後結合實例說明方法的可用性。
  8. Chapter 2 establishes the theoretical framework of a class of dual algorithms for solving nonlinear optimization problems with inequality constraints. we prove, under some mild assumptions, the local convergence theorem for this class of dual algorithms and present the error bound for approximate solutions. the modified barrier function methods of polyak ( 1992 ) and the augmented lagrange function method of bertsekas ( 1982 ) are verified to be the special cases of the class of dual algorithms

    第2章建立求解不等式約束優化問題的一類對偶演算法的理論框架，在適當的假設條件下，證明了該類演算法的局部收斂性質，並給出近似解的誤差界，驗證了polyak （ 1992 ）的修正障礙函數演算法以及bertsekas （ 1982 ）的增廣lagrange函數演算法都是這類演算法的特例。
  9. Proving lagrange theorem mean through the introduction of auxiliary function, this article puts forword the methods of building auxiliary function by the mathematical operations and two functions compound operation ; this is a method building all elementary function by the basic elementary function, which is a way to solve the problem of the auxiliary function building

    摘要文章給出了用四則運算以及兩個函數的復合運算構造輔助函數來證明拉格朗日中值定理的方法，這也是用基本初等函數構造全部初等函數的方法，因而比較圓滿地解決了輔助函數構造問題。
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