linear system of equations 中文意思是什麼

linear system of equations 解釋
線性方程組
  • 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。
  • system : n 1 體系，系統；分類法；組織；設備，裝置。2 方式；方法；作業方法。3 制度；主義。4 次序，規律。5 ...
  • of : OF ＝Old French 古法語。
  • equations : 方程式
  1. Many scientists and mechanists, such as euler, prager, green, ericksen, hill, truesdell, eringen, made great contribution in this field and developed a general theoretical system. however, there still remain a lot that should be further investigated. this thesis discusses the linear theory of field of elastic solids subjected to additional deformation, and the corresponding virtual work equations and the displacement - based variational principle

    本文第一章述評了由euler開創的，經prager 、 green 、 ericksen 、 hill 、 truesdell和eringen等學者發展並成功應用的附加變形或運動的思想，作為后續各章的基礎。
  2. For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures

    對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。
  3. Row action method for system of linear equations with substructure

    線性方程組子結構行處理法
  4. Established the system of coordinates of roll testing, getting the parameters of equation of tooth face by solving the non - linear equations set ; according to the differential geometry and meshing principle, deduce the curvature parameters of tooth face and tooth profile, and get the parameters of instantaneous contact ellipse. emulate the contact trace and contact area of the working tooth face, and drawing the instantaneous drive ratio error curve

    建立了克林貝格擺線齒錐齒輪嚙合分析的對滾模型，通過對非線性方程組的迭代求解，得到齒面方程的各個參數;由微分幾何和切齒嚙合原理推導了齒面上齒廓和齒線方向的曲率參數，得到了瞬時接觸橢圓的參數。根據設計參數和機床調整參數繪制了工作齒面的接觸軌跡和接觸區圖形，並求得了瞬時傳動比的誤差曲線。
  5. Firstly, in order to treat the local weakened effect of the crack on the shaft, the equivalent line - spring model is built. then the constitutive equations are derived and the flexibility model of the rotating shaft is discussed. based on the lagrange equations, the non - linear dimensionless differential equations of the single rotor system with the disk and crack located at an arbitrary position of the shaft are obtained

    首先為處理裂紋對軸的局部削弱作用，提出了等效線彈簧模型，推導了線彈簧彈性本構關系，獲得了裂紋轉動軸的柔度模型，然後，應用lagrange方程建立了盤和裂紋處于軸任意位置的無量綱的單盤轉子系統的非線性運動控制微分方程。
  6. 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。
  7. Comparison between projection methods and jacobi iterations for system of linear equations

    迭代法和投影法之比較
  8. New method in solving linear system of equations

    求解線性方程組的一種新方法
  9. Application of 0. 618 method in solving the linear system of equations

    黃金分割法在求解線性方程組中的應用
  10. In chapter 3, we give an equivalent form of semi - infinite programming, and a locally convergent ssle method is proposed for sip. we only need solve a linear system equations and a subproblem with a parameter per step, also a modified algorithm which saves cost of computations is given, at the end of the paper, we give a proof of the convergence for the algorithms

    第三章通過適當的變形，得到半無限規劃問題的一個等價形式，並給出一個局部收斂的序列線性方程組演算法，這個演算法在每一步，只需求解一個線性方程組和一個帶參數的非線性子問題，證明了演算法的收斂性，同時，給出了一個修正演算法，與前面演算法相比較，修正演算法節約一定的計算量，同樣具有較好的收斂性。
  11. The paper summarized the common linear and nonlinear mathematics model in the research of mechanism science, focusing on the comment on the methods to solve nonlinear algebraic system of equations

    文中概述了機構學研究中常見的線性和非線性數學模型，著重述評了非線性代數方程組的各種解法。
  12. Row action method for general solution of system of linear algebraic equations

    線性代數方程組行處理法分治策略
  13. Column action method for fundamental system of solutions of homogeneous of linear equations

    線性代數方程組通解行處理法
  14. Pre - symmetry regularized method for positive definite symmetrizable system of linear algebraic equations

    關于正定可對稱化線性代數方程組的預對稱正則化演算法
  15. In finite element analysis, the storage needed by a total stiffness matrix for solving a large - scale system of linear equations is related to the sequence determined by numbering of mesh nodes

    摘要在有限元分析中，求解高階線性代數方程組時整體剛度矩陣所需存儲與由網格結點編號決定的順序有關。
  16. End of interative process within row action method for system of linear equations

    線性方程組行處理法迭代終止條件
  17. The non - existence of radially non - increasing positive solutions is derived for a system of quasi - linear elliptic differential equations first of all

    摘要首先得到一類擬線性橢圓型方程組正解的先驗界估計和衰減性質，從而推出該方程組的徑向非增正對稱解的不存在性結果。
  18. This paper bring out design method of inverse eigenvalue problem, which adapts to general structures with linear parameters, namely coefficients of all or partial elastic component and inertial component are treated as design parameters, for given some order natural frequency and corresponding vibrating mode, all of useable designing parameters will be got through solving a linear system of equations, thereby stiffness matrix and mass matrix of actual structure are constructed. this paper also discusses existence condition and unique of results

    提出了適用於具有線性參數的一般結構的逆特徵值問題的設計方法，即以系統的全部或部分的彈性元件與慣性元件的系數為設計參數，對于預先給定的若干階固有頻率及相應振型，通過求解一線性方程組即可確定全部實際可行的設計變量，從而構造出實際結構的剛度矩陣和質量矩陣，並論證了解的存在性與唯一性。
  19. The main achievements are as follows : 1. based on the idea to blend a nuat b - spline curve with a singularly parameterized polygon according to parameter, a local interpolation method is presented for nuat b - spline curve, by which a c ~ 2 nuat b - spline interpolating curve of order 4 without solving a global linear system of equations is generated. 2

    主要研究結果如下: 1 .提出了一種局部插值方法，將一條nuatb樣條曲線和一個奇異參數化多邊形按混合因子相混合，不需求解方程組就能生成一條c ~ 2連續的四階nuatb樣條混合插值曲線
  20. It gives a new expression method for the solution of often coefficient linear siuu1taneous differential equation, with the aid of uneven sublinear system of equations ' s standard base solution matrix nature, gradually approximation, derivative principle, the text give the limited form of this system of equations solution and the developments for the contents of literature

    摘要提出了常系數線性微分方程組解的新的表達方式，藉助齊次方程組的標準基解矩陣的性質、逐步逼迫法、導數法則，給出了這個方程組解的有限形式。
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