矩陣對角線 的英文怎麼說

中文拼音 [jǔzhènduìjiǎoxiàn]
矩陣對角線 英文
diagonal of a matrix
  • 矩 : 名詞1. （畫直角或正方形、矩形用的曲尺） carpenter's square; square2. （法度; 規則） rules; regulations 3. [物理學] moment
  • 陣 : Ⅰ名詞1 （作戰隊伍的行列或組合方式） battle array [formation]: 布陣 deploy the troops in battle fo...
  • 對 : Ⅰ動詞1 （回答） answer; reply 2 （對待; 對付） treat; cope with; counter 3 （朝; 向; 面對） be tr...
  • 角 : 角Ⅰ名詞1 （牛、羊、 鹿等頭上長出的堅硬的東西） horn 2 （古時軍中吹的樂器） bugle; horn 3 （形狀像...
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 矩陣 : [數學] matrix; array
  1. This can be extended to n x n tridiagonal matrices.

    這可以推廣到nXn三對角線的矩陣。
  2. The identity matrix of dimension n is a square matrix which contains ones along the diagonal and zeros in all other positions

    使這個n維矩陣的一個對角線上的元素為1 ，而其他位置為0 。
  3. This can be extended to nxn tridiagonal matrix with l, u bidiagonal.

    把它推廣到nxn三對角線矩陣使具有兩對角線的矩陣L、U。
  4. In this thesis, studies are focused on as follows : ( 1 ) based on analyzing the general transfer - matrix, the conception of the generalized double layer soil model is proposed, and the transfer - matrix ( r ) of half - infinite elastic mass is introduce - d to the analytic expressions of stress and settlement under the uniform circular, rectangular and strip vertical loads in multi - layered soil ; ( 2 ) according to the analytic expressions of the additional stress and settlement under unifo - rm circular in multi - layered soil, rectangular and strip vertical loads, the programs are develop - ed to resolve and debugged. the results show that the programs are correct ; ( 3 ) through calculating the coefficient of additional stress on the central axis of uniform circ - ular vertical loads, under the corner point of the uniform rectangular vertical loads, and on the central axis of uniform strip vertical loads, and the settlement on the center of uniform circular vertical loads and uniform rectangular loads in double - layered soil, the characters of stress and settlement are discussed ; ( 4 ) a case, as an example, is studied with different calculation methods, such as traditional theory, fem. the results obtained are compared

    本文在已有研究成果的基礎上進一步開展了以下幾方面的研究： （ 1 ）在對層狀地基傳遞矩陣法中的總傳遞矩陣分析的基礎上，提出了廣義雙層地基模型的概念，並把半無限體的傳遞矩陣r引入到多層地基在圓形垂直均布荷載、矩形垂直均布荷載及條形垂直均布荷載作用下附加應力與沉降的解析式中； （ 2 ）根據多層地基在圓形荷載、矩形垂直均布荷載及條形垂直均布荷載作用下附加應力與沉降的解析式，編制了程序，調試通過並驗證了其正確性； （ 3 ）通過對雙層地基圓形垂直均布荷載中心軸線上的附加應力系數和荷載中心沉降，矩形垂直均布荷載角點下的附加應力系數和荷載角點沉降及條形垂直均布荷載中心軸線上的附加應力系數進行的計算，探討了雙層地基中的附加應力與沉降特性； （ 4 ）應用本文的層狀地基體系理論對一個工程實例進行了計算分析，並與傳統的計算方法的計算結果和有限單元方法的計算結果進行了對比分析，結果表明利用層狀地基理論計算更能反映地基中附加應力分佈的實際情況。
  5. This can be extended to nxn tridiagonal matrix with l, u bidiagonal

    把它推廣到nxn三對角線矩陣使具有兩對角線的矩陣l 、 u 。
  6. When analyzing skew support continuous curved box girder bridge, curved grid girder analyzing method considering warping effect is applied. matrix displacement method is applied in analyzing skew support continuous curved thin - walled box girder bridge with restrained bearing. in order to convert original rigidity equations to structural rigidi ty equations that can be solved, bearing nodal displacement matrix can be introduced, then unknown quantities at the edge of beams can be consistent with the restrained directions of skew bearings, unit rigidity matrix and unit nodal forces can be gained. structural rigidity matrix can be composed according to matrix displacement method, so nodal displacements and inner forces on the end of the rod that are unknown can be gained calculating equations of inner forces on any cross - section can be solved

    分析斜支承連續曲線箱梁橋時，採用考慮翹曲作用的曲線格子梁分析方法，應用矩陣位移法對具有約束支承形式的斜支承連續曲線薄壁箱梁橋進行分析，考慮到支座的約束條件並不與梁端彎曲角位移和扭轉角位移的方向一致，引入支座節點坐標矩陣，使得梁端的位移未知量與斜支座約束方向一致，來計算單元剛度矩陣和單元節點力，然後按照矩陣位移法組集總剛並建立結構剛度方程，根據結構剛度方程即可求解未知的節點位移及桿端力，推導出任意截面處的內力計算公式。
  7. Finally, based on the approximation capability of gengeralized multilinear fuzzy logic systems ( gmfls ), a new scheme of decentralized adaptive fuzzy controllers for a class of multiple - input - multiple - output nonlinear systems with a triangular matrix function control structure is proposed

    最後針對一類具有下三角形矩陣函數控制增益的多變量非線性系統，並利用廣義多線性模糊邏輯系統的逼近能力，提出了一種分散自適應模糊控制器設計的新方案。
  8. Firstly, based on a modified lyapunov function and the approximation capability of the first type fuzzy systems, two new design schemes of decentralized adaptive fuzzy controller for two class of similar multivariable nonlinear continuous systems with a triangular matrix function control structure is proposed in this paper, respectively

    本文首先對兩類結構相似的具有下三角形矩陣函數控制增益的多變量非線性連續系統，基於一種修改的李亞普諾夫函數，並利用第一類模糊系統（即具有線性可調參數的模糊系統）的逼近能力，分別提出一種分散自適應模糊控制器設計的方案。
  9. In this paper, we characterize the linear operators preserving adjoint matrices on the spaces of all matrices, symmetric matrices and upper triangular matrices over domain

    摘要木文刻畫了整環上的全矩陣空間、對稱矩陣空間和上三角矩陣空間上保持伴隨矩陣的線性運算元的結構。
  10. In the first part, we study three kinds of pre - conditioners - - block - triangular preconditioner, constraint preconditioner and block - diagonal preconditioner respective1y and fast iterative so1vers for indefinite 2 by 2 b1ock linear systems with zero ( 2, 2 ) block. the spectrum and form of eigenvalues of each preconditioned nlatrix are presented. all of the three kinds of preconditioned linear systems are so1ved by gmres ( 20 ) and theii efficiencies are cornpared

    在第一部分中，我們研究了三種不同的預條件矩陣一塊三角預條件矩陣、約束預條件矩陣和塊對角預條件矩陣作用到2 2塊線性系統（其中右下角塊為零）以後的快速迭代解法，給出了預條件作用后系統的特徵值的譜和形式，比較了三種不同預條件作用后採用cmres （ 20 ）方法求解的有效性。
  11. Thirdly, based on the thought of motion - based ambiguity resolution, a bi - satellite attitude determination method using non - planar baselines is developed making full use of the satellites ’ geostationary property. focused on movement mode demands, the dissertation brings forward a method by large angle yawing movement accompanied with small angle pitch vibration to efficiently solve the rank deficiency problem of vehicle planar motion

    再次，在基於運動解模糊的思想基礎上，充分利用北斗衛星對地靜止的特性，提出了一種非共面基線的雙星定姿方法，並重點分析了對運動特性的要求，提出通過伴隨小幅俯仰擾動的大角度偏航運動方式來有效解決載體平面運動的觀測矩陣秩虧問題。
  12. He also noted that during the last great heyday of art and technology, the period in the late 1960s / early 1970s, for example the eat movement, most of the collaborations were between artists and engineers, the “ diagonals

    他也說起之前藝術和技術的那段全盛時期，即20世紀60年代末到20世紀70年代初的這段時間，例如eat運動，幾乎絕大部分合作作品都是由藝術家和工程師聯手創作的，即矩陣上的「對角線」 。
  13. An accelerated overrelaxation iterative method of linear systems with strictly diagonally dominant matrix

    具有嚴格對角占優矩陣的線性系統的加速超鬆弛迭代法
  14. Based on the results, chapter 3 obtains the necessary and sufficient conditions of the positive line a - doubly diagonally dominant matrices being non - singular m - matrices, by means of the nature of the associated digraph of matrices irreducible and weakly irreducible matrices. the results obtained simplify the process of judgment, only making us to check the related quantity involved in the circuit of the associate digraph of matrices

    第三章在已有結果的基礎上，藉助于矩陣的伴隨有向圖、不可約以及弱不可約矩陣的性質，得到了正線-雙對角占優矩陣為非奇異m -矩陣的充分必要條件，所獲結果簡化了判定過程，只需要對矩陣伴隨有向圖圈中所涉及到的相關量進行驗證即可。
  15. After analyzed and studied on some algorithms about how to simplify a complex 3d geometric model from home and abroad, this paper proposes the concept of divisional envelope pitch and ameliorates the method of envelope ' s conformation proposed by cohen using the dichotomy in linear search. when a triangle is selected and contracted tentatively, two corresponding divisional envelope pitches should be constructed at first. the divisional envelope pitch is a bit of the whole simplification envelope

    本文對當前國內外有關幾何模型的簡化演算法進行了分析和研究后，將三角形收縮簡化操作與包絡控制簡化誤差的方法相結合，利用一維線性搜索中的二分法改進了cohen提出的簡化包絡構造演算法；隨后又綜合簡化包絡的誤差控制方法和二次誤差矩陣的局部性誤差控制思想，提出了一種分解式包絡片的概念。
  16. Then, the hilbert transform is applied to each modal response to obtain the instantaneous amplitude and phase angle time histories. a linear least - square fit procedure is proposed to identify the natural frequency, damping ratios, physical mass, damping and stiffness matrices from instantaneous amplitude and phase angle for each modal response

    然後對各階模態響應進行hilbert變換，得到瞬態幅值和相位角的時間歷程，再運用線性最小均方擬合來識別自然頻率、阻尼比、質量、剛度和阻尼矩陣。
  17. Steel frame with welding joint easily occur brittle collapse because of having a low ductility at joints then ， a semi - rigid connected steel frame has large the energy absorption capacity which can resist dynamic loads and the using steel qualities of bracing system and joints are small so adopting a semi - rigid jointed steel frame is economical and stable but for semi - rigid connections are complex and variable ， in conventional analysis and design of steel structures ， it is usually assumed that the connections between columns and beams are either rigid or pinned the analysis of steel frames adopting the assumption can simplify the procedure of analysis and design ， but cannot precisely reflect structural practical circumstance and the errors of calculating results are large ， even ， get incorrect conclusions semi - rigid connection was referred to in chinese code for design of steel structures ( 2001 ， 10 ) ， however ， it isn ’ t specified how to apply semi - rigid joints in design in fact it cannot be carry out the purpose of the paper give a calculating method that accords practical engineering and easily put into effect worthwhile it is going to promote the development of semi - rigid jointed steel frame in design and heighten structural stability in the paper ， at first some commonly employed methods for the modeling of connection behavior are introduced richard abbott function modeling of connection is adopted for extended end plate bolted connection by the 34 test data comparing to regression analysis indicate richard - abbott function modeling of connection represents an excellent fit to test data then after a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring ， base on rotation and displacement equation derive the element stiffness matrixes with semi - rigid connections where the effects ofj ointed flexibility geometric non - linearity and shear forces in the connection deformations have been considered in and fixed - end forces are modified finally, a program for calculating semi - rigid with incremental - iterative method has been

    本文的目的就是為半剛性連接鋼框架的設計提供一種既符合工程實際又簡便易行的計算方法，供規范使用過程的補充、延伸或參考；同時，也將促進半剛性連接鋼框架設計技術的發展，為提高結構安全性能、節省工程成本發揮應有的作用。本文首先介紹了常見的幾種應用較為廣泛的樑柱連接彎矩轉角關系模型，在分析比較的基礎上，選用richard ? abbott函數模型作為外伸端板連接彎矩轉角關系模型，通過對34個外伸端板連接的實驗數據與回歸分析得到的參數比較可知，經回歸分析得到的此模型參數與實驗數據符合較好。然後用彈簧表徵連接點的轉動剛度，根據梁的轉角位移方程推導出半剛性連接的剛度矩陣，在單元剛度矩陣中考慮了節點柔性、幾何非線性和剪切變形的影響，並對固端力進行了修正，最後用增量迭代法編制有限元程序進行計算和分析。
  18. In the networks and controlling fields of engineering, many problems can be described as solving a system of linear algebraic equations ax - f, whose matrix of coefficients is large tridiagonal blocked matrix. the usual method of solving this kind of equations is the iterative method

    在工程領域，如網路、控制等方面，許多實際問題都可歸結為解一個系數矩陣a為大型分塊三對角矩陣的線性方程組ax = f這類方程組通常使用迭代方法求解。
  19. This can be extended to n x n tridiagonal matrices

    這可以推廣到n x n三對角線的矩陣。
  20. In order to obtain an elliptically polarized light, whose ellipticity angle to be invariable and the elliptical azimuth may continuously change, or the ellipticity angle may continuously change and the elliptical azimuth invariable, the polarization is analyzed based on the matrix optics method when the linearly polarized light transits the / 4 and / 2 wave - plates, which are placed according to the certain azimuth, the reliable data are obtained

    摘要為了獲得橢圓率角不變、橢圓方位角可連續變化和橢圓率角可連續變化、橢圓方位角不變的橢圓偏振光，採用矩陣光學方法對按一定方位角擺放的/ 4波片和/ 2波片，在線偏振光通過后的偏振態變化，進行了理論分析和實驗驗證，取得了可靠的數據。
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