線性變換矩陣 的英文怎麼說

中文拼音 [xiànxìngbiànhuànjǔzhèn]
線性變換矩陣 英文
matrix of a linear transformation
  • 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...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 換 : 動詞1. （給人東西同時從他那裡取得別的東西） exchange; barter; trade 2. （變換; 更換） change 3. （兌換） exchange; cash
  • 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...
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  • 矩陣 : [數學] matrix; array
  1. The equations of motion governing the axisymmetric elastic deformation of finite orthotropic cylindrical shells, involving the effect of transverse shear and rotational inertia, are derived. by applying the reverberation method, the displacement and the resultant forces of the shell in the phase space are expressed. then the transient waves in the finite orthotropic cylindrical shell subjected to the axisymmetric impact are obtained by using inverse laplace transforms. furthermore, the transient solutions are decomposed to the generalized ray integrals and computed numerically

    分析了計及剪切變形和轉動慣性的有限長正交異性圓柱殼中彈性瞬態波的傳播問題，採用回傳矩陣法，在相空間中給出了位移和內力的表達式。再利用laplace逆變換，得到正交異性圓柱殼受軸對稱沖擊作用時彈性瞬態波解，然後將其分解為若干廣義射線積分之和，並用數值方法求解之。
  2. 2. dynamics analysis : by setting up jacon matrix differential coefficient sport is passed to descartes space. it makes terminal executing manipulator produce differential coefficient of acceleration and force in every different coordinates can be got. then the effective inertia, coincident inertia and gravity load of two manipulators are calculated by lagrange method. so generalized joint torque of each joint is got, and along with equivalent driving torque, actual driving torque of each joint can be worked out. 3

    動力學分析：建立雅可比矩陣將關節空間的各關節的微分運動傳遞到笛卡爾空間，使末端執行器位姿產生微分運動，以用於求加速度及力在不同坐標系間的線性變換，再用拉格朗日法計算兩機械手的有效慣量、偶合慣量、重力載荷，從而計算得到各關節的廣義關節力矩，並與等效驅動力矩共同算得各關節的驅動力矩。
  3. Coordinate transformation, matrix, vectors, newton ' s law, conservation theorems, simple harmonic oscillator, non - linear oscillations, gravitation, euler ' s equation when auxiliany condition are imposed, the delta notation, lagrangian and hamilitonian dynamics, central - force motion, dynamics of a system o f particles, motion of noninertial reference frame, dynamics of rigid body, coupled oscillations, orthogonality of the eigenvectors, continuous system

    座標變換、矩陣、向量、牛頓定律、守恆定律、簡諧振動、非線性振動、引力、尤拉式方程式及附加條件、符號、拉格蘭及漢米爾頓力學、中心運動、多粒子系統動力學、非慣性參考座標運動、剛體動力學、耦會振動、本微向量正交性、連續系統。
  4. In this paper, we study inversionless lasing of frequency up - conversion in an open v - type system with incoherent pump. making theoretical analysis and numerical calculation by density - matrix equations of motion, we derive the conditions for the onset of lwi and discuss the effects of the parameters of the system, the detuning of driving field and probe field on the gain, and discuss nonlinear effect in the frequency up - conversion regime. we also give stability and transient analysis

    本論文研究了具有非相干泵浦的開放v型系統頻率上轉換無粒子數反轉激光，利用密度矩陣運動方程，通過理論分析和數值計算，得出該系統產生無粒子數反轉激光的條件，討論系統各參數的變化和驅動場與探測場的失諧對激光增益、色散和粒子數差的影響，還討論了頻率上轉換區域的非線性效應，分析了增益的穩定性及系統的瞬態演化過程。
  5. This paper suggests that the integral of the state equation is evaluated directly through the exponential matrix based on the pim, thus several series solutions are obtained. utilizing the symmetry of matrices and the idea of substructure, the computational precision and efficiency of the pim are improved

    本文深入研究精細積分及動力方程演算法，基於指數矩陣計算、 pade逼近理論，在時域上對非線性動力狀態方程直接積分求解，構建若干系統響應求解格式，並分析了演算法精度、效率；通過矩陣變換，利用矩陣對稱性、子結構等方法改進精細積分計算效率。
  6. Afterwards, the main subjects and research background of this essay are expatiated. aimed at target tracking under non - linear measurement, this paper extends two - dimension cmkf algorithms to three - dimension, uses canonical transform to obtain decoupled cmkf algorithm which makes the theoretical analysis for the algorithm easily

    針對非線性觀測下的目標跟蹤問題，首先將二維cmkf跟蹤演算法推廣到三維情況，然後基於正規變換技術提出了解耦的cmkf演算法，得到了正規變換矩陣的解析表達式，可以方便地對演算法進行理論分析。
  7. The brief proof is given for " row elementary operations keep the linear relationship of column vectors of matrix ", by using multiplication of partitioned matrix and the relation between elementary matrix and elementary operation

    摘要利用初等矩陣與初等變換的對應關系及分塊矩陣的乘法，給出「矩陣的行初等變換不改變其列向量組的線性關系」的一個簡易證明。
  8. In this dissertation, with the aid of many types of constructive transformations and symbolic computation, some topics in nonlinear waves and integrable system are studied, including exact solutions, painleve integrability, backlund transformation, darboux transformation, symmetry ( similarity reduction ), conditional symmetry, lax integrable hierarchy, liouville integrable n - hamilton structure, constraint flow, involutive system, lax representation, r - matrix, separation of variables and integrable couplings. chapter 2 and 3 are devoted to investigating exact solutions of nonlinear wave equations : firstly, the basic theories of c - d pair and c - d integrable system are presented

    本文以構造性的變換及符號計算為工具，來研究非線性波和可積系統中的一些問題：精確解（如孤子解、周期解、有理解、 dromion解及compacton解等） 、 panileve可積性、 backlund變換、 darboux變換、對稱（相似約化） 、條件對稱、 lax可積族、 liouville可積的n - hamilton結構、約束流、對合系統、 lax表示、 r -矩陣、變量分離及可積的耦合系統
  9. The energy eigenvalue, eigenfunction, matrix elements of coordinate and momentum operators in energy representation, and evolution operator for a two - dimentional coupled oscillator are presented by using the general linear quantum transformation theory

    摘要運用廣義線性量子變換理論，給出一類二維耦合量子諧振子的能量本徵值、本徵函數、坐標和動量算符在能量表象中的矩陣元及演化算符。
  10. Several steps of the work have been done to achieve the system. first is to analysis the camera model and imaging transformation by homogeneous reference frame

    作者在實現該系統中，首先分析攝像機的成像模型以及如何在齊次坐標下用線性矩陣分析物體的成像變換問題。
  11. In chapter 3, the non - linear equation was linearized with the jacobi matrix, and then the linearized equation was transformed into fixed frame to analyze the stability problem with eigenvalue method ( on - ground or hovering ) or floquet theory ( forward flight ). meanwhile, the equation was perturbed by sweep frequency excitation from steady state to get transit decay of lag response which was then transformed into fixed frame with a numerical fourier coordination transformation ( fct ). the fixed frame response along with the body response was analyzed via an fft to determine modal frequencies

    然後，在穩態響應的基礎上利用雅各比矩陣對非線性方程進行了線化，線化后的方程利用多槳葉坐標變換轉換到固定系下后，利用直接特徵值分析（地面、懸停）或floquet理論（前飛）對系統進行了穩定性分析;同時，對系統進行了瞬態響應分析;在系統達到穩態的基礎上進行掃頻激勵，用fft變換求得系統頻率，進而用移動矩形窗方法分析得到系統的阻尼。
  12. The linear algebra as a branch of mathematics is the science, which takes matrix theories as center and limited dimension vector space combining with matrix, namely the theories of the linear space and linear transformation, as the object

    線性代數是代數學的一個分支，它以矩陣理論為中心，以與矩陣結合的有限維向量空間即線性空間和線性變換的理論為對象的一門科學。
  13. On the other hand, as to the time domain methods, based on lyapunov - krasovskii function method, riccati equation method, linear matrix inequality technique, along with the skills of equality and inequality transformations, the robust stabilization and robust h control problems are studied via state feedback for some kinds of uncertain time - delay systems, and delay - independent as well as delay - dependent results are obtained

    時域方法方面基於lyapunov - krasovskii泛函方法、 riccati方程方法、線性矩陣不等式（ lmi ）技術，以及代數等式、不等式變換技巧等主要處理手段，通過狀態反饋分別研究了不確定時滯系統的魯棒鎮定及魯棒h控制問題，得到了時滯無關和時滯依賴兩種不同結果。
  14. 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。
  15. Through the equivalent transformation between the linear combination relation of the father - son state in the state equations and the incidence relation of the father - son state nodes in the weighted network, it is realizable to build the block contact of the general structure and the system state variable is the earliest starting time, and collect the incident matrices of the dividing branch nets in whole net, then the parameter matrices of the state space model are obtained

    通過狀態方程中父狀態與各子狀態之間的線性組合關系與塊網中父狀態結點和各子狀態結點之間的帶權父子關聯關系之間的等價轉換，實現以工序的最早開工時刻為狀態變量的系統狀態模塊和泛模塊的介面與提取總網「劃分子網」的關聯矩陣得到狀態空間模型的參數矩陣。
  16. Nilpotent matrix and nilpotent linear transformation

    冪零矩陣和冪零線性變換
  17. In the charter five, the characters and mathematical structures of r - iago generation space are researched by the mathematical methods, the conception of mapping in grey generating space put forward, and the properties that ago and iago are not only the linear transformation, but also the power transformation

    第五章通過代數方法研究卜iago生成空間的性質和代數結構，提出了生成空間中映射的概念，並從數學上證明了累加生成與累減生成既為線性逆變換，又為冪變換，並得到它們的變換矩陣。
  18. Third, to make the vehicle meet the performance index in full flight envelop, a h gain - scheduled controller based on linear varying parameter ( lpv ) system are designed. a lpv plant with a linear fractional dependent variable can be represented by upper lft ( linear fractional transformation ) interconnection. with this technique, the overall control problem can be transformed to a traditional robust control problem, and the ultimate results are given by solving a series of linear matrix inequalities ( lmis )

    通過把非線性系統簡化為了線性變參數系統（ lpv ） ，再有通過線性分式變換（ lft ）將lpv系統轉化為一個線性定常系統和不確定性組成的lft互聯形式，使之轉換成為一個經典魯棒控制問題，然後通過求解一組線性矩陣不等式（ lmis ）得到變增益h _控制器。
  19. You can apply linear transformations rotation, scaling, and the like to color vectors by multiplying the color vectors by a 44 matrix

    可通過用44矩陣乘以這些顏色矢量將線性變換（旋轉和縮放等）應用到顏色矢量中。
  20. If you add a dummy fifth coordinate for example, the number 1 to each of the color vectors, you can use a 55 matrix to apply any combination of linear transformations and translations

    如果在每個顏色矢量中再添加一個虛擬的第5坐標（例如，數字1 ） ，則可使用55矩陣應用任何組合形式的線性變換和平移。
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