symmetry transformation 中文意思是什麼

symmetry transformation 解釋
對稱變換
  • symmetry : n. 對稱；勻稱；調和；勻稱美。 bilateral symmetry 左右對稱。 radial symmetry 輻射對稱。
  • transformation : n 轉變，變化；變形；【生物學】（尤指昆蟲的）轉化，變態，改造，改革；變質；【數學】變換；【電學】...
  1. Then the structure unit of hexangular lattice is found according to the principle of invariable symmetry. renormalization transformation is processed when we regard the structure unit and the growth model as graphs before and after transformation respectively. after choosing the 11 thermodynamic function fugacity as parameter, we can write out the partition functions before and after transformation and the formula of renormalization transformation

    然後根據對稱性不變的原則，從整體晶格中選取結構單元，把結構單元和生長模型分別作為重整化變換前、后的圖形來進行重整化變換，選取熱力學函數易逸度為參量，寫出了重整化變換前後的配分函數和重整化變換關系式，求出了這一變換的不動點。
  2. The conclusions are reported as following : the structure change of triuranium octaoxide ( u3o8 ) was studied by xrd at ambient atmosphere at temperature form 25 to 850. there are two kind of phases of u3o8 in the temperature range studied, and the transformation temperature is about 300. the low temperature phase is orthorhombic with space group amm2, and it change to another phase with better symmetry around 300

    主要的研究結果如下：對u _ 3o _ 8的相變和結構隨溫度的變化進行的分析研究結果顯示：在300附近u _ 3o _ 8發生了相變，由底心正交結構（空間群為amm2 ）的低溫相轉變為簡單六方結構（空間群為p - 62m ）的高溫相。
  3. The spectral analysis of non - orthogonal functions cannot be obtained by orthogonal integration method. only the spectral analysis of some particular non - orthogonal functions can be realized by integral transformation. thus, the concept of reflection matrix is proposed and the mirror symmetry of spectral analysis for non - orthogonal function is revealed. any element functions whose reflection matrix can be obtained possesses its inverse element function. the spectral vector corresponding to an element function possesses its inverse spectral vector corresponding to the inverse element function. by reflection matrix the mapping relation of element function pair and spectral vector pair can be established. spectral analysis of non - orthogonal functions can be obtained with this symmetry by using the integration method as in the case of orthogonal functions, instead of calculating the inverse matrix as usual. so a convenient and practical method for spectral analysis of non - orthogonal functions is offered

    非正交函數不能利用正交積分來實現譜分解.僅有某些特殊的非正交函數可以通過積分變換實現譜分解.本文提出了反射陣的概念，揭示了非正交函數譜分析的鏡像對稱性.任何能夠建立起反射陣的元函數存在著它的逆元函數，並且任何基於該元函數的譜向量同時也存在著基於逆元函數的逆譜向量.元函數對與譜向量對通過反射陣建立映射關系.利用這種對稱性，非正交函數可以象正交函數一樣使用積分方法獲得譜分解結果，而不必使用求解逆陣的方法，從而為非正交函數的譜分解提供了便捷、實用的方法
  4. Supposed to be axial symmetry, the problem is put into the cylindrical coordinate, and through the laplace - hankel transformation, the equations are turn into differentia equations of constant coefficient. in the analyzing progress, dynamic transfer matrix is used t

    本文利用matlab中fzzzy具箱編程，通過有限的實驗數據和輸入專家知識對該系統進行訓練，可以解訣砂土液化的預測難題，算例的檢測結果表明其效果較好。
  5. Hi the aspect of symmetry analyzing to the hopfield model neural network with hebbian learning, we study on the dynamical behavior of the state space under the action of isometric transformation group g = z2 ? n, and prove the invariant property of the energy orientation ? / / " ) of the state space under the action of g. we find that the symmetry relationship of the network is sx - sw = sh when the active function of the neuron is odd, where sx is the symmetry of the patterns set x under hebbian learning rule, sh is the symmetry of the network and sw is the symmetry of the weight matrix w of the network

    ） s _ n為手段，研究了網路狀態空間在群g作用下各點的運動情況，證明了群g作用下的不變性。證明了當神經元的激活函數f為奇函數時， hebb法則下存儲樣本集x的對稱性s _ x 、網路對稱性s _ h以及連接矩陣對稱性s _ w三者之間滿足s _ x = s _ w = s _ h的關系；同時，我們還證明了：網路穩定態集vf同一s _ h軌道中的兩個穩定態的動力學行為（能量和吸引域大小）相同；兩個等距網路h和h 1 = g ? h ， （ ? ） g （
  6. For bilateral symmetry objects, the techniques on symmetry - point detection and symmetry - axis extraction are presented based on harmonic conjugation relationship. for rotated symmetry objects, the techniques on rotated units description and rotated symmetry center extraction are presented based on center invariants of objects. further more, by using 3d invariants and 2d projective transformation, an approach to recover shape from part symmetry objects is realized on some conditions

    （ 3 ）深入分析了2d對稱性目標透視成像的幾何特點，將共點四線交比用於目標輪廓上的關鍵點的特性描述中；利用調和共軛關系，提出了一種針對左右對稱型目標的對稱點檢測和對稱軸提取的演算法；利用交比關系構造了目標的形心不變量，提出了一種針對旋轉對稱型目標的旋轉對稱單元判定、旋轉中心提取的演算法；進一步利用3d不變量和2d射影變換，實現了一定條件下的對稱性目標的形狀恢復技術。
  7. 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
  8. The application of extended symmetry in orthogonal transformation

    拓展對稱在正交變換中的應用
  9. With the method of the lie group transformation, the symmetry of the equation governing one dimensional finite strain consolidation is discussed and, from the point of the symmetry, the feasibility to obtain the analytical solution of these nonlinear partial differential equations is discussed. where - after exact or approximate analytical solutions focused on different consolidation problems are obtained, these including : under some assumptions of relations of the void ratio with coefficient of permeability and effective stress, the method of lie group transformation is applied to solve the non - linear partial differential equation of large strain consolidation of homogenous saturated clay soil in semi - infinite domain with the consideration of the material and geometrical nonlinearity during consolidation procession. the implicit exact solution without considering the effect of self - weight of soil is obtained

    運用lie群變換方法討論了一維大應變非線性固結方程的對稱性，以及在該對稱性的意義下求解這類非線性偏微分方程解析解答的可能性，並就大應變非線性固結問題的多種情況求得了其完整的或者近似的解析解答，具體包括：基於有效應力與孔隙比以及滲透系數與孔隙比之間的關系的一些假定，採用李群變換求解考慮材料非線性和幾何非線性的半無限均質土體大變形固結非線性偏微分方程，得到了一個不考慮自重固結的完全解析解。
  10. The central idea in this book is that art is indeed an embodiment of about ten meta - patterns of organisation which i have called " mindprints ", such as : connectivity - disconnectivity, symmetry - asymmetry, hierarchy - randomness, transformation - invariance, complementarity - mutual exclusiveness and others

    本書的核心觀念是：組織狀態有大約十個元模式，我稱之為「心印」 ，諸如聯結性?拆解性、對稱性?不對稱性、等級性?任意性、轉化性?恆定性、互補性?排異性以及其他一些，而藝術確實就是這些心印的一種體現。
  11. The contributions of this dissertation is listed below. aiming at existing defects of traditional beeline detection by hough transformation ( ht ) arithmetic, such as large storage space consuming, imprecise beeline detection effect and information loss of image feature pixels etc, we suggest two new beeline detection methods. ( 1 ) based on infinite symmetry exponential filter and its recursion arithmetic, new beeline detection methods can get exact direction of image edge pixels in advance, so it reduces highly the calculation quantity of the conventional ht, and improves the speed and the precision of beeline detection greatly

    本論文的主要研究成果列舉如下：針對傳統直線檢測霍夫變換（ houghtransform ， ht ）所存在的參數空間存儲量大，直線檢測不精確以及圖像特徵點信息丟失等缺點，提出兩種新的直線段檢測演算法： （ 1 ）提出一種基於無限對稱指數濾波的ht直線段檢測演算法，在進行邊緣檢測的同時，提前精確定位邊緣點的方向，減少了ht的運算量，提高了運算速度和檢測精度，而且整體演算法便於硬體的并行執行，使得實時處理成為可能。
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