geometrical symmetry 中文意思是什麼

geometrical symmetry 解釋
幾何對稱
  • geometrical : adj. 1. 幾何學的,幾何圖形的。2. 按幾何級數增長的。adv. -rically
  • symmetry : n. 對稱;勻稱;調和;勻稱美。 bilateral symmetry 左右對稱。 radial symmetry 輻射對稱。
  1. The fractal is a geometrical figure with self - similar symmetry, and it is an important tool for characterizing irregular structures in nature that are self - similar on certain length scales. for example, the koch curves can be viewed as a mathematical model for coastlines, percolation model can be used to mimic mixture of mental and insulator, self - avoiding walks can serve as a model for linear polymers, and rock fracture mode can stimulate the process of brittle fracture of rock, and so on

    分形是具有自相似對稱性的幾何圖形,可用來模擬自然界中在一定尺度范圍內具有自相似對稱性的不規則結構,如koch曲線可用來模擬海岸線,滲流模型可模擬金屬絕緣體混合物,自迴避無規行走模型可模擬線性聚合物,巖裂模型可模擬真實巖體的脆性破裂等。
  2. 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。
  3. And the researches of the article have been done as follows : firstly, about the adjustment of rotation, a method, based on susan corner detection algorithm, is presented in the thesis. and the rotated image is rectified exactly by the symmetry of the portrait image and the invariant to rotation of shoulder corner. then the detail of images is preserved by the approximately geometrical processing based on the bicubic interpolation algorithm

    具體工作如下:第一,在旋轉調整方面,本文採用了一種基於susan角點檢測的演算法,利用了人像所具有的對稱性以及肩部拐點旋轉不變特性比較準確的實現旋轉校正;並採用了雙三次插值方法對圖像作幾何近似處理,很好的保持原圖像的細節。
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