euclidean domain 中文意思是什麼

euclidean domain 解釋
歐幾里德定義域
  • euclidean : adj. 【數學】歐幾里得的。
  • domain : n 1 領土,版圖;領地。2 管區,勢力圈;(特定動物等的)生長圈;(學問、活動等的)領域,范圍;【物...
  1. In the last part of the paper, we derive the euclidean equation of motion of the magnetic vector in a theoretical magnetic film consisting of biaxial - anisotropic molecular ferromagnets, which is reduced to the 2 + 1 dimensional sine - gordon field equation in the strong anisotropy limit. we obtain various domain structures which are the static solutions of the sine - gordon field equation

    最後考慮由雙軸各向異性分子磁體形成的理想無界膜,在強各向異性極限下,採用半經典近似方法,將磁化矢量的時空運動方程約化為2 + 1維sine - gordon場方程,從而得到各類疇結構。
  2. In 1860, schrodinger first put forward the concept " schrodinger equations " in quantum mechanics and since then, the study on schrodinger equations has never stopped, for the mathematical description of many physical phenomena belongs to the field of schrodinger equations, such as nonlinear optic, plasma physics, fluid mechanics etc. as for the form of schrodinger equations, linear schrodinger equations was gradually replaced by nonlinear schrodinger equations ; as for the methods of solving schrodinger equations, the modulus estimate of energy, the principle of contraction mapping, fourier transformation and harmonic analysis are used ; as for the space of the solutions, many people have worked on the problem in bounded domain, euclidean space of dimension n, periodic bounded conditions and mixed regions and they also combined it with the generalization from low dimension to high dimension

    ) dinger方程,如非線性光學、等離子物理、流體力學[ 21 ]等;在方程形式上,從線性schr ( ? ) dinger方程到非線性schr ( ? ) dinger方程;在處理方法上,用能量模估計、壓縮映象原理和fourier變換調和分析等;在方程解空間上,研究有界區域、 n維歐氏空間、周期性有界區域和混合區域等,並且結合從低維向高維推廣。
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