homogeneous ellipsoid 中文意思是什麼

homogeneous ellipsoid 解釋
均勻橢球
  • homogeneous : adj. 1. 同種的，同質的，同性的，相似的。2. 純一的，均質的；均勻的。3. 【數學】齊性的，齊次的。adv. -ly ,-ness n.
  • ellipsoid : n. 【數學】橢圓；橢（圓）球。 ellipsoid of stress 應力橢（圓）面。
  1. But before yin weiping constructed hua domains, only there are two types of domains on which the bergman kernel functions can be obtained explicitly : the bounded homogeneous domains and the complex ellipsoid domains in some cases

    能夠求出bergman核函數的顯表達式的域的種類並不多。在殷慰萍構造華羅庚域以前，只有兩種類型的域可以求出bergman核函數的顯表達式。
  2. For some non - symmetric homogeneous domains, we can also get the explicit formulas of their bergman kernel functions by hua method [ xu4 ] [ gi ]. we know the complete orthonormal system of the bounded reinhardt domain made up of monomials, and complex ellipsoid domain is the bounded reinhardt domain, so the explicit formulas of the bergman kernel functions are obtained by summing an infinite series in some cases ( called method of summing series )

    對於一些非對稱的齊性域，也可以用華羅庚方法得到它們的bergman核函數的顯表達式我們知道，有界reinhardt域的完備標準正交系由單項式組成，而復橢球域是包含原點且以原點為中心的有界reinhardt域，於是可以通過無窮級數求和函數的方法，計算其bergman核函數的顯表達式，這種求bergman核函數的顯表達式的方法稱為級數法。
  3. Discrete approach with 15 ' 15 ' grid is adopted in order to numerically simulate and calculate the gravitational potential field generated by the homogeneous rotation - symmetric ellipsoid, and it is verified that the method, the fictitious compress - recovery and the fictitious downward continuation of the gravitational field, is reliable and valuable at the relative accuracy level higher than 10 ^ ( - 4 )

    摘要採用15 ' 15 '網格離散化手段對均質旋轉對稱橢球體產生的引力位場進行了數值模擬計算，在相對精度優於10 ^ （ - 4 ）的水平上，驗證了引力位虛擬壓縮恢復法以及重力場虛擬向下延拓法的可靠性和有效性。
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