橢球函數 的英文怎麼說

中文拼音 [tuǒqiúhánshǔ]
橢球函數 英文
ellipsoidal function
  • 橢 : Ⅰ形容詞（卵形） oval-shapedⅡ名詞[書面語] （長圓形的容器） elliptic vessel
  • 球 : 名詞1 （以半圓的直徑為軸 使半圓旋轉一周而成的立體; 由中心到表面各點距離都相等的立體） sphere; glo...
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  1. The hybrid algorithm raises the convergence rate of the conjugate gradient method and solves the problem for which the convergence rate of the steepest descent method get slower when the isopleth of goal function is oblong

    這種混合優化演算法結合了共扼梯度法和最速下降法產生搜索方向，既提高了共扼梯度演算法的收斂速度，又解決了目標函數的等值線是扁長橢球時，最速下降法下降緩慢的問題，具有收斂速度快、收斂范圍大、適應面廣等特點。
  2. Reconstructing the acoustic pressure field using spheroidal wave functions

    用長旋轉橢球函數重構聲場
  3. It also roundly researched the solution of the helmholtz equation in the circumrotating ellipsoidal coordinates, and discussed how to calculate the solution of the electro - magnetic field in the circumrotating ellipsoidal coordinates using special functions, and researched circumrotating ellipsoidal cavity ’ s latent value and quality parameter using arithmetic simulation, finally we compared the ellipsoidal cavity with the spheriform cavity. the main content of this thesis are as following : 1. calculated the distribution of the electro - magnetic field inside the ellipsoidal cavity based on maxwell equations and boundary conditions, and confirmed the syntonic mode inside the ellipsoidal cavity using arithmetic methods

    本文從maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，較為全面的研究了旋轉橢球坐標系下赫姆霍茲方程的解的問題，討論了用特殊函數來求解旋轉橢球坐標系下電磁場的解，並通過數值模擬研究了旋轉橢球諧振腔的本徵值和品質因數，並和球形諧振腔做了比較，主要內容為: 1 .用maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，並且分析了橢球腔內的諧振模式。
  4. Abstract : from a universal formula for calculating the attenuation cross section of particles in arbitrary shapes, exact expressions for calcualting the attenuation cross section of polydisperse, small spheroids, whose rotary axes are in specific status, have been derived. attenuation cross sections of both liquid and ice particles in different shapes at different wavelengths in microwave band have been computed and analyzed. the results are informative to microwave remote sensing of precipitation

    文摘:從計算任意形狀粒子的衰減截面普遍公式出發，推導出了小旋轉橢球粒子群旋轉軸處于不同狀態時的衰減截面函數表達式，並計算分析各種狀態下衰減截面隨降水粒子相態、形狀和入射波波長的變化特徵，所得結果可用於降水微波遙感。
  5. 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。
  6. Effective dielectric response of ellipsoid composites in which the dielectric function of the grains have the form of ( the equation is abbreviated ) ) embedded in a host medium is investigated in dilute limit based on perturbative expansion method, and general expressions for the effective linear dielectric function and ( - 1 ) - order nonlinear susceptibility of the two - phase system are derived in this paper

    摘要利用微擾展開法討論了任意階弱非線性橢球顆粒復合體系（假定顆粒組分的介電函數隨場變化，表示為（方程式略） ）的有效介電響應，導出了稀釋極限下兩組分橢球顆粒體系的有效線性和有效（ + 1 ）次非線性系數的一般表示式。
  7. To machine the honeycomb sandwich, an interpolation method based on a rotary axis is also studied. with the round vector function and rotary movement group, a model of the error curved surface of the theoretical ellipsoid is set up to describe the actually measured surface

    以圓矢量函數和回轉運動群為工具討論了曲面的誤差變換，利用理論橢球面的誤差曲面建立了實測曲面的數學模型，通過求解理論曲面的法線實現了實測曲面的等距計算和陰陽面數據轉換。
  8. 2. we present a solution to the scattering of gaussian beams by a concentric multilayered non - confocal spheroidal particle by taking a concentric two - layered one as an example. because the boundaries of these two layers are connected with two different spheroidal coordinate systems, firstly, the electromagnetic fields between the inner and outer boundaries are expanded in terms of the spheroidal vector wave functions with reference to these two systems, and the electromagnetic fields within the inner boundary with reference to the system for it

    2 .以雙層橢球為例，我們提出了一種研究同心非共焦多層橢球粒子散射的方法，首先把兩層橢球之間的電磁場用對應于兩個橢球坐標系的橢球矢量波函數展開，這兩個橢球坐標系分別與兩層橢球的邊界面相聯系，在每層橢球邊界面上分別應用邊界條件，建立關于各展開系數的方程組。
  9. Secondly, the electromagnetic fields between the inner and outer boundaries are expressed in terms of infinite series with spherical vector wave functions using the relations between the spheroidal vector wave functions and spherical ones

    然後根據橢球矢量波函數與球矢量波函數的關系，把兩層橢球之間的電磁場表示為球矢量波函數的級數形式，由球矢量波函數的正交性，進一步建立各展開系數之間的關系。
  10. This thesis in theory deals with electromagnetic wave scattering by multilayered confocal and non - confocal spheroidal particles illuminated by gaussian beams, in which the main contributions are as follows : 1. in the case of multilayered confocal spheroidal particles, the scattered fields as well as the fields within each layer are obtained in terms of infinite series with spheroidal vector wave functions by using an appropriate expansion of the incident gaussian beam. by virtue of the boundary conditions, we write the set of equations for determining the unknown expansion coefficients and then solve it

    本文從理論上研究了多層共焦和非共焦橢球粒子對高斯波束的散射，主要成果如下： 1 .我們研究了多層共焦橢球粒子對高斯波束的散射，把入射高斯光，散射場，各層橢球內的電場和磁場用適當的橢球矢量波函數展開，應用電磁場邊界條件，寫出確定各展開系數的方程組，求出散射場系數，進而求出散射場及散射截面。
  11. Ellipsoidal wave function

    橢球面波函數
  12. This network ’ s structure is similar to the rbf neural network rather than the conventional ellipsoidal unit neural network. in the new network, the ellipsoidal unit functions are used in the hidden layer, and the weights between the hidden nods and the output nods are all connected. a method of rough k - means is used for obtaining the centers of ellipsoidal basic functions and the way of deciding the threshold

    本文改進了一種橢球單元神經網路，它與經典橢球網路的結構不同，而與rbf神經網路結構類似:它的隱層節點採用橢球單元函數，代替了rbf網路的高斯基函數，並且用粗糙k -均值方法求取橢球基函數的中心，給出了確定初始閾值的方法。
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