球面函數 的英文怎麼說

中文拼音 [qiúmiànhánshǔ]
球面函數 英文
spherical function
  • 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...
  • 面 : Ⅰ名詞1 （頭的前部; 臉） face 2 （物體的表面） surface; top 3 （外露的一層或正面） outside; the ri...
  • 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
  • 球面 : spherical surface; sphere球面艙壁 spherical bulkhead; 球面車床 spherical turning lathe; 球面反射...
  • 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 studies of plane heterogeneity are as follows : the text counts the parameters of the sandlayers " geometric shape of different sedimentous microfacies ; speculates the conditions of lateral communication by sandstone density according to the method brought forward by j. r. l. allen ; gets a group of parameters including the reservoir thickness, porosity and coefficient of permeability by using kriging method according to the data of logging results ; makes certain the direction of coefficient of permeability with variation function by modeling globosity function ; divides the sandlayers into five types by using the method of flowing cell based on three parameters, that is x h, kxh and h / h, and accounts the favorable region. on the base of above - mentioned studies, the text evaluates the heterogeneity of sandlayers and gives the resolutions to these problems to serve the development of the field

    Allen ）等人提出的統計方法，用垂向上砂體密度的界限來推測砂體側向連通情況；根據每口井的測井解釋資料，利用克里金插值法對外間進行插值，得到了一組反映儲層特徵在平面上變化的參數，包括儲層厚度分佈、孔隙度以及滲透率，並且成圖；利用變差函數法，通過球狀函數模擬，確定儲層優勢滲透率方向：根據流動單元法，以儲能系數、容積系數以及凈毛厚度比三個參數為依據，通過聚類分析方法進行流動單元劃分，並且按照參數特徵將其分為五類，統計各砂層有利流動單元區塊。
  2. The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given

    利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。
  3. 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。
  4. 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。
  5. 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。
  6. Many studies had attempted to characterize chemical weathering process by focusing on geochemisty of river particulate and sediment. the sediment geochemistry may reflect and compare with the carbonates and silicates weathering degree by introducing the chemical index of alteration ( cia ) and new sediment index of variation ( siv ) and elemental molar abundance ratio of the sediment. the one main objective of this study would provide and compare the relative weathering intensities of silicates and carbonates with the different basins

    2沉積物地球化學與化學風化進程和機械剝蝕率化學風化指數與化學風化率屬于表徵化學風化作用意義不同的函數，前者為相對概念反映流域巖石在原巖基礎上己發生淋溶作用的深度，主要受到了氣候因子的深刻影響（中國流域沉積物化學風化指數由北到南呈有規則的遞增序列，氣候因子對風化進程的影響掩蓋了巖性的巨大差異） ，而化學風化率含義是指單位流域面積巖石風化淋溶產生的離子絕對總量。
  7. Based on the confirmation of driving force of lunar rover, we analyze the relationship between adhesion coefficient of road surface and wheel slip. in our research, several types of wheel force model are referenced among them, and we select the polynomial model with exponential function as the wheel force model of the lunar rover

    圍繞月球車驅動力的確定，本文分析了路面附著系數與滑轉率的關系，以車輛動力學分析中常用的幾種車輪力模型為基礎，選擇了帶有指數函數的多項式模型作為分析月球車車輪附著力的模型。
  8. Sampling data for brdf is analyzed with spherical harmonics, and then the brdf surface could be rendered fast under environment illumination

    物體表面雙向反射分佈函數的采樣數據利用球面調和函數系進行分析，然後可以在環境光源下作快速繪制。
  9. Secondly, the mathematical radiation extinction model of nonspherical particle is developed based on t - matrix method, and a computer program is designed to calculate the extinction cross section, scattering cross section, absorption cross section and scattering phase function of fixed or randomly oriented axially symmetric particle

    然後根據t矩陣方法，採用回轉體微粒消光特性的計算模型編制出的相應程序，對固定取向和隨機取向的非球形回轉體微粒的消光截面、散射截面、吸收截面及散射相函數進行了計算。
  10. The 11th pacific conference on computergraphics and applications, 2003, pp. 90 - 101. 24 hartmann e. parametric g n blending of curves and surfaces

    給定空間曲線和正值函數，由它們定義的所謂管道曲面是由一族中心在曲線上以為半徑的球體生成的包絡。
  11. The loading effects of the atmosphere are the sum of the direct effect, which comes from its newtonian attraction to any point on the surface or within the interior of the earth, and the indirect effects, which is induced by the earth ' s deformation and additional gravitational potential arising from redistribution of the mass because it can be regarded as the surface loads. they are traditionally expressed as the convolution integration of the atmospheric green ' s function, which is virtually the sum of the elastic and gravitational green ' s functions, and the measured values of the barometric pressure on the earth ' s surface over the globe

    隨著現代大地測量技術和數據分析手段的日益提高，大氣對各類物理場地表觀測的負荷影響必須予以考慮，大氣的負荷效應為直接效應（大氣對地球表面及內部點產生直接吸引）和間接效應（大氣作為表面負荷作用於地球，導致地球的彈性形變和內部質量的重新分佈，產生附加位）之和，習慣上表示為大氣格林函數（彈性項和直接引力項格林函數之和）和地表氣壓觀測值的全球褶積積分
  12. Calculated the aggregation frequency for the crown - shaped liquid droplets on condersor at > 90 in light of the properties of liquid droplets distribution function, and the detailed balance equation is derived for liquid - vapour phase transition

    摘要根據冷凝壁面液滴分佈函數的概念和性質，計算了> 90時冷凝壁面球冠形液滴的融並頻率；導出純氣液相變下冷凝壁面的細致平衡方程。
  13. 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。
  14. Based on the characteristics of rotary symmetrical aspheric surface, tracks programming algorithm is given, the 2 - dimension removal function is reduced into 1 - dimension, finally the dwell time algorithm is presented

    針對氣囊拋光加工回轉對稱非球面的特點，進行拋光路徑規劃，對去除函數進行降維處理，提出拋光駐留時間的計算方法。
  15. 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。
  16. So a computer - aided alignment method for a series of reference lens is studied in detail in this paper. based on analyzing the optical quality affecting factors and optical design, the folio wings are described in detail in this paper : ( 1 ) how to choose merit function of optical quality in terms of the specific reference lens, and sensitive structure parameters to optical quality would be determined according to their tolerance data ; ( 2 ) discussing the relationship between the aberrations and the misalignment of reference lens ; ( 3 ) building the mathematical model for the misalignment optical system, and then calculating the misalignment value by the alignment software compiled on zemax and matlab platforms ; ( 4 ) experiments are made to examine the computer - aided alignment method. the theoretical and experimental data and plots are given in the paper

    本文在分析標準球面透鏡的設計及其光學質量的影響因素基礎上，開展了以下四個方面的研究： （ 1 ）根據系列標準球面透鏡的具體結構特點，選擇透鏡的質量評價指標，研究標準球面透鏡的公差分佈，確定敏感結構參數； （ 2 ）研究光學質量評價指標與失調量之間的函數關系； （ 3 ）建立數學物理模型，根據球面波的實測結果，求解待調系統的失調方位和量值，研究原理上實現計算機輔助裝調的可能性，在zemax和matlab平臺上編寫輔助裝調軟體； （ 4 ）建立實驗裝置，實際研究標準球面透鏡的計算機輔助裝調方法，文中給出相應的理論分析及實驗數據和曲線。
  17. 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。
  18. In this thesis, we propose a new spherical. harmonics based 3d texture model - illumination - dependent texture ( idt ). this texture model concentrates on presenting the 3d surface detail effects due to light movement, and ignores the effects caused by variation of viewing direction

    本文提出了一種新的基於球面調和函數分析的3d紋理技術?光照相關紋理，著重表現3d紋理表面在不同光照下的視覺效果，同時忽略視角因素的影響。
  19. In this thesis, we consider the following three aspects : first, we compute the bergman kernel functions with explicit formulas on generalized hna domains ; second, we obtain the explicit formulas for extremal maps and extremal values between the ball and the super - cartan domain of the first type ; finally, we give sufficient conditions and necessary conditions that holomorphic functions become bloch functions on super - cartan domains

    在這篇論文中，我們討論了三個方面的內容：第一部分我們給出了四類廣義華羅庚域的bergman核函數的顯表達式；第二部分我們得到了第一類超cartan域與單位超球間的極值與極值映照；第三部分我們給出了四類超cartan域上全純函數是bloch函數的充分條件與必要條件。
  20. The use of wave packet to analyze the dynamics of quantum mechanical systems is an increasingly important method to the study of the classical - quantum correspondence. using the quantum gaussian wave packet analysis method, we calculate the autocorrelation function of the rectangular billiard, the peak positions of the autocorrelation function match well with the periods of the classical periodic orbits, which show that the period of the classical orbits can be produced by the time - dependent quantum wave packet method. we also discuss wave packet revivals and fractional revivals in the rectangular billiard, the results show that there are exact revival for all wave packet at each revival time. we find additional cases of exact revivals with short revival times for zero - momentum wave packets initially located at special symmetry point inside the billiard

    利用波包分析量子力學體系的動力學行為在研究經典和量子的對應關系方面越來越成為一個非常重要的方法.利用高斯波包分析方法，我們計算了矩形彈子球體系的自關聯函數，自關聯函數的峰和經典周期軌道的周期符合的很好，這表明經典周期軌道的周期可以通過含時的量子波包方法產生.我們還討論了矩形彈子球的波包回歸和波包的部分回歸，計算結果表明在每一個回歸時間，波包出現精確的回歸.對于動量為零的波包，初始位置在彈子球內部的特殊對稱點處，出現一些時間比較短的附加的回歸
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