球體函數 的英文怎麼說

中文拼音 [qiútǐhánshǔ]
球體函數 英文
solid spherical harmonics
  • 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...
  • 體 : 體構詞成分。
  • 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
  • 球體 : spherome; sphere; orb; spheroid; spherite
  • 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. Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located

    首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。
  3. With the numerical iteration method we use the hnc integral equations to calculate the direct correlation function c ( r, t, p ) and the total correlation function h ( r, t, p ) in a soft - sphere ionic fluid which something like the system of the alkali - metal salts

    我們採用迭代方法用超網鏈積分方程組計算了一種類似於堿金屬鹽的軟球離子液體系統的直接關聯函數c （ （ ? ） ， t ， ）和總關聯函數h （ （ ? ） ， t ， ） 。
  4. An experiential criterion of determine the size parameter of larger sphere in two - spheres system in random orientation is proposed

    研究了任意方位雙球粒子體系的散射矩陣，提出了利用體系的相位函數反演其中較大粒子的尺寸參數的經驗判據。
  5. In order to solve the problem of deviation of suitable angle andthe practice of shot put, the author analyzes the function relation between performance and the maximum projectile range, draws the best result theorem that is new optimum angle formula and sign - line parameter

    為了解決鉛球適宜投出角度公式與實踐偏離的問題，分析了鉛球成績與拋體最大射程的函數關系，得出了最大成績定理、 「新」最佳投出角度公式和最佳出手角度標志線參數式。
  6. In view of the limitation of the traditional inversion theory and method of the gravity and magnetic field, professional an yulin, etc, worked in china university of geoscience, has come into being the theory system of the all - direction imagery for local gravity and magnetic sources after having researched a few years. the theory system broke through the thinking method of traditional theory system, researched all - direction imagery of the 2d local gravity and magnetic sources by means of complex function theory and researched all - direction imagery of the 3d local gravity and magnetic sources by means of spherical harmonic analysis theory, developed greatly the interpretation theory on the gravity and magnetic field

    該理論體系突破了傳統的重、磁場解釋理論體系的思維方式，採用復變函數理論研究二維局部重磁場源全方位成像，採用球諧分析理論研究三維局部重磁場源全方位成像，大大發展了重磁學科解釋理論，可以在起伏地形、有背景疊加和高頻干擾等復雜條件下，直接反演加疊代修改，求解分佈在有限范圍內的二維和三維重磁場源異常場的多種反演問題。
  7. In chapter 4, the influences of the earth ' s models on the elastic green ' s function, as well as on the atmospheric loading effects, are discussed using the numerical techniques. the attraction green ' s function is solved out based on the state equations of the ideal gas and the hydrostatic equilibrium equation. the influences of various factors upon the gravity and tilt green ' s functions, as well as upon the gravity and tilt, are considered in detail

    第四章：採用數值計算方法，研究了地球模型對彈性項格林函數及其對大氣負荷響應的影響；利用理想氣體方程和流體靜力學平衡方程解算了吸引項格林函數，討論各種因素對大氣重力和傾斜格林函數及其對重力和傾斜的影響；基於球對稱地球模型，給出了武昌站臺站依賴的大氣重力、傾斜格林函數
  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. The electric dyadic green ' s function inside the sphere and the magnetic dyad outside the sphere are given. in addition, spherically multilayered conductor is discussed and the dyadic green ' s functions are given for a two - layer conductive sphere

    進一步討論了同心分層導體球情況，並給出了電流元位於兩層同心導體球的里層時球內電場和球外磁場的並矢格林函數。
  10. 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。
  11. 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。
  12. 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。
  13. First, we concisely recall the formation and development of bose - einstein condensa - tion ' s theory and it ' s experimentation. secondly, we briefly intro - duce some properties of weakly interactive bose gases, and derive the nonlinear gross - pitaevskii equation that is the condensate macroscopic wave function ' s equation. thirdly, we give a exam - pie, an approximation analytical solution of the gross - pitaevskii equation in a spherical symmetric harmonic trap is derived by a perturbation theory approach, this solution is consistent with that numerically obtained

    全文共分為四章：第一章首先簡要的介紹和回顧了玻色-愛因斯坦凝聚理論的產生和發展，以及其實驗研究的過程，然後著重介紹了弱相互作用的玻色氣體的一些性質，並推導出了凝聚體宏觀波函數滿足非線性的gp方程，還以球對稱的諧振子勢為例，用標準的微擾方法求出了定態的gp方程近似解，發現其與已知的數值結果符合得很好。
  14. Based the basic principle of the accumulation of induced electric charges across the resistivity discontinuities and the induction current channeling inside the conductive bodies inspirited by the mt field, we set up the relation between the measured field on the earth surface and the distribution of the induced source underground by means of the defining the electric charge occurrence probability function and the electric dipole occurrence probability function and the spacial distributing of the " correlation probability ". the " image " of the field sources underground, or the distributing graphy of the induced electric charges and the induced current in the mesuring area can be drawed, from which we can get the outline of the geological anomaly on the meaning of the probability

    大地電磁場概率成像方法是一種新的地球物理成像反演方法，它是根據在大電磁波場的激勵下，地下介質電阻率間斷處產生感應電荷積累和導體內部產生感應電流，從而產生感應電磁場的原理，相應地定義了感應電荷發生概率函數和感應電偶極子發生概率函數，通過「相關概率」發生的大小的空間分佈，建立了地表觀測場與地下場源空間分佈的內在聯系。地下場源分佈概率的「像」 ，即測區的感應電荷和感應電流的概率的分布圖像，就是測區內地質體在概率意義下地質異常體的分佈輪廓。
  15. 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。
  16. 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
  17. In this thesis, based on related previous references, using the non - fourier law of heat conduction, applying the image method, expand method of wave function, multiple scattering of thermal waves in materials with subsurface defects are investigated. our research works are concretely as following

    本文在分析了國內外相關文獻的基礎上，基於非傅里葉熱傳導波動方程，採用鏡像方法和波函數展開法，研究了固體介質中亞表面圓柱缺陷和球形缺陷對熱波的多重散射問題。
  18. First, the conducting targets ' electromagnetic scattering is researched in this paper. the rwg vector base functions are used to denote inductive current on the surface of the conducting target. efie is built. the rcs of conducting sphere. conducting plate, conducting cube are calculated respectively, the electromagnetic scattering of multi - rivets on the conducting plate are researched the first time, and the impaction of multi - rivets to the total rcs is analyzed

    用rwg矢量基函數表示導體表面的感應電流，建立了導體表面的電場積分方程（ efie ） ，分別計算了導電球、導體平板、導電立方體的rcs ，首次研究了導電平板上有多個鉚釘的電磁散射，分析了多個鉚釘對目標總的rcs的影響。
  19. On the base of brief introduction simple theory of genetic algorithms, we discuss the value of each genetic operator and the means of genetic operation. correct scheme of genetic algorithms is given out according to the special bolted sphere node. the genetic algorithms optimal program is compiled in the environment of matlab using the method of transferring parameters among the main function and the sub - function

    為此，首先分析了螺栓節點球的球心誤差，並通過矩陣變換理論給出計算球心誤差的公式，進一步討論了自動分度角度的計算方法；在簡介遺傳演算法的基本原理的基礎上，對各遺傳運算元的取值及遺傳操作方法進行了討論，針對典型的螺栓節點球零件給出了具體的遺傳演算法執行方案；通過matlab軟體編程環境進行程序的編制，利用主函數和子函數之間參數傳遞的方法實現了遺傳演算法優化，並且編制了圖形用戶界面，對優化結果採用圖文結合的形式輸出。
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