球形函數 的英文怎麼說

中文拼音 [qiúxínghánshǔ]
球形函數 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...
  • 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
  • 球形 : sphere; sphericity; spherical; globular; round球形安全閥 ball relief valve; 球形閥 globe valve;球...
  • 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. In chapter 3, we briefly present the fundamental theory of the elastic response of a spherical earth to the surface loads and the treatment to the loading effects of the barometric pressure

    第三章：簡述球形彈性地球負荷響應解的基礎理論和大氣負荷效應的處理方法；建立大氣重力和傾斜格林函數表達式
  2. Given the initial conditions including ( 1 ) number density distribution in space which has the similar form to the present day ones, ( 2 ) both the power law and gaussian mass functions for clusters, and ( 3 ) two different velocity distributions which one has a constant dispersion and the other is described by the eddington formula, the dynamical evolution of globular clusters in our milky way galaxy is investigated in detail by means of monte carlo simulations

    本文採用與觀測結果具有相同形式的球狀星團空間密度分佈函數，在給定兩種球狀星團系統的初始質量譜（冪律的和對數高斯的）和兩種球狀星團系統的初始速度分佈函數（愛丁頓速度分佈函數和常數的速度彌散度）條件下，我們採用montecarlo的方法對球狀星團系統的動力學演化進行討論。
  3. 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。
  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. Based on the extended boundary condition method and addition theorem of vector spherical functions, this paper study the light scattering problems of aggregate spheres from the angles of a single sphere, two - sphere system and multi - spheres system

    本文基於擴展邊界條件法及矢量球諧函數的加法定理，通過嚴格求解maxwell方程所得到的散射傳輸矩陣，對與入射波波長可比擬的群聚球形粒子的散射問題進行了研究。
  7. 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。
  8. 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。
  9. In this paper, the transitional method of the spherical har monics is applied and a new model is gained. the parameters of the new model are geocentric radius, range cross - deviation and polar is decided by different trajectories

    本文對球諧函數的改進主要是採用了換極法，根據不同的彈道重新選擇極點，將球諧函數變換為以地心距、射程角、側向偏差為參數的新的形式。
  10. The number density distribution of globular cluster in space will change with time due to the dynamic evolution, especially for those in the central region of the galaxy ; 5. for the power law initial cluster mass function, the peak value of the mass function after the dynamic evolution is sensitive to the lower limit of the initial mass function we adopt. the suggested value in this paper is - 104m, which is consistent with that reduced from the dynamical analyses for the giant molecular clouds

    對于冪率的初始質量譜，球狀星團系統動力學演化后質量分佈的轉折點質量主要是由初始質量函數的質量下限決定的，最為適合的值為10 ~ 4m _ ；冪率的初始質量譜的譜指數對球狀星團系統動力學演化后質量分佈的轉折點質量也有影響，其最佳值為1 . 5 2 . 0 ；經過大約5gyr的動力學演化，冪率的初始質量譜就會演化成為高斯的對數質量分佈並具有在隨后的動力學演化中保持對數高斯形式質量分佈的特性。
  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. For example, a single electron in an unexcited atom is pictured classically as a particle moving in a circular trajectory around the atomic nucleus, whereas in quantum mechanics it is described by a static, spherically symmetric wavefunction surrounding the nucleus

    例如，單個電子在不活躍原子里被經典描述為粒子圍繞原子核圓形運動，但是在量子力學里它通過用靜止、圍繞核子的球對稱波函數來描述。
  14. 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。
  15. 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
  16. 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。
  17. This paper is composed of two parts including 5 chapters. in the first part ( including chapter 2 ^ 3 ), this paper explains an improved geometry - model method to eliminating eclipse shadow, using satellite imaging theory and projection theory to convert plane rectangular coordinates into rectangular spherical coordinates. otherwise, through studying eclipse ' s shape and size, this paper uses a math - function - model to eliminating eclipse shadow

    本文共有五章，主要內容分為兩部分；第一部分包括第二、三章的內容，利用可見光雲圖成像原理以及點的投影法，將平面雲圖投影到三維直角坐標的球面上，對用於雲圖陰影訂正的原幾何模型法加以改進，得到改進的幾何模型法，並進行日食陰影訂正實驗；本文還利用數學函數模型法，通過研究月球在地球表面投射陰影的形狀及其受影響程度，從另一方面進行可見光雲圖日食陰影的訂正實驗研究。
  18. Compensating different stock removal of the tool in different lens areas is used to control the accuracy in pre - polishing process. then based on preston theory, corrective polishing with small - tools is optimized and the better removal function is obtained. also a parameter related the radius of curvature is introduced and determined to increase the polishing precision, which is improved by experiments

    採用反饋補償的方法解決彈性模拋光對面形破壞的問題，以控制其拋光精度；運用preston的拋光原理，對小工具的工作方式和參數進行改進和優化，以改善其拋光精度和效率，並獲得了更優的特徵去除函數；提出了被拋光表面面形曲率半徑對工具特徵去除函數的影響，引入並確定一與非球面各處曲率半徑有關的面形調整因子來降低拋光后的面形誤差，並從實驗上獲得驗證。
  19. Gages - funktional, ball - lock punches metric

    量規.函數球形閘門沖頭
  20. Gages - funktional, ball - lock punches

    量規.函數球形閘門沖頭
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