積分變換法 的英文怎麼說

中文拼音 [jīfēnbiànhuànfǎ]
積分變換法 英文
integral transform method
  • 積 : Ⅰ動詞（積累） amass; store up; accumulate Ⅱ形容詞（長時間積累下來的） long standing; long pending...
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 換 : 動詞1. （給人東西同時從他那裡取得別的東西） exchange; barter; trade 2. （變換; 更換） change 3. （兌換） exchange; cash
  • 法 : Ⅰ名詞1 （由國家制定或認可的行為規則的總稱） law 2 （方法; 方式） way; method; mode; means 3 （標...
  • 積分 : 1. [數學] integral; integrate; integration 2. [體育] （積累的分數） accumulate points
  1. The solving process of the d ' alembert ' s differential equation using fourier ' s triple integral transform method

    用重傅氏積分變換法求解達朗貝爾方程
  2. The biorthogonality properties of the multiple vaector - valued wavelet packets in higher dimensions are investigated by virtue of functional analysis methods and fourier transform, and biorthogonality formulae regarding these wavelet packets are obtained

    運用泛函分析方法、傅立葉變換與積分變換，討論了它們的雙正交性，得到關于多元多重向量值小波包的雙正交公式。
  3. The spectral analysis of non - orthogonal functions cannot be obtained by orthogonal integration method. only the spectral analysis of some particular non - orthogonal functions can be realized by integral transformation. thus, the concept of reflection matrix is proposed and the mirror symmetry of spectral analysis for non - orthogonal function is revealed. any element functions whose reflection matrix can be obtained possesses its inverse element function. the spectral vector corresponding to an element function possesses its inverse spectral vector corresponding to the inverse element function. by reflection matrix the mapping relation of element function pair and spectral vector pair can be established. spectral analysis of non - orthogonal functions can be obtained with this symmetry by using the integration method as in the case of orthogonal functions, instead of calculating the inverse matrix as usual. so a convenient and practical method for spectral analysis of non - orthogonal functions is offered

    非正交函數不能利用正交積分來實現譜分解.僅有某些特殊的非正交函數可以通過積分變換實現譜分解.本文提出了反射陣的概念，揭示了非正交函數譜分析的鏡像對稱性.任何能夠建立起反射陣的元函數存在著它的逆元函數，並且任何基於該元函數的譜向量同時也存在著基於逆元函數的逆譜向量.元函數對與譜向量對通過反射陣建立映射關系.利用這種對稱性，非正交函數可以象正交函數一樣使用積分方法獲得譜分解結果，而不必使用求解逆陣的方法，從而為非正交函數的譜分解提供了便捷、實用的方法
  4. And by far, most theories of wavelet analysis are established in, but this method is rare to be known and exists defects in the reproducing kernel space with good properties. then in the reproducing kernel space, isometric isomorphism of relation is founded between and by differential operator. and starting from the haar basis, multi - resolution analysis inis gived by folding method ; then multi - resolution analysis and orthonormal wavelet in are obtained through integral transform from to. then the reproducing kernel space can be expressed by wavelet spaces

    於是，在再生核空間中，利用積分運算元建立了空間與hilbert空間的等距同構關系；並且從haar小波出發，由折疊法實現的空間中多尺度分析通過積分變換得到中多尺度分析和正交小波，使得再生核空間可以由小波空間來刻劃；從而對空間中的函數，給出了小波逼近具體表達式和相應的采樣公式，形式簡單易於數值分析。
  5. Abstract : this paper mainly utilizes the methods of formula, isometric transform, cut and complement, extremes and analyzing special section to calculate the volume in solid geometry

    摘要:文章探討了用公式法、等體積變換法、割補法、極值法、分析特殊截面等方法求立體幾何中幾何體的體積。
  6. The main work includes : based on biot ' s dynamic consolidation equations, by the method of integral transform and matrix transfer, two - dimensional consolidation of layered saturated soils is studied. then, the general integral solutions of stress ( including pore pressure ) and displacement ( including fluid flow ) of any point were obtained under harmonic vibration loads according to staunch boundary condition. second, a program to verify the correctness of this dissertation is developed

    主要工作有：本文根據biot平面動力固結方程，運用積分變換和矩陣傳遞的方法，研究了成層飽和地基的二維biot固結問題，根據下邊界為不透水基巖的邊界條件，獲得了地基表面作用簡諧振動荷載時，任意點應力（包括孔壓） 、位移（包括流體流量）的一般積分形式解。
  7. Then. with the help of some good results of differential equations theory, some sufficient conditions for all solutions of the equations to be oscillatory are obtained. the way is to proof by contradiction and construct sequence

    1 ）的振動性，首先，利用積分變換，給出了幾個引理，將此類差分方程轉化為相應的微分方程或微分不等式，得出了新變量的一些重要性質；然後用反證法和構造序列的方法，充分利用微分方程理論中的一些重要結論，得到此類差分方程解振動的若干充分條件
  8. According to the concept and basic form of svpsf, the cavity and duct scattering is examined, and a method is developed to remove the duct - induce dispersion effect

    推演了典型非點散射結構?腔體結構的二維svpdf的具體形式，得到消除其散焦效應的積分變換域濾波方法。
  9. 5. without making the paraxial approximation, a detailed study on the propagation of ultrashort pulsed bessel beams in linear normal and anomalous dispersive media has been performed using the method of fourier transform

    未作近軸近似的條件下，用傅立葉積分變換法詳細研究了超短脈沖貝塞爾光束在正、負色散介質中的傳輸特性。
  10. ( 5 ) discuss some mathematical models of the pollutant transport problems in some local river flow fields. by integral transform method, the paper establishes the usual finite difference approximation scheme to solve the numerical solutions and gives examples for the computation of the approximating solutions, moreover, discusses one - dimensional characteristic finite difference method for a convection - diffusion equation under usual conditions

    （ 5 ）針對水域中污染物輸移問題的數學模型，通過積分變換法，得到了簡化模型在理想化條件下的近似精確解，同時給出數值算例，並且對非理想化條件下模型的特徵差分方法進行了討論。
  11. The condition under which higher - order dispersive effects can be neglected is also discussed with numerical examples. 6. based on the fourier optics, the focusing of ultrashort pulses by a silica lens in both cases of constant beam waist and constant diffraction length is studied considering dispersion of first, second and higher order, respectively

    6 ，使用傅立葉積分變換法，在考慮透鏡色差和高階色散效應的較為一般情況下，分別研究了等束寬超短脈沖高斯光束和等衍射長度超短脈沖高斯光束通過硅玻璃透鏡的聚焦特性。
  12. The difference between these two algorithms is that the former uses sub - domain as the basic unit of task to be allocated and the latter uses the node - super - row as the basic unit of task. ( 6 ) the original problem is transformed into transformed domain by using laplace transform method. by the parallelization of the bem in the transformed domain, the parallelization of the elasto - dynamic be analysis is implemented by introducing the time related fimdamental solution, the time dependency is released from the formation of time - domain be equations

    （ 6 ）通過拉氏積分變換法將彈性動力問題轉換至變換域，通過變換域上邊界元的分佈并行處理實現了彈性動力邊界元分析的并行化；引入與時間有關的基本解，解除了時域邊界元系統方程組形成階段的時間順序依賴性，通過矩陣向量運算的分佈并行處理實現方程組時間步進求解方法的并行化，這種方法是一種部分時間并行演算法。
  13. Study on integral algorithm based on fourier transform

    基於傅立葉變換的積分演算法研究
  14. The dissertation refers to comparatively full literatures in the field of vsc, and the development history and characteristics of vsc are summarized, and the elementary concepts, elementary definitions, elementary properties, elementary principles and design methods are particularly introduced, and the causes of the chattering phenomenon are systematically analysed, and the study status of the chattering phenomenon and the main methods to eliminate the chattering are elaborated. for the deficiencies of traditionary methods, three improved methods are developed, which are improved exponent reaching law solution, variable boundary layer solution and the solution by adding an auxiliary continuous control term. for uncertain linear systems, an adaptive fuzzy integral variable structure control stategy ( afivsc ) is put forward to eliminate the chattering around the sliding plane, which introduces fuzzy logic to soften the non - linear discontinuous sig nal in the control variable and utilizes adaptive theory to adjust output membership function according to how much the uncertainty of the system is

    比較全面地查閱了關于變結構控制理論的文獻，總結了滑模變結構控制的發展歷史和特點，詳細介紹了變結構控制的基本概念、基本定義、基本性質、基本原理以及設計方法；系統分析了變結構控制系統抖振產生的機理，並闡述了國內外目前對抖振問題的研究現狀以及消除抖振的主要方法；針對傳統抑制和消除抖振方法的不足，改進了傳統方法，得到了三種新的消除抖振的方法? ?即改進的指數趨近律法、可變邊界層法和附加連續項法；針對不確定性線性系統，在變結構控制策略中引入模糊邏輯和自適應理論來消除滑動平面上的抖振，提出了一種自適應模糊積分變結構控制方案（ afivsc ） ，利用模糊邏輯來柔化控制量中非線性不連續部分，採用自適應理論，根據系統不確定性大小在線調整模糊輸出量的隸屬函數，另外，鑒于模糊控制本質上是有靜差的，所以本文選擇了帶積分項的切換函數，由於積分項的存在使系統較正為無靜差系統。
  15. 2. under the condition that the layered soil surrounding pile can be simulated with general voigt model or general maxwell model, the mathematical equations for longitudinal vibration of a pile with self - viscosity is established in the form of integral transformation, and the corresponding solution is obtained by using impedance function

    2 、分別建立了樁側土為廣義voigt模型和廣義maxwell模型條件下考慮樁身材料阻尼的成層地基中樁縱向振動的積分變換形式定解問題，並採用阻抗函數遞推法得到了相應解。
  16. Firstly the phase is extracted from interferogram by filtering and displacing frequency spectrum. then the wavefront and the line integral density are recovered by using fft or polynomial fitting method. lastly the radial local density distribution is calculated from the fitting curve of line integral density by the abel inversion

    首先對干涉圖進行頻譜濾波，用頻譜移頻法從干涉圖中提取相位，然後用快速傅立葉變換或多項式擬合實現波面重建，計算線積分密度，再利用abel積分變換從線積分密度的擬合曲線中反演徑向體密度分佈。
  17. The main contents of this thesis are : ( 1 ) two numerical reconstruction methods - direct fourier transform method and envelope method, are presented. these methods are deduced on the base of fresnel diffraction integral formula, which is under the condition that particle field is illuminated by plane wave

    主要工作內容有： （ 1 ）分析推導了平面物菲涅耳衍射的兩種常用數值實現演算法，即直接傅里葉變換法和卷積法，結論表明後者更符合實際工作的要求。
  18. In the first part, we have studied the stimulated algorithm of the diffraction of light ; and, through direct integral, convolution, and fourier transform, we created the numerical algorithm of fresnel integral and additionally, these three methods have also been compared in this paper

    首先研究光線衍射傳播的模擬演算法，分別利用直接積分法、卷積法和傅里葉變換法實現了菲涅耳積分的數值計算方法，同時比較了這三種方法的優劣。
  19. Exact solutions are derived for the forced vibration of plate on elastic foundation to moving loads, which is based upon the use of the 2 - d fourier transforms to the motion equations and boundary conditions. following a series of deduction, a calculation programme by the methods of numeric integration in fortran is provided

    由系統的運動方程出發，利用界面連續條件，運用積分變換方法對原方程及邊界條件進行了二維fourier積分變換，把偏微分方程組變成常微分方程組，求出加鋪層板系統在移動荷載作用下的撓度解析解。
  20. The weighted number of solutions of equation, r ( b ), is expressed as the sum of a integral on [ 0, 1 ] and a remainder term. using the circle method, the integral on the interval [ 0, 1 ] is divided into the integrals on major arcs and minor arcs respectively, j and j. the section 3 gives a transformation for sj ( a ) and simplifies /

    把三次方程的加權解個數r （ b ）表示為[ 0 ， 1 ]上的積分加上余項，然後利用圓法，把區間[ 0 ， 1 ）上的積分變成優弧和劣弧的積分和第三節，給出s _ i （ ）的一個變換，並化簡把的主項被分成m _ 1 ， m _ 2和m _ 3
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