積分方程的和 的英文怎麼說

中文拼音 [jīfēnfāngchéngdehé]
積分方程的和 英文
kernel
  • 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
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 的 : 4次方是 The fourth power of 2 is direction
  • 和 : 和動詞（在粉狀物中加液體攪拌或揉弄使有黏性） mix （powder） with water, etc. : 和點兒灰泥 prepare some plaster
  • 積分 : 1. [數學] integral; integrate; integration 2. [體育] （積累的分數） accumulate points
  1. The thesis focus on the numerical analytical method of curved broadband wire antennas. first, the paper introduced the development of broadband antennas, the common measures to broaden antennas " bandwidth and the study on curved antennas. second, the generalized halen integral equation ( mei ' s equation ) was derived based on the three basic equations of wire antennas by two means and its numerical solution method was discussed

    本文就曲線寬頻帶線天線的數值分析方法展開研究，首先介紹了寬頻帶天線的發展，實現天線寬頻帶的常用方法和曲線天線的研究現狀，然後在直線加載天線滿足的方程的基礎上用兩種方法推導了曲線天線滿足的推廣的海倫積分方程（ mei 』 s方程） ，討論了不同基函數下方程的數值解法。
  2. The method of crack - division is used to make radial cracks at the edge of cavity. a series of integral equations for determining the dsif at tips of anti - plane crack are set up in terms of the green ' s function

    按「契合」的方式和採用裂紋切割技術構造出孔邊徑向界面裂紋對sh波散射的模型，利用green函數建立直接求解m型裂紋尖端動應力強度因子的定解積分方程組。
  3. Since complicated differential and integral operations were involved in the kernel of the integral equation, we simplified the equation and got the nakano equation. as instances, the planar archimedean spiral antenna, the planar equiangular spiral antenna, the monofilar helical antenna, the conical helical antenna with fixed ascending angle and the conical equiangular - spiral antenna were analyzed through the moment method. all of the results matched fairly well with the references and experiment results

    這種方法的積分方程的積分核里含有復雜的微積分運算，為了簡化計算，本文在推廣的海倫積分方程的基礎上，對方程進行了簡化，推導了nakano方程，並以平面阿基米德螺旋天線，平面等角螺旋天線，軸向模圓柱螺旋天線，具有固定升角的圓錐螺旋天線和圓錐等角螺旋天線為例，用矩量法求解了天線上的電流分佈，研究了螺旋天線輻射的寬頻帶特性，所得的結果均與參考文獻吻合很好。
  4. An estimation of brightness temperature for vegetated surface by matrix doubling method and iem

    用雙矩陣法和積分方程模型估算地表的亮度溫度
  5. We proof the covariance function of covariance stationary processes is equivalent with mercer kernel function. that is, the covariance function of covariance stationary processes is a mercer kernel function ; in reverse, for a given mercer kernel function, there exists a covariance stationary processes, and the covariance function corresponded to this covariance stationary processes is the given symmetry positive - definite kernel function. it means that the covariance function is equivalent to symmetry positive - definite kernel function

    首先建立了協方差平穩過程的協方差函數與積分方程中對稱正定mercer核函數的等價關系，即協方差平穩過程的協方差函數是對稱正定mercer核函數，反過來，對給定的對稱正定核函數，證明了存在協方差平穩過程，使得此協方差平穩過程對應的協方差函數恰好為給定的對稱正定核函數，這說明協方差函數和對稱正定核函數是等價的。
  6. First, in virtual of identification of flaws is a typical of in - verse problems, proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation, the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given. second, the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon. finally, indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects, meanwhile, the proof of possibility for near - field measurements and nu - merical simulation are given

    由於缺陷的識別是一類典型的反問題，因而首先從時諧電磁maxwell方程和helmholz方程出發，具體地闡述了求解正散射問題的有關方法，包括各種（夾雜）邊界條件下的數值解法，就解的存在性唯一性給予了肯定的回答；隨后對逆散射問題的理論作了簡短的回顧，包括解的唯一性以及非線性不適定積分方程的處理等；然後對均勻介質和非均勻介質的逆散射問題建立了在各種邊界條件下的邊界識別的指示函數方法，鑒于近場數據獲得的重要性，對近場測試時邊界識別的方法給予了相應的證明，並且實現了數值模擬。
  7. We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution

    先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性
  8. Integral equations of vertical vibration ofan elastic circular plate on a fluid - saturated poroelastic half space

    多孔飽和半空間上彈性圓板垂直振動的積分方程
  9. Integral equations for solving the consolidation settlement of an elastic circular plate resting on a poroelastic half space

    求解飽和半空間上彈性圓板固結沉降的積分方程
  10. Chapter 4 deals with painleve integrability and backlund transformation

    第四章討論了非線性微分方程的painleve可積性和backlund變換。
  11. From mathematical models for inverse scattering in two dimensional inho - mogenous media including variable impedance, all kinds of probable mixed variable impedance boundaries and cracks, from interior and exterior trans - mission problems and radiation condition, ill - posed integral equation and indicator function method are formulated for the diverse of boundary iden - tification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given. 3

    在二維非均勻介質逆散射邊界識別的數學模型（包括一般的非均勻介質，正交各向異性介質，變阻抗介質，各種可能的混合變阻抗邊界問題）下，由內透射問題和外透射問題以及輻射條件，推導了上述介質的邊界識別的積分方程和指示函數方法，由於積分方程的核充分表徵了散射物的邊界，由此說明只要利用正則化方法求解該積分方程，就可以確定散射物的邊界。
  12. From mathematical models for inverse scattering in two dimensional homoge - nous media including dirichlet, neumann, robin, all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill - posed integral equation and indicator function method are formulated for the diverse of boundary identification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solv - ing it by virtual of regularity method, meanwhile, some numerical tests are given. 2

    在二維均勻介質逆散射各種邊界識別的數學模型（包括dirichlet ， neumann ， robin ，各種可能的混合邊界問題，裂紋問題）下，分別考慮了正散射問題和逆散射問題，推導了上述各種邊界識別的不適定積分方程以及指示函數方法，由於積分方程的核充分表徵了散射物的邊界，由此說明只要利用正則化方法求解該積分方程，就可以確定散射物的邊界，並給出了一些數值實驗。
  13. Then the solving procedures of these bies by the rwg functions based moment method are elaborated, and the method of modeling complex objects built of arbitrary line, surface and volume structures is developed. in order to solve realize antenna and circuit problems, methods of adding excitations and concentrated loadings with moment method are deceloped, and matrix pencil ( mp ) method is used to deembeded the s prameters of antennas and circuits from the computed current distribution. some numerical results of practical complex antenna and scattering problems are presented to illustrate the veracity and effectiveness of the method

    在第一部分中，首先從電磁場的基本理論出發，基於等效原理和邊界條件以統一的方法建立了用於分析金屬、介質及金屬與介質混合結構的邊界積分方程，並歸納和比較了各類積分的適用范圍和優缺點;在此基礎上，給出了使用基於rwg函數的矩量法求解各種邊界積分方程的一般過程;研究了具有任意線、面、體組成的復雜結構的電磁建模方法，並給出了各種多面連接情況下基函數和未知量的選取方法;研究了使用矩量法分析電路、天線問題時集總元件和激勵源的處理方法，並基於矩陣束方法（ matrixpencilmethod ）提取了電路和天線問題的s參數;最後通過分析一些工程中的復雜金屬天線問題和具有「金屬與介質混合結構」的散射和天線問題驗證了方法的準確性和高效性。
  14. By comparison, it was clear that the bem could solve the problem not only effectively but also precisely. in the second chapter the theory of weighted residual technique is illustrated and the boundary integral function of the potential problem is deduced by it. methods of obtaining green ' s function fundamental solutions in infinite region and semi - infinite region are presented

    第二章首先說明了加權余量法的原理，並由此推出了勢問題的邊界積分方程，還介紹了無限域和半無限域中格林函數基本解的求法，以及多介質域和第三類邊界條件的處理方法，最後說明了邊界積分方程的數值解法。
  15. The moment method is used to calculate the rcs of three - dimensional targets in this paper. these targets include conducting targets, dielectric targets and coat targets. triangular patches are used to model the surface of the target, then electric field integral equation ( efie ) and magnetic field integral equation ( mfie ) are built which satisfy the boundary conditions. the rwg vector base functions are used to denote equivalent electric current and magnetic current on the surface of the target. finally use the galerkin method ( rwg vector base functions are basis function and test function ) to transform integral equations into matrix equation. when obtain the equivalent electric current and magnetic current, we can calculate the scattering field and the rcs of the target

    本文利用矩量法計算了三維導體目標、介質目標、塗層目標的雷達散射截面。首先採用三角形面元對物體表面幾何形狀進行模擬，然後建立滿足邊界條件的電場積分方程（ efie ）和磁場積分方程（ mfie ） ，將物體表面的等效電磁流用rwg矢量基函數表示，最後利用伽略金法（ rwg矢量基函數既作為基函數又作為檢驗函數）將電磁場積分方程轉化為矩陣方程求解未知電磁流系數，得到了表面的等效電磁流后，可以計算散射場和目標的雷達散射截面。
  16. The condition under which the dirac operator is self - adjoint is discussed under the general linear boundary condition between the interval of two points. for the expansion theorem of non - self - adjoint dirac operator, it is unable to use the method of integral equation. but under the linear boundary condition and unlocal boundary condition, the eigenvalue expansion problems of non - self - adjoint operator can still be discussed by using the residue method

    對于非自伴dirac運算元的特徵展開定理已無法應用積分方程的方法，本文仍用留數方法對一個兩點非自伴邊界條件和一個非局部邊界條件下產生的非自伴運算元的特徵展開問題進行了討論，分別得到了它們的特徵展開定理。
  17. According to the constitutive relationship in linear piezoceramics, elliptical crack problems in impermeable case are analyzed with hypersingular integral equation method

    摘要在線性壓電陶瓷本構關系和裂紋邊界絕緣的框架下，用超奇異積分方程的方法對橢圓類片狀裂紋問題進行了重新研究。
  18. Several numerical results show that the proposed method is stable and accurate, and it is nearly not sensitive to the high -, low - frequency component of the incidence wave

    幾個典型數值算例表明，利用本文方法求解時域積分方程的結果具有非常好的后時穩定性和精確性，並且對低頻成份、高頻成份不敏感。
  19. Then, the dielectric targets ' electromagnetic scattering is researched. an important principle of electromagnetic field theory - - equivalent theory is introduced. as well as the conducting target, the geometrical model of the dielectric target should first be built, then triangular patches are used to model the surface of the dielectric target. different from the conducting target, there has not only equivalent electric current but also has equivalent magnetic current on the surface of the dielectric target. so now should built two equations - efie and mfie to obtain the unknown current coefficients. the rcs of dielectric sphere, dielectric cylinder, dielectric cube are calculated respectively

    其次，本文研究了介質目標的電磁散射，介紹了電磁場理論的一個重要的原理? ?等效原理。與導體目標一樣，先建立介質目標的幾何模型，然後用三角形面元模擬介質表面。與導體目標不同的是，在介質表面除等效電流外，還有等效磁流，因此需建立兩個方程? ?電場積分方程（ efie ）和磁場積分方程（ mfie ）來求解未知的電磁流系數。
  20. In this paper, firstly we present some results about of conventional bem, and multiple reciprocity method ( mrm ) for solving dynamics response of viscoelastic thin plate is given the whole plane expression and boundary integral equation for mrm, next we prove that the solution of the boundary integral equation obtained by mrm is the same as the one derived from the conventional fundamental solution of boundary value problem

    本文首先給出了常規邊界元方法的一些結果及在laplace變換區域中得到了由重調和運算元基本解序列給出了粘彈性薄板動力響應問題的多重互易法（ mrm方法） 。並對粘彈性薄板的動力響應問題的mrm方法給出了收斂性分析，證明了mrm方法導出的邊界積分方程的解與邊值問題基本解導出的常規邊界方程的解是相同的。
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