積分方程的核 的英文怎麼說

中文拼音 [jīfēnfāngchéngdehé]
積分方程的核 英文
kernel of an integral equation
  • 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
  • 核 : 核構詞成分。
  • 積分 : 1. [數學] integral; integrate; integration 2. [體育] （積累的分數） accumulate points
  1. 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。
  2. The influence of the cloud droplet spectrum character and the spectrum growth and change is considered, which does not use a cut - off value for conversion from cloud water into rain water process. in the continuous coalescence equation, the particles fall velocity difference is not moved out from the integral, but is integrated in the equation as the function of diameter d to avoid the error of using particles average fall velocity. in the new scheme, generation rate of graupel due to the collection of snow by graupel and the collection of cloud ice by graupel are included

    雲中凝結核ccn的數濃度採用超幾何函數表示；雲水向雨水的自動轉換過程採用grabowski （ 1999 ）的公式，考慮了雲滴譜的特徵和發展變化對該過程的影響，而不是採用原方案給定閾值的方法描述該過程；對連續碰並方程不再將粒子落速差作為常量提出積分號外，而是直接作為粒子直徑函數在積分號內求解，這樣處理可以迴避使用粒子群的平均落速帶來的誤差；增加了霰和雪、霰和冰晶的碰並微物理過程。
  3. In this paper, the course of isothermal crystallization kinetics of polymer in limited volume unit is simulated by use of the method of monte carlo. four factors influenting on the course of polymer in the limited volume unite isothermal crystallization are analyzed under the given conditions. the four factors are sample volume shrinkage, the change of the linear growth rate of entities g, the change of sample thickness and the change of the number of nuclei

    本文採用montecarlo方法研究了高聚物在有限體積元中的等溫結晶動力學過程，分析了在一定條件下，樣品體積收縮、晶體線生長速率變化、樣品厚度變化和晶核數目變化這四種因素對高聚物在有限體積元中的等溫結晶過程的影響。
  4. For the given sample points, and matrix formed by covariance function with sample points as parameters, when the number of sample points approaches infinite, it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation

    對給定的樣本點，由樣本點為變量的協方差函數構成的矩陣，當樣本點個數趨于無窮大時，證明此矩陣譜逼近於積分方程正定核的譜逼近定理。
  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. A general stack equation of mobile robot based on analyzing the motion of planar motion object and the mathematical models of four different kinds of common wheels is developed, accordingly, the mobility of mobile robot is addressed and the forward and inverse solutions to speed for specific configuration driven by differential speed are derived. utilizing the muir and newman convention, the description of the posture transformation matrices between different coordinate frames and the solution for the speed of point located on these frames are introduced. according to posture estimation, a more accurate method, dead reckoning algorithm, is developed for a specified configuration characterized by differential speed motorization, and simulations of this algorithm and other traditional methods are carried out using matlab while traversing a circular path

    本文對兩輪差速驅動移動機器人的運動學及其本體緩沖設計進行了探討，在對平面運動物體運動分析的基礎上結合四種常用車輪的數學模型，推導出了一個通用的移動機器人堆積方程，在此基礎上分析了移動機器人的移動能力、並針對兩輪差速構型推導了速度正解與逆解；使用muir和newman的運動學建模方法，推導了移動機器人上點及連桿坐標系位姿、速度變換關系矩陣及求解方法；在移動機器人位姿識別方法中結合差速驅動構型對航位推演算法進行了分析：推導了一種理論精度較高的航位推算演算法，並使用matlab對其與傳統的推算演算法在跟蹤圓弧軌跡情況下進行了模擬；最後針對本文所研究的機器人給出了一種比較系統、可靠的緩沖結構設計思路，較好地解決了移動機器人作業過程中外界因素及本身設計中引入的各種不確定誤差問題；本論文研究成果已在本實驗室所開發的樣機上得到實現，經過應用與考核證明其中的分析與設計是切實可行的。
  7. 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。
  8. 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。
  9. In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples

    第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。
  10. Kernel of integral equation

    積分方程的核
  11. Using the microwave selective heating property for materials, by setup equivalent equation, and first time inducing the electromagnetic field perturbation theory to the design of heating materials for substrate in mpcvd, three temperature distribution modes were established, including temperature distribution comprehensive mode of inhomogeneous plasma, temperature distribution composite mode of composite substrate materials, temperature distribution perturbation mode of composite materials, which ii provided an whole new technology route to the design of substrate heating system in mpcvd and guided the preparation of heating materials for substrate. and then the heating materials for substrate were designed and optimized to obtain large area homogeneous temperature distribution even larger than substrate holder ' s diameter. as an important part, this thesis researched the nucleation and growth of diamond films in mpcvd, systematically researched the effects of substrate pretreatment, methane concentration, deposition pressure and substrate temperature etc experimental technologic parameters on diamond films " quality on ( 100 ) single crystal silicon substrate in the process of mpcvd, characterized the films qualities in laser raman spectra ( raman ), x - ray diffraction ( xrd ), scanning electron microscopy ( sem ), infrared transmission spectra ( ir ), atomic force microscopy ( afm ), determined the optimum parameters for mpcvd high quality diamond in the mpcvd - 4 mode system

    該系統可通過沉積參數的精確控制，以控制沉積過程，減少金剛石膜生長過程中的缺陷，並採用光纖光譜儀檢測分析等離子體的可見光光譜以監測微波等離體化學氣相沉積過程；利用微波對材料的選擇加熱特性，通過構造等效方程，並首次將電磁場攝動理論引入到mpcvd的基片加熱材料的設計中，建立了非均勻等離子體溫度場綜合模型、復合介質基片材料的復合溫度場模型及復合介質材料溫度場攝動模型，為mpcvd的基片加熱系統設計提供了一條全新的技術路線以指導基片加熱材料的制備，並對基片加熱材料進行了設計和優選，以獲取大面積均勻的溫度場區，甚至獲得大於基片臺尺寸的均勻溫度區；作為研究重點之一，開展了微波等離體化學氣相沉積金剛石的成核與生長研究，系統地研究了在（ 100 ）單晶硅基片上mpcvd沉積金剛石膜的實驗過程中，基片預處理、甲烷濃度、沉積氣壓、基體溫度等不同實驗工藝參數對金剛石薄膜質量的影響，分別用raman光譜、 x射線衍射（ xrd ） 、掃描電鏡（ sem ） 、紅外透射光譜（ ir ） 、原子力顯微鏡（ afm ）對薄膜進行了表徵，確立了該系統上mpcvd金剛石膜的最佳的實驗工藝參數。
  12. In this thesis, we present a fast self - adaptive algorithm for fredholm integral equations of the second kind with weakly singular kernels. briefly speaking, we design an algorithm which can determine the correlated parameters such that the corresponding numerical solution has given accuracy

    本文考慮核函數有弱奇性的第二類fredholm積分方程的自適應快速數值解法，即事先給定數值解的精度，設計演算法確定相關的參數使得數值解滿足精度要求。
  13. The fipwa based on electric integral equation ( efie ) is presented firstly, the green ’ s function expansion with sommerfeld identity ( based on bessel kernel ) is studied and the msdp for two cases is formulated. in order to improve the iteration property and avoid inner resonance, the combined field integral equation ( cfie ) fipwa is then constructed successfully

    首先研究了基於電場積分方程的快速非均勻平面波演算法，對索末菲恆等式（基於貝塞爾積分核）展開的格林函數進行了深入研究，分兩種情形解決了修正最陡下降路徑的設計問題。
  14. At first reviewing the history of strategy management ; on the basis of analyzing the external environment and industry competition situation of this enterprise and analyzing its advantages and disadvantages. internal abilities, the paper points out the suitable development strategy for this enterprise - - the single - crop farming strategy concentrating its attention on piston ' s research and development producing and selling ; it should take advantage of established market network and good reputation on brand and select the style of initiative attack market leader strategy as its basic strategy ; meanwhile, it suggests that the enterprise should cultivate its own new core competence in the field of the piston ' s researching & designing rely on japanese and german technique ; according to the specific product ' s marketing status, it should acquire and maintain competitive advantages by adopting the low cost strategy and differentia strategy on the different products ; quicken the product configuration adjustment, enlarge the productivity of diesel oil piston ; it should establish strategy cooperation partnership with those strong domestic and foreign main engine manufacture enterprises. finally, the paper gives suggestions on organization structure system innovation, human resource management and exploitation, market management, quality management, information construction in the course of the enterprise strategy being implemented

    首先回顧了戰略管理理論的發展演變歷程；然後通過對該公司的宏觀環境、行業競爭態勢以及企業的優劣勢、內部能力等方面的分析，在此基礎上提出了適合該企業發展的戰略? ?專注于活塞產品的研製、開發、生產、銷售的單一經營戰略；充分發揮企業現有的在營銷、品牌方面的優勢，選擇積極進攻類型的市場領先者戰略作為其基礎戰略；並且提出了依託來自日本和德國的先進技術，培育企業在活塞產品設計、開發方面的新的核心競爭力的思路；根據產品市場的具體狀況在不同的產品線上分別採取成本領先及差異化戰略獲取和保持競爭優勢；加快產品結構調整，擴張柴油機活塞的生產能力；與實力強大的國內外主機企業建立戰略協作夥伴關系；最後對企業戰略實施中的組織機構、制度創新、人力資源管理與開發、市場營銷管理、質量管理、信息化建設等重要問題提出了自己的見解和建議。
  15. On method of solution for a class of dual completing singular integral equation with two convolution kernels

    關於一類含二個卷積核的對偶型完全奇異積分方程的求解
  16. Some problems on the solution of the singular integral equations with both cauchy kernel and convolution kernels

    核和卷積核混合的奇異積分方程求解方法的研究問題
  17. In this paper, the method of solution in the vector format for a kind of dual singular integral equation with two convolution kernels is discussed, and the general explicit solution and the related conditions of solvability are obtained

    摘要本文對文[ 2 ]中的含兩個卷積核的對偶型奇異積分方程給出了向量形式求解方法，並且給出了一般解的顯式及相應的可解條件。
  18. This paper uses complex simpson numerical integration, trapezium area formula and optimization theory to precisely compute according. to mathematical model. it provides data and reference to help check turning conditions of platform lorry, and realizes real time, dynamic inquiry of platform lorry design

    利用復合simpson數值積分方法、梯形面積型心公式和最優化理論對數學模型進行了精確求解，為平板車轉彎工況的校核提供數值和理論依據，實現了平板車設計過程的實時、動態查詢。
  19. The wavelet method for solving

    核的奇異積分方程的小波方法
  20. The thesis is divided into two parts. in the first part of the thesis, we discuss the solution of the discrete linear systems of the equations by the generalized minimal residual ( gmres ) method

    本文分為兩部分，第一部主要考慮在給定參數（包括積分節點的選擇和核函數的逼近方法）的情況下，如何應用廣義極小剩餘法（ gmres ）求解離散方程組。
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