特殊函數 的英文怎麼說
中文拼音 [tèshūhánshǔ]
特殊函數
英文
special functions- 特 : Ⅰ形容詞(特殊; 超出一般) particular; special; exceptional; unusual Ⅱ副詞1 (特別) especially; v...
- 殊 : Ⅰ形容詞1 (不同; 差異) different 2 (特別; 特殊) outstanding; special; remarkable Ⅱ副詞[書面語]...
- 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
- 特殊 : special; particular; peculiar; exceptional
- 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
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A linearization method for minimizing a particular class of quasi - differentiable functions
一類特殊擬可微函數最優化問題的線性化方法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。There is a special class of functions which is particularly important in economics, namely the class of homogeneous functions.
有一種特殊類型的函數在經濟學中特別重要,這就是齊次函數。This text expanded the magnetoelastic stability issue of current - carrying component from coil, pole piece to thin current - carrying plates, and used special function to differentiate the critical state of losing magnetoelastic steady, the number value of getting the relevant parameter is solved. the text derives and provides the magnetoelastic movement equation of thin current - carrying plates, the geometry equations and the physics equations, the expression formula of lorent ’ s force, electro dynamics equation through the theory at first
本文將載流構件磁彈性穩定問題由線圈、桿件拓展到載流薄板,並引入特殊函數判別磁彈性穩定問題的失穩臨界狀態,得到了相關參量的數值關系。首先通過理論推導給出了載流薄板的磁彈性動力學方程,幾何與物理方程,洛侖茲力的表達式,電動力學方程。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。A new approach about the alternat - circuit of special - cycle fun ction
計算特殊周期函數交流電路的新方法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Compared with the classical bp algorithm, robust adaptive bp algorithm possesses some advantages as following : ( 1 ) increasing the accuracy of the network training by means of using both the relative and absolute residual to adjust the weight values ; ( 2 ) improve the robustness and the network convergence rate through combining with the robust statistic technique by way of judging the values of the samples " relative residual to establish the energy function so that can suppress the effect on network training because of the samples with high noise disturbances ; ( 3 ) prevent entrapping into the local minima area and obtain the global optimal result owing to setting the learning rate to be the function of the errors and the error gradients when network is trained. the learning rate of the weights update change with the error values of the network adaptively so that can easily get rid of the disadvantage of the classical bp algorithm that is liable to entrap into the local minima areas
與基本bp演算法相比,本文提出的魯棒自適應bp演算法具有以下優點: ( 1 )與魯棒統計技術相結合,通過訓練樣本相對偏差的大小,確定不同訓練樣本對能量函數的貢獻,來抑制含高噪聲干擾樣本對網路訓練的不良影響,從而增強訓練的魯棒性,提高網路訓練的收斂速度; ( 2 )採用相對偏差和絕對偏差兩種偏差形式對權值進行調整,提高了網路的訓練精度; ( 3 )在採用梯度下降演算法對權值進行調整的基礎上,通過將學習速率設為訓練誤差及誤差梯度的特殊函數,使學習速率依賴于網路訓練時誤差瞬時的變化而自適應的改變,從而可以克服基本bp演算法容易陷入局部極小區域的弊端,使訓練過程能夠很快的「跳出」局部極小區域而達到全局最優。Since the antiplane scattering problems of local sites could be divided into two kinds : interior and exterior problems, main points to solve the problems are graf ' s addition theorem. so two expressions and suitable range of the graf ' s addition theorem are studied hi the paper. moreover, an auxiliary function method for mixed boundary - value problems are also discussed in this paper
由於典型局部場地彈性波出平面散射問題可以分為內域型和外域型兩大類,求解這些問題的要點是要完成特殊函數在不同坐標系間的變換,因此本文對graf加法公式的兩種表達及其適用范圍做了研究,另外對解決混合邊值問題的輔助函數法做了研究。Equations of mathmatical physics special functions
數理方程與特殊函數Then, use galerkin principle to put the stability equation in order for the special function the mathieu standard form, and utilize the boundary of the mathieu solves ’ steady area and unsteady area, namely special relationships of and, draw the discrimination equation of losing the magnetoelastic steady critical state
然後,應用galerkin原理將穩定性方程整理為特殊函數馬丟方程的標準形式,並利用馬丟方程的穩定解區域與非穩定解區域的分界,即系數和的本徵值關系得出了磁彈性最低失穩臨界狀態的判別方程。An area of the stack associated with a particular function call
一個關聯特殊函數調用的堆棧區域。Ing. this function, as the name implies, returns the data represented by the variable as a
Ing )的簡寫形式)的特殊函數可以將visual basic中的每個變量轉換為文本。The convergence and precision of the analytical solution in this case are studied and discussed to fill the space of the research
本文對淺圓弧型沉積盆地解析解答的收斂性和精度做了研究和討論,彌補了以往工作中由於特殊函數數值計算的限製造成的這一方面研究的缺陷。Abstract : a computational formula of approximate value of minimum point and minimum value for some particular functions was infered by interpolation method of equidistant points
文摘:利用等距節點的插值的方法,推導出某些特殊函數的最小點及最小值的近似值的計算公式If there is some special function specific to a data source and not available on websphere information integrator, you need a function template definition for that function
如果存在特定於某個數據源的、在websphere information integrator上沒有的特殊函數,則需要那個函數的函數模板定義。This paper analyses deeply certain properties of special function, and uses these properties to discuss the relation between the positions of f distribution density curves with different parameters
摘要該文較深入地分析了特殊函數的某些性質,利用這些性質分析了f分佈中不同參數所對應的密度曲線之間的位置關系。According to plant model, modified design method based on partly cancellation is adopted for ac power system. because new controller has strong stability, rc system does n ' t need high accurate mathematics model. furthermore, the stability can be improved by using special function in im and compensator
其次,根據現有數學模型的特點,採用局部對消的思想設計了相應的重復控制器,解決了重復控制器對模型精度要求高、系統不易穩定的問題,並在控制器的設計中引入函數型內模和特殊函數,進一步提高了系統的性能。This method simplified the complexity of linear separating algorithms. this thesis construct an characteristic - like function and find a special matrix, transforming bss into eigenvalue decomposing problems to solve a class problem of linear mixture
本文構造了一個類特徵函數,找尋了一個特殊矩陣,將bss問題轉化為此矩陣的特徵值分解問題,解決了一類線性瞬時混合盲分離問題。Another option to think about, however, in writing specialized numeric functions using pyrex is whether numerical python might be a suitable tool for your work. the numeric
然而,在使用pyrex編寫特殊的數值函數時,另外一個需要考慮的選項是是否可以使用numerical python作為工具。分享友人