特殊函數方程 的英文怎麼說

中文拼音 [tèshūhánshǔfāngchéng]
特殊函數方程 英文
special functional equations
  • 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
  • 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...
  • 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
  1. 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。
  2. 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。
  3. According to eigenvalue equation ( general formula ) of the energy method of the plane steel frame structure stability, and considering the restriction of the end of the column of the main steel frame and function of deflection curve gained from the differential balance equation general resolution, we get the equation for calculating the length coefficient of the main frame structure stability of the steel arch gate and the resolutions are also given

    根據平面剛架穩定性能量法特徵值方程（通式） ，考慮弧形鋼閘門主框架柱的柱端約束的特殊情況，求出撓曲線函數（試解函數）通解，得到弧形鋼閘門主框架柱穩定性計算長度系數方程。其中弧門主框架主橫梁式形框架的臨界荷載比較現行規范推薦的有限元法簡單方便、結果精確及物理概念明確等優點。
  4. Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations

    第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。
  5. Equations of mathmatical physics special functions

    數理方程與特殊函數
  6. In the third chapter, we introduce geometric expansion of convex planar curves. we discuss the evolution equation using minkowski ' s support function with the speed function of curvature and show that the shapes of curves become round asymptotically when the initial closed curves is smooth and convex

    限制曲線在外法向上的演化速度是另一類特殊的曲率函數，研究相應的方程，我們得到了在初始為凸的閉簡單光滑曲線的條件下，曲線的最後形狀是漸近地趨於一個圓。
  7. The envelop functions of ground motion for the small - moderate earthquakes in the near - source field are different with those of the larger earthquakes. there are not stationary part any more in the envelop function of these ground motions. after we analyze the characteristics of these envelope functions we take a exponent function instead the three part function

    近場的中小地震由於其在到震源的距離與震級方面的特殊性，其時程包絡函數的形狀與遠震、大震有很大的區別，在遠震、大震包絡函數中很常見的平穩段不再存在。
  8. The engendering source of traffic volumes and their general influential factors have been presented, and the situation of nowadays highway transportation has been discussed. according to the introduction of traffic distribution theory and classical assignment method, analysis of traffic flow path selection among cities and that of special influential factors for traffic flow on toll highways, initial analysis to the forming mechanism of traffic volume on road sections has been made, and a probability model for path selection has been set up with the maximum - utility theory and disaggregating model. detailed analysis to impedances on road sections and their functions ( especially to three main composing factors of the impedances as cost of time, transport and toll and to the functional relations with traffic loads ) was made, at the same time, the relative cost calculating model was set up on the basis of the state - of - art achievements in both international and national researches

    主要研究內容包括：交通量的產生根源及一般影響因素分析和當前公路運輸地位討論；從交通分配理論及經典配流方法著手，通過分析城市間交通流路徑選擇行為和收費公路路段交通量特殊影響因素，初步提出路段交通量的形成機理，並採用效用極大原理和非集結模型理論（ disaggregationmodel ） ，建立用戶出行路徑選擇概率模型；對路段阻抗及路阻函數（尤其對行程時間費用、車輛營運費用和道路收費這三個構成路段阻抗的主要因素及其與交通負荷間的函數關系）進行較為詳盡的分析，並以現階段國內外較為先進的研究成果為依據建立相應的成本測算模型，其中，特別提出了兩種確定客貨車輛時間價值的分析方法；離散分析法和時間-費率轉換法，後者是在目前基礎調查、統計數據資料不夠齊全的現實下提出的一種確定道路系統內務車型時間價值的較為實用的新方法；對我國公路收費政策的背景和理論、實踐依據及費率的各種影響因素進行重點分析；從數學的角度證明合理費率的存在性，並以最優化理論為基礎，建立在普通收費公路和擁擠路段交通調控型收費公路兩種模式下合理費率的計算模型等。
  9. There are many kinds of ways to solve the electrostatic field of two - dimensional laplace ’ s equation or the poisson ' s equation, like the separation of variables, green ’ s function or alternative means. but if their boundary shapes are quite complex, it is extremely difficult to use these usual methods, and, in general, it is impossible to work out even there is such peculiar instance as analytic solution, or obtains the approximate solution

    對二維拉普拉斯方程或泊松方程的平面場的解法有多種，如分離變量法、格林函數法或者其他方法，但如果它們的邊界形狀比較復雜，用這些通常的方法求解會非常困難，即使對于存在有解析解的特殊情況，一般說來也不可能求出，而且求得的只能是近似解。
  10. First according to the fact that tangential components of the evolution do not affect the geometric shape of the evolving curves, we introduce the evolution equation of geometric quantities for the general planar curves. then we describe the work of gage - hamilton briefly. last we consider a special curvature flow of curve which evolves with speed function of the principal curvatures along the inner norm and show that convexity of the curve is kept and its length and area are contracted if the initial closed curve is smooth and convex. so the final shape of the curve will be a point in finite time

    首先根據曲線在切向分量上發展是不影響曲線的發展形狀，我們引入了曲線的一些幾何變量的發展方程；其次我們簡要地回顧gage - hamilton研究曲線發展的一般步驟；最後我們考慮沿曲線的內法線以曲率的函數為發展速度的一類特殊的曲線族，證明了在初始曲線為凸的閉平面簡單曲線條件下，曲線將保持凸的，並且它的面積和周長將同時收縮，並在有限時間內成為一個點。
  11. 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。
  12. The quadrilateral mesh and a special kind of linear basis function is selected on the rooftop so that the treatment of the attachment of the wire antenna to the surface patch is easier than other methods reported in literatures. using the proposed method, the analyses and prediction of electro - magnetic compatibility of the electrically small conducting structure are achieved, which provides a theoretical guidance in the system level design

    在使用矩量法的過程中，山于在金屬物體表面運用四邊形面元進行剖分，並在面元上選擇了一種特殊的線性基函數，園時在細天線和面元的連接處使用了改進了的方法，使得在處理細天線與面元電流相連接的部分較之以往文獻提到的方法更為簡單。
  13. By the properties of k - th order symmetric function, we obtained some estimations of integral mean value of the solutions of the boundary value problems for some kind of special partial differential equations in dk which can be changed into laplace equations in the unit circle by way of suitable transform

    另外， d _ k上的某一類特殊的偏微分方程經過適當變換后轉化為單位圓上的laplace方程，其邊值問題的解的積分平均估計可由k次對稱化函數的性質較好給出。
  14. This paper summarized the characteristic and localizations of the special contact elements that can simulate the joints in rockmass. except for those, three kinds of numerical methods for dynamic contact analysis were introduced. then, the augment lagrangian method that combined lagrangian multiplier and penalty function was applied to the dynamic contact analysis with friction

    本文闡述了模擬巖體裂隙節理的特殊接觸面單元，分析其特點和局限性；介紹了三種處理動力接觸問題的數值演算法，利用lagrange乘子法和罰函數法聯合的增廣lagrange乘子法建立起裂隙節理的動力摩擦接觸條件和本構方程以及有限元基本方程，並運用此數值方法分析一具有貫通節理面的動力摩擦接觸問題，得出一些基本規律。
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