齊次方程 的英文怎麼說

中文拼音 [qícìfāngchéng]
齊次方程 英文
homogeneous eqation
  • 齊 : 齊名詞[書面語]1. （調味品） flavouring; seasoning; condiment2. （合金, 此義今多讀 ） alloy
  • 次 : Ⅰ名詞1 （次序; 等第） order; sequence 2 [書面語] （出外遠行時停留的處所） stopping place on a jou...
  • 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...
  • 次方 : capital
  1. Discussion on losing the solution of the square distance of the rank differential calculus

    對於一階齊次微分方程遺失解的討論
  2. Homogenization of ginzburg - landau equations

    方程的齊次化
  3. Lastly the above stiffness matrix, the nodal variables of which are the dual of stress functions, is replaced by a new one with simple displacements vector regarded as unknown. such finite element satisfies homogeneous equilibrium equations and can pass the patch test as long as the original plane elasticity element can pass the corresponding patch test

    所得到的板彎曲單元在單元內部滿足齊次平衡方程，並且只要原始平面彈性單元能通過常應變分片試驗則轉換得到的板單元一定能通過常曲率分片試驗。
  4. Using the trial - solution method under specific boundary conditions, the diffusion equations were derived of chlorine, singlet oxygen, and total oxygen in gas and liquid phases

    在實際工作中的射流發生器非常復雜，其擴散方程和邊界條件為非線性，非齊次邊界條件，非齊次泛定方程組，求解難度較大。
  5. The sorts of same solution for solvable nonhomogeneous linear equations

    非齊次線性方程組的同解類
  6. In the last forty years the research for finding solitary wave solutions has been experienced a great growth and some sucessful methods including the inverse scattering theory, backland transform, hirota ' s bilinear methods and the homogeneous balance method have been presented in succession

    近四十年來非線性演化方程孤波解的解法研究蓬勃發展，相繼誕生了一些比較成功的求解方法，如反散射方法、 b （ ? ） ckland變換方法、 hirota方法以及齊次平衡方法等，這些方法多年來得到了廣泛的發展和應用。
  7. In this paper, i consider the traveling wave solutions and peakons of the generalized camassa - holm ( gch ) equation and give the express of the solitons of this equation. the peakons and their figures of the gch equation are given with the mathematic software for m - 1, m = 2 and m = 3 in particular ; for m = 3, i get the generalized dissipative camassa - holm equations by adding a dissipative term and find two types exact traveling wave solutions of this equations. i also apply the homogeneous balance method into the gch equation so that i get a group of smooth solutions for m = 2 and m = 3 and the backlund transformation for m - 3 of the gch equation

    本文研究廣義camassa - holm （ gch ）方程的行波孤立子解及尖峰孤立子解，給出gch方程的行波孤立子解的表達式，特別的，對m = 1 、 m = 2 、 m = 3時利用mathematica數學軟體進行計算，解出了gch方程的尖峰孤立子解，並給出了此時gch方程的尖峰孤立子解的圖形，使數值分析和理論相結合；對m = 3時的gch方程增加一耗散項u _ （ xx ）后得到廣義耗散camassa - holm方程，並解出此方程的兩類精確行波解；本文將齊次平衡法應用到gch方程中，解出m = 2 、 m = 3時的gch方程的一組光滑解，同時應用此方法得到了m = 3時的gch方程的backlund變換。
  8. Variation principle of piezothermoelastic bodies, canonical equation and homogeneous equation

    壓電熱彈性體的變分原理及正則方程和齊次方程
  9. In this paper, by using the property of fourier series a compound series consisting of trigonometric series and power series is established

    摘要利用由三角級數和冪級數復合構成的函數項級數的有關性質，得到了一類變系數非齊次調和方程邊值問題的級數解。
  10. In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay

    本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。
  11. In chapter three, we in - troduce the homogeneous balance method and improve some key steps in it, then by using this method we are able to obtain mul - tiple soliton solutions of some nonlinear partial differential equa - tions

    第三章，討論了利用齊次平衡法求解非線性方程孤子解的問題，並對其一個關鍵步驟進行改進，使其能夠求解非線性方程的多孤子解。
  12. When there is nozero object in category, the generalized inverse of morphisms are studied through the equa - alizer, the necessary and sufficient conditions for generalized inverse is obtained, and the relation between the linear equation and the equalizer is presented in matrix category

    當范疇不具有零對象時，以態射偶的等化子為工具討論態射的廣義逆，並在矩陣范疇中建立了齊次線性方程組的解與等化子的關系。
  13. The increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients

    多項式系數高階齊次線性微分方程解的增長級
  14. In chapter 2, we study the regularity of solutions of some second order differential equations. in chapter 3, we study the regularity of solutions of higher order non - homogeneous differential equations where coefficients are rational functions or super entire functions. in chapter 4, we study the regularity of solutions of higher order homogeneous differential equations where coefficients are super meromorphic functions

    其中第二章研究了某些二階方程解的正規性；第三章在系數分別為有理函數和超越整函數的情況下研究了高階非齊次方程解的正規性；第四章在系數為超越亞純函數的情況下研究了高階齊次方程解的正規性；第五章則是假設在方程系數為正規亞純函數的條件下得到的解的增長性方面的結果。
  15. This condition comes down to the problem of finding the solution of a set of quadratic equations. the solution of this set of quadratic equations is a set of orthonormal vectors, which makes the equations more easily solved

    具體使用這個判據時，雖然也要解方程組，但該方程組是一個二次齊次方程組，而且其解有較好對稱性，因此該判據對很多態都可方便地使用。
  16. It gives a new expression method for the solution of often coefficient linear siuu1taneous differential equation, with the aid of uneven sublinear system of equations ' s standard base solution matrix nature, gradually approximation, derivative principle, the text give the limited form of this system of equations solution and the developments for the contents of literature

    摘要提出了常系數線性微分方程組解的新的表達方式，藉助齊次方程組的標準基解矩陣的性質、逐步逼迫法、導數法則，給出了這個方程組解的有限形式。
  17. As for nonlinear problem, the approximation schemes and the error analysis of pti are investigated, in order to avoid the computation of inverse matrix, the pti with dimensional expanding is proposed. the methods of constant, linear, sinusoidal approximation are proposed for the transformation of non - homogenous terms

    通過增維技術，該演算法將非齊次方程齊次化，從而避免了矩陣求逆，並給出非齊次項常數近似、線性近似和正弦餘弦近似的處理方法。
  18. Deng, li and liu extended the result to a more general class of k ( x ), with the topology introduced in ( 0. 3 ), we prove the stability and asympototic stability of the steady states of ( 0. 2 )

    Deng ， li和liu把這個結果推廣到一般的k （ x ） 。我們將證明非齊次方程平衡解的穩定性。
  19. Because the questions of partial differential equations make green function method studied difficultly for student, the variation of parameters formula and ordinary differential equation are put forward. initial value of ordinary differential equation and the boundary value of ordinary differential equation are discussed. green function with time and green function without time are introduced and theirs equations and conditions are calculated

    基於偏微分方程問題造成學生學習green函數方法的困難，我們以常微分方程為切入點，從學生熟悉的參數變動法解非齊次方程出發，討論了非齊次常微分方程的初值問題和邊值問題，引入含時green函數和與時間無關的green函數，得出它們應滿足的方程與條件，分析這些green函數最一般的性質及物理含義，從而驗證了通常green函數方法在數學上的合理性，在此基礎上總結並規范了green函數方法解決問題的基本思想和步驟。
  20. In chapter 2, we study the further results on the properties of growth of solutions of one kind of higher order linear differential equations with entire coefficients, when there is one coefficient that is main dominating to the properties of the solutions, we obtain precise estimate of hyper - order of solutions of equations either homogeneous or non - homogeneous and relations between the solutions and functions with smaller growth

    本文研究了某些高階線性微分方程解的增長性問題。其中第二章研究了一類高階整函數系數微分方程解的增長性的進一步結果，當存在某個系數對方程的解的性質起主要支配作用時，得到了齊次與非齊次方程解的超級的精確估計及方程的解與小函數的關系。
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