方程式的階 的英文怎麼說

中文拼音 [fāngchéngshìdejiē]
方程式的階 英文
order of an equation
  • 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...
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 的 : 4次方是 The fourth power of 2 is direction
  • 階 : 名詞1. （臺階） steps; stairs 2. （等級） rank 3. [醫學] （耳蝸的三個螺旋管的任一個） scala 4. [數學] order 5. [地質學] stage
  • 方程式 : capeta
  1. Focused on the asymptotic behaviour of mediant for fourth order lagrange ' s mean value theorem and obtained the main results as followed ( the equation is abbreviated )

    摘要對四階拉格朗日中值定理中間點的漸近性質進行了研究，得到的主要結果是（方程式略） 。
  2. In this paper, high - order accurate weighted essentially non - oscillatory ( weno ) schemes are investigated and their applications in hyperbolic conservation laws are discussed. based on this, a new weno difference scheme which based on dispersion - relation - preserving relation is developed, and representative test cases with this scheme for computational aeroacoustics ( caa ) problems has been implemented and compared in order to test capability of wave capturing ; in addition, weno schemes generally do not converge at high order in the presence of contact discontinuity of euler equations, so a conservative front tracking technique coupling weno schemes and level set method to simulate the translating density profile is presented here, and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy

    本文研究了高階精度加權基本無振蕩（ weno ）格式及其在雙曲守恆律方程中的應用，在此基礎上作了兩個方面的工作：一是針對高頻聲波問題構造出一種基於保色散關系（ drp ）的weno有限差分格式，並對計算氣動聲學（ caa ）問題的代表性算例進行了大量數值實驗，比較了該格式捕捉波數的能力；另外，針對高階weno格式在處理euler方程的接觸間斷時精度有所降低的問題，研究了利用界面追蹤技術levelset方法和高階激波捕捉weno格式相結合的一種守恆追蹤方法，並且給出有代表性的密度滑移面問題的算例，得到一致高階精度的數值模擬結果。
  3. The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes. an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved, some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations, and numerical methods to nonlinear fuzzy stochastic differential equations are proposed, the conditions for stability and observability of fuzzy linear systems are derived. the kalman filter algorithms of linear fuzzy stochastic systems are brought forward

    主要成果包括：提出了模糊隨機變量協方差和反向協方差的概念；研究了二階模糊隨機變量的均方收斂性，並在此基礎上得到了均方模糊隨機分析、平穩模糊隨機過程及其譜分解的若干定理；根據均方模糊隨機分析理論，得到了輸入為模糊隨機過程的線性系統的輸出輸入統計特徵關系方程；證明了ito型模糊隨機微分方程解的存在唯一性，並給出了ito型線性模糊隨機微分方程解的表達式，統計特徵方程以及非線性模糊隨機微分方程的數值解法；得到了模糊線性系統的穩定性和可觀性條件、線性模糊隨機系統統計特徵方程和線性模糊隨機系統的kalman濾波演算法；研究了當觀測值是模糊數據時，線性回歸模型的建立。
  4. In this paper, we develop the high - order accurate essentially non - oscillatory ( eno ) schemes on one and two - dimensional structured meshes in the finite volume formulation, and discuss their applications in hyperbolic conservation laws

    本文構造了一維、二維結構網格中的高階精度基本無振蕩（ eno ）有限體積格式，並且討論了它在雙曲守恆型方程中的應用。
  5. 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
  6. In this paper, we investigate the increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients. we have obtained the precise result

    摘要研究了多項式系數高階齊次線性微分方程解的增長級問題，得到了比前人更精確的結果。
  7. On the equation ( the equation is abbreviated ) with initial condition and periodic boundary condition a system of ordinary differential equations to time was built by the four - order difference method, then the precise integration method was used to solve the system

    摘要對于方程（方程式略）的初始值與周期邊值問題，利用四階差分化為關于時間變量的常微分方程組，然後採用精細時程積分法。
  8. Effective dielectric response of ellipsoid composites in which the dielectric function of the grains have the form of ( the equation is abbreviated ) ) embedded in a host medium is investigated in dilute limit based on perturbative expansion method, and general expressions for the effective linear dielectric function and ( - 1 ) - order nonlinear susceptibility of the two - phase system are derived in this paper

    摘要利用微擾展開法討論了任意階弱非線性橢球顆粒復合體系（假定顆粒組分的介電函數隨場變化，表示為（方程式略） ）的有效介電響應，導出了稀釋極限下兩組分橢球顆粒體系的有效線性和有效（ + 1 ）次非線性系數的一般表示式。
  9. A important result is the one - orde r expression of ar ( p ) yt = dyt - 1 + e, from paralleling a high - order differential equation transformation into a one - order differential equation system, the one - order expression exposes that the ar ( p ) is only a certain more - multivariable power series process and, if a process is described as an ar ( p ), the sufficient and necessary condition is the spectrum norm a of the coefficient matrix d less than one. simplification of ar ( p ) not only brings about orthogonal f ( h ) but also provides global foretelling formula

    作者用高階微分方程化一階微分方程組的方法，獲得多元弱平穩序列p階自回歸模型的一步滑動平均表達式，證明了ar （ p ）的是一個更高維的冪級數的線性過程，從而，說明了ar （ p ）關于序列依概率成立的充要條件是：該模型更高維的冪級數的線性過程的表達式中系數矩陣d的譜范數1 。
  10. The mostly conclusion of this part is as follows, on the conditon of travelling wave, the exact solitary wave solutions to some nonlinear wave equations such as sawada - kotera equation, kaup - kupershmidt equation, the fifth order kdv equation, fisher - kolmogorov equation, on the help of the computer algebraic system ( maple ), are explicitly established by making use of the hyperbolic function method. this part is maken up of three sections

    本部分的主要結論如下，利用雙曲函數展開法，在行波條件下，對sawada - kotera方程， kaup - kupershmidt方程，五階kdv方程， fisher - kolmogorov方程，等幾類非線性波動方程求解，將其孤立波表示為雙曲函數的多項式，從而將非線性波方程的求解問題轉化為非線性代數方程組的求解問題，並藉助于計算機代數系統求解非線性代數方程組，最終獲得了這些非線性波動方程的若干精確孤立波解。
  11. A new step - by - step integral procedure of dynamics equations is presented. the general expression of the solution of dynamics equations is obtained on the basis of the homogenous analytical solutions of dynamics equations and duhamel integration. the explicit analytical integration algorithm, which is characterized by fourth - order accuracy, self - starting and self - correcting, is employed to discretize the equivalent load terms

    另外提出了求解動力學方程的一個新型的逐步積分法，基於線性動力學方程的解析齊次解及duhamel積分，構造出適用於非線性動力學方程解的一般積分表達式，對包含非線性項的非齊次項採用插值近似的方法，得到一個單步顯式、自起步、預測校正具有四階精度的解析逐步積分演算法。
  12. 14 gallo g, mishra b. efficient algorithms and bounds for wu - ritt characteristic sets. effective methods in algebraic geometry, progress in mathematics, 1991, : 119 - 142. 15 gao x s, chou s c. a zero structure theorem for differential parametric systems

    本文簡要介紹了代數方程組的特徵列方法及其在幾何定理機器證明發現與含參數代數方程求解中的應用，進一步給出了基於特徵列方法代數閉域上的一階邏輯公式的判定演算法。
  13. In this paper, a class of the second order accurate explicit gauss schemes with staggered grids for the computation of solutions of hyperbolic conservation laws are presented, the advantages of these schemes are : riemann solver - free, faster and programming is much simple, no complete set of eigenvectors is needed and hence weakly hyperbolic system can be solved. in one dimensional case, these schemes are and total variation diminishing and convergence under the restriction of cfl condition, the convergence rate is the first order, and a pointwise error bound is presented

    本文在交錯網格的情況下，利用gauss型求積公式構造了一類求解雙曲守恆律的時空一致二階顯式gauss型差分格式，這類gauss型差分格式，具有不需要求解riemann問題、計算簡單、工作量少、編程簡便等優美特點，而且由於這類格式在應用於求解方程組的時候，不需要對方程組進行特徵分解，因此可應用於求解非嚴格的雙曲守恆律方程組。
  14. To solve the polynomial equation ? ( z ) = 0, this paper proposes a simultaneous iteration and investigates its convergence and initial condition. it proves that the convergence has order 3 under the initial condition

    摘要採用文[ 1 - 3 ]中提到的加速方法，對經典的牛頓迭代法進行加速，得到了一個新的求多項式方程根的迭代法，主要對其收斂性進行了分析，得到了在較好的初始條件下該法是3階收斂的。
  15. The research of this article finds the following suggestions helpful for china to better employ the special and differential treatment provisions in the wto dispute settlement. first, considering the different stages in the process of the wto dispute settlement, china should try its best to solve disputes within the consultation stage by using the additional time and means provided by these provisions ; use the provisions in the legal stage to strengthen its litigation status and better position itself against those stronger countries ; and use them in the implementation stage to win special and differential treatments in the matters of the reasonable period of time for implementation and the way as well

    本文經過研究，對我國應如何利用爭端解決機制中的特殊和差別待遇條款的對策提出以下建議：首先，從爭端解決程序的階段來看，在磋商階段，我國應利用這些條款所提供的時間和方式空間，盡可能在這一階段內解決爭端；在法律階段應利用特殊和差別待遇條款加強自己的訴訟地位，改善與優勢國家的力量對比；在執行階段，我國也要利用有關條款，力爭在執行的合理期限和方式上得到特殊和差別待遇。
  16. A new explicit difference scheme of high accuracy for solving four - order parabolic equation

    解四階拋物型方程新的高精度顯式差分格式
  17. This thesis presents the high resolution numerical simulation methods for multi - fluid dynamics. the main contents include three parts : the first is a set of interface capturing equations deduced to describe the interface evolution, which is suitable for constructing two - order enhanced un - split finite volume scheme and three - order parabolic - piecewise - method ( ppm ) scheme in euler coordinate ; the second is the capabilities of level - set method for tracking multi - fluid interfaces are unproved ; the third is that the computational resolutions are much more advanced by improving adaptive mesh refinement ( amr ) technique

    主要研究目的是獲得多介質流體流動的高精度數值模擬方法，主要內容包括界面捕捉方程的推導，適用於euler坐標系的增強型二階精度非維數分裂有限體積計算格式和三階精度ppm格式構造，以及發展改進levelset方法提高捕捉流體界面的能力，發展改進網格自適應技術提高各類方程解的計算精度。
  18. The arbitrary order explicit precise time integration method for stiff equations

    任意階顯式精細積分多步法在剛性方程中的應用研究
  19. Beyond the usual method, the one dimensional equation was expressed in the form of ( the equation is abbreviated ), which then was introduced by middle varible ( the equation is abbreviated ), so that the same solution of initial value problem by the characteristic curve method of the first order equations ( the equation is abbreviated ) and ( the equation is abbreviated ) was abtained

    摘要對一維非齊次波動方程的始值問題在傳統的疊加原理、達朗貝爾公式、齊次化原理的方法之外，完全用特徵線方法，先將方程表示為（方程式略）的形式，進而引入中間變量（方程式略） ，得以用一階方程（方程式略）的特徵線方法，推導出維該始植問題的與傳統方法相同的解。
  20. Consider the second - order semi - linear neutral difference equation ( the equation is abbreviated ) ( 1 ) the sufficient conditions are established for oscillation of the solutions of ( 1 )

    摘要考慮二階半線性中立型差分方程（方程式略） （ 1 ）給出了方程（ 1 ）的解的振動性的充分條件。
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