order of equation 中文意思是什麼

order of equation 解釋
方程的階
  • order : n 1 次序，順序；整齊；（社會）秩序，治安；狀況，常態；健康狀態；條理；會場秩序；議事程序，日程；...
  • of : OF ＝Old French 古法語。
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. The main idea of this method is to choose a set according to the order of polynomials, to eliminate by making use of bezout eliminant, get zero set from the improved formula about set of zero points, so that a polynomial system of equation ~ set of zero points can be got only by one time arrangement

    該方法的主要思想是：根據多項式秩的大小選取基組，採用貝左結式消元，用改進型零點集結構式確定零點集，從而只需一次整序就可求得一個多項式方程組的零點集。
  2. For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures

    對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。
  3. A simple method of solving first - order indefinite equation

    一次不定方程的簡易解法
  4. In this paper, we study the finite iterated order of growth and the iterated convergence exponent of the zero sequence of nonzero meromorphic solutions of second order homogeneous linear differential equation, and obtain some precision evaluation

    摘要研究了二階齊次線性微分方程非零亞純解的迭代級與零點迭代收斂指數，得到了它們的精確估計。
  5. In chapter 2, we discuss the problem of the relationship between the solution of non - homogeneous linear differential and small function. in chapter 3, we investigated the relationship between exponent of convergence to zero - sequence of the solution of certain homogeneous linear differential equation f ( k ) + a ( z ) f = 0 and the order of growth of a ( z )

    其中第二部分討論了非齊次線性微分方程解取小函數的收斂指數，第三部分研究了齊次線性微分方程f ~ （ k ） + a （ z ） f = 0的解的零點收斂指數與a （ z ）的級的關系
  6. This method is also valid for identifying the circuit and branch defect of first group spatial linkages based on the equivalent of circuit properties of the first group spatial linkages and its equivalent sphere four - bar linkage base on the property of the solutions of quartic equation, the conclusion that the number and order of branch between two adjacent stationary positions of the input link are derived. then, the new method to identify circuits of spatial single - loop linkages with four closures is presented. all types of the manner on which the branches coalesce at the stationary positions of the input link are obtained and the procedures to determine the type automatically are developed

    基於一元四次方程解的性質，得到了在輸入構件兩個相鄰瞬時靜止位置之間機構的分支的數目和大小順序不變的結論，進而提出了識別具有四個封閉形的空間單環機構迴路的新方法一一死點法，綜合出了輸入構件位於瞬時靜止位置時機構分支結合情況的所有類型及其自動判別方法，研究了由所有結合的分支信息自動生成迴路的演算法，首次解決了此類機構迴路與迴路缺陷的自動識別。
  7. The convergence exponent of the zeros and growth order of meromorphic solutions for higher - order differential equation

    高階微分方程亞純解的零點收斂指數和增長級
  8. Part 2 we consider the following second - order hyperbolic equation with a a uniformly elliptical operator independent of t

    第二部分：我們考慮以下二階雙曲型問題運算元a一致橢圓運算元且與t無關。
  9. The treatments simplifies greatly the solution programs which are often performed to solving non - homogeneous equation and second order differential equation on the thermal equilibrium and gradient relationship and the workload of numerical computation at same time

    這類方法大大簡化了人們在分析壓電熱彈性體耦合問題時通常要求解的非齊次微分方程和關于溫度的平衡方程和導熱方程的二階微分方程的繁瑣方法，同時，齊次狀態方程的提出大大減少了數值計算的工作量。
  10. 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 。
  11. 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。
  12. Oscillatory and asymptotic behaviour of unsteady second - order difference equation

    不穩定型二階差分方程解的振動性及漸近性
  13. Oscillation of unstable type first order difference equation with continuous variable

    連續變量不穩定型一階差分方程的振動性
  14. Positive solutions for a class of boundary value problems of fourth order difference equation

    一類四階差分方程邊值問題的正解
  15. An existence theorem of solution to boundary - value problem governed by second - order difference equation

    二階差分方程邊值問題的一個存在定理
  16. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
  17. Application of recursion tree in solving the asymptotic order of recursion equation by using iteration operation

    遞歸樹在用迭代法解遞歸方程漸近階中的應用
  18. Rule twenty - one - if there are many equations of this sort, they should all be reduced to a single one, viz. to the equation whose terms occupy fewer places in the series of magnitudes which are in continued proportion, i. e. the series in which the order of the terms is to be arranged

    如果有同種類的許多等式，就應該化簡到一個等式，也就是說，化簡到在連續比例中量的系列里只有少數項，換言之，在此系列中，項目的秩序被安排好了。
  19. At first, we took the kdv equation and the kdv - burgers equation as examples to point out the fact that it is not necessary to obtain the value of the order of solitary wave solutions by equating the highest nonlinear term and the highest - order partial derivative term in this method. meanwhile, we obtained some exact solitary wave solutions of the kdv - burgers equation

    首先以kdv方程和kdv - burgers方程為例，指出在該方法中，孤立波解的階數通過平衡非線性方程的非線性項和最高階導數項得到是不必要的，同時也得到了kdv - burgers方程的兩組精確解。
  20. Numerical verification of the order of the asymptotic solutions of a nonlinear differential equation

    非線性微分方程漸近解的階的數值驗證
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