order of an equation 中文意思是什麼

order of an equation 解釋
方程式的階
  • 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。
  • an : an1indef. art. 見 a 條。1. 〈方、口〉 ＝ and. 2. 〈古、方〉 ＝ （and） if.
  • 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. In the self - calibration scheme, the thesis emphasizes the accuracy of camera intrinsic and extrinsic parameters. we presents an accurate f method based on corresponding point adjustment. the method adjusts coresponding points according to the fixedness of projective transformed cross ratio, then calculates f matrix accurately through linear and non - linear methods. when computing intrinsic parameter, a matrix, we simplify the step, and stress on the two important parameters of a. the result will be getten through solving kruppa equation based on svd decomposition. in order to compute extrinsic parameters, we use linear method to get initial r and t, then apply non - linear method to accurate them

    提出了基於匹配點調整的f求精方法，先根據攝影交比不見性對手工選擇的匹配點進行調整，再用線性、非線性結合的方法求精f矩陣；在計算內部參數a中，進行了一定的簡化，把重心放在a中重要的兩個參數上，用svd分解法計算kruppa方程；在計算外部參數時，首先用線性法求解r 、 t ，然後再用非線性法迭代求精。
  2. We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution

    先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性
  3. In the lowest order, for the propagation of solitons in an inhomogeneous dusty plasma composed by two kinds of dust grains with different masses, if the interface of two kinds of dust grains in an inhomogenous dusty plasma is discontinuous, the tra nsmision and reflection waves both can be described by the kdv equation

    2在非均勻塵埃等離子體中，對于小的、但有限振幅的長波振動，孤子可用kdv方程（或kdv型方程）來描述，而且電勢孤子的傳播情況在定性上與離子等離子體中電勢孤子的傳播情況一致。
  4. In this paper, river water quality prediction is integrated with water pollution control measures. two parameters, water environmental capacity and pollution index are selected for pollution control measures. the objective is achieved after the development of simulation model using one - dimensional advection dispersion equation. the model algorithm and computer program is an improvement over the existing water quality models, since the model solution involves four point implicit upwind schemes for water quality prediction and pollution control measures at each grid point. model simulation results the assessment of water environmental capacity that yield the acceptable and realistic pollutants concentration in order to maintain water quality objectives. the pollution and overall pollution index of the river is suggested for integrating number of contaminants variables into one index. study provides the mathematical and scientific procedure for water quality management. the new approach is helpful for the water pollution control and to study the impacts of waste effluents on the river system for strategic planning purposes

    本文將水質預測及水污染控制措施有機地結合，選取水環境容量和污染指數作為水污染控制的參數.這樣，一維對流-擴散水質方程的求解除就是實現本研究目的的關鍵.本研究採用的模型在現有的水質模型基礎上有所改進，因為其採用四點隱格式對水質進行預測，推求可接納污染物的環境容量值及為保證水質而限定的污染物濃度值，從而制定相應的水污染控制措施.為整體考慮各種污染物的情況，建議採用河流的污染指數進而推求綜合污染指數.總之，本研究為水質保護提供了科學的計算方法，該法對水污染控制及污水對河道水質的影響是實用有效的
  5. Abstract : in this paper, river water quality prediction is integrated with water pollution control measures. two parameters, water environmental capacity and pollution index are selected for pollution control measures. the objective is achieved after the development of simulation model using one - dimensional advection dispersion equation. the model algorithm and computer program is an improvement over the existing water quality models, since the model solution involves four point implicit upwind schemes for water quality prediction and pollution control measures at each grid point. model simulation results the assessment of water environmental capacity that yield the acceptable and realistic pollutants concentration in order to maintain water quality objectives. the pollution and overall pollution index of the river is suggested for integrating number of contaminants variables into one index. study provides the mathematical and scientific procedure for water quality management. the new approach is helpful for the water pollution control and to study the impacts of waste effluents on the river system for strategic planning purposes

    文摘:本文將水質預測及水污染控制措施有機地結合，選取水環境容量和污染指數作為水污染控制的參數.這樣，一維對流-擴散水質方程的求解除就是實現本研究目的的關鍵.本研究採用的模型在現有的水質模型基礎上有所改進，因為其採用四點隱格式對水質進行預測，推求可接納污染物的環境容量值及為保證水質而限定的污染物濃度值，從而制定相應的水污染控制措施.為整體考慮各種污染物的情況，建議採用河流的污染指數進而推求綜合污染指數.總之，本研究為水質保護提供了科學的計算方法，該法對水污染控制及污水對河道水質的影響是實用有效的
  6. In order to overcome the difficulty mentioned above, this paper provides an improved heat transfer equation and a mended bem for the problems. first of all, the enthalpy and the " virtual temperature " are introduced into the paper to eliminate several mutative thermophysical properties in the heat transfer equation. secondly, the movement of the boundary between the solid and liquid phases in the billet is educed by virtue of the laplace transform

    這些改進包括：引入熱焓和「虛擬溫度」的概念，對非常數的熱物性參數進行整合：充分考慮鑄坯凝固潛熱釋放帶來的影響，利用「溫度回升法」來加以處理；利用拉氏變換和反拉氏變換的原理來對凝固過程中鑄坯內部固液相界面的移動方程進行了推導和求解，在凝固過程中充分考慮鑄坯內部的固液兩相的影響等等。
  7. In order to determine the solution set of the equation, by the means of meet - irreducible element and irredundant finite meet - decomposition, we first obtain the maximal solutions to the simple equation in the case that b has an irredundant finite meet - decomposition, and then consider the relation between the equation and the equation, based on this, we obtain the maximal solutions to the equation in the case that each element of the matrix b has an irredundant finite meet - decomposition and so determine its solution set completely

    為了確定方程的解集，本文利用交既約元與不可縮短的有限交分解等工具，同樣地先求出簡單形式的型矩陣方程的所有極大解，然後討論方程與方程之間的關系，在此基礎上，在b的每個元素均有不可縮短的有限交分解的情況下，求出了方程的所有極大解，從而完全確定了方程的解集
  8. 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 。
  9. In order to satisfy the continuity constraint and ensure the smoothness of pressure field, an optimum way to derive a discrete pressure equation is used

    為較好地滿足連續性條件的基礎上得到光滑的壓力解，對壓力poissom方程離散式採用了一種修正方法。
  10. 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
  11. The apsp produced abroad is made by numerical controlled machine tool, which has noise level of 71db ( a ), the apsp produced in our country is made in the method of exploratory which has noise level of 73db ( a ) and 75db ( a ). in order to analyze the influence of stator curve to noise, the author used tri - coordinate measuring instrument to measured exactly the inside surface of stator and got the straddling point coordinate, and made curve fitting by using matlab as language and studied the fitting effect and then worked out the equation of stator transition curve in return seeking, then comparied this method with the standard style and made the conclusion : the equation of atator transiting curve of apsp made by numerical controlled machine tool is close to theorical 5 power curve standard style, but compared with it, the stator transiting curve of apsp produced in exploratory has a major error. combining the testing results of noise, one can know that the qualily of stator transition curve play an importance to t he noise of the pump

    國外生產的汽車動力轉向泵是用數控機床加工的，其噪聲值為71db （ a ） ，國內生產的汽車動力轉向泵是用靠模方法加工的，其噪聲值分別為73db （ a ）和75db （ a ） ，為了分析定子曲線對泵的噪聲的影響，本人用三坐標測量儀對定子內表面進行精密測量，獲得定子內表面的離散點坐標，以matlab語言為工具對離散點進行曲線擬合，觀察擬合效果，然後，用回歸方法求出了定子過渡曲線的方程，並把該方程與理論方程標準型進行了比較，得出如下結論：用數控機床生產的汽車動力轉向泵的定子過渡曲線方程非常接近理論5次曲線標準型，而用靠模方法加工的汽車動力轉向泵的定子過渡曲線與理論5次曲線標準型相比較，則存在著較大的誤差，結合噪聲測試結果可知，定子過渡曲線的優劣，對泵的噪聲大小有著重要的影響。
  12. An integrable theorem of second order linear non - homogeneous differential equation

    一類二階變系數線性微分方程的積分因子解法
  13. An outstanding meaningful fourth order ordinary differential equation is considered, whose solutions constitute some particular solutions of a great number of partial differential equations which depend on a time and space variables. such as stationary solutions, travelling waves and certain more solutions with complex relation between time and space variables

    這類方程的解構成許多恰含有一個時間與空間變量的偏微分方程的某種特殊解；如與時間無關的定常解及時空間成線性關系的行波解，乃至具有更為復雜的時空間關系的解。
  14. 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
  15. Lastly, we will carry out an iteration method, with the help of the interior regularity theorem of elliptic equation, to obtain high order regularity and the corresponding estimates for solutions of the auxiliary problems without small parameter e

    然後，重復與周期區域情形相同的方法和論證，可以分別在每個區域上得到其弱解的高階正則性以及高階模估計
  16. By means of an integral expression of non - linear dynamics equation an explicit precise integration algorithm with four order accuracy and self - correct and self - starting to solve this equation is given. this method is adapted to solve the non - conservative system with multi - dof and strong nonlinear. the non - linear dynamic equations are divided into some blocks or groups

    給出了求解非線性動力學方程的精細積分表達式，利用插值近似該方程的非線性項，得到一個具有四階精度並且是單步顯式、自起步、預測-校正的lagrange （或hermite ）插值精細積分演算法，適于強非線性、非保守系統。
  17. An oscillation result of higher order linear differential equation

    一類高階線性微分方程解的復振蕩
  18. The at - cut crystal freqency - temprature characteristice is equivalent to an equation of the third order, it display excellent freqency stability over wide temprature range

    At切石英晶體元件的頻率溫度特性曲線是一條三次曲線，在寬溫度?圍內具有相當良好的頻率穩定性。
  19. The second order elliptic partial differential equations are considered in an exterior domain, some new sufficient conditions for oscillation of all solutions of the equation are obtained by the sequence of functions

    利用函數序列方法，得到了保證二階橢圓型微分方程在外區域上一切解振動的新的充分條件
  20. Abstract : the second order elliptic partial differential equations are considered in an exterior domain, some new sufficient conditions for oscillation of all solutions of the equation are obtained by the sequence of functions

    文摘:利用函數序列方法，得到了保證二階橢圓型微分方程在外區域上一切解振動的新的充分條件
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