非線性方程式 的英文怎麼說

中文拼音 [fēixiànxìngfāngchéngshì]
非線性方程式 英文
nonlinear equation
  • 非 : Ⅰ名詞1 （錯誤） mistake; wrong; errors 2 （指非洲） short for africa 3 （姓氏） a surname Ⅱ動詞1 ...
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 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...
  • 非線性 : [數學] [物理學] [電學] nonlinearity; nonlinear
  • 方程式 : capeta
  1. The relation of radius of curvature and error as well as formulas of increasing parameters on condition of constant error are diverted. the equation of the line on the center of approximate circular arc is obtained ， and it can avoids the trouble that numerical solution owns possibility of no convergence and simplifies node calculation of non - circular curve

    導出了曲率半徑與逼近誤差之間的關系和等誤差條件下的參數遞推公式，建立了通過逼近圓弧圓心的直線方程和圓心坐標計算公式.按這種方法用圓弧逼近平面參數曲線，不需要求解非線性方程組，避免了計算可能不收斂的麻煩，簡化了非圓曲線的節點計算過程
  2. Improved tanh - function method and the new exact solutions for the general variable coefficient kdv equation and mkdv equation

    非定常可壓等熵流非線性方程顯式解析解的推導
  3. In chapter 3, we give an equivalent form of semi - infinite programming, and a locally convergent ssle method is proposed for sip. we only need solve a linear system equations and a subproblem with a parameter per step, also a modified algorithm which saves cost of computations is given, at the end of the paper, we give a proof of the convergence for the algorithms

    第三章通過適當的變形，得到半無限規劃問題的一個等價形式，並給出一個局部收斂的序列線性方程組演算法，這個演算法在每一步，只需求解一個線性方程組和一個帶參數的非線性子問題，證明了演算法的收斂性，同時，給出了一個修正演算法，與前面演算法相比較，修正演算法節約一定的計算量，同樣具有較好的收斂性。
  4. Finally a set of equations with initiate values for boundary value problem is established where the velocity potential and its normal derivative are unknowns. because the model includes the effects of both the time and space to the velocity potential of free surface, it can be applied to strong nonlinear wave. as examples, solitary wave is computed in the numerical flume

    推導給出計算域內以所有節點波勢函數和波面位置高度的時間增量為未知量的線性方程組，並同時考慮時間因素和空間變位對波面勢函數的影響，在預設的計算精度下，通過時步內的循環迭代逐一確定每個時步上的波面運動位置，從而建立了一種可適于求解強非線性波浪變形計算的數值模式。
  5. Spline curves defined in the space constructed by polynomial and hyperbolic functions are studied in this paper. the main research contents and achievements are as follow : firstly, we generate the cardinal extended complete chebychevian ( ect ) - systems on the space constructed by polynomial and hyperbolic functions, then introduce the algebraic - hyperbolic b - spline space and identify the dimension law and zero properties. the existence of a basis of splines with minimal compact supports is demonstrated, and functions named non - uniform algebraic - hyperbolic b - splines are obtained by solving certain linear equations with a block matrix

    本文主要研究定義在多項式和雙曲函數構成的空間上的樣條曲線，其內容和完成結果如下:一、生成由多項式和雙曲函數構成的空間上的一組典範式ect （ extendedcompletechebychevian ）組及其對偶， ，證明非均勻代數雙曲b樣條空間的維數定理和零點定理，直接通過解塊矩陣線性方程組得到具有最小緊支撐的非均勻代數雙曲b樣條函數，進而構造非均勻代數雙曲b樣條曲線，還具體給出低階的表示
  6. We also derive the expression of the signal obtained from random position by the magnetic field sensor. then we construct five - dimension nonlinear equation group for the signal obtained by the magnetic field sensor and solve them, so that we can realize 3d localizing and navigation for endoscope probe

    我們根據電磁場理論推導出位於正四面體六條棱上的差分磁偶極子在空間任意點的場強表達式及探頭感應磁場信號的原理，然後建立起五元非線性方程組進行定位求解。
  7. To assure astringency, some technologies have been used such as iterative penality function methods, assemblage mass matrix, reduced integration algoritlun, newton iteration method with parameters for non - linear equation set, introducing relax factors and double steps solution and so on, and an algorithin for solving the nonlinear equation set of flow field by fem has been presented

    基於有限元法建立了流場求解列式，為保證其收斂性，採用了迭代罰函數法，集中質量矩陣，縮減積分計算，帶參數的newton迭代求解，引入松馳因子及雙層解法等技術，提出了一套適合流場有限元方程計算的非線性方程求解方法。
  8. Three circumstances on the geometric non - linear analysis are considered : the sag phenomenon of cables the nonlinear behavior of bending members and the geometry change due to large displacement. the non - linear behavior of cables is verified by introduced the ernst cable modulus of elasticity and cr formation is applied to analyze the non - linear of beams. an incremental - iterative method based on the newton - raphson method is adopted here to solve the non - behavior equations

    幾何非線性分析主要考慮三個方面：索的垂度效應、樑柱效應和結構大位移，其中：索的非線性分析採用ernst彈性模量對索材料的彈性模量進行修正，計及索的垂度效應的方法；梁單元的非線性分析採用cr列式法，計算中採用基於newton - raphson法的增量迭代方法求解非線性方程組。
  9. Applied the precise integration method to solve stiff equations and nonlinear equations, and improved the method from explicit and implicit aspects. it found that the exact solution of some differential equations may be obtained, and always stable absolutely

    將之應用於剛性方程及非線性方程的求解中，並對非線性方程的求解從顯式和隱式兩個方面給出了改進措施，得出：使用精細積分法可以給出某些微分方程的精確解，且絕對穩定。
  10. This paper pointed out and demonstrated the mistake and one - sidedness of huang jia - ying ' s and wang hua - yi ' s theories about gain solution between non - input nodes and other arbitrary nodes and put forward general methods of solving the problem by using linear equation system and mason ' s gain formula according to the equivalence relation of topography and linear equation system

    摘要指出了黃家英和王劃一兩位先生在討論非輸入結點與任意結點間增益時存在著的錯誤性、片面性；並利用拓撲圖與線性方程組的等價關系，得出運用線形方程組求解的一般性方法，同時對兩位先生出現的問題作了證明；最後又給出了用梅遜公式求解的一般性方法。
  11. One is the change of the operating environment and other unmeasurable disturbances. the other is that some simplifications such as model reduction and linear approximations are made during modeling due to the limitation of theory and technology. the difference is usually described as the uncertainties in control systems

    在實際工業過程式控制制中，一方面因為外部工作環境變化和各種不可測干擾的影響，另一方面因為受理論和技術的限制，在建模過程中經常要做一些簡化處理，例如高階系統的降階處理、非線性方程的線性化等，這些原因使得實際系統與用以分析與綜合的數學模型之間存在著一定的差別，在研究中一般將這種「差別」敘述為系統的不確定性。
  12. Finally, an algorithm for nonlinear multiobjective programming with linear equality constraints is offered. at first, multiobjective programming is transformed into a single - objective programming by using linear qualitied method ; and then, a single - objective programming with equality constraints is transformed into a series of linear equation systems, an algorithm is obtained by applying the dimension - descending algorithm with equality constraints

    最後，獲得了具有線性等式約束的非線性多目標規劃問題的一種新演算法，首先利用線性加權和法將線性等式約束的非線性多目標規劃問題轉化為單目標規劃問題，再將其轉化為求解一系列線性方程組，從而用降維演算法獲得了該問題的一個演算法。
  13. A corresponding nonlinear finite element program in fortran is presented and a new stability analysis method about complex slope is proposed, using the newton - raphson method to solve the nonlinear equations

    根據原理推導出了穩定的計算公式，建立了非線性分析的實用方法，並採用牛頓?拉斐遜方法對本文所建立的非線性方程組進行求解。
  14. Chapter 1, making use of the technique of pivoting operation, the technique of sequential systems of linear equations of studying constrained optimization problems and the idea of strongly subfeasible directions method and, several new algorithms for systems of nonlinear inequalities are presented

    第一章，藉助于轉軸運算技術，序列線性方程組技術以及強次可行方向法思想，建立了非線性不等式組的序列線性方程組演算法，演算法的搜索方向由有唯一解的線性方程組的解及其校正產生。
  15. This paper explorates the method of nonlinear approximate equation root of " secant line rule " in theory, and disusses two vertexes of secant line rule and one vertex of secant line rule with two kinds of different thought methods and in order to clear some suspicions of learners, which is used as a reference

    現對「割線法」求解非線性方程近似根的方法，從理論上進行了探討，並用兩種不同的思維方式雙點割線法和單點割線法進行討論，來澄清學習者的一些疑惑，以供參考。
  16. In this paper we reformulate gcp a sasystem of nonlinear equations, and the gcp is reformulated as unconstrained optimization problem, as for the optimization problem, the damped gauss - newton method algorithm of two kinds of steps is employed for obtaining its solution, and the global convergence analysis are given in this thesis

    摘要本文將廣義互補問題轉化為一個非線性方程組問題，然後建立了gcp問題的無約束優化問題的轉化形式，對該優化問題，用兩種步長下的阻尼高斯牛頓演算法來求解，並給出了兩種情況下演算法的全局收斂性。
  17. In the finite element method analysis, the constitutional relationships of steel and three - dimension compressed concrete were conducted by using increment plastic theory. in the paper a serious of joint models were analyzed by using the program ansys and the mathematical formulas for determination of load - carrying capacity of shearing and bending in the joint region were also given. at last the influence of many parameters to the load - carrying capacity in the joint region was analyzed and some suggestions were given for the design in the practical projects

    在有限元分析中，用增量塑性理論推導出鋼材以及三維受壓混凝土的本構關系，重點是三維受壓混凝土的本構關系，建立了模型的單元剛度矩陣，給出了程序中非線性方程的求解方法，並用ansys軟體計算了一系列節點模型，得出了節點域的抗剪、抗彎承載力及各參數對節點域承載力的影響情況，並用試驗結果和計算公式驗證了有限元計算結果。
  18. Four diagnosis models are described as boolean equations, and some related problems are discussed based on boolean equations such as optimal diagnosis, all consistent fault patterns, absolute fault - free and faulty machines etc. next the four models are described as linear equations and then matlab can be used in equation diagnosis

    對基於非齊次線性方程組的診斷進行了進一步的討論，對所有四種診斷模型均表示為非齊次線性方程組的形式，將matlab用於方程的診斷；並對已有的幾種不同類型的方程在診斷中的應用進行了比較。
  19. The formula for mach number has been optimized with least - squres solution, thus the precision of a polynomial of power of 5 is better than that of 9. 2. after the solving of angle of attack and angle of sideslip, the theory of general inverse of matrix is used to simplify the nonlinear equations and to calculate the total pressure and the modified dynamic pressure ratio. these two parameters together with the angle of attack and angle of sideslip contain enough information to work out the dynamic pressure and static pressure

    其中包括: 1 .應用最小二乘法，對馬赫數的泰勒求解公式進行優化，優化后的求解公式採用5次多項式即可在精度上優于原有的9次多項式，可以提高運算速度; 2 .提出應用廣義逆矩陣簡化非線性方程組:在已經求解出迎角與側滑角的前提下，直接從原始的壓力向量中提取出總壓，並且提出了動壓修正比的概念。
  20. A concurrent simulation interface for full engine is defined, and then server and client programs are developed through co - coding the skeleton and stub which come from compiling predefined idl file, according to resolving the nonlinear equations group of concurrent distributed model

    定義了航空發動機整機並發模擬介面，根據求解穩態非線性方程組的並發分散式模型，通過與介面生成的存根和框架聯合開發分別建立航空發動機分散式模擬系統的服務和客戶程序，利用mfc開發了人機交互界面。
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