方程解法 的英文怎麼說

中文拼音 [fāngchéngjiěfǎ]
方程解法 英文
equations system method
  • 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...
  • 解 : 解動詞（解送） send under guard
  • 法 : Ⅰ名詞1 （由國家制定或認可的行為規則的總稱） law 2 （方法; 方式） way; method; mode; means 3 （標...
  • 解法 : method of solving; solving process; [數學] solution
  1. But it was not until the 19th century that mathematicians such as evariste galois, an unhappy french genius, discovered symmetries hidden in the solutions to mathematical equations

    但直到19世紀數學家們才發現隱藏在數學方程解法中的對稱性，其中包括鬱郁寡歡的法國數學天才艾瓦里斯特?伽羅瓦。
  2. Abstract : the magnetic moment of a hydrogen atom is calculated by using the solution of the relativistic wave equations. it is shown that the so called total magnetic moment are produced from the electron orbit motion. these results show that the total angular momentum j is actually the relativistic orbital angular momentum

    文摘:利用氫原子的相對論性波動方程解計算了氫原子的磁矩.結果表明，現行量子理論中所謂的總磁矩實際上都是由電子的軌道運動產生的，由此提出了所謂的總角動量實際上是相對論性軌道角動量的看法
  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. With the development of the network and the multi - processor system, the research, simulation and the impemeni of the system - level fault diagnosis which is the very important means to increase the reliability of the system, are becoming more and more important. on the system - leve1 fault diagnosis, based on the group theory of system - level fault diagnosis that has been put forward by pro f zhang, the paper constructs newly the theory bases, improves on the matrix method, reinforces and consummates group arithmetic of all kinds of test mode, for the first time, analyses and discusses the equation solution of all kinds of models, so al1 the consistent fault patterns ( cfp ) could be found, straightly and high efficiently, even if the sufficient and necessary condition of t - diagnosable is dissatisfied and the complexity of system - level fault diagnosis is greatly decreased, especialy in strong t - diagnosabl6 system. last the simulation system ' s function has been extended and the application hotspot and the development trend have been disscussed

    本人在張大方教授等人提出的基於集團的系統級故障診斷的理論基礎上，重新構建了系統級故障診斷的理論基礎，定義了系統級故障診斷測試模型的三值表示；改進了系統級故障診斷的矩陣方法，重新定義了測試矩陣、鄰接矩陣、結點對、結點對的相連運算、極大準集團和斜加矩陣，由此能直觀、簡便地生成集團和極大獨立點集；補充和完善了各類測試模型的系統級故障診斷的集團演算法，通過定義集團測試邊和絕對故障集，簡化了集團診斷圖，由此能較易地找到所有的相容故障模式，即使不滿足t -可診斷性，大大減少了系統級故障診斷的復雜度，尤其是對強t -可診斷系統；首次分析探討了各類測試模型的方程解決，由此從另一角度能系統地、高效率地求出所有的相容故障模式（ cfp ） ：擴充了系統級故障診斷模擬系統的功能，快速、直觀和隨機地模擬實驗運行環境，進行清晰和正確的診斷，同時提供大量的實驗數據用於理論研究，優化演算法和設計。
  5. 2. nonlinear source term identification problem about a quasilinear parabolic heat equation is investigated. for the given function determined, the existence and the uniqueness of the solution of the state equation are proved and the dependence of the solution of the state equation on the identification parameter is discussed ; then the identifiability is verified ; through choosing suitable basic functions, the above identification problem can be transformed into a constant coefficients identification problem ; and an practical iterative algorithm for solving the identification problem is presented, the feasibility and validity of the algorithm is verified by the numerical experiments

    2 、研究一擬線性拋物型熱傳導方程非線性未知源項的識別問題；對于給定識別函數，論證了狀態方程解的存在惟一性、方程解與識別函數的依賴關系和可識別性；通過選取適當的基函數，把對非線性源項的識別轉化成常系數識別問題；給出了實現非線性源項識別的迭代演算法，通過數值實驗證明了演算法的有效性。
  6. As we know, there exist some defects in solving normal equation system. in order to overcome the shortcomings, the singular - value decomposition method and its applications in direct solving the ill - conditioning observation equation are studied

    最後針對法方程解算方法存在的缺點，主要研究了矩陣的奇異值分解技術在直接解算病態觀測方程中的應用。
  7. In chapter 4, the influences of the earth ' s models on the elastic green ' s function, as well as on the atmospheric loading effects, are discussed using the numerical techniques. the attraction green ' s function is solved out based on the state equations of the ideal gas and the hydrostatic equilibrium equation. the influences of various factors upon the gravity and tilt green ' s functions, as well as upon the gravity and tilt, are considered in detail

    第四章：採用數值計算方法，研究了地球模型對彈性項格林函數及其對大氣負荷響應的影響；利用理想氣體方程和流體靜力學平衡方程解算了吸引項格林函數，討論各種因素對大氣重力和傾斜格林函數及其對重力和傾斜的影響；基於球對稱地球模型，給出了武昌站臺站依賴的大氣重力、傾斜格林函數
  8. The present thesis employs the cone theory, monotone iterative technique, the conical expansion and compression principle, the method of upper and lower solutions, the monch theory of fixed point, and so on, to investigate the existence of solutions of sevral differential equations. the obtained results are either new or intrinsically generalize and improve the previous relevant ones under weaker conditions

    本文利用錐理論、單調迭代技術、錐拉伸壓縮不動點原理、上下解方法、不等式迭代技術、 m （ ? ） nch不動點理論等，研究了幾類微分方程解的情況所得結果或是新的，或是採用新方法在更弱條件下推廣和改進以前的結果
  9. 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。
  10. Then. with the help of some good results of differential equations theory, some sufficient conditions for all solutions of the equations to be oscillatory are obtained. the way is to proof by contradiction and construct sequence

    1 ）的振動性，首先，利用積分變換，給出了幾個引理，將此類差分方程轉化為相應的微分方程或微分不等式，得出了新變量的一些重要性質；然後用反證法和構造序列的方法，充分利用微分方程理論中的一些重要結論，得到此類差分方程解振動的若干充分條件
  11. Firstly, the integral - differential equation described the radiation field evolution is derived, and then the instability of its solution is also investigated analytically. by using the perturbation and iteration method, the threshold detuning and threshold linear growth rate of the unstable solution are analyzed and discussed in detail

    首先，建立了一個描述輻射場演化的積分一微分方程，解析分析了系統解的不穩定性，並採用線性方程解的微擾迭代方法進一步對系統不穩定解出現的失諧量閾值和線性增長率閾值等作了詳細討論。
  12. In chapter two, we prove the existence and multiplicity results of some nonlinear biharmonic equations by using lower scmicontinuity method and minimax method

    在第二章中，通過下半連續方法和極大極小方法，我們證明了一類非線性雙調和方程解的存在性和多解性的結論
  13. The well - posedness of time - delayed forward - backward stochastic differential equations is studied. by the method of continuation, the existence and uniqueness of such equations are proved under some monotonicity conditions

    摘要研究了帶時滯正倒向隨機微分方程的適定性問題。應用連續性方法，在一定單調性條件下證明了帶時滯正倒向隨機微分方程解的存在唯一性。
  14. An integral equation approach and parametric analysis for single pile in layered soil

    層狀地基中單樁性狀的積分方程解法及其參數
  15. The two basis functions are pulse function with point match and rwg function with galerkin method. the results are compared and discussed. in chapter 3, the derivation of local illumination source is reported

    第四章根據第二章的積分方程解法和第三章的激勵源及matlab建立的模型，求解某些結構在局部照射下的電磁散射特性。
  16. It is shown that a system of linear equations is resolved to obtain the rotational parameters by using of seven couple of conic curves in image sequences when the motion of a rigid object is pure rotational. when the motion of a rigid object is pure translation, a system of non - linear equations is resolved using iterative method, or using the method for resolving quartic equation. the translation parameters with a scale factor may be determined and the translation direction can be obtained

    研究結果表明，在純旋轉運動分析中，最少利用圖像序列中7條對應二次曲線，可以線性地求解剛體旋轉運動參數；在純平移運動分析中，只需利用圖像序列中1條對應二次曲線就可以求解剛體相對平移運動參數（即平移方向） ，分別用非線性迭代法和一元四次方程解法求解了剛體相對平移運動參數（即平移方向） 。
  17. The influences of thermal effect of an axis on its design precision were discussed and the temperature distribution of a rotating axis was obtained by the conventional heat transfer equations that needed a complex solving procedure and gave a blurry distribution rule

    摘要考慮了熱對提高軸類件設計精度的影響，並通過傳統導熱微分方程法和一般傳熱學理論對主軸在運動時熱分佈進行了分析，指出了傳統熱微分方程解法復雜，從解析式中難以看出溫度分佈規律，運用傳熱學理論解法簡單明? ，結果易於反映各參數關系，精確度較高，實用性強。
  18. With the development of morden aero - propulsion system, the simulation technology has became one of the most important means in aeroengine design. aeroengine nonlinear mathematical models, as the basis of engine performance simulation, are not convergence favorably in entire flight scope, because of the solution limitations of nonlinear equation and the engine balance equations

    作為數值模擬的基礎與核心，目前廣泛應用的發動機非線性數學模型，由於平衡方程各種迭代解法與模型中非線性方程解法的不足，因而從根本上沒有解決模型在整個包線范圍內的收斂問題，極大地制約了發動機數值模擬技術的發展。
  19. In this thesis, ga is initially applied to aeroengine nonlinear mathematical model, the author designs ga ga act as the base of newton - raphson ( mixed algorithm 1 ) and ga alternating with newton - raphson ( mixed algorithm 2 ) three kinds of aeroengine balance equation solution methods. 8. the theoretical analysis and performance simulation results show that the aeroengine nonlinear mathematical mode not only can maintain the same efficiency with current model, but also can achieve convergence in entire flight scope when balance equation solved in mixed algorithm 2

    理論分析與模擬結果說明，採用遺傳演算法與牛頓-拉夫遜法混合的平衡方程求解方法（混合演算法二） ，既能保持牛頓-拉夫遜法的高計算效率，又具有遺傳演算法全局收斂的優點，在模型計算效率基本不變的情況下，徹底突破了常規的發動機平衡方程與模型中非線性方程解法的局限，實現了模型在整個包線范圍內的收斂。
  20. A method of differential equation using in restoration to deflection curve for solution of displacement of beams

    撓曲線復位的微分方程解法求梁的位移
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