線性方程解 的英文怎麼說

中文拼音 [xiànxìngfāngchéngjiě]
線性方程解 英文
linear equation solution
  • 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...
  • 解 : 解動詞（解送） send under guard
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  1. The complex nonlinear pursuit - evasion model of two spacecraft in near - earth coplanar orbit is simplified to linear model, the circular region the radius of which is equal to capture radius is defined as target set, capture is achieved when the evader come into the target set and the game is over ; the boundary of useable part ( bup ) is determined, and the analytical form solution of the linear equations is obtained by backward integration of the state variables from the bup, the linear barrier of the pursuit - evasion model and the optimum thrust of the both sides are thus obtained

    本文將近地共面軌道內運動的兩飛行器非線性追逃模型簡化為線性模型，以捕獲半徑的圓域定為目標集，確定目標集邊界上的可用部分，並以此為各狀態變量的起點，對時間進行倒向積分，求得線性方程組的解析解，從而確定了該追逃模型的線性界柵，以及界柵上對策雙方的最優推力，即求得了滿足最優策略時相對運動的軌跡和推力。
  2. 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
  3. Existence of solutions for quasilinear elliptic equations

    擬線性方程解的存在性
  4. Thirdly, while analyzing composite materials shell structure, the structural pre - flection nonlinear equation and engenfunction for resolving flection load are separately simplified in the axis symmetry shell ' s flection finite element analysis

    本文在分析復合材料殼體結構時，軸對稱殼體的屈曲有限元分析對結構前屈曲非線性方程及屈曲載荷求解中的特徵方程分別作了簡化。
  5. The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. some results are improved

    摘要本文運用整體反函數理論證明了一類半線性方程邊值問題周期解的存在唯一性，推廣和改進了已有的一些結果。
  6. With the adding of appropriate conditions, we present in this note a sharper range of inverse function. this is of important to nonlinear analysis and numerical feasibility appraisal

    本文通過附加適當的條件，刻劃了反函數的存在域大小，這種存在域對非線性分析中研究解的存在性、解的估計及非線性方程組求解的數值可行性都有一定的意義
  7. By reformulating the kkt system as a constrained equation, the algorithm generates the search direction by solving a linear equation at each iteration

    通過將問題的kkt系統轉化成一個約束方程，演算法在每步迭代只需解一個線性方程組即可得到搜索方向。
  8. 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。
  9. An asynchronous parallel algorithm about the secant method for solving nonlinear systems of equations

    一個用割線法求解非線性方程組的異步并行演算法
  10. In chapter two, by adopting a semiclassical model, we get an analytic expression of potential distribution in a one - dimensional mesoscopic tunnel junction array by solving a set of linear equations

    第二章採用半經典模型，通過求解一個線性方程組得到了一維介觀鏈中電勢分佈的解析表達式。
  11. Such steps mean the simultaneous solution of either two linear equations.

    這樣的步驟意味著同時求解兩個線性方程。
  12. Solving simultaneous equation

    解一元線性方程
  13. Some properties of the solutions to a quasilinear problem

    一個擬線性方程解的性質英
  14. Abstract : the purpose of this paper is to investigate the decay behavior and dynamics of a quasilinear partial differential equations with nonlocal boundary conditions which is motivated by model problems, arising from quasi - state thermoelasticity, etc. by constructing an upper solution of the problem, a decay estimate for the solution is obtained

    文摘:本文討論一類源於擬靜態熱彈性力學和控制理論等領域的邊值問題，通過構造適當的上下解得到擬線性方程解的衰減估計
  15. 2. by doing precise computation of spectral radius of linear operator of linear equation and by using measure of noncompactness and leray - schauder type fixed point theorem of condensing mapping, the existence and the uniqueness of the solutions are obtained, which extend the results recently achieved in this field

    二、通過線性方程解運算元譜半徑的論證，在緊型條件下利用凝聚映射的leray - schauder不動點定理及冪壓縮映射不動點定理，獲得了解的存在性與唯一性結果，這些結果推廣了近期這方面已有的一些結果。
  16. 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。
  17. A comparison principle for nonlinear equations

    非線性方程解的比較原理
  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. Under the same lipschitz condition as for newton ' s method, we give a result on the existence of a unique solution for the nonlinear equation by using a technique based on a new system of recurrence relations

    在與kantorovich條件相同的lipschitz條件下，我們通過基於新的遞歸關系的技巧給出非線性方程解的存在唯一性定理。下面介紹本文的主要內容。
  20. 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。
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