非線性光滑 的英文怎麼說

中文拼音 [fēixiànxìngguānggǔ]
非線性光滑 英文
nonlinear smoothing
  • 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 ...
  • 光 : Ⅰ名詞1 （照耀在物體上、使人能看見物體的一種物質） light; ray 2 （景物） scenery 3 （光彩; 榮譽） ...
  • 滑 : Ⅰ形容詞1 （光滑; 滑溜） slippery; smooth 2 （油滑; 狡詐） cunning; crafty; slippery Ⅱ動詞（貼著物...
  • 非線性 : [數學] [物理學] [電學] nonlinearity; nonlinear
  1. A smoothing approximation algorithm for nonlinear complementar ity problems

    求解非線性互補問題的一個光滑逼近演算法
  2. In chapter 3, 1 consider the nonlinear parabolic equation : where a bounded domain with smooth boundary in ; v is outward normal vector on is a positive function satisfying some compatibility conditions focus my attention on the case of m > 1, to obtain the blow - up conditions of the positive solution using the method of subsolution and supersolution

    運用緊致性原理及moser迭代得到了解的整體存在性和解的熄滅性質。第三章討論了如下形式的非線性拋物方程：其中m ， ， 0 ， r ~ + ，為r ~ n （ n 1 ）中的有界域，具有適當光滑的邊界（ ? ） ； v是（
  3. The second section : under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of camassa - holm equations with dissipative. by using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth s olution, global attractor in h ~ ( 2 ), t ime p eriodic s olution or almost - periodic solution and the global exponential stability are proved

    第二部分：在非線性控制邊界條件之下，對于帶耗散項的camassa ? holm方程的初邊值問題，用壓縮映射不動點原理及先驗估計方法，證明了整體光滑解的存在性、整體解的指數穩定性、 h ~ 2空間中整體吸引子的存在性以及時間周期解和殆時間周期解的存在性。
  4. Theory of portfolio optimization is an important part of the modern ? nance in - vestment theories, which uses mathematical facilities such as convex analysis, random analysis, nonsmooth analysis, ( nonlinear ) programming etc, combined with the mean - variance method the basic method of modern portfolio theory. by setting up mathe - matical models, discussed the investment rules of ? nance market and o ? ered theoretic guide for investors

    投資組合優化理論是現代金融投資理論的重要組成部分，它運用凸分析、隨機分析、非光滑優化、 （非）線性規劃等數學工具，並與現代投資組合理論的基本方法均值方差方法相結合，通過建立數學模型討論金融市場投資規律並為個人或機構投資者提供理論指導。
  5. By successful solution of non - linear magnetic fields and revision of the program, we can reach following conclusions : in the computation of nonlinear magnetic fields, if iteration method is used, under - relaxation is necessary when amending the permeability distribution in soft magnetic materials ; and when < wp = 5 > calculating the equivalent current density in permanent magnets, under - relaxation is not a necessity ; when searching for permeability values by interpolation method on the demagnetization curve of soft magnetic materials, if a fixed saturation point is set, around this point an abrupt change of permeability values will be obtained ; this sudden change may cause a little problem in the smoothness of magnetic field distribution ; because the magnetic circuits of microwave tubes are too complicated, in the author ' s view, to describe the working state of a magnet system, the working points of magnets can not do it properly but average energy production of magnets will serve ; as to indicate the quality of a magnet system design for microwave tubes, the efficiency of magnetic energy utilization will be a very good criterion

    由此得出結論，在非線性磁場計算中：採用迭代法的情況下，在各迭代循環之間進行磁導率修正時，一個欠鬆弛迭代過程是必需的；對永磁體中的等效電流修正時可以不作欠鬆弛迭代；在純鐵的磁化曲線上指定某一個固定的磁感應強度為磁飽和值，會使得插值求出的磁導率在該磁飽和值附近有一突變，這一突變對計算結果中磁場分佈變化的光滑性稍有影響。在微波管磁系統設計中，由於微波管磁路比較復雜，作者認為磁體的工作點並不能很好地反映磁體的工作狀態，而採用平均磁能積為衡量磁體工作狀態的標準更加符合微波管磁系統的實際情況；要表示磁系統設計好壞的程度，則用磁能利用的效率為標準更好。
  6. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  7. Shannon entropy function is used to smoothing it. a non - interior predictor - corrector continuation method is built for a class of mixed complementarity problems

    基於非線性互補問題的一個等價不動點格式，第五章分別用shannon熵函數和kullback熵函數光滑化max函數。
  8. By using the theory of planar dynamics system to a class of coupling nonlinear equations, the existence of uncountably infinite many smooth and non - smooth periodic wave solutions and solitary wave solutions is obtained. under different parametric conditions, various sufficient conditions to gurantee the existence of the above solutions are given

    研究了一類廣義耦合非線性方程的行波解分支，得到了該方程的無窮多光滑與非光滑周期波的存在性，並在各種不同的參數條件下，給出了保證該方程上述解以及孤波解存在的充要條件。
  9. Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. finally, we will employ the minkowski ' s support function to construct a new kind of non - circular smooth constant breadth curves in order to attack some open problems on the constant width curves ( for example, whether there is a non - circular polynomial curve of constant width, etc. ) in the second part, we will first follow the ideas of gage - hamilton [ 28 ], gage [ 26 ] and the author ' s dissertation [ 47 ] to present a perimeter - preserving closed convex curve flow in the plane, which is from physical phenomena

    其次，對雙曲平面上的曲線引入平均測地曲率的概念，並討論雙曲平面上凸曲線的嵌入性與它的平均測地曲率之間的關系，其目的是為了將雙曲平面上曲線的性質與歐氏平面中曲線的性質作一些對比；最後，我們利用minkowski支撐函數構造了一類新的非圓的光滑常寬曲線，其目的是想回答有關常寬曲線的一些未解決問題（如是否存在非圓的多項式常寬曲線
  10. Then nonmonotone trust region algorithm is given and global convergence is proved. thirdly, based on complementary conditions and ncp theory, the minimax problem is transformed into nonsmooth equation. we introduce an numerical algorithm relating with splitting function method

    基於互補條件和ncp函數理論，將minimax問題轉化為一非光滑非線性方程組，利用分裂函數的思想，構造了一種新的演算法，並給出數值試驗和收斂性證明。
  11. In chapter 1, the thesis studys the following cauthy problem to hyperbolic system with nonlinear relaxation term we prove that for the initial value with bounded c1 norm, there exists a unique global smooth solution for the cauthy problem ( 1 ), ( 2 ) ; in chapter 2, the thesis considers the following hyperbolic system with relaxation term and the sclar conservaton law equation when e is fixed, for a certain class of initial data, in the large time station, the thesis gets a determined lp ( p > 2 ) decay rate between the golbal smooth solutions of system ( 3 ) and the rarefaction waves solution of equation ( 4 )

    在第一章中，研究如下帶非線性鬆弛項的雙曲組的柯西問題證明了，對c ~ 1模有界的初值，柯西問題（ 1 ） ， （ 2 ）存在唯一的整體光滑解。在第二章中，考慮如下帶鬆弛項的雙曲組和單守恆律方程u _ t + f （ u ） _ x 0 ， （ x ， t ） r r ~ + 。 （ 4 ）當固定時，對一類初值，得到方程組（ 3 ）柯西問題的整體光滑解與方程（ 4 ）的稀疏波解間在大時間狀態下的l ~ p （ p 2 ）衰減率。
  12. In chapter 4, we discuss the asymptotic behavior of the weak solution for the initial boundary value problem of the following love equation where fi is a bounded region in rn with smooth boundary

    在第四章中，我們借用位勢井的思想討論非線性發展方程的初邊值問題整體弱解的漸近性，其中（ ? ） r ~ n並具有充分光滑邊界， 0
  13. On the other hand, with traditional iterations and the conjugate gradient ( cg ) as smoothers, we can show the optimal convergence rate of the cascadic method in energy norm for 1 - d and 2 - d cases. when the mesh level is arbitrary, we use a duality argument and obtain the quasi - optimality of the algorithm only for 2 - d problems

    另一方面，採用傳統迭代子和共軛梯度法作為光滑子，我們證明了瀑布型多重網格法對一、二維非線性橢圓邊值問題，在能量范數下，均可獲得最優收斂階。
  14. In the third chapter we discuss lc1 constrained optimization problem. to solve it, we turn it into nonsmooth equations, utilizing inexact theory we give an inexact generalized newton ' s method and under some mild conditions we prove that it is global convergence and superlinear convergence

    首先將其約束問題的求解轉化為非光滑方程組的求解，然後利用不完全求解理論給出了一個非精確的廣義牛頓演算法，在一定的條件下證明了演算法的全局收斂性和局部超線性收斂性並給出了lc ~ 1非線性約束問題的收斂性條件。
  15. By theoretical analysis and numerical experimentation, the genetic method for large scaling multi - apex and no smooth mixed integer nonlinear programming can get a good global solution, and it is better than other algorithms used to resolve in the feasibility, stabilization and convergent speed of the solution

    理論分析及數值試驗表明：該演算法對大范圍、多峰、非光滑混合整數規劃問題有較好的全局求解能力，在解的精度、穩定性和收斂速度等方面優於一般的求解混合整數非線性規劃的演算法。
  16. This paper is devoted to nonlinear approximation, namely, m - term approximtion of anisotropic smooth periodic functions. nonlinear approximation is the important part of approximation the - ory. it means that the approximants do not come from linear spaces but rather from nonlinear manifolds. the advantages of nonlinear approximation show that one can achieve a given accuracy of approximation while assuming less smoothness on the function in the nonlinear case than is necessary in the corresponding linear approximation. nonlinear approximation is used significantly in many applications, such as image processing, noise removal and the solution of operation equations and so on

    非線性逼近與線性逼近最大的區別在於所用的逼近子空間不是固定的，而是依賴于被逼近的函數其主要優點是對光滑度較低的函數仍可以得到較高的估計階。隨著小波和樣條的廣泛使用非線性（ m項）逼近成為較熱門的話題，它在圖象處理，聲的傳播，運算元方程的求解等方面都有很多應用。
  17. In early stage, some scholars attempted to solve it by means of transforming it into a standard smooth nonlinear problem ( ssnp for short )

    早期，有些學者試圖將此類問題轉化為標準光滑的非線性規劃問題（簡記為ssnp ）來求解，但j
  18. In this thesis, we discuss mathematical programs with nonlinear complementarity constraints. because of the bad property of the equilibrium constraints, it is very difficult to study and solve it by the well - developed theory and methods for a standard smoothing nonlinear problems ( ssnp )

    本學位論文討論的是帶非線性互補約束規劃問題，由於這類問題的約束條件的性質很差，直接使用求解標準的光滑非線性約束優化的方法和技術（如sqp ）來求解，存在著一定的困難
  19. Based on g - w contact model, two rough surfaces in contact were simplified to a smooth one and a rough one which has regular rectangular asperities, and a three - dimensional transient thermal and stress coupled fem model was established using thermal - structure sequential coupling. the course of the sliding with friction was simulated using the nonlinear multiphysics field fem, meanwhile considering thermal - elastic problems of the two bodies, to calculate and analyze the temperature, contact pressure and stress of the sliding contact surfaces with frictional heating

    基於g - w接觸模型，將兩個粗糙表面簡化為一個有規則排列的長方體微凸體的粗糙表面與一光滑表面，利用熱結構順序耦合建立三維瞬態有限元計算模型，考慮兩個物體摩擦接觸的熱彈性問題，採用非線性有限元多物理場來實現，對粗糙表面接觸模型的瞬時摩擦溫度場、壓力場和應力場進行了計算分析。
  20. In this paper, we consider the global smooth solutions and long time be - haviors for some nonlinear evolution equations, such as kdv equation, bbm equation, gbbm equation, kdv - burgers equation, coupled generalized nonlin - ear wave equation. by using a priori estimates, the existence of global smooth solution, the existence of global attractors and its fractal dimensions for this sys - tems are obtained. this paper is organized in six chapters

    本文考察了kdv 、 bbm 、 gbbm 、 kdv - burgers 、廣義耦合的非線性波動方程組等非線性發展方程整體光滑解及其漸近行為，利用先驗估計，對一類廣義kdv方程組及耦合的波動方程組的周期初值問題、 cauchy問題、初邊值問題進行了討論，研究了整體吸引子的存在性及其分形維數有限性估計。
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