非線性對偶性 的英文怎麼說

中文拼音 [fēixiànxìngduìǒuxìng]
非線性對偶性 英文
nonlinear duality
  • 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 ...
  • 對 : Ⅰ動詞1 （回答） answer; reply 2 （對待; 對付） treat; cope with; counter 3 （朝; 向; 面對） be tr...
  • 非線性 : [數學] [物理學] [電學] nonlinearity; nonlinear
  1. It is proven that these modified dual algorithms still have the same convergence results as those of the conceptional dual algorithms in chapter 2 and chapter 3. secondly, a dual algorithm is constructed for general constrained nonlinear programming problems and the local convergence theorem is established accordingly. the condition number of modified lagrange function ' s hessian is estimated, which also depends on the penalty parameter

    證明這些修正的對偶演算法仍具有同前兩章的概念性對偶演算法相同的收斂性結果，我們還進一步構造了一般約束非線性規劃問題的對偶演算法，建立了相應的局部收斂理論，最後估計了修正lagrange函數的hesse陣的條件數，它同樣依賴于罰參數。
  2. We select ni / cr alloy resistor as element together with ceramic embedding hearth ; select small flat - and - disc heat - even hubby ceramic sample holder, select ni / cr & ni / si thermoelectric couple ( type k ) as thermoscope with threads 0. 5 mm in diameter which is installed in the middle of the holders symmetrically ; select aluminum silicate fire - retardant fiber as materials for heat preservation ; design some hardware, for example temperature controller & transporter, signal amplifier etc ; design controlling curve to heat stove ; and introduce the method of least squares nonlinear regression and subsection function to deal with data. in order to obtain the reasonable operation conditions and operation curve, we have also done many theory analysis and experiment discussions

    通過理論和試驗探討，選用鎳鉻合金電阻絲作為加熱元件，配以陶瓷質埋入式爐膛；選用陶瓷質小尺寸扁平?圓盤均熱塊體型樣品支持器；選用0 . 5mm絲徑鎳鉻?鎳硅熱電偶（ k ）作為測溫元件；熱電偶對稱安置在樣品支持器容器的中部；選用硅酸鋁耐火纖維作保溫材料；合理選用和設計了溫度控制器、溫度變送器、信號放大電路等硬體；採用升溫曲線來控制爐膛供熱過程；採用最小二乘法非線性回歸與分段函數相結合的曲線模擬方法，進行圖形處理。
  3. Normally, we try to get the dual form of mathematical programming to change primary programming, which is difficult to be solved into its dual programming, which is easily to be solved. after we had got the dual form of two programming, we found their form were very simply because they had only nonnegative and linear constraints

    通常，我們求出規劃問題的對偶形式是希望將不易求解的原問題轉化為易於求解的對偶問題，在分別得到這兩類問題的對偶形式后，發現其形式簡單，只帶有非負約束和線性約束。
  4. In this thesis, the optimality sufficiency conditions and duality theory are discussed in multiobjective nonlinear programming involving ( f, a, p, d ) - convexity and generalized ( f, a, p, d ) - convexity. at that time, an algorithm is discussed for nonlinear multiobjective problem

    本文主要討論了（ f ， ， ， d ） -凸及廣義（ f ， ， ， d ） -凸條件下非線性多目標規劃問題的最優性充分條件和對偶理論，同時，也探討了求解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。
  5. - the trace representation and the 2 - adic representation for the dual of the quaternary goethals code are given, and its binary image is proved to be the formal dual of the binary goethals code. - the generalized macwilliams identities are given for the support weight distribution of a quaternary linear code with type 4k and that of its dual code

    給出了四元goethals碼的對偶碼的跡表示及2 - adic表示，並證明了它在gray映射下的二元像是二元goethals碼的形式對偶碼；從而可以將對非線性碼二元goethals碼及其形式對偶碼的研究轉化為對四元線性碼的研究； 3
  6. The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p - polynomials, as well as the permutation theory over finite field : the new definition of chrestenson linear spectrum is given and the relation between the new chrestenson linear spectrum and the chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field ; the distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field gf ( 2 ) and prime field fp ; the relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed ; using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized bent functions over its prime field ; the existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p - polynomials over finite field

    重新定義了有限域上邏輯函數的chrestenson線性譜，考察了新定義的chrestenson線性譜和原來的chrestenson循環譜的關系，並利用一組對偶基給出了有限域上邏輯函數的反演公式；給出了有限域上隨機變量聯合分佈的分解式，並利用隨機變量聯合分佈的分解式對有限域上邏輯函數的密碼性質進行了研究；給出了有限域上邏輯函數與相應素域上向量邏輯函數的關系，探討了它們之間密碼性質的聯系，如平衡性，相關免疫性，擴散性，線性結構以及非線性度等；討論了有限域上邏輯函數各類線性結構之間的關系，並給出了任意點都是線性結構的邏輯函數的全部構造，由此引出了有限域上的「泛仿射函數」的概念；考察了有限域上邏輯函數的退化性與線性結構的關系、退化性與chrestenson譜支集的關系；給出了有限域邏輯函數非線性度的定義，利用有限域上邏輯函數的非線性度與相應素域上向量邏輯函數非線性度的關系，考察了有限域上邏輯函數的非線性度與線性結構的關系；利用有限域上邏輯函數與相信息工程大學博士學位論文應素域上向量邏輯函數的關系，揭示了有限域上的廣義bent函數與相應素域上的廣義bent函數的關系，以及有限域上的完全非線性函數與相應素域上向量廣義bent函數之間的關系;給出了任意有限域上任意。
  7. 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
  8. In addition, the breakdown and the degeneration of pcss " s are serious problems in the applications. in this dissertation the mode of luminous charge domain is perfected ulteriorly by deeply studying the dynamics characteristic of high - field domain of the trans - electron device with experiment stability of nonlinear pcss

    本文在通過對轉移電子器件偶極疇的動力學特徵作了深入分析的基礎上，結合非線性pcss ' s的穩定性實驗，對非線性pcss ' s的光激發電荷疇理論模型作了進一步的完善。
  9. The surface panel method has been applied to predict the hydrodynamic performance of highly skewed propeller. the surface of propeller and its trailing vortex are discreted by a number of small hyperboloidal quadrilateral panels with constant source and doublet distribution. for highly skewed propeller, the conventional method generating grid oriented along constant radii will result in a high aspect ratio and a high skewness and a twist panel near the propeller tip on blade surface, which result easily in incorrect calculation results of velovity on blade surface, even in iteration divergence and calculation failure. a “ non - conventional grid ” is developed to acoid these problems. this grid can effectively solve the problem of the calculation and convergence for highly skewed propeller. the non - linear kutta condition of equal pressure on upper and lower at the trailing edge is executed by the iterative procedure. by sample calculating, the obtained results are satisfied the experimental data

    採用面元法預報大側斜螺旋槳水動力性能，螺旋槳表面及尾渦面離散為四邊形雙曲面元，每個面元上布置等強度源匯和偶極子分佈.對于大側斜螺旋槳而言，槳葉表面採用常規的等半徑網格劃分方法在近葉梢處將導致大展弦比、大側斜和扭曲面元，這容易使槳葉表面速度的計算結果不正確，甚至會導致迭代過程發散及計算失敗.文中建立了一種「非常規網格」劃分方法，能有效地解決大側斜螺旋槳的計算和收斂問題.槳葉隨邊處通過迭代實現非線性等壓庫塔條件
  10. In this paper a numerical method for equations of transport and biodegradation in the fractured media is discussed. because the equations consist of terms related to advection, diffusion, biochemical as well as the term of exchange betwen the fracture and the porous media, it is very difficult to find their solution. in order to find more efficient method for solving these equations, several numerical methods for the equations without biochemical terms are discussed first. the numerical results show that the cubic spline method can be used to solve advection flow dominated problem which often occurred in the fractured media. then, the equation with both advection - diffusion term and biochemical term are discussed. the splitting - operator is used to decouple the advection and diffusion terms with biochemical term in the equations. the way to determine the smaller time step for solving fast biochemical terms is introduced through comparing the order of characteristic time of biochemical term with that advection ( diffusion ) term. numerical simulation results show that good agreement between analytical solution and experiment result is attained

    本文討論了含裂隙介質地下水污染物輸運與生物降解非線性方程組數值求解方法.方程含有對流項、擴散項、生長、死亡、吸附、解吸、趨化和孔隙與裂隙介質界面間的交換項的非線性偶合，使演算法十分困難.本文討論了無生化過程時的幾種求解方法，數值結果表明：用三次迎風插值法對常見的對流項占優勢，且場變量有較大梯度的問題較適用.在討論有生化反應過程時，利用對流項與生化反應項的特徵時間量級估算，給出了求生化過程作用子步的時間步長估算辦法.用上述方法所得到的模擬結果與解析解、無化學反應和有化學反應的實測值對比，吻合很好
  11. Nonlinear programming which is considered to be recreation of the finite dimension optimization classical theory is a very important and active branch of opsearch. characteristic of nonlinear programming lies in : allowance of complex constraints on the optimization it studies, deep analysis of optimality and duality, emphasis on summarizing theorem and establishment of feasible algorithm

    非線性規劃是運籌學數學理論中特別重要而又活躍的一個分支，可認為它是有限維最優化經典理論的再創造，其特徵主要在於：所研究的最優化問題允許復雜的約束，對最優性、對偶性諸方面進行深入的分析，並強調進行理論概括和提出可行的演算法。
  12. This dissertation studies mainly theories and according numerical implementation of a class of dual algorithms for nonlinear optimization problems, including unconstrained minimax problems and constrained nonlinear programming problems

    本文主要研究非線性優化中的一類對偶演算法，包括無約束極大極小問題的對偶演算法和約束非線性規劃問題的一類對偶演算法的理論與相應的數值實現。
  13. First, we think periodicity and weakening surge of the nonlinear waveform is caused by self - excitation of the circuit. the electric field thresholds ( et ) and maintenance field ( es ) of lock - on are modulated by the ac electric field ; the nonlinear waveform became two main modes of trans - electron oscillator, namely delay polar domain mode and quenched dipole domain mode

    指出非線性波形周期性的減幅振蕩，是由於光電導開關所處電路自激振蕩形成的交流場對偶極疇的閾值電場e _ t和維持電場e _ s進行控制，從而形成轉移電子振蕩器的兩種主要工作模式：延遲偶極疇模式和猝滅偶極疇模式。
  14. In two - component model of hydrogen - bonded chains, the system with nonlinear and linear coupling between proton sublattice and heavy - ion sublattice is investigated. fast - mode soliton pair and slow - mode soliton pair are obtained. as for fast - mode soliton the effective mass of the kink in the proton sublattice decreases due to the nonlinear coupling and increases due to the linear coupling. for slow - mode soliton, the thing is quite opposite to that of fast - mode soliton

    在氫鍵鏈二分量模型中，研究質子子晶格和重離子子晶格相互作用項中同時含有非線性耦合和線性耦合兩部分的系統，得到快模孤子偶和慢模孤子偶.對于慢模孤子而言，非線性耦合降低了質子子晶格中孤子的有效質量，而線性耦合增加了質子子晶格中孤子的有效質量；對于快模孤子而言，情況正好相反
  15. It is difficult to analytically solve the inequality constrained nlps in the dual space, due to the linear lagrangian. a perturbed ( regularized ) lagrangjan approach is proposed, which provides an analytic solution of the dual variables in terms of primal variables

    然後針對帶不等式約束的非線性規劃問題，給出一個lagrange正則化（攝動）方法，該方法有效地克服了線性lagrange函數難于在對偶變量空間直接求解的困難。
  16. Furthermore, a mixed type dual for the primal problem is established and duality results are obtained. after that, the optimality sufficiency conditions and duality results for the nonlinear fractional programming problem are presented under generalized ( f, or, p, d ) - convexity assumptions

    接著建立了含有等式約束和不等式約束的非線性多目標規劃問題的wolfe型對偶和mond - weir型對偶及原問題的混合類型對偶，並獲得了相應類型下的弱對偶定理和強對偶定理。
  17. By using the asymptotic theory a class of nonlinear coupled system is considered

    摘要利用漸近理論，討論了一類非線性對偶系統。
  18. At the beginning of their research, they could transform some nonlinear programming into relevant dual, such transformation made some outcome almost similar to linear programming. but if they wanted meaningful results, they had to consider convex programming

    在初期，他們發現可以將某些非線性規劃表述為一個相應的對偶規劃，且有少量相似於線性規劃的結果，但如果希望得到有意義的結果，只能考慮凸規劃。
  19. It is a1so referred to the nlo liquid crystal polyurthanes and the system of nlo liquid crysta1 polymer briefly. fchrmore, the possibility of combining the nlo polyurthanes and lcpu is also discussed based on azobenzene compound, whch own liquid crysta1line mesogenic unit and nonlinear opical wht togethel a series of polyurethanes with two kinds of diisocyanates were synthsized with azobenzene compounds which we prepared beforehand. the azobenzene compounds were charaterized and confirmed by ftir, " h - nmr, uv - vs, dsc, and elemeni analysis

    本文第一章簡介了液晶的有關基本概念；綜述了聚氨酯液晶的研究進展，並著重總結了聚氨酯液晶的合成方法和影響聚氨酯液晶形成液晶相的因素；介紹了非線性光學聚氨酯液晶，對非線性光學聚合物液晶體系也作了扼要的闡述，指出利用含有既是液晶基元又是非線性光學單元的偶氮基團的化合物合成聚氨酯液晶，實現兩者結合的可能性。
  20. Using copper ( i ) chloride as catalyst, a kind of novel macromolecular diacetylenes with nonlinear optical conjugated group was synthesized. these polymers were characterized using ft - ir, uv and " h - nmr. 4

    採用金屬氧化偶聯法合成了一類含非線性側鏈高分子二乙炔，並通過h - nmr 、 ir和uv等方法對高分子二乙炔進行了表徵。
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