線點對偶 的英文怎麼說
中文拼音 [xiàndiǎnduìǒu]
線點對偶
英文
higher pair-
A. douady had suggested to study dynamics of biquadratic polynomials. by definition, a biquadratic polynomial is the composition of two quadratic polynomials, so it is an even quartic polynomials which can be written as f ( z ) = z4 + az2 + 6, where a, b are parameters. it is easy to see that / has a critical point at 0 and two symmetric critical points at
A . douadv曾建議對雙二次多項式的動力系統進行研究，所謂雙二次多項式就是兩個二次多項式的復合，也即偶四次多項式，在一個線型共軛下可以記為fz ） = z ~ 4 + z ~ 2 + b ，這里o ， b是參數，點0是它的一個臨界點，另外還有兩個對稱的臨界點（ （ - a ） 、 2 ） ~ 2 。Based on hough transform, a new straight lines tracking method is presented. rather than tracks straight lines in image space directly, the given method makes use of duality theory in hough transform in order to transform line tracking in image space into point - tracking in hough space
其次本文提出了一種基於hough變換的直線跟蹤新方法，該方法利用hough變換中的點線對偶性原理，將在圖像空間中對直線的跟蹤轉化為在參數空間中對點的跟蹤。Chapter three introduces the development of interior - point methods for linear programs first since the interior - point methods for lcps can be looked as a natural extension of primal - dual interior - point methods for lps
由於求解線性互補問題的內點法可以看作是線性規劃原-對偶內點法的一個自然推廣，在第三章開頭首先介紹了內點法。An integral property and its physical significance of difinite integral, double & triple integral, curve and curved surface integral of generalized odd and even functions are demonstrated, which are symmetrical about plane, line and point in the domain
論述了關于面、線、點對稱的區域上的廣義奇、偶函數的定積分、二重、三重積分、曲線、曲面積分的一個性質及其物理意義。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。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The general situation and progress of magnetic dipole theoryresearch during recent twenty years in china were introduced briefly including magnetic dipole ; linear and strip magnetic dipoles of finite lengths ; magnetic force on a magnetic particle ; the effect of magnetizing field orientation on the revelation of defect by magnetic particles ; longitudinal magnetization of rod, tube and cuboid steel ; the relationship between the slot depth in a workpiece and magnetic leakage field ; the cause of stray magnetic pattern along base apex edges of a workpiece magnetized circumferentially ; the analytic expression for the magnetic leakage fields inside and outside the slot on the cylindrical surface of a disc ; and the effect of a needle - like magnetic medium on the magnetic force between two point magnetic charges
簡述20年來中國無損檢測中磁偶板子理論研究的概況和進展，主要介紹磁偶極子，有限長磁偶極線和極帶，磁粉顆粒的受力，磁化場方向對磁粉顯現缺陷的影響，棒料、管材和方鋼的縱向磁化，工件表面溝槽深度對其引起漏磁場的影響，周向磁化時工件底棱上的雜亂顯示成因，圓盤邊緣柱面上溝槽內外漏磁場的解析表達式和針狀磁介質對兩個點磁荷間磁力的影響等。Abstract : the general situation and progress of magnetic dipole theoryresearch during recent twenty years in china were introduced briefly including magnetic dipole ; linear and strip magnetic dipoles of finite lengths ; magnetic force on a magnetic particle ; the effect of magnetizing field orientation on the revelation of defect by magnetic particles ; longitudinal magnetization of rod, tube and cuboid steel ; the relationship between the slot depth in a workpiece and magnetic leakage field ; the cause of stray magnetic pattern along base apex edges of a workpiece magnetized circumferentially ; the analytic expression for the magnetic leakage fields inside and outside the slot on the cylindrical surface of a disc ; and the effect of a needle - like magnetic medium on the magnetic force between two point magnetic charges
文摘:簡述20年來中國無損檢測中磁偶板子理論研究的概況和進展，主要介紹磁偶極子，有限長磁偶極線和極帶，磁粉顆粒的受力，磁化場方向對磁粉顯現缺陷的影響，棒料、管材和方鋼的縱向磁化，工件表面溝槽深度對其引起漏磁場的影響，周向磁化時工件底棱上的雜亂顯示成因，圓盤邊緣柱面上溝槽內外漏磁場的解析表達式和針狀磁介質對兩個點磁荷間磁力的影響等。Firstly, sp supposed to be generated by point curl source which is the border of dipole layer rather than the line dipole layer in section view, then, curl source scanning function is given, and image is retrieved by probability tomography approach
首先把剖面上偶極層的線分佈產生的場看作是偶極層的邊緣旋度源的點分佈產生的場；然後給出旋度源的掃描函數，用概率成像方法對旋度源進行成像。They have a dual property that an optimal solution of problem a could be a straight - line connecting two given points and an optimal solution of prob - lem b could be a point of intersection of two given straight - lines
我們發現問題a和問題b有很好的對偶性質：問題a的最優解可在某兩個給定點的聯線中找到；問題b的最優解可在某兩條給定直線的交點中找到。In this paper, basic transmission modes of electro - magnetic wave are discussed, the features for three transmission methods namely solenoidal, toroidal and direct coupled are analyzed in comparison
概述了電磁波發射傳輸的基本方式，對比分析了螺線管發射、環形線圈偶合與直接偶合方法的特點。Motivated by this fact and peng ' s promising result, we utilize a special algebraic transformation, namely logarithmic transformation, to establish a non - infeasible long - step primal - dual path following algorithm. this algorithm arrives at the primal - dual solution set along the steepest descent direction of primal - dual
第七章，通過構造一個新的鄰近度量函數，提出一個具有自調節功能的原一對偶路徑跟蹤內點演算法，並將其與線性規劃軟體lipsol和彭等人的m 。Problem c and problem d are also dual. they have a dual property that there are at least three " critical points " corresponding to an optimal straight - line in problem c and there are at least three " critical straight - lines " corre - sponding to an optimal point in problem d. from these properties, these four non - linear prob - lems could be transformed into combinatorial problems and could be solved by algorithms with polynomial - time iterations
問題c和問題d也是對偶問題。問題c和問題d也有很好的對偶性質：在問題c中，對應於一條最優直線，至少存在三個「臨界點」 ；在問題d中，對應於一個最優點，至少存在三條「臨界直線」 。基於這種性質，這四個非線性優化問題便轉化為組合問題，從而得到迭代次數為多項式的演算法。分享友人