algebraic transformation 中文意思是什麼

algebraic transformation 解釋
代數變換
  • algebraic : adj. 代數的，代數學（上）的。adv. -ically 代數學上。
  • transformation : n 轉變，變化；變形；【生物學】（尤指昆蟲的）轉化，變態，改造，改革；變質；【數學】變換；【電學】...
  1. Improve the traditional method of solving algebraic eigenvalue and eigenvector, give a new method of solving algebraic eigenvalue and eigenvector with elementary transformation

    摘要改進了求代數特徵值與特徵向量的傳統方法，給出了一種用初等變換來求代數特徵值與特徵向量的方法。
  2. This paper is to study harmonic maps into symplectic groups and local isometric immersions into space forms by means of the soliton theory. by realizing an action of the rational loop group on the spaces of corrsponding solutions, we get the backlund transformation and the darboux transformation, and thereby we give the explicit construction for harmonic maps into symplectic groups and local isometric immersions into space forms via purely algebraic algorithm

    主要用孤立子理論研究到辛群的調和映射和到空間形式的局部等距浸入，通過有理loop群在其解空間上的dressing作用，給出b icklund變換和darboux變換的顯式表示，從而獲得到辛群及其對稱空間的調和映射和到空間形式的局部等距浸入的純代數構造方法。
  3. In the third part, i genelized one theorem of lambert ' s from a hilbert space to a semi - self - conjugate vector space, and some results of reflexivity are attained. in the fourth part, i discussed the algebraic reflexivity of a ( strictly ) cyclic linear transformation on a vector space

    1 ，把這個結論從hilbert空間推廣到半自共軛的banach空間，得出一些自反性的結論；第4章討論了線性空間上的（嚴格）循環的線性變換的代數性自反。
  4. The second part, with the aid of many types constructive transformation and symbolic computation ( especially wu algebraic elemination method ), some topics in nonlinear evolution equation are studied, including exact solution ( solitary solution, periodic solution, rational function solutions and jacobian function solution ), backlund transformation, cole - hopf transformation, dromion solution and its construction etc. charter 2 introduces ac = bd model and its application about partial differential equations

    第二部分以構造性的變換及符號計算特別是（吳代數消元法）為工具，來研究非線性演化方程中的一些問題：精確解（如孤子解、周期解、有理解和雅可比橢圓函數解（雙周期解）等） 、 backlund變換、 hopf變換， dromion解及衰變結構等第二章介紹了求解pdes的ac = bd模式及其在偏微分方程中的作用。
  5. By using the new method, the eigenstate of xxz antiferromagnetic model is solved, which is revealed to be 5 ? l, l ) coherent state. in the third chapter, we discussed the relation between the bogoliubov - valatin transformation and the algebraic method based upon the bcs model hamiltonian at first. then, we diagonalized the ssh model hamiltonian for the first time by using the algebraic diagonalization method

    第三章我們首先使用bogoliubov - valatin變換對角化和新的代數對角化兩種方法，將bcs模型的哈密頓量對角化，並對兩種對角化方法作了比較、討論；其後，本文首次給出了代數對角化方法在ssh模型中的應用，並且其結果也與bv變換法的作了同上面bcs模型類似的討論。
  6. In the first chapter of the article we introduce the bogoliubov - valatin transformation theory based upon the xxx antiferromagnetic model. in the second chapter, a new algebraic diagonalization method is presented

    第二章介紹一種新的代數對角化方法的理論，這種方法可以將具有半單李代數結構的哈密頓量對角化。
  7. 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 。
  8. Based on the algebraic transformation and the frame of kmm algorithm, a self - adjusting factor was embedded into newton equations for p0 linear complementarity problem, a new infeasible interior point algorithm for p0 linear complementarity problem ( p0 - lcp ) was developed and its global convergence analysis was established

    摘要基於代數變換和kmm演算法的框架，通過在牛頓方程中嵌入一種自調節功能，提出了一種新的求解p0陣線性互補問題的不可行內點演算法，並證明了該演算法的全局收斂性。
  9. Linear algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old euclid g eometry. the concept of " linear space " is a kind of algebraic abstract. in many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined

    線性代數主要是研究有限維線性空間及其線性變換這一代數結構的學科，而線性概念究其根源則是來自古老的euclid幾何，線性空間概念是幾何空間的一種代數抽象，在現代工程技術的許多領域里，由於計算機及圖形顯示的強大威力，幾何問題的代數化處理，代數問題的可視化處理，把代數與幾何更加緊密地結合在一起。
  10. As to feature extraction, it can be divided into two parts because face features can be divided into geometrical features and algebraic features. while extracting geometrical features, the features of eyes, nose, mouth, eyebrows can be gained by some image processes : binary, sharpen, smooth, projection, calculating gradient and so on. in order to extract algebraic features, we can do some mathematical transformation for the digital images such as singular value decomposition, k - l transformation

    首先根據人臉圖像二值化圖中頭發塊的輪廓，確定出人臉的一次輪廓；然後在人臉的一次輪廓中以黑塊分析與投影分析相結合的方法定位出人眼，黑塊分析基於圖像的二值特徵以及人眼的幾何特徵，投影分析則基於圖像的灰度特徵進行，它對黑塊分析的結果進行補充；根據定位出人眼信息，取出人臉的二次輪廓；對人臉的二次輪廓進行標準化，獲取人臉的標準圖像。
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