矩陣的特徵根 的英文怎麼說
中文拼音 [jǔzhèndetèzhǐgēn]
矩陣的特徵根
英文
characteristic root of a matrix- 矩 : 名詞1. (畫直角或正方形、矩形用的曲尺) carpenter's square; square2. (法度; 規則) rules; regulations 3. [物理學] moment
- 陣 : Ⅰ名詞1 (作戰隊伍的行列或組合方式) battle array [formation]: 布陣 deploy the troops in battle fo...
- 的 : 4次方是 The fourth power of 2 is direction
- 特 : Ⅰ形容詞(特殊; 超出一般) particular; special; exceptional; unusual Ⅱ副詞1 (特別) especially; v...
- 徵 : 名詞[音樂] (古代五音之一 相當于簡譜的「5」) a note of the ancient chinese five tone scale corre...
- 根 : Ⅰ名詞1 (植物的營養器官) root (of a plant) 2 (比喻子孫後代) descendants; posterity 3 [數學] ...
- 矩陣 : [數學] matrix; array
- 特徵 : characteristic; feature; properties; aspect; trait
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Firstly, it introduced the import principium resolving thread and steps of analytic hierarchy process. secondly, it erected model of population modernization, which based on the steps of analytic hierarchy process. lastly, it got the maximal eigenvalue of dissymmetric matrix and corresponding eigenvector with sas, and normalized the eigenvector to get weight value
本章分為兩部分,第一部介紹分析法的提出、原理以及解決問題的思路和步驟;第二部建立模型確定權重,根據層次分析法的原理和步驟,建立人口現代化指標體系的模型,運用sas求解所構造的非對稱判斷矩陣的最大特徵值,從而得出所對應的特徵向量,變形后得到權重。The concept of orthogonal matrix and four properties of generalized orthogonal matrix in determinant, characteristic solution and adioint matrix were discussed
摘要推廣了正交矩陣,並研究了廣義正交矩陣在行列式、特徵根、伴隨矩陣等問題中的四個性質。Its basic thought is that using amass of simple classifier which has common classified ability and through thecertain method , at last , constitutes a very strong classifier which has strongclassified ability carries on many times with this strong classifier to the goalpictures , finally confirmed the pictures whether includes the human face andits the general position this algorithm uses a characteristic which called haar characteristic thischaracteristic is one kind of simple rectangular characteristic , because it issimilar with the haar wavelet , so called haar characteristic this kind ofcharacteristic is composed of two or many rectangles that are congruent andneighboring there are white and black kinds of rectangles in the characteristictemplate, and defines this characteristic template characteristic value as thewhite rectangle this characteristic value is that the difference between white
本文主要研究基於haar特徵的adaboost演算法。由於以前提出的特徵中包含的人臉基本特徵比較少,導致檢測時間過長。本文根據人臉基本特徵的分佈提出一種新的特徵,新特徵覆蓋了人的眼睛,鼻子和嘴,它由haar特徵中的一些簡單特徵組合而成,形狀類似卷積中用到的3階矩陣,這種新特徵檢測的結果是可以檢測到人臉,時間上得到優化。Based on different texture of the face and the inverse of leather, this paper extracted characteristic vector of the face and the inverse of leather using co - occurrence matrix and classified the face and the inverse of leather using fisher classifier and nn base on characteristic vector
由於皮革正面和反面具有明顯不同的紋理特徵,本文用共生矩陣提取皮革正反面的紋理特徵,並根據提取的特徵向量採用分類器對皮革正反面進行自動識別和分類。The method that how to adjust the consumption coefficients according to the final demand structure is researched ; in order to make the right positive characteristic vector of the new consumption coefficient matrix is just the final demand structure
摘要研究了如何根據最終需求的結構來調整原有的消耗系數,使得調整后的消耗系數矩陣的右正特徵矢量是最終需求結構。At first we compare some kinds of investment loss function, analyze their defects and take the eignvalue of covariance matrix as the measurement of investment risk, the principle component as the information of investment market, sn and cv of the principle component as balance relationship between the profit and risk. then different portfolio selection indexes are given, and new portfolio selection models are presented, which are different from h. markowitz model. at last an example is also given
本文首先比較了幾種常用的投資損失函數,在分析它們的缺陷與不足的基礎上,提出了採用收益率的協方差矩陣的特徵根刻畫投資的風險;用主成份綜合反映證券市場的信息;分別採用主成份的差異系數與信噪比反映投資組合的期望收益率與風險之間的均衡關系,並以此作為投資組合損失最小化與收益極大化的指標;得到了不同於hBased on the properties of bisymmetric matrices, a class of constrained inverse eigenproblem and associated approximation problem for bisymmetric matrices were essentially decomposed into the same kind of subproblems for real symmetric matrices with smaller dimensions, and the solutions of the two problems were obtained by applying the conclusions of real symmetric matrices
摘要根據雙對稱矩陣的性質,將雙對稱矩陣的一類約束逆特徵值問題及其逼近問題分解成具有較小階數的實對稱矩陣的同類子問題,然後利用實對稱矩陣的結果導出雙對稱矩陣的這兩個問題的解。Eigenvalues of bordered matrix
鑲邊矩陣的特徵根Characteristic root of a matrix
矩陣的特徵根As a reliable statistical index to describe chaos lyapunov exponent is applied extensively. the definition and algorithm are discussed in this paper. only in the one - mass hamiltonian system lyapunov exponent equals to the eigenvalue
作為描述混沌的一種可靠的統計指標, lyapunov指數被廣泛應用於電力系統混沌的判斷,本文介紹了其定義及演算法,指出在一般情況下,該指數不同於系統jacobi矩陣的特徵根。4. in chapter four, a new method to construct integral directed graphs is discovered through the research on the relationship between the zeros of the characteristic polynomial of the single level and multi - level circulant matrices and the parameters of the matrices. the method can be used to construct infinite integral directed graphs
第四章,通過對循環矩陣和多層循環矩陣的特徵根與矩陣中參數的關系的研究,發現了一種全新的構造有向整譜圖的方法,通過運用此方法,可以得到無窮多個有向整譜圖。Based on the characteristics of molecular structure, dyeing matrixes and adjacent matrixes are used to characterize molecular structure, and a new method, the group bond contribution method, is developed to predict the refractive indexes of alkane from the information of molecular structures
摘要根據分子結構的特點,通過用染色矩陣和鄰接矩陣對分子結構進行矩陣化表徵,發展了一種根據分子結構信息預測烷烴折光指數的新方法基團鍵貢獻法。Abstract : the optical admittance of a single - layer film is derived from the characteristic matrix of the film pile. based on the single - layer, recurring layer by layer, supercomposing one by one, deriving the equivalent admittance of the film pile and calculating the reflect coefficient of the amplitude, the reflectivity and transmissivity of hte whole film system is derived at last
文摘:根據膜堆的特徵矩陣,求出單層膜的光學導納,在單層膜的基礎上,進行層層遞推,疊加起來,求出膜堆的等效導納,計算振幅反射系數,最後求出整個膜系的反射率、透射率。Third, controlling chaos in the chaotic n - scroll chua ' s circuit is studied. the approach taken is to use feedback of a single state variable in a simple pd ( proportional and differential ) format. first, the unstable fixed points in the n - scroll chua ' s circuit are classified into two different types according to the characteristics of the eigenvalues of the linearized system matrix at the fixed points
第三,研究了多渦卷chua電路中不動點處jacobian矩陣特徵根的性質,並據此將不動點分成兩類,應用變量的比例微分反饋法分別對這兩類不動點的可控性進行了研究,研究發現該法只能實現第一類不動點及其相應子空間的混沌控制,而不能完成第二類不動點的混沌控制,並給出了數值模擬結果,理論分析和數值模擬證實了該方法的有效性。But, though considerable process has been made in the last ten years, digital watermarking is still in its infancy, and much interesting work remains to be done this thesis addresses some problems in the gray - scale image digital watermarking that are summarized below : 1 ) whereas the basic theory of digital watermarking is still very poor, a digital watermarking mathematic model based on imperceptibility and robustness is presented by analysising the characteristic of digital watermarking ; 2 ) based on the model constructed above, by defining the measures of capacity and robustness of digital watermarking, an objective method for evaluating the digital watermarking is introduced and used to analysis some algorithms ; 3 ) whereas geometric distortion always influences the restoration of watermark, we advocate to enhance the robustness against geometric distortion by restoring the image which has been distorted by geometric transformation, and a method is designed for estimating the parameters of geometric transformation ; 4 ) based on the conclusion discussed above, and combined with the masking effects of hvs, a novel public meaningful gray - scale image digital watermarking is designed by analysising the characteristics of image gray - scale interpolation and haar wavelet transformation. the experimental results show that the method is indeed powerful ; 5 ) whereas many image digital watermarking schemes, which embed watermark by modifying the values of pixels in spatial domain and transformed domain, are confronted with the conflict between the imperceptibility and robustness, we advocated to use some stable digital characteristics of host image as watermark and a algorithm based on hermite matrix is designed
本文重點對灰度圖象數字水印技術進行研究,主要工作如下: 1 )鑒于目前數字水印的理論研究比較薄弱的現狀,本文通過分析數字水印的特點,建立了一個數字水印的數學模型,為進一步研究數字水印打下了基礎; 2 )根據以上建立的模型,通過引入容量和穩健度的概念為數字水印提供了一個客觀評價方法,並對一些數字水印演算法進行了分析; 3 )為增強數字水印抵抗幾何攻擊的能力,研究了受幾何攻擊的圖象的復原問題,並給出了一個計算圖象幾何變換參數的方法; 4 )通過分析圖象灰度插值演算法和haar小波變換的特點,結合hvs的掩蔽效應,設計了一個公開的有意義數字水印演算法,實驗結果表明本演算法具有較強的穩健性; 5 )目前許多水印演算法都是通過在空域或頻域修改象素值的方法嵌入水印的,這種方法面臨著透明性和穩健性的矛盾,為解決這個矛盾,本文提出以圖象的某些穩定的數字特徵為水印的觀點,並結合hermite矩陣的特點設計了相應的水印演算法,實驗結果表明該演算法具有較好的穩健性。A global equation is finally obtained as a second - order characteristic matrix equation
該列式只需對扇形區域在角度方向上離散,最後得到一個二次特徵根矩陣的總體方程。On the characteristic polynomial and characteristic root of the orthogonal matrix
正交矩陣的特徵多項式及特徵根First we construct a covariance matrix from sample images, then compute the eigenvalues and corresponding eigenvectors of the covariance matrix, construct a feature matrix with the eigenvectors. then every images in database can be projected into the feature matrix and gain a projection vector, so does the input image. then we can judge the resemblance between input image with each image in database by computing the distance between their projection vectors
我們首先根據採集的樣本圖像構造一個協方差矩陣,然後求取該矩陣的特徵值,以這些矩陣特徵值對應的特徵向量構造出一個特徵空間,然後將輸入圖像向該特徵空間映射,將獲取的映射系數與樣本庫中圖像的映射系數進行距離計算,根據計算出的距離判定輸入圖像與樣本圖像間的匹配程度。First we construct a covariance matrix from sample images, then compute the eigenvalues and corresponding eigenvectors of the covariance matrix, construct a feature matrix with the eigenvectors. then every image in database can be projected into the feature matrix and gain a projection vector, so does the input image. then we can judge the resemblance between input image with each image in database by computing the distance between their projection vectors
然後,根據採集的樣本圖像構造一個協方差矩陣,求取該矩陣的特徵值,以這些矩陣特徵值對應的特徵向量構造一個特徵空間,將輸入圖像向該特徵空間映射,計算獲取的映射系數與樣本庫中各類圖像的映射系數的歐基里德距離,根據計算出的距離判定輸入圖像與樣本圖像間的匹配程度。Eigenvalues and eigenvectors of lexico - product of matrices
矩陣的字典式積的特徵根與特徵向量分享友人