matrix over a field 中文意思是什麼

matrix over a field 解釋
域上矩陣
  • matrix : n （pl matrices 或matrixes）1 【解剖學】子宮；母體；發源地，策源地，搖籃；【生物學】襯質細胞；間...
  • over : adv 1 在上，在高處；從上向下；突出，倚靠；越過。 jump over 跳過。 climb over 爬過。2 在那邊，向那...
  • a : an 用在以母音音素開始的詞前〉 indefinite art 1 〈普通可數名詞第一次提到時，冠以不定冠詞主要表示類...
  • field : n 菲爾德〈姓氏〉。n 1 原野，曠野；（海、空、冰雪等的）茫茫一片。2 田地，牧場；割草場；〈pl 〉〈集...
  1. It is studied factorizing a matrix over quaternion field to the product of two self - conjugate matrices. and some useful results are obtained

    摘要研究了四元數矩陣分解為兩個自共軛矩陣乘積，其中有一個是非奇異陣的條件，得到了一些有用的結果。
  2. Hence an algorithm for the minimal polynomial of a block circulant matrix over the field is presented

    ） bner基，從而給出了求塊循環矩陣的極小多項式的演算法。
  3. A sufficient and necessary condition for determining singularity of a block circulant matrix over a quaternion division algebra over a field is given, and two algorithms for the inverse of a nonsingular block circulant matrix over the quaternion division algebra are presented

    ?給出了域上的塊循環矩陣可逆性的充要條件及其逆矩陣的演算法。 ?給出了四元素可除代數上的塊循環矩陣可逆性的充要條件及其逆矩陣的兩種演算法。
  4. Generally unitary solution to a system of matrix equations over the quaternion field

    一四元數矩陣方程組的廣義酉矩陣解
  5. Linear maps preserving group inverses of matrices on symmetric matrix spaces over a field

    域上保對稱矩陣空間上群逆的線性映射
  6. Algorithms for the minimal polynomial and the inverse of a given block symmetric circulant matrix over a group algebra of a finite group over a field are presented. and a method of determining singularity of this block symmetric circulant matrix is given

    ?給出了求域上有限群的群代數上的塊循環矩陣的極小多項式的演算法，西安電子科技大學博士學位論文:多項式代數及其應用奇異性判別法及其逆矩陣的求法
  7. The definition of a mixed block matrix is given, and an algorithm for the inverse of a given mixed block matrix over a group algebra of a finite group over a field is presented, and a method of determining singularity of this mixed block matrix is given

    ?給出了域上有限群的群代數上的塊對稱循環矩陣的奇異性判別法及其逆矩陣求法. ，定義了域上有限群的群代數上的混合塊矩陣，並給出了它的可逆性的判別法及其逆矩陣的求法
  8. Upon using an artificial neural network ( ann ) a new short - term climate forecast model with the monthly mean rainfall in june in the north of guangxi as predictand is established making empirical orthogonal functions ( eof ) to the 36 predictors ( 15 ssa predictors, 21 500hpa height predictors ) with over 0. 05 significant correlation level of previous 500hpa height and sea surface temperature ( sst ) field, and selecting the high relative principal components, at the same time, a new approach of constructing ann learning matrix is developed. predictive capability between the new model ( principal components ann model ) and linear regression model for the same predictors is discussed based on the independent samples and historical samples

    本文通過對廣西北部6月平均降水量（預報量）同北半球月平均500hpa高度場和北太平洋月平均海溫場進行相關普查，選取了前期36個同預報量相關顯著水平達到0 . 05以上的預報因子（ 15個海溫場預報因子， 21個高度場預報因子） ，並運用自然正交函數展開方法對這36個前期預報因子展開，取其中同預報量相關程度高的主成分，結合人工神經網路技術，提出了一種新的構造人工神經網路學習矩陣的方法，建立了一種新的短期氣候預測模型。
  9. The concept of a secondary diagonalizable ( sdiagonalizable ) matrix over quaternion field is defined, necessary and sufficient conditions for determining whether a matrix over quaternion field is a sdiagonalizable matrix are studied, and a method of finding sdiagonalizable matrices is given

    摘要給出了四元數矩陣次對角化的定義，研究了一個四元數矩陣可次對角化的充要條件，並給出了使其次對角化的一個方法。
  10. Then we brought out algorithm to construct ergodic matrix according to the recursion formula ( i ) and expatiate characteristic theorems about “ ergodic matrix ” by the numbers, the difficult problem and one - way ( trapdoor ) function based on the ergodic matrix over finite field. then we put forward the concept of strong matrix based on ergodic matrix according to a problem and the algorithm of finding and constructing the strong matrix of ergodic matrix. as one - way function played an important role in cryptography, we gave a new plan to realize application pattern in cryptology

    基於單向函數在密碼學中的重要性，本文構造了基於遍歷矩陣的單向函數b = q _ 1 ~ aaq _ 2 ~ b ，並在此基礎上實現了包括密鑰管理協議、認證協議和智力撲克協議在內的五種典型的安全協議，同時就演算法的特點和攻擊特性進行了分析。
  11. A least squares solution via singular value decomposition is used to solve the matrix equation. computations with synthetic data, where the near field of several typical antenna configurations are got over various geometric surface, illustrate the accuracy of the method

    為了證明本方法的計算準確性，我們給出了幾個不同輻射源在不同近場測量幾何面下的近場和遠場計算結果，與解析公式的計算結果相比較，一致性很好。
  12. Some results on geometric lattice are involved in the present paper. here we recall some definitions and facts from geometric lattice, and then by the method of decomposition form of idempotent matrix over a finite field, one geometric lattice is obtained. at the same time, the present paper compute the characteristic polynomial and the parameters that involved in the geometric lattice

    本文得到了構造幾何格方面的一些結果，其中第一部分介紹幾何格理論的基本概念；第二部分利用有限域f _ q上冪等陣的分解形，構造了一個幾何格，並計算出該幾何格的特徵多項式及相應的一些參數。
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