矩陣的秩 的英文怎麼說

中文拼音 [jǔzhèndezhì]
矩陣的秩 英文
rank （linear algebra）
  • 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
  • 秩 : 名詞[書面語]1. （次序） order; sequence 2. （十年） decade
  • 矩陣 : [數學] matrix; array
  1. The signal we named it fundamental wave ; according to the fundamental wave, coefficients of the fundamental wave can be lined in a sequence. when the unique of the dissolve of the fundamental wave can be confirmed, the sequence of the coefficients can be regarded as one of representation forms of the signal itself ; theory of dissolvable signal shows that when order of the matrix of fundamental wave sampling equals to number of fundamental waves, the sequence of the sampling values from sampling points must be matched one by one with the sequence of the coefficients of fundamental waves. the sampling composed by sequences of the sampling values must be full sampling ; the relevant deductions of the theory of dissolvable signal shows that when sampling the signal, sampling frequency must be lager than the ratio of the number of fundamental waves to the occupation time of the fundamental waves ; to band - limited signals, when the fundamental wave is a sine signal, the results from the relevant deductions of theory of dissolvable signal is coherent to the classic sampling theory

    本文通過分析認為，當信號集中的任一信號可表示為一系列已知信號的線性代數和時，信號集便構成可分解信號集，已知信號稱為基波信號；對可分解信號而言，基波系數構成一序列，當對指定的基波信號集分解唯一確定時，系數序列本身便是信號的一個表示；可分解信號采樣定理指出當基波樣值矩陣的秩等於基波數時，則由采樣點處的采樣樣構成的樣值序列必與基波系數序列一一對應，從而由該樣值序列構成的采樣必為完全采樣；可分解信號采樣定理中的推論指出，對信號集進行采樣，采樣頻率必須大於其信號分解的基波數與其對應時長之比；對有限帶寬信號，若基波信號為正弦信號時，由可分解信號采樣定理推論給出的結論與經典采樣定理一致。
  2. In this paper we first give the definition of a type of block upper triangular matrix algebras and then characterize linear surjective maps that preserve rank one from one block upper triangular matrix algebra of this type to another

    本文的主要結果是確定了一類分塊上三角矩陣代數的保持秩一的線性滿射。本文首先定義了一類分塊上三角矩陣代數（ c ） ，然後確定了保持秩一的線性滿射。
  3. This dissertation proves that a single m - partite entangled mixed state in the system whose dimension of each subsystem is two cannot be purified to an m - partite entangled pure state. in general, a single m - partite entangled mixed state whose density matrix has higher rank cannot be purified to an m - partite entangled pure state. for a class of entangled mixed states, its fidelity cannot be increased under locc

    論證了在局域操作和經典通信下，單個多體糾纏混合態（每個子系統的維數都為2 ）不可能被純化；密度矩陣有著較高秩的混合態也不可能被純化；給出了一類多體糾纏混合態，在局域操作和經典通信下，對某一糾纏純態的忠實度不能增加。
  4. Additive preservers of rank on rectangular matrices over fields

    域上長方矩陣空間的加法秩保持
  5. We can find a polynomial model of a time series in case its associated matrix is not diagonal and not of full rank by using the transformations of the exponential and the logarithm

    對于不能對角和不滿秩的時間序列矩陣，運用指數對數的可逆變換及相關的列變換化為滿秩可對角的時間序列矩陣，從而找到代數多項式模型。
  6. The cable - strut tensile structures are the self - stress equilibrium systems composed by tensional cables and struts. in this paper, the basic concept of the structures was described. the analysis methods of the structural characteristics ( statically and kinematically determinate or indeterminate ) and the geometrical stability were presented. it is indicated that the cable - strut tensile structures are in stable equilibrium with first - order infinitesimal mechanisms. the ranks of equilibrium matrix were calculated by employing the singular value decomposition, and the independent modes of inextensional mechanisms and the states of self - stress were also obtained in the same way. this paper contains some typical examples which illustrate all of the main points of the work

    索桿張力結構是指由張力索和壓桿組成的、具有預應力自平衡的新穎結構體系.本文詳細闡述這種結構的基本概念和結構特徵，討論結構靜動定體系特性和幾何穩定性判定分析方法，指出索桿張力結構應具有一階無窮小機構的幾何穩定體系.文中採用奇異值分解方法計算結構平衡矩陣的秩，並計算獨立機構位移模態和自應力模態.最後，對幾種典型的索桿張力結構進行了算例分析
  7. It is especially attractive for the downlinks and suppressing intercell mai. when multiuser detector is adapted in blind mode, it usually adopts eignvalue decomposition or singularvalue decomposition of received sample correlation matrix and tracking alrithgms, which result in high computational complexity. at the same time, approximation computation in tracking alrithgms also result in slow convergence

    為實現盲自適應檢測，通常採用對接收信號樣本矩陣進行特徵值分解（ evd ）或奇異值分解（ svd ）后進行跟蹤，由此帶來的子空間秩跟蹤使得實現復雜度很高；另一方面，在跟蹤演算法中考慮一些實際情況而作出近似處理，從而引起誤差積累和正交性誤差，導致每次跟蹤開始階段跟蹤速度變慢。
  8. The inverse problem of the linear equations ax

    在滿秩次對稱矩陣類中的反問題
  9. The concept of row ( column ) transposed matrix and row ( column ) symmetric matrix is given, their basic property is studied, and the formula for full rank factorization and orthogonal diagonal factorization of row ( column ) symmetric matrix are presented, which can reduce dramatically the amount of calculation and save the cpu time and memory without loss of any numerical precision

    摘要提出了行（列）轉置矩陣與行（列）對稱矩陣的概念，研究了其性質，給出了行（列）對稱矩陣的滿秩分解和正交時角分解公式，極大地減少了行（列）對稱矩陣的滿秩分解和正交對角分解的計算量與存儲量，且沒有降低數值精度。
  10. We define the rank of a matrix as the number of linearly independent rows which it contains.

    我們把這個矩陣的秩定義為它所包含的線性無關行的數目。
  11. A remark on rank identities of a class of matrices

    關於一類矩陣秩的恆等式注記
  12. Lastly, the dissertation designs a rank - reduced blind space - time 2 - d rake receiver using time extraction which has not only the capability of space - time equilibrium but also reduces the convergence time of adaptive array and the rank of correlated matrix of the received data

    最後，設計了一種時間抽取降秩盲空時2 - drake接收機。分析了其性能和參考信號的提取方法。該接收機不但具有空時均衡的能力，而且降低了陣列的收斂時間和接收數據相關矩陣的秩。
  13. Abstract : by comparing the channel capacities hetwem orthogonal space - time block coding and multi - antenna array system over rayleigh fading channel, some capacity loss for orthogonal space - time block coding is obtained, which is a function of the code rate, the rank of channel matrix and the number of transmitter and receive antennas, although the system of orthogonal space - time block codes is simple and easy to implemented. if is also shown that there is no capacity loss only if both the code rate and the channel matrix rank are all one

    文摘:在研究瑞利衰落條件下正交空時分組編碼通道容量的基礎上，將其與多發送多接收天線系統的通道容量進行了比較.比較結果表明，正交空時分組碼雖編碼簡單，易於實現，但在通道容量方面存在較大的損失，損失的程度與編碼碼率、通道矩陣的秩及收發天線數等因素有關.進一步研究表明只有當編碼碼率和通道矩陣的秩都為1時，才沒有通道容量的損失
  14. The generalized inverse of partitioned matrices and the expression of generalized inverse using maximal nonsingular submatrix are discussed

    摘要討論了分塊矩陣的廣義逆，以及用矩陣的滿秩子塊表示廣義逆。
  15. The full - rank matrix is employed to find the complex - valued weights between hidden and output layers by the least mean square algorithm

    利用這個滿秩矩陣，通過最小平方演算法就可以求得隱層和輸出層之間的復數權值。
  16. A. p. verbyla and w. n. venables ( 1988 ) extended the ordinary growth curve model into the extension of growth curve model and obtained an estimate of the unknown parameter matrix under the conditions that the matrix of observations follow multivariate normal distribution, where every design matrix has full column rank [ 7 ]

    A . p . verbyla和w . n . venables （ 1988 ）將gc模型進行了推廣，得到了推廣增長曲線模型（ theextensionofgrowthcurvemodel簡稱egc模型） ，並在觀察矩陣服從正態分佈，各設計矩陣均為列滿秩的條件下，給出了參數矩陣估計值的一種演算法。
  17. Taking the measurement matrix rank 4 as the constraint, we propose two methods to estimate projective depths iteratively : ( l ) the algorithm of estimating projective depths based on conjugate gradient method ; ( 2 ) the algorithm of estimating projective depths based on genetic algorithms

    以測量矩陣的秩為4作為約束，以仿射投影逼近透視投影，提出了以下迭代估計射影深度的演算法：基於共軛梯度法的射影深度估計演算法，基於遺傳演算法的射影深度估計演算法。
  18. The relationship between the rank of partitioned matrix and the one of submatrix is given with the partitioned matrix of the generalized inverse matrix, and the range of the rank of three matrices sum is obtained

    摘要用分塊矩陣的廣義逆矩陣給出了分塊矩陣的秩與子塊秩的關系，及三個矩陣和的秩的范圍。
  19. While flda only can get one optimal discriminating vector, by maximizing the fisher criterion, due to that the rank of the between - class scatter matrix is at most 1 for binary - class problem

    但類間離散度矩陣的秩最大隻能為1 ，決定了flda只能取一個判別方向（最大特徵值對應的特徵向量） ，無法利用其它方向的判別信息。
  20. This article has studied the anti - symmetric matrix contract with the matrix which has form ( * ), obtained the order of the anti : symmetric matrix is the even number and the sufficiont and necessary condition for the two anti - symmetric matrixs contraction

    摘要本文研究了反對稱矩陣與具有形式（ * ）的矩陣合同，得到反對稱矩陣的秩必為偶數以及兩個反對稱矩陣合同的充要條件。
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