matrix rank 中文意思是什麼
matrix rank
解釋
矩陣秩-
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。 -
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。 -
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。 -
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。 -
When the moving platform is in horizontal posture, the rank primary element crout solution is employed and the analytic solutions of errors dispersion is extracted, the nonsingular coefficient matrix is also proved
當活動平臺處於水平姿態時，應用列主元crout分解法解出了誤差分佈解析解，並證明了系數矩陣是非奇異的。 -
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。 -
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。 -
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 -
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。 -
By the definition of incremental error quaternion in the propagation equation of the full rank covariance matrix is derived, consequently the singularity of the covariance matrix caused by the constraint on the quaternion normalization is maintained
並且通過定義增量誤差四元數，推導出滿秩空間中誤差協方差陣的傳播方程，解決了由於四元數正交約束所造成的協方差陣奇異性問題。 -
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。 -
Additive rank - one preserving surjections on hermitian matrix spaces
矩陣空間上保秩一的可加滿射 -
Linear operators preserving the minimal rank over matrix space
關于矩陣空間上保持極小秩的線性運算元 -
By using the method of error analysis of mbs, the identification equation of geometric error parameters is derived and according to the condition that the rank of coefficient matrix of error measurement equation group must be full, we can get 18 terms geometric error of 3 - axis nc machine tools and three displacement error and three position error
應用誤差辨識軟體，解得各測量點的十八個誤差參數，即每個運動方向的三個位移誤差和三個位置誤差，再根據實際情況獲得三項垂直度誤差，得到了所有的21項誤差。 -
The experimental system extract the low - level features of images such as hsv histogram, the texture got from coexistence matrix, color correlogram, and according to the characteristic of our image database, design the evaluation function such as the average rank ratio to evaluate and compare the performance of different integration of different features including semantic, and validate the active effect of feedback using experiment results
該原型系統提取了hsv直方圖、共生矩陣紋理、顏色相關圖等底層特徵，同時根據圖像數據庫的特點，設計了平均位置比值等評價函數對語義特徵與底層特徵的各種結合的檢索性能進行了比較分析，並對反饋效果進行了實驗驗證。 -
His students and cooperators construct geometric lattice by means of linear spaces, and discuss the geometric lattice that generated by various orbits or subspaces with the same dimension or rank under the action of classical groups over finite field. but the results on geometric lattice constructed by using matrices are very few. in the present paper, we construct geometric lattice with idempotent matrix
在國內，萬哲先與他的學生和合作者們利用線性空間的辦法，討論了在有限域上的典型群作用下，由各個軌道或相同維數和秩的子空間生成的幾何格。但是，利用矩陣構造幾何格結果很少。 -
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。 -
Two conclusions of matrix rank and its application
矩陣秩的兩個結論及應用 -
Proof of a class of matrix rank identities
一類矩陣秩恆等式的證明 -
Abstract : by applying the matrix rank method, in this note, the general expressions of the common least - square solutions to the matrix equations ax = c, xb = d is deduced, the extremal ranks of the common least - square solutions is obtained
文摘:通過使用矩陣秩方法，我們給出了矩陣方程組ax = c ， xb = d的公共最小二乘解的通解表達式，以及公共最小二乘解的極大秩和極小秩
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