This paper analysises the left-semi-tensor product,which is a new operation of matrices,obtains some new properties and important conclusions.
对左半张量积,矩阵的一种新的运算,进行了研究,获得了一些新的性质,得出了一些重要的结论。
First,the inequalitiy for the eigenvalues of the left-semi-tensor product of twocomplex matrices are obtained.
首先给出了任意两个复矩阵做左半张量积的特征值的不等式,然后给定两个(半)正定矩阵A、B以及它们的特征值,给出了矩阵A、B的左半张量积的特征值不等式以及一个精确估计,得到了一个不断缩小A×lB特征值的下、上限间距离的方法。
Some problems about rank of left semi-tensor product of matrices
关于矩阵左半张量积秩的问题
This paper proposes a new matrix product,namely,extensive-tensor product by widening left semi-tensor product which is introduced by Professor Dai-zhan Chen in paper[7].
通过对程代展教授在文献[7]中提出的左半张量积的概念进行推广,得到了一种更为普遍的矩阵乘法,称做泛张量积。
Fuzzy Automaton Composition and Its Application Based on Tensor Product Algorithm
基于乘积张量算法的模糊离散事件系统自动机组合及应用
The dot product, being the product of three scalars, is a scalar.
点积是三个标量的乘积，所以是个标量。
The number or quantity obtained by multiplying two or more numbers together.
积，乘积两个或两个以上数字相乘得到的数或量
The product is the inner product of x and y.
这个乘积是向量x与y的内积。
The volume V is given in terms of the scalar triple product.
体积V能用数量三乘积表示。
a real number (a scalar) that is the product of two vectors.
等于两个矢量乘积的实数（一个纯量）。
Promotion of a Left Semi-tensor Product-Extensive-tensor Product and Its Property
矩阵左半张量积的推广——泛张量积及其性质
Dual Toeplitz Operators and Products of Hankel Operators in the Several Complex Variables;
多变量的对偶Toeplitz算子及Hankel算子乘积
A Research of the Univariate-Multiplicative Error Model and Its Empirical Analysis
单变量乘积误差模型(MEM)的研究和实证
He incorrectly used the product of velocity and weight to define momentum.
他错误地将动量定义为速度与重量的乘积。
Just as linear momentum is the product of mass and velocity, so the angular momentum of a body is defined as the product of its moment of inertia and its angular velocity.
正如线性动量是质量和速度乘积一样，物体角动量也定义为其惯性矩和角速度的乘积。
Returns covariance, the average of the products of paired deviations
返回协方差，即每对变量的偏差乘积的均值。
Returns covariance, the average of the products of deviations for each data point pair in two data sets
返回协方差，即每对变量的偏差乘积的均值
The product of a quantity and its perpendicular distance from a reference point.
力矩一个量和从参照点到它垂直距离的乘积
THE GENERALIZED LEAST SQUARES DECONVOLUTION METHOD IN COMPTON PROFILE MEASUREMENT
康普顿轮廓测量中的广义最小二乘法退卷积
The Application of Multiplicative Seasonality ARIMA Model in Energy Yield Forecast;
乘积季节模型在能源生产量预测中的应用
Dimension and Measure of Admissible Kneading Sequences with Product Metric
允许揉搓序列在乘积度量下的维数和测度
Strong Limit Theorems of Weighted Product Sums for Arrays of NOD Random Variables
NOD随机变量阵列加权乘积和的强极限定理