查询词典 matrices

The family of quaternions plays a role in quantum physics, geostatics, control theory and peg-top technology. It is important to know and research quaternions as the development of quaternions. Thus the real representation of quaternion matrices has been appeared.

近年来，四元数矩阵在刚体力学，量子力学，控制理论和陀螺技术中的应用日趋重要和广泛，随着上述四元数力学的不断发展，对四元数矩阵的进一步认识和研究就显得越来越重要。

And find that each element in the group can be decomposed into the product of two quaternion component matrices.

指出SO(4)群中每个矩阵都可以分解为两种单位四元数分量矩阵乘积的形式。

On the other hand, we introduce the convergence theories for generalized alternating method, parallel synchronous iterative methods and parallel alternating synchronous iterative methods when the coefficient matrix are Hermitian positive definite matrices.

接着，讨论了当系数矩阵是Hermitian正定矩阵时广义交替迭代法，并行同步迭代法，并行交替同步迭代法的收敛理论。

Obtaining a better algorithm for solving the Traveling Salesman Problem by applying Hungarian method of assignment problem to it and by adding largely positive numbers in place on a matrix to construct the efficiency matrices .

将指派问题的匈牙利解法用于货郎担问题，通过恰当地添加大正数构造效率矩阵，得到了计算货郎担问题较快的算法。

We show several necessary and sufficient conditions for the invertibility of commutator of idempotent and involutory matrices.

研究了复数域上两个n阶幂等矩阵P与Q的换位子PQ-QP的可逆性问题。

One construction of Cartesian authentication codes from the normalform of Idempotent matrices over the field Fq is presented.

本文利用有限域上幂等阵的相似标准形，构造了一个Cartesian认证码，并计算出该码的所有参数。

Having found quite by chance that some solution matrices of Dirac are square roots of 4 × 4 identity matrix.

偶然发现了一些与Dirac方程的解有关的矩阵是4×4单位矩阵的一种特殊形式的平方根。

You can think of an identity matrix for matrices as being the number 1 for scalars, or regular numbers.

你可以把一个单位矩阵认为是数字标量1或者是一个正规数。1乘以任何数还是等于数本身。

Based on a brief review on developments of number system, a new developed pattern is proposed. The quaternion is extended to a matrix form aI+bA+cB+dC, in which the identity matrix I and three special matrices A, B, C correspond to number 1 and three units of imaginary number i, j, k, respectively.

在数系发展的基础上，提出了一种新的发展模式：四元数推广为矩阵形式aI+bA+cB+dC，其中单位矩阵I和3个特殊矩阵A，B，C分别相应于数1和虚数单位i，j，k。

Compared with the previous polynomial interpolating method, this method can avoid ill-conditioned matrices in the process of the calculation and obtain more accurate values.

相比于以前介绍的多项式方法，此方法不但能避免矩阵的病态，而且提高了计算的精度和效率。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。