查询词典 matrices

Eliminating the restriction of the characteristic of field ,the forms of invertible linear operator preserving inverses of matrices over full matrix space with at least four elements are described.

去掉了域的特征限制，刻画了至少包含4个元素的任意域 F上的全矩阵空间Mn的保逆的可逆线性算子形式。利用保幂等的结论证明了f为Mn上保持逆矩阵的可逆线性算子当且仅当存在P∈GLn，使得f=εPAP-1，A∈Mn，ε=±1∈F；或者存在P∈GLn，使得f=εPATP-1，A∈Mn，ε=±1∈F

Zhan has determined the maximum and minimum numbers of positive entries of imprimitive irreducible nonnegative matrices with a given imprimitivity index. In this paper, we prove that if a positive integer is between the maximum and minimum numbers, then there exists an irreducible nonnegative matrix A with the given imprimitivity index and with the given number of positive entries.

非负矩阵是矩阵论中研究比较活跃的领域，不可约非负矩阵是比较重要的非负矩阵，本文分两部分，一部分主要在詹兴致教授的研究基础上研究了给定非本原性指标的不可约非负矩阵中非零元个数的连续性，肯定地回答了詹兴致提出的一个自然的问题。

The completely diagonalized Hamiltonian matrices of 3d2/3d8 ion configuration in the trigonal symmetry have been established by irreducible representation method. Taken into account the influence of the spin-spin coupling interactions omitted in previous publications, the spectra and the constants of crystal structure and zero-field splitting parameters of CsNiCl3 crystal and CsNiCl3: Mg2+ crystal are calculated and the influence of the doping to the spectra, the constants of crystal structure, zero-field splitting parameters and Jahn-Teller effect are studied. The results show that doping can change the structure of crystal which brings about the changes in the spectra and zero-field splitting parameters as well as Jahn-Teller effect.

应用不可约张量理论构造了三角对称晶场中3d2/3d8态离子的45阶可完全对角化的微扰哈密顿矩阵，在考虑了以前工作中被忽略的自旋-自旋耦合作用的基础上计算了CsNiCl3晶体和CsNiCl3：Mg2+晶体的基态能级、晶体结构、零场分裂参量和Jahn-Teller效应，研究了掺入Mg2+对CsNiCl3晶体的光谱、零场分裂参量及Jahn-Teller效应的影响和自旋单重态对基态能级的贡献，发现掺杂使得晶体结构产生畸变，从而改变晶体光谱的精细结构和零场分裂参量，不改变Jahn-Teller效应的分裂规律但改变分裂的大小。

The completely diagonalized Hamiltonian matrices of 3d2／3d8 ion configuration in the trigonal symmetry sites have been established by irreducible representation method. Taken into account microscopic magnetic interactions, the spectral fine structure, local structure and zero-field splitting parameters of V3+:α-Al2O3 and Ni2+:α-Al2O3 crystals are investigated as well as the influence of the doping.

应用不可约张量方法构造了三角晶场中3d2/3d8态离子的45阶可完全对角化的能量哈密顿矩阵，在考虑了微小磁相互作用的基础上计算了V3+：α-Al2O3和Ni2+：α-Al2O3晶体的光谱精细结构、晶体局域结构和零场分裂参量，研究了掺入Ni2+和V3+对α-Al2O3晶体光谱精细结构、晶体局域结构和零场分裂参量的影响。

Based on the theory of isomorphic mapping and singular value decomposition theorem, the maximum of the kernel Fisher discrimination criterion can be skillfully acquired by solving the minimum of its reciprocal in a small space, and the final solution is acquired without taking account of the null space and non-null space of the kernel within-class scatter matrices separately.

基于同构映射原理和奇异值分解定理，在一个更小的空间内将核Fisher描述准则函数的极大值问题转化为其倒数的极小值问题，使最终的解不需要分开考虑核类内散度矩阵的零空间和非零空间。

With the matrices recurrence method the analytical formulas to study the displacement and stresses of transversely isotropic layers, subjected to surface loading are derived.

然后，利用矩阵递推方法，求出多层横观各向同性地基在表面荷载作用下位移和应力的一般表达式。

Sparse encoding and amino acid property encoding prevailed in the field. Physicochemical properties such as hydropathy, flexibility, electronic charge concentration and the isotropic surface area of amino acids were picked up as input attributes. Evolution information which is embedded in BLOSUM matrices were tested in the paper.

通过对编码策略的探索，发现不同编码策略对预测准确率有较大影响，并发现基于进化信息的BLOSUM打分矩阵可以用于蛋白质定点突变稳定性预测，具有较高的预测准确率。

There are three constrained conditions on Poisson matrices, which is equivalent to Jacobi identity for vector fields.

在第二章，我们给定向3-流形上每个整体标架联系了一个Poisson矩阵。

This paper discusses and researches some special matrix, and mainly does following several aspects.First, The special products of some matrices, as Fan product, Kronecker product and Hadamard product, are discussed. Some little results such as the Kronecker product of normal matrix is still normal matrix are obtained.

本文对若干特殊矩阵进行了探讨和研究，主要作了以下几方面的工作：第一，本文对一些特殊矩阵的特殊积，如Fan积，Kronecker积，Hadamard积等进行了讨论，得出诸如正规矩阵的Kronecker积仍是正规矩阵等一些结果。

A new single image super-resolution reconstruction algorithm is presented based on projection. Using the Kronecker product of two matrices, the vector based observation model is converted to an equivalent matrix based model.

目前，已提出了各种图像超分辨率算法，其中较经典的有频域法、MAP方法、极大似然估计法、凸集投影P(CS方法以及基于相机成像模型的迭代算法[3]，近年又发展了基于小波l_4_、基于学习及基于识别等的新算法。

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％。