查询词典 conformable matrices

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。

Using Fourier expansion, Laplace transforms and Hankel transforms with respect to the circumferential, time and radial coordinates, respectively, the partial differential equations are reduced to a set of ordinary differential equations. Transfer matrices for this situation are derived and explicitly solved.

利用Fourier级数和Laplace-Hankel变换，将该状态变量方程转换为两组一阶常微分方程组，提出了有限层饱和多孔介质空间非轴对称Biot固结问题的传递矩阵，得到饱和多孔介质空间非轴对称Biot固结问题在状态空间中的解。

Semiparametric generalized linear model; smoothing spline; GCV; CV; statistical diagnostics; Cook distance; local influence; influence matrices; Laplace expansion; Score test statistics; variance component testing; dispersion parameter; random effects; longitudinal data.

基础科学，数学，概率论、数理统计半参数广义线性模型；光滑样条； GCV法； CV法；统计诊断；广义Cook距离；局部影响；影响矩阵； Laplace展开； Score检验统计量；方差成分检验；离差参数；随机效应；纵向数据

This paper shows that the Lebesgue measure of the singular matrices in R\+\{n×n\} is zero.

证明了 n阶实矩阵集合中奇异矩阵集合的勒贝格测度等于零，n维实空间中 m个随机向量线性无关的概率为

And then, this paper presents an algorithm of computing the left inverse or right inverse for these special rectangle matrices. In thenormal algorithms for solving these problems, we need O(m2n) multiplications ordivisions. The algorithms in this paper only need O + O(n2) multiplications ordivisions. The paper is built as follows.

常规的计算m×n阶不相容线性方程组的极小范数最小二乘解的算法所需计算量为O(m~2n)，而本文根据特殊矩阵的特殊结构，通过两种不同的构造方式给出了两类不同的计算极小范数最小二乘解的快速算法，并给出了求特殊矩阵的左逆及右逆的快速算法，它们的计算量均为O+O(n~2)。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。