查询词典 conformable matrices

Chapter 3 considers completion ofinverse M-matrices and its closure property under Hadamard product.

第三章研究了逆M-矩阵的完成和在Hadamard 积的封闭性问题。

Only two papers known to the author discussed the possible relationship between the estimates of Km and Vmax. Colquhoun (196 9) found a strong positive correlation between these estimates in a simulation study. Subsequently, Oliver (1970) examined this relationship by the asymptotic variance-covariance matrices. These simulation and mathematical analyses were based on the assumption that the substrate concentration is error-free, with the error confined to the reaction velocity. In addition, their work was confined to the several estimation methods.

就作者所知，在本研究发表之前仅有两篇文章讨论过估计值之间的相关性。1969年，Colquhoun通过计算机仿真，发现了估计值之间存在正相关关系，1970年，Oliver用渐近方差-协方差矩阵检验了这一点，但是他们的发现有很大的局限性，其一是限于仅反应速度的测量值有误差这一种情况，其二是限于某几种估计方法。

Such perturbations might be effected by square, pairwise comparison matrices, one per column of each data matrix.

这样扰动也许由正方形， pairwise 比较矩阵，一个影响每各个数据矩阵专栏。

As an application, we also describe the Jordan automorphisms of the algebra of upper triangular matrices over commutative rings, and give a sufficient and necessary condition for a commutative ring being connected.

作为应用，我们还刻划了交换环上的上三角矩阵代数的Jordan自同构，并给出了一个交换环是连通环的充要条件。

We prove that the Jordan semi-triple derivable maps of the algebra of all n×n matrices over a 2-torsion free commutative ring with unity is the sum of an inner derivation and A_φ, where A_φis the image of A underφapplied entrywise andφis an additive derivation over R.

证明了作用在一个包含单位元的可交换的2-无挠环上的矩阵代数上的拟三重Jordan可导映射是一个内导子与A_φ的和(这里A_φ是A在φ下逐点作用的像)。

Keep in mind that, as is the case with matrices, quaternion multiplication is not commutative!

紧记，矩阵在此种情况下，四元数的乘法是不可进行交换的。

When you combine these operations, the results are not commutative - the order in which you multiply matrices is important.

当你在组合这些操作的时候，矩阵的运算顺序是不可交换的，不同相乘顺序会导致不同的变换效果，这点很重要。

And then he respectively introduces the eigenvalues and the condition number of complex symmetric matrices.

再分别给出了复对称矩阵的特征值和条件数。

Thereby, these facts indicate that the SDE not only have better statistic properties but also have uniformly smaller mean square errors than ANOVAE in an available group of linear mixed models. The other significative following work is to generalize the idea of SDE to multivariate linear mixed model and obtain the SDE of variance component matrices which uniformly dominate the ANOVAE either.

对于含有一个随机效应的混合模型，目前文献中都仅讨论了方差分量的谱分解估计和ANOVA估计等价的充要条件，本文首次给出了方差分量的谱分解估计在均方误差意义下严格的优于ANOVA估计的理论结果，并推广到广义谱分解估计，从而说明谱分解估计不仅较ANOVA估计有更好的统计性质，而且在一类常用的模型下有更小的风险损失。

But these methods limited by the expense of computing fundamental matrices and trifocal tensors or of the nonlinear optimization involved in computing epipolar tangencies. Through the studies of the invariants of the single axis motions, computational theories have been developed in this thesis to provide practical solutions for the problem of structure and motion from fitting the corresponding points in the whole sequence to its conic locus or conics for short.

在最近的研究中，一些研究人员利用视觉几何的方法从非定标的图象中对单轴旋转运动进行分析，提出了利用基本矩阵和三焦距张量求解单轴旋转运动中的关键参数——旋转角度的算法，但是该算法需要计算一系列相邻2图象的基本矩阵和一系列相邻3图象的三焦距张量，由于每个基本矩阵的自由度为7，每个三焦距张量的自由度为18，导致算法参数数量非常之大。

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。