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Based on the projection theorem in the finite-dimensional inner product space, by making use of the generalized singular value decomposition and the canonical correlation decomposition of matrix pair simultaneously, we transform the least-squares problems of the abovementioned inconsistent matrix equations into the problems of solving the consistent matrix equations over given matrix set, and obtain the general expressions of the corresponding least-squares solutions.

S使得‖-X~*‖=‖-X~*‖，其中‖·‖为Frobenius范数，S分别表示矩阵方程 AXB=D，AXA~T+BYB~T=D，AXB+CYD=E和矩阵方程组=，=在一般矩阵集合或对称矩阵集合上不相容时的最小二乘解集合。

As discussed above, cast iron will transform into super-hard material called Cementite at temperatures of around 650 – 700°C.

如同以上讨论，铸铁在大约高温摄氏650-700度的时候会转化成一种超级-硬的材质，我们称之为

Shijingshan It is not long before, and, into thinking that, because of the Zhuhai hotel and transform the cessation of business, there will be a better look.

石景山那早就不和以前那样了，以为改建过，珠海宾馆也因改造而停止营业了，期待更好的会出现。

I We present a characterization of equivalent chain graphs based on local transformations, and give an algorithm to transform one chain graph into an equivalent one.

链图可以含有有向边和无向边，因而能够反映相关关系和因果关系，我们主要讨论了三个问题。

They make it easy for corrupt Governments and warlords to transform innocent children into chillingly efficient killing machines.

它们使得腐败的政府和军阀很容易地将无辜的儿童变为令人寒心的高效杀人机器。

This artic le researches a fast algorithm which extends the system matrix of JD into b lock circulant ma-trix,then uses block Fourier transform and block circulant matrix to perform matrix inversion and operation s.

提出一种快速算法，将联合检测的系统矩阵扩展成块循环矩阵，利用块FFT和块循环矩阵进行快速矩阵求逆和简化矩阵运算。

Buffets tend to transform clearheaded adults into greedy children insisting, i want that.

小卖部这种地方通常会把一个头脑清楚的成年人变成一个任性贪吃的孩子，我要吃那个！

This paper use Mirror closed extension to solve the problem of end effect. Mirror closed extension maps the signal into a periodic signal of the ring through the mirror image method, and there is no endpoint, and fundamentally avoids the end effects of EMD and Hilbert transform.

针对这一。。。更多问题，本文利用镜像闭合端点延拓来抑制端点效应，闭合端点延拓法即用镜像法把镜内信号映射成一个周期性的环行信号，不存在端点，从根本上避免了EMD和Hilbert变换的端点效应。

The possibility to transform it into a closed set of coupled differential equations of motion is made to facilitate the numerical efficiency.

我们还对长期争论的问题，例如细致平衡原理和热库重整能量以及所对应的耗散动力学近似本质，进行了定性和定量分析，从而得到了明确的结论。

They understood how he would be able to transform it into something sublime, while another actor might reduce it to a cloying parable.

他们知道他不会像其他人一样把这个片子简单地表现为一个寓言故事，他拥有将该片演绎得更为丰富精彩的能力。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。