It is shown that, if algorithms for performing the QR decomposition are free from calculation of square root, the related iterative refinement algorithms can also be square root free.

证明了：若用QR分解所作的算法无需计算平方根，则相应的迭代加细算法也无需计算平方根。

youdao

You don't have free rein in the Registry, but you do have access from a common root node for all your applications.

您虽然不能够对注册表自由控制，但您的确可以通过一个公共根节点访问所有的应用程序。

youdao

It provides the basis for dealing with the on-disk file system, as it defines the file system's managing parameters (for example, total number of blocks, free blocks, root index node).

它是处理磁盘上的文件系统的基础，因为它定义文件系统的管理参数(例如，块的总数、空闲块和根索引节点)。

youdao

Not content with that extraordinary achievement -- and not willing to trust in its permanence, Robert Krieble embarked on a heroic personal effort to consolidate freedom's victory by helping democracy and free enterprise take root throughout the former Soviet bloc.

CENTERFORSECURITYPOLICY: Center For Security Policy

But neither statistics nor judicial evidence substantiate the theory that free trade is the root cause of the violence against women.

FORBES: In Ciudad Juarez, NAFTA's Grisly Legacy

For example, only the Free Democrats are championing the root-and-branch tax reform that Germany needs, but they would be part of the (numerically pitiful) opposition, if they make it into parliament at all.

ECONOMIST: A grand-coalition cure for Germany?