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arXiv 1306.1825math.MGmath.RA
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Clifford代数中计算的子空间夹角

Angles between subspaces computed in Clifford Algebra

Eckhard Hitzer

摘要:

我们首先回顾子空间之间的角度的定义,以及如何使用矩阵代数计算。然后介绍了子空间的Grassmann和Clifford代数描述。两个子空间的几何积以显式方式产生完整的相对角度信息。我们解释和解释的结果的几何产品的子空间获得因此充分的实际访问的相对取向信息。

英文摘要:

We first review the definition of the angle between subspaces and how it is computed using matrix algebra. Then we introduce the Grassmann and Clifford algebra description of subspaces. The geometric product of two subspaces yields the full relative angular information in an explicit manner. We explain and interpret the result of the geometric product of subspaces gaining thus full practical access to the relative orientation information.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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