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arXiv · 1308.0311

On the partition of R^n by hyperplanes

Armen Bagdasaryan
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Abstract

The partitioning of space by hyperplanes in the context of discrete classification problem is considered. We obtain some relations for the number of partitions and establish a recurrence relation for the maximal number of partitions of R^n by m hyperplanes. We rederive an explicit formula for the number of components into which the space can be partitioned by m hyperplanes.

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Armen Bagdasaryan. 2013-12-13. On the partition of R^n by hyperplanes. https://arxiv.org/abs/1308.0311

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