What does R^d in last lines refer to

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http://sarielhp.org/papers/04/survey/survey.pdf

The image above is snapshot in the journal Geometric Approximation http://sarielhp.org/papers/04/survey/survey.pdf via Coresets .I could not figure out what is the R^d refers in it.

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It is the d-dimensional (real) euclidean hyper-plane $\mathbb{R}^d$