I have to draw the unit balls $B(0,1)$ in $\mathbb{R}^2$ with respect to several metrics, however I am not certain whether this means a unit ball centered at $(0,1)$ or at $(0,0)$? Thanks for your help, hopefully it is an easy question just the book I have uses different notation.
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2Center is $0$, radius is $1$, most likely (more properly written $B({\bf 0},1)$). – David Mitra Mar 02 '14 at 14:26
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I prefer writing the ball, centered at the point $p$ with radius $r$ as $B_r(p)$. – Andrew Kelley Mar 02 '14 at 15:44
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B(0,1) means the unit ball with center in (0,0) and with radius 1. But the unit ball need not always be a circle! In Euclid (usual) metric space it is a circle, but there are other metrics in which it takes other forms (see unit balls for metric spaces generated by 1 and maximum norms).
Emo
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