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. Author manuscript; available in PMC: 2012 Oct 1.
Published in final edited form as: J Stat Phys. 2011 Oct 1;145(2):265–275. doi: 10.1007/s10955-011-0269-9

Fig. 2.

Fig. 2

The functions hα (αi), h̃α (αi) and its derivative, h∼α′(αi), for coordinates that have (a) two (α → x), (b) one (α → r) or (c) zero (α → θ) boundaries.