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Do you need the implicit function theorem? Can you give an explicit charts?

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3 
Please post on math.stackexchange.com. It's a good question (because there are lots of different good answers) but not for here. – Deane Yang Jan 22 2011 at 15:36
3 
This is somewhat off-topic for MO. You should ask somewhere like math.stackexchange.com. – Qiaochu Yuan Jan 22 2011 at 15:37

closed as too localized by Qiaochu Yuan, Deane Yang, Mariano Suárez-Alvarez, Angelo, Willie Wong Jan 22 2011 at 16:33

1 Answer

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Euler angles give the parametrization and the charts.

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