1617-257/HW-5: Difference between revisions

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'''J.I. graded problem 5 from section 8'''. Many employed the inverse function theorem (IFT) inappropriately here (injectivity is a requirement for the statement of the IFT - otherwise, the conclusion that the function in question is invertible doesn't make sense in the first place).
'''J.I. graded problem 5 from section 8'''. Many employed the inverse function theorem (IFT) inappropriately here (injectivity is a requirement for the statement of the IFT - otherwise, the conclusion that the function in question is invertible doesn't make sense in the first place). Among other things, one could have either delved into a proof of the IFT or argued that the function is locally injective so that one can employ the IFT locally.

Revision as of 17:11, 1 November 2016

J.I. graded problem 5 from section 8. Many employed the inverse function theorem (IFT) inappropriately here (injectivity is a requirement for the statement of the IFT - otherwise, the conclusion that the function in question is invertible doesn't make sense in the first place). Among other things, one could have either delved into a proof of the IFT or argued that the function is locally injective so that one can employ the IFT locally.