1617-257/TUT-R-12: Difference between revisions
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Comments from the tutorial on 12/1/16. |
Comments from the tutorial on 12/1/16. |
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Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was |
Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was by using Fubini's theorem. I OK'd this idea in the tutorial, but it is actually not OK. In order to use Fubini's theorem, one needs to know that the function in question is integrable (and that's exactly what the problem asks to do). I'm going to go with my original suggestion and suggest making estimates using some compact and rectifiable exhaustion for this function to do this question. |
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Another person gave an argument for how to do 15-8(b) which works fine if the function is continuous everywhere, but since there function may not necessarily be continuous everywhere, you do in fact need to use that it's locally bounded. |
Another person gave an argument for how to do 15-8(b) which works fine if the function is continuous everywhere, but since there function may not necessarily be continuous everywhere, you do in fact need to use that it's locally bounded. |
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Latest revision as of 19:32, 1 December 2016
Comments from the tutorial on 12/1/16.
Someone asked about how to do a problem from the currently assigned problem. A suggestion for how to show the integral exists was by using Fubini's theorem. I OK'd this idea in the tutorial, but it is actually not OK. In order to use Fubini's theorem, one needs to know that the function in question is integrable (and that's exactly what the problem asks to do). I'm going to go with my original suggestion and suggest making estimates using some compact and rectifiable exhaustion for this function to do this question.
Another person gave an argument for how to do 15-8(b) which works fine if the function is continuous everywhere, but since there function may not necessarily be continuous everywhere, you do in fact need to use that it's locally bounded.
Sorry about this missteps.
