Fubini Counterexample
Автор: Dr Peyam
Загружено: 2019-06-24
Просмотров: 10192
Описание:
Fubini's theorem states that, under certain assumptions, the double integral of f(x,y) dx dy is equal to the double integral of f(x,y) dy dx. In this video, I give an example where Fubini's theorem does NOT apply, by explicitly showing that for a specific function, the two integrals are unequal. This is why it's very important to check that the assumptions of Fubini's theorem hold. The idea is that the function has a bad singularity at (0,0), which makes Fubini's theorem fail. Enjoy!
Note: This video is the shortened version, where I skip a bunch of details. Here is the link to the full version: • Fubini Counterexample (full version)
Video credit: The counterexample is taken from: http://www.math.jhu.edu/~jmb/note/nof...
Повторяем попытку...
Доступные форматы для скачивания:
Скачать видео
-
Информация по загрузке:
