Such a great channel, like your style and the clarity of your voice, its fun to watch math while eating or on a bad day, or any at any time really! Keep up the good work! Greetings from Chile
3:23 this reminds me that it would be a good idea to have a lecture series which teaches people how to figure that out ahead of time. Just like all the other "How did you come up with that?" moments.
Hi, For fun: 1 "so let's may be go ahead and do that", 1 "so let's go head and", 1 "now I'll go ahead and", 1 "ok, great", 11:21 : "one is not equal to zero".
Problem sugestion! ( I know I already sent it in the last video, but I hope you will see this time!): "(Brazillian undergraduate olympiad 2019 ) Let R> 0 be the set of positive real numbers. Determine all functions f: R> 0 → R> 0 such that f (xy + f (x)) = f (f (x) f (y)) + x for all positive reals x and y.
Loving this series. I’m not actually taking this class but it’s a helpful addition of proofs etc to the math ‘repertoire’ I have
Such a great channel, like your style and the clarity of your voice, its fun to watch math while eating or on a bad day, or any at any time really! Keep up the good work! Greetings from Chile
3:23 this reminds me that it would be a good idea to have a lecture series which teaches people how to figure that out ahead of time. Just like all the other "How did you come up with that?" moments.
What happened with the rest of the proof after 8:07?
00:00 And thats a good place to start.
Thank You Michael
Where is the proof for the statement at 7:56?
10:40 error, shouldn’t it be (-n(1-x^2))/2 Edit: Sorry he is correct, he just forgot the nth power in the above line so it mislead me.
11:33
9:56 why the nth power was missing from the integral of fn?
hey michael nice job
Why isn''t it (1-x^2)^n in the last integral? Shouldn't that be 2nx(1-x^2)^n ?
Could you see the first question of "provaextramuros" of 2018 plz?
Hey there, I may be applying to Randolph this year, any tips?
Hey but you didn't prove that you can "pass de limit inside the integral", did you? You just prove that f is integrable.
Nice sir
Hi,
For fun:
1 "so let's may be go ahead and do that",
1 "so let's go head and",
1 "now I'll go ahead and",
1 "ok, great",
11:21 : "one is not equal to zero".
Problem sugestion! ( I know I already sent it in the last video, but I hope you will see this time!): "(Brazillian undergraduate olympiad 2019 )
Let R> 0 be the set of positive real numbers. Determine all functions f: R> 0 → R> 0 such that
f (xy + f (x)) = f (f (x) f (y)) + x
for all positive reals x and y.
Does that mean x and y can't equal 0?
@@ryszcl1673 yep
já sugeri esse problema tbm, é mt bom
11:33 good place to stop first
he looks like paul dirac
Looks like I really messed up my Analysis final exam by skipping uniform convergence 👉😅👉
Also, you forgot to raise (1-x²) to the nth power in the integral, but kept the power rule.