This proof uses only elementary properties of algebra and a cool induction idea
Пікірлер: 17
@tigeronion9 күн бұрын
The famous Cauchy proof. Nice!
@MyOneFiftiethOfADollar Жыл бұрын
Liked the how you "filled in the gaps" between powers of 2 informally, before you got to the formality of the induction proof.
@williampluim84422 күн бұрын
You're a beast. Thanks!
@kenchen9198Ай бұрын
thanks,this video helps me a lot❤
@torung9606Ай бұрын
omggg i love you !!
@darcash17382 ай бұрын
I never heard of em then I suddenly had to prove it 😂
@samkerr18266 ай бұрын
This guy is the Hans Neimann of Maths
@dddddd-jj5mdАй бұрын
lol
@user-qi4fq3gz6d4 ай бұрын
can you help?...when should we use iff symbol in our maths equation or proof etc
@thedeathofbirth0763 Жыл бұрын
Can you make another video and explain the general case a bit more in detail please. I could follow your reasoning till the general case. I really want to understand this. Thank you. Why the last term wasn't raised to (1/2^a) for instant?! Why you took n< 2^a in the first place, because to me it won't make it the general case but for the number of elements to be powers of two!
@ShefsofProblemSolving Жыл бұрын
We showed AmGm for all powers of two. Now the general case is that we take an n that's not a power of 2 and let is be less than some power of two. Now we take the thing we knew for powers of two that holds true and show that if we plug in a couple of identical values we'll get the inequality for n. That's the idea
@thedeathofbirth0763 Жыл бұрын
@@ShefsofProblemSolving I see, thank you for the time you took to explain it more clearly.
@ahmedlutfi48947 ай бұрын
wow the explanation is making alot of sense there is no blank spaces while following up
@user-tv3lc6eu2y2 жыл бұрын
My favorite proof uses Jensen's inequality (applying to concavity of ln x)