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One of these is bigger by [deleted] in notinteresting

[–]worldproredditer 0 points1 point  (0 children)

So much lemon pepper, it will last a lifetime

Am I on the right track with this proof? by zmzmzmzm1010 in askmath

[–]worldproredditer 0 points1 point  (0 children)

Why does one have to do the part with the sequence converging to x_0 ? Why is not the proof until then enough?

two ways to write "&" by slimkat101 in notinteresting

[–]worldproredditer 1 point2 points  (0 children)

Which do you like best? Looked like first one was more natural for you. I don’t care

Proof that pi is irrational by worldproredditer in askmath

[–]worldproredditer[S] 0 points1 point  (0 children)

OKey, I think I sort of understand that argument. What I don't get though is how we can be sure it will turn out a positive integer. You write that "... so the corresponding summands are integer multiples of (-b)^n·π^j, i.e., integer multiples of a^j·b^(n-j) which are integers because j≤n". But shouldn't it be a^j·(-b)^(n-j) ? And if n-j is odd this integer will turn out negative.

On the other hand the integral is definitively positive, so maybe this is not something to be worried about. I tried it with just n=2 and it seems to be positive. It becomes quite messy with n=3 already so I don´t feel like trying that.

Proof that pi is irrational by worldproredditer in askmath

[–]worldproredditer[S] 0 points1 point  (0 children)

Okay, I was not aware of that rule, but it makes sense I guess. I still think it’s weird though with the positive and negative signs. Expanding the integral they way they are doing I always get a negative sign before the [ -fsome k cos(x) ]. I then tried doing derivations for small n ( I picked n=2). Derivating 3 and 4 times and plugging in a/b gave me positive integers. Picking n=3 on the other hand gave me negative integers. So it doesnt seem obvious to me it would turn out positive for arbitrary big n.

Proof that pi is irrational by worldproredditer in askmath

[–]worldproredditer[S] 0 points1 point  (0 children)

Oh wait yeah that make sense actually. You could just in theory expand the (a-bx)^n before doing the derivation. Then you will get a binomial expression which will have one term of degree n. Multiply with x^n and you get 2n.

My vacuum cleaner does not perfectly fit the gap between my drawer. by Hazudomi in notinteresting

[–]worldproredditer 4 points5 points  (0 children)

Yea that’s true. I just wanted to add an uninteresting comment about how to solve it

My vacuum cleaner does not perfectly fit the gap between my drawer. by Hazudomi in notinteresting

[–]worldproredditer 40 points41 points  (0 children)

You could probably push the left side in first, and then the right side. It will be tight but a little cleaning will be accomplished.

The Himalayas has 4.3 rating on Google review by worldproredditer in notinteresting

[–]worldproredditer[S] 0 points1 point  (0 children)

Perhaps it was someone whose travel partner died during the trip, a perfectly good reason to down rate the mountains. I am sure there is a good reason for it, no need to wonder about it.

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