HL3 confirmed
Oh darnit, I knew something was wrong in there
Heh 
tf2 about 7 gigs of stuff but most of it is hats
Yup. xD
(Never Play Loadout if you don’t like nudity fps)
No class today 
Butt the first test starts tomorrow…
So, are we going to reach the 10,000 posts? Lol
Buttercourse
That is the only reason of this thread
Definitively, I won ;D
THIS IS THE LAST COMMENT.
TOPIC CLOSED.
//EOF.
This will be my win!
Let mathematics decide it! ;D
Define the following serie: S = 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1…
So, if the sum is one, I win, otherwise you must give another anwser and prove it is right.
My turn: S = 1 + (-1 + 1) + (-1 + 1) + (-1 + 1) + (-1 + 1) + (-1 + 1) + (-1 + 1)… = 1 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0… = 1
So, I won!
that serie can be defined with Σ((-1)^n) with n ∈ [2,∞[, and (-1)^∞ is an indetermination, there is no way to know if ∞ is even or odd
so your answer is wrong, it cant either be 1 or 0, it cant be calculated
edit: was thinking about 1+0+1+0+1+0+… my bad sorry
Uh…
I am confused :I
Sniper, thats is the point of that series. As that, this topic:
I can get any racional number I want with this sum:
S = 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 ......
S = 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 .......
----------------------------------------------------------
S + S = 1 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0........
2S = 1
S = 1/2Good, good, keep posting :3
* dosss is happy
My comment will be the last one, ha!
You shouldn’t play around with math, creating rules by yourself n stuff specially when they don’t really make sense.
S + S = Σ((-1)^n) + Σ((-1)^n) = 2S = 2Σ((-1)^n) = either 2 or 0
The calc you were trying to show was:
S + Σ((-1)^(k+1)); k ∈ [3,∞[ =
= Σ((-1)^n) + Σ((-1)^(k+1)); n ∈ [2,∞[ =
= (-1)^2 + Σ((-1)^k) + Σ((-1)^(k+1)) =
= 1 + Σ((-1)^k + (-1)^(k+1)) =
= 1 + Σ((-1)^0 * (-1)^k + (-1)^1 * (-1)^k) =
= 1 + Σ(((-1)^0 + (-1)^1) * (-1)^k) =
= 1 + Σ(0*(-1)^k) =
= 1 + Σ(0) = 1
In the back of my head, i vaguely remember something like this
nods in understanding while eating paste in a corner
* dosss is contemplating the universe while eating cereal
Hey Sniper, It wasnt me that defined that series, I am just playing with it and comparing it to this topic, as there will be no last comment:
It is an Divergent Alternating Series, and it’s very strange: