chickenhead
Duchess

[Edited on February 7, 2012 at 8:12 PM. Reason : /]

2/7/2012 8:12:33 PM

well at least this isn't lacking in taste

2/7/2012 8:14:04 PM

blasphemour

2/7/2012 8:14:48 PM

AntiJester

2/7/2012 8:20:12 PM

chickenhead

[Edited on February 7, 2012 at 9:00 PM. Reason : k]

2/7/2012 9:00:41 PM

d7freestyler, catalyst, JTMONEYNCSU, halfwit, colter, Fail Boat, [user]JustGotWickd[/user], BEAVERCHEESE, cynosural, O RLY, and KG

2/7/2012 9:05:22 PM

why does jtmoney no longer post?

2/7/2012 9:43:59 PM

yes, d7freestyler, catalyst, JTMONEYNCSU, halfwit, colter, Fail Boat, Førte, [user]JustGotWickd[/user], BEAVERCHEESE, cynosural, O RLY, and KG were all riding in a jeep cherokee on their way to arby's when they were struck by a train...all died instantly, except for Førte, who is in critical condition at wake med

2/7/2012 9:51:09 PM

antijester
duchess
chickenhead
ambrosia

antijester was decent, but he was a pretty big jew too.

duchess was nice, in a couple of my classes back in the day

ambrosia was really sweet.

i'd been friends with chickenhead since we were like 12. god that was so fucked up

those are proper eulogies. who else do i know... may add more

2/7/2012 10:01:44 PM

I fucking love chickenhead

god damn it

2/7/2012 10:02:51 PM

yeah she was awesome, but we were in a really bad fight when she died. our last time talking i think we both wished death on each other. shits beat up.

2/7/2012 10:04:36 PM

TIL jackleg has parted with more tdubbers than you will ever know

2/7/2012 10:06:32 PM

awesome thread, guys

2/7/2012 10:07:59 PM

Stiletto

I met him through the NCSU Ballroom team, spent time hanging out at a couple of competitions. We got to be friends and I liked running into him at cup of joes or talking on long bus rides home.

2/7/2012 10:08:38 PM

never met him... i'm not a suicide fan but i must say that his suicide note nullified how i felt about what he did. awesome

2/7/2012 10:10:20 PM

Duchess
[user]ambrosia[/user]

2/7/2012 10:11:55 PM

Before my long spiel, I should mention that the part on your work after you started using u' and du' is wrong: The antiderivative of e^f(E), where f(E) is some arbitrary function of E, is not generally (1/f'(E))e^f(E), even though it is true that the antiderivative of f'(E)e^f(E) is e^f(E).



First consider the transformation E=x^2/2.29; then the limits remain the same, 1.036E=(518/1145)x^2, sinh(sqrt(2.29E))=sinh(x), and 0.453E dE=(453/1145)x^2 dx.

Then the integral becomes the integral from 0 to +infinity of (453/1145)x^2*e^(-(518/1145)x^2)*sinh(x) dx.

--------Begin Failed Solution Attempt--------
Then in integration by parts, let u=sinh(x) and dv=(453/1145)x^2*e^(-(518/1145)x^2) dx.

Then du=cosh(x), and to find v, do another integration by parts, letting U=x and dV=(453/1145)x*e^(-(518/1145)x^2) dx.

Then dU=dx and V=-(453/1036)e^(-(518/1145)x^2).

Therefore, v=-(453/1036)x*e^(-(518/1145)x^2)+(453/1036)Int(e^(-(518/1145)t^2) dt,0,x).

Then our original integral is lim(uv,x->+inf)-(uv)(0)-Int(v du,0,+inf), so keeping in mind that u=(1/2)e^x-(1/2)e^-x...
...hmm, I see a problem, it looks like one of the terms will go off to infinity!

Notice that one term will be sinh(x)*(453/1036)Int(e^(-(518/1145)t^2) dt,0,x), in the limit as x->+inf; by the relationship at the top, the right factor becomes a finite positive number, but the left factor becomes infinite.

This must mean that I have a problem with my method, because as you can imagine, sinh(k*sqrt(E)) for constant k grows asymptotically as quickly as e^sqrt(E), which is more slowly than e^(-1.036E) reaches 0; then their product reaches 0 as quickly as e^-E, which is faster than E grows, in fact so quickly that the whole integrand also reaches 0 in exponential time, so the integral should be finite.
--------End Failed Solution Attempt--------

Let's go back to the step where u=sinh(x) and dv=(453/1145)x^2*e^(-(518/1145)x^2) dx; instead let's try u=x*sinh(x) and dv=(453/1145)x*e^(-(518/1145)x^2) dx.
Then du=sinh(x)+x*cosh(x) dx and v=-(453/1036)e^(-(518/1145)x^2).
Then the antiderivative is -(453/1036)x*sinh(x)e^(-(518/1145)x^2)+(453/1036)int(sinh(t)e^(-(518/1145)t^2)+t*cosh(t)e^(-(518/1145)t^2),0,x).

Now for the first term in that "int"-egral...letting U=e^(-(518/1145)t^2) and dV=sinh(t) dt, dU=-(1036/1145)t*e^(-(518/1145)t^2) dt and V=cosh(t), so the antiderivative becomes cosh(x)e^(-(518/1145)x^2)+(1036/1145)int(t*cosh(t)e^(-(518/1145)t^2) dt,0,x).
Now for the second term in that same "int"-egral...letting w=cosh(t) and dz=t*e^(-(518/1145)t^2) dt, dw=sinh(t) dt and z=-(1145/1036)e^(-(518/1145)t^2), so the antiderivative becomes -(1145/1036)cosh(x)e^(-(518/1145)x^2)+(1145/1036)int(sinh(t)e^(-(518/1145)t^2) dt,0,x).

If we denote 1036/1145 by k, then the second sentence means "so the antiderivative becomes -(1/k)cosh(x)e^(-(k/2)t^2)+(1/k)int(sinh(t)e^(-(k/2)t^2) dt,0,x)" and the first sentence means "so the antiderivative becomes cosh(x)e^(-(k/2)x^2)+k*int(t*cosh(t)e^(-(k/2)t^2) dt,0,x)" (to make it all cleaner).
Now there is one more integration by parts to do; if W=cosh(t) and dZ=t*e^(-(k/2)t^2) dt, then dW=sinh(t) dt and Z=-(1/k)e^(-(k/2)t^2), so that integral becomes -(1/k)cosh(x)e^(-(k/2)x^2)+(1/k)int(sinh(t)e^(-(k/2)t^2) dt,0,x).
Substituting back, some terms cancel out in "the first sentence" to yield just the innermost integral, int(sinh(t)e^(-(k/2)t^2) dt,0,x); then adding that to "the second sentence" yields the entire expression in that "int"-egral that I referred to earlier: -(1/k)cosh(x)e^(-(k/2)t^2)+(1+1/k)int(sinh(t)e^(-(k/2)t^2) dt,0,x).

Now wrapping up all the integrations by parts and back-substitutions so far, the antiderivative is
-(453/1036)x*sinh(x)e^(-(k/2)x^2)-(1/k)cosh(x)e^(-(k/2)t^2)+(1+1/k)int(sinh(t)e^(-(k/2)t^2) dt,0,x); this last unresolved integral does not appear amenable to integration by parts, and I don't quite know how to attack it, but when you evaluate the limit as x->+inf, that becomes finite. As for the two terms outside the integral, a similar asymptotic analysis shows that they go to 0 as x approaches 0 or +inf, so really what you're left with is (1+1/k)int(sinh(x)e^(-(k/2)x^2) dx,0,+inf), whatever that is.


I'm Krallum and I approved this message.

2/7/2012 10:14:17 PM

ambrosia
antijester
chickenhead

2/7/2012 10:21:12 PM

xtine
o yea and chickenhead a long time ago once in passing

[Edited on February 7, 2012 at 10:23 PM. Reason : d]

2/7/2012 10:22:19 PM

Stiletto was in my class in high school. Usually ran into him on the bus in college

2/7/2012 10:24:00 PM

Is Stiletto's suicide note posted anywhere on TWW?

2/7/2012 10:24:32 PM

if my memory still works, it said "so long, and thanks for all the fish"

ha

2/7/2012 10:26:35 PM

2/7/2012 10:26:35 PM

ahahahaaha

2/7/2012 10:26:59 PM

^^
I don't read Latin.

2/7/2012 10:31:44 PM

How did these people die? I remember the traffic light fell on Duchess' head, and Stiletto killed himself. Don't know about the others

2/7/2012 10:32:55 PM

Stiletto

2/7/2012 10:37:50 PM

i never heard the official cause, but i talked to her dad at great length and know that chickenhead was huffing air duster. she bought 3 cans on like friday afternoon and no one saw her for a few days, then they found her dead in her room.

she knew how stupid it was, but i think it was accidental and not suicidal.

2/7/2012 10:42:46 PM

that reminds me -- what ever happened to the Nice Shirt Gaywad thread?

2/7/2012 10:44:09 PM

[Edited on February 7, 2012 at 10:59 PM. Reason : VV lol, DAMN YOU PARODY THREADS!!!!]

2/7/2012 10:54:21 PM

...those people aren't dead

2/7/2012 10:56:10 PM

wrong thread!

2/7/2012 10:56:59 PM

met ambrosia once. guess that's my2cents

2/7/2012 10:58:26 PM

Ambrosia :-(

Duchess once in passing.

2/7/2012 11:03:09 PM

I met ambrosia on several occasions, she was nice

2/7/2012 11:03:28 PM

ambrosia1231 moved in with me when she was having a hard time


and she let me live with her when I was having a hard time

2/7/2012 11:04:33 PM

this thread is a bummer

2/8/2012 4:23:12 AM

AntiJester was a close friend of mine from high school

we all went off from our small town to state college

2/8/2012 4:25:29 AM

2/8/2012 7:22:50 AM

Ambrosia... I sold my sister's car to her and met her a time or two besides that. Always got a positive impression of her.

2/8/2012 7:24:49 AM

AntiJester and i were friends.

ambrosia1231 was also a good friend.

2/8/2012 8:29:53 AM

chickenhead
Duchess
ambrosia1231

2/8/2012 8:33:41 AM

Duchess

2/8/2012 9:18:42 AM

Quote :

"AntiJester and i were friends."

2/8/2012 9:26:05 AM

this thread has a sad.

2/8/2012 9:27:21 AM

bttt

7/17/2017 11:31:56 AM

ambrosia. saps. maybe a few others in passing. (no pun intended.) death sucks.

7/17/2017 11:49:54 AM

before or after they died?

7/17/2017 12:49:45 PM

antijester - I met him through Snewf. He was the first person to die during my time at NCSU.

chickenhead - I knew her from Sammy's and would join Team Morphine for trivia night there.

ambrosia - We got close at one point. We had a fight about something stupid and she stopped talking to me. Before her death she apologized for the fight and we were on good terms but never really became close again. I hate that things happened the way they did but I am at least happy that we 'made peace' before she left us.

saps852 - I knew him from parties. He was a good guy.

BigBlueRam - I first met him when some friends and I went offroading and got stuck. He showed up (in his big blue Ram) to pull us out.

7/17/2017 5:11:56 PM

Met Saps twice in like 2004. Doubt he remembered me. That's about it. I don't know too many people from TWW IRL.

7/18/2017 10:02:53 AM