View Full Version : Ryan's homework

Endymion

02-28-2005, 07:21 PM

sorry, don't know how to get paper from one point to another... have to post it here.

prove:

R(;i,j,k,l)=1/2*(d(;i)d(;k)g(;j,l)-d(;j)d(;k)g(;i,l)-d(;i)d(;l)g(;j,k)+d(;j)d(;l)g(;i,k))+g(;m,n)*({m;i ,k}{n;j,l}-{m;j,k}{n;i,l})

where {;,} denotes the christoffel symbol.

using that, prove the cyclicity of the riemann curvature tensor.

TheUnholyNightbringer

02-28-2005, 07:22 PM

Uhh.

I think I must have been off sick the day we did this.

ninth

02-28-2005, 07:22 PM

Forty-two.

JohnnyNemesis

02-28-2005, 07:24 PM

sorry, don't know how to get paper from one point to another... have to post it here.

Ha! Must admit, good one.

dirtybird

02-28-2005, 07:30 PM

sorry, don't know how to get paper from one point to another... have to post it here.

prove:

R(;i,j,k,l)=1/2*(d(;i)d(;k)g(;j,l)-d(;j)d(;k)g(;i,l)-d(;i)d(;l)g(;j,k)+d(;j)d(;l)g(;i,k))+g(;m,n)*({m;i ,k}{n;j,l}-{m;j,k}{n;i,l})

where {;,} denotes the christoffel symbol.

using that, prove the cyclicity of the riemann curvature tensor.

The answer to everything is either 6, 9, or pie.

Betty

02-28-2005, 08:38 PM

Ick, ick, ick. That looks terrible.

I think I'm gonna take advanced calculus next semester. (Infinite sequences and series of numbers, power series, tests for convergence; Taylor's theorem and Taylor series for functions of one variable; planes and quadratric surfaces; limits, continuity, and differentiability; partial differentiation, directional derivatives and gradients; tangent planes, linear approximation, and Taylor's theorem for functions of two variables; critical points, extreme value problems; implicit function theorem; Jacobians; double integrals, iterated integrals and change of variables.)

And I already know it is going to be like shooting myself in the foot.

Endymion

02-28-2005, 08:53 PM

betty, second/third semester calculus--although boring--is rather easy. the multivariable stuff is 90% doing the same stuff you already know, but two or three times. series are very simple. don't sweat any of it.

dude above--it's proving properties of tensors (in particular the riemann curvature tensor). are you being introduced to trig functions in the crude geometic way or the far more elegant way via generalized cyclic complex functions? i'm guessing the former...

Chris

02-28-2005, 08:55 PM

I think I got off easy with game theory then today

sKratch

02-28-2005, 09:01 PM

Ick, ick, ick. That looks terrible.

I think I'm gonna take advanced calculus next semester. (Infinite sequences and series of numbers, power series, tests for convergence; Taylor's theorem and Taylor series for functions of one variable; planes and quadratric surfaces; limits, continuity, and differentiability; partial differentiation, directional derivatives and gradients; tangent planes, linear approximation, and Taylor's theorem for functions of two variables; critical points, extreme value problems; implicit function theorem; Jacobians; double integrals, iterated integrals and change of variables.)

And I already know it is going to be like shooting myself in the foot.

That looks like a combination of calc 2 and calc 3... calc 2 is the harder one for sure.

I'm being introduced to the trig fuctions. i find it pretty easy. a helpful hint for these trig functions is SohCahToa. sin=opposite/hypothesis, cos=adjacent/hypothesis, tan=opposite/adjacent.

The trig you'll learn in calc will make the trig you learn in geometry seem like a total joke.

Endymion

02-28-2005, 09:12 PM

sin(x)=(e^ix-e^-ix)/2i

cos(x)=(e^ix+e^-ix)/2

i found calc2 easier than calc3...

the_GoDdEsS

02-28-2005, 10:58 PM

Hahaha, scary!

sKratch

02-28-2005, 11:05 PM

sin(x)=(e^ix-e^-ix)/2i

cos(x)=(e^ix+e^-ix)/2

i found calc2 easier than calc3...

Didn't you used to be obsessed with that? I think I recall a thread you made concerning how amazing it was that you can define trig functions that way...

Endymion

02-28-2005, 11:21 PM

Zim: Even as a small Irken Smeet, my dream was to pass Probing Day like a Slorbees passes her young: Jiggly, and full of juice!

oh, yeah, i was ;p

i spend my time with avida now.

sKratch

02-28-2005, 11:27 PM

Endy here's a joke you might appreciate:

What do you get when you cross a lion and an elephant?

The product of their magnitudes times the sine of the angle between them.

What do you get when you cross a lion and a mountain climber?

You can't, because the mountain climber is a scaler(ar)

har har yarde yar har har!

i had to invent a new laugh because it was so funnies

Endymion

03-01-2005, 12:17 AM

;p my little brother told me that one a couple days ago.

my favorite comes from our pope: your mama's so crazy she makes pi look rational!

sKratch

03-01-2005, 12:28 AM

wtf you never told me you had a little brother. does that change anything between us?

ps, excellent joke

sorry, don't know how to get paper from one point to another... have to post it here.

prove:

R(;i,j,k,l)=1/2*(d(;i)d(;k)g(;j,l)-d(;j)d(;k)g(;i,l)-d(;i)d(;l)g(;j,k)+d(;j)d(;l)g(;i,k))+g(;m,n)*({m;i ,k}{n;j,l}-{m;j,k}{n;i,l})

where {;,} denotes the christoffel symbol.

using that, prove the cyclicity of the riemann curvature tensor.

Is that the quantum version of women are evil math proof? I think so.

Titus

03-01-2005, 07:10 AM

The answer to everything is either 6, 9, or pie.

He is right

intothevalleyofdeath

03-01-2005, 07:12 AM

sorry, don't know how to get paper from one point to another... have to post it here.

prove:

R(;i,j,k,l)=1/2*(d(;i)d(;k)g(;j,l)-d(;j)d(;k)g(;i,l)-d(;i)d(;l)g(;j,k)+d(;j)d(;l)g(;i,k))+g(;m,n)*({m;i ,k}{n;j,l}-{m;j,k}{n;i,l})

where {;,} denotes the christoffel symbol.

using that, prove the cyclicity of the riemann curvature tensor.

what kind of math is this??

Ick, ick, ick. That looks terrible.

I'll just second that & run the hell out of here.

Your homework looks as un-appealing as my statistics book. Thing is, once I started actually reading my statistics book, it's not really difficult, but it's still bloody ugly.

sKratch

03-01-2005, 08:38 AM

holy shit. i don't think i could ever figure that equation out.

There's nothing to figure out...

wtf you never told me you had a little brother. does that change anything between us?

...good stuff. ;D

Endymion

03-01-2005, 08:53 AM

what kind of math is this??

tensors, for the general relativity class i'm taking.

and of course not, skratchy! i have two younger brothers... and a twin sister?

sKratch

03-01-2005, 08:57 AM

omggzzzz does she do DVDA?

i knew about the twin sister! naa naaa.

Trip Boy

03-01-2005, 10:00 AM

^ You avatar. Is she smelling her armpit?

Endymion

03-01-2005, 10:56 AM

i hope so, trip.

dvda? she's a computer science major, but she's not any good at it.

Trip Boy

03-01-2005, 10:57 AM

Dvda? Double vaginal double anal?

^ You avatar. Is she smelling her armpit?

just lifting both her arms up. its a small part of a big picture.

..you dont HAVE to understand that.

so yeah, she's smelling her armpit.

Trip Boy

03-01-2005, 11:48 AM

Ah ha! I love it. It's an ad for a new deodorant no?

sKratch

03-01-2005, 02:31 PM

Dvda? Double vaginal double anal?

Bingo.7890

ThatOneGuy123

03-01-2005, 02:46 PM

pie and pie equals mmmmmmm and mmmmmm equals shut the fuck up and shut the fuck up equals what u should do

sKratch

03-01-2005, 03:03 PM

No.

......

Trip Boy

03-01-2005, 03:10 PM

Yes.

......

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