@Simply Hiya

Heyo

I wrote SOAP up

yay!

show me!

oh, nvm. Found it!

:P

whoah whoah, complicated

X'D

It's the simplest function I could write who's growth rate was that fast.

geez

Is this your best one yet?

It's hard for me to tell :P

Better than PAIN?

WAY STRONGER THAN PAIN

@Nilknarf and no

There is stronger SOAP

Perhaps I'll call it DETERGENT.

...good luck turning that into an acronym.

BLEACH

XD

Bio-Luminescent Extra Array Character Horrors

Oh god, you're taking a long time to respond. Please don't tell me you're actually trying to turn DETERGENT into an acronym.

I did try

I got to the last E and gave up

Don't ask

Awwww

so clooose

X'D It was horrible

Wanna try expanding some SOAP?

Ok, but go easy on me

The more we rub, the more the SOAP turns to bubbles, and then we count the bubbles at the end x'D

You pick what you wanna work with

SHOOT, I missed a thingy

Never before in my entire life has anyone asked me "wanna try expanding some SOAP"?

D:

it's just one line of SOAP

Which is going to be terrible to fit in, thanks to the horribly golfed MathJax

XD

Hey, have you taken physics by any chance?

Fixed it

I've taken AP Physics 1 and Mechanics

I'm taking AP Physics E&M

Did you guys do circuits with resistors and stuff?

Yeah

We're doing that right now

Nice

and I love it :D

:D Yeah same

You in AP Phys 1?

or 2?

and wanna try expanding some SOAP in less than 20 minutes?

I'm in 1 right now, but it turns into physics 2 next semester

sure

Shall I choose the expression?

DETERGENT (Dastardly Eventually Terminating Extremely Rapidly Growing Explosive Nerdy Thing)

Btw, you think it'll be hard to get a 5 on the AP Phys exam?

@Nilknarf x'D Genious!

Welp, you're taking too long, so we're gonna do $g(\{-1\},2)$

Can't be too big, right?

Looks pretty innocent...

$=g(f(\{-1\},2,\{-1\},2),3)$

Blarg, sorry

I'm here

bad internet D:<

Oops, some typos

Fixed definition again

:-(

Where we use the f({x},...) rule

Not so terrible at all yet...

Meh, idk about the AP exam

Actually, I was planning on taking the AP Physics C exams this year as well (I've been doing independent study & calc along w/ my physics class)

I'm more worried about that

How'd you do?

Ugh, what a messy expansion!

This is also the first step that requires us to expand recursively

yucky

It'll probably take up a quarter of the page or so to finish the recursion

And g only managed to expand two steps

@Nilknarf I've been getting 5's

Yeah, that's what I thought

Take any AP Histories?

@Nilknarf They were pretty easy for me, but you'll probably have difficulty with the physics interpretations of calculus.

I hate history

I have AP US History this semester

Oh yeah, it's a lot harder

But even a 3 or 4 on an AP Physics C exam as a sophomore should look good on a college application XD

Got a 3 on US History

4's on the other 2

:| Either way, good luck mate

And don't let the physics fool ya

Yeah, that's pretty much how I'm feeling about histories

Haha ok

Now an interesting challenge...

ok

Prove that g is total

total?

damn, gtg

Time to wikipedia "total function"!

$g(x,n)$ is finite for every $n$ and some fixed $x$.

That's what I challenge you to prove

Oh, yeah

so basically that it's a function

defined everywhere

Ok, I'll try

:P Good luck and cya

consider the set of increasing functions from N to N under the partial ordering domination

can I embed omega_1 inside?

@LeakyNun :| Maybe.

@SimplyBeautifulArt why that face?