Simply Beautiful Art's realm of calculus and analysis

Simply Beautiful Art

12:03

Man, too lazy to try and do this stuff

Abra

12:20

what's up here.

dang, always this life lasting game.

Simply Beautiful Art

lol

Abra

@simply have you seen my jfiddle.

i'v conjectured a couple of things lately.

Simply Beautiful Art

:o no, please show

Mr. Xcoder

hello folks

Simply Beautiful Art

Hey @Mr.Xcoder

You should play antimatter dimensions with me

Mr. Xcoder

12:23

?

Simply Beautiful Art

ivark.github.io

Abra

@simply if you remove the additions from the firsmost cases of the table, then fill in the gaps what would you remark ?

Mr. Xcoder

What should one do in that game?

Simply Beautiful Art

@Abra what do you mean?

@Mr.Xcoder reach infinite (10^308) antimatter.

Mr. Xcoder

Oh... Nice

Abra

12:24

the multiplicative+androgyne numbers just form a basic sequence of prime gaps constructed from primes that were in the origin table.

Simply Beautiful Art

x'D I've made it up to like 10^170

Mr. Xcoder

I made it up to... 20 so far :P

Abra

which means the remaining numbers are either primes or multiplications of an existing prime and a non existing one.

Simply Beautiful Art

@Abra Mhm

Mr. Xcoder

@SimplyBeautifulArt It's really interesting :)

Abra

12:26

the problem is, prime gaps are unexpected, this is where i'm stuck.

Simply Beautiful Art

@Mr.Xcoder I personally have found spamming the "max all" button to be effective.

@Abra x'D Yeah

Mr. Xcoder

Yup That's kinda like what I am doing too

1.10 % :)

Simply Beautiful Art

@Abra bounty on my question in about 10 hours

@Mr.Xcoder I got to ~ 55%

It's a logarithmic scale against infinity. log_10(current antimatter)/308

Mr. Xcoder

It is highly addictive

Simply Beautiful Art

It is

Your welcome

Abra

12:28

@SimplyBeautifulArt perfect! but i just think of this question as a challenge to my mind, not caring about notes anymore :)

Mr. Xcoder

Thanks

Abra

i would still be interested in bounties though.

Simply Beautiful Art

@Abra yeah, but it seems bounty worthy

:P

Abra

@SimplyBeautifulArt IT IS

Simply Beautiful Art

:-)

I sure make weird questions

Which reminds me to ping @Leaky

Abra

12:30

brb i need coffe to fuel my mind ....

Mr. Xcoder

Lol my first dimension is at 1000 and my third is at 5

Abra

here is my recent fiddle for people of concern.

Simply Beautiful Art

@LeakyNun $$C(\alpha,0) = \{0,1,\omega,\omega_1\} \\ C(\alpha,n+1)=C(\alpha,n) \cup\{ \gamma+\delta,\gamma\cdot\delta, \gamma^\delta, \psi(\eta): \gamma,\delta,\eta\in C(\alpha,n), \eta<\alpha\}\\ C(\alpha)=\bigcup_{n<\omega} C(\alpha,n) \\ \psi(\alpha)=\min\{\gamma\notin C(\alpha)\}$$

@Mr.Xcoder :P

Leaky Nun

@SimplyBeautifulArt what is thy bidding?

Mr. Xcoder

Now it is going rapidly :D

Simply Beautiful Art

12:33

@LeakyNun Ordinal collapsing function above

@Mr.Xcoder :P Get a reset soon and see everything become boosted

Mr. Xcoder

Haha, I boosted my fourth dimension

Simply Beautiful Art

@Leaky you may notice this ordinal collapsing function is fairly similar to the function I posted on math.SE

Leaky Nun

@SimplyBeautifulArt please check my function

Simply Beautiful Art

@Mr.Xcoder Nah, I mean boosts come after you unlock the 8th dimension, which is like super expensive.

@LeakyNun Fine, but later

Mr. Xcoder

I got it, but I had 0 on my fourth and now I got 5

So is it worth it doing a dimension shift?

Simply Beautiful Art

12:38

Yes @Mr.Xcoder

Hm, so the first dimension can be thought of as t^1

Second dimension is like t^2

Mr. Xcoder

Cool, then I'll be upgrading my fourth

Simply Beautiful Art

etc.

4th dimension produces 3rd dimensions

Mr. Xcoder

What the hell does 1 T mean? 1 trillion?

Simply Beautiful Art

Yeah

You should enable cancer notation

Mr. Xcoder

Hehehe

Simply Beautiful Art

12:39

It's under options

And you get an achievement for reaching the antimatter galaxies multiple times with cancer notation on.

Mr. Xcoder

Ok, enabled cancer

Simply Beautiful Art

That just sounds so horrible to say x'D. "cancer notation".

But it's just some annoying emojis

Mr. Xcoder

It's nice to pay in trees xD

Simply Beautiful Art

@Abra say, think you could try calculating $\psi(6)$ in your js?

I suspect that it is smaller than 10000

So you could try cutting off anything greater than that.

Mr. Xcoder

... ;-; I must get 10 T now

Simply Beautiful Art

12:43

lol

Mr. Xcoder

And I am getting 1 B antimatter/second :D

Simply Beautiful Art

Btw, each time you buy x10 of a dimension, it gets a x2 boost

Mr. Xcoder

I realised waiting for the 'Until' Button is quite effective.

What is your percentage now?

Simply Beautiful Art

Percent to infinity?

Probably only around 50.

Mr. Xcoder

ok

Simply Beautiful Art

12:45

I've got the game on another computer, which isn't on right now...

plus the save key is gigantic

Mr. Xcoder

True

yay I got 1T... 9 more to go

Simply Beautiful Art

lol

Interestingly, though the game plays while you're offline, it doesn't help that much

Since the game requires you to get exponentially high amounts of antimatter, but it only gives you polynomial growth to work with

Mr. Xcoder

Yeah because you cannot increase the growth rate while offline

Simply Beautiful Art

You can with autobuyers, but you need to play for a long time to get that...

Mr. Xcoder

I think

Oh

Simply Beautiful Art

12:49

x'D

After all the boosts I've done

I can get up to about 10^100 in less than 5 minutes

Mr. Xcoder

I just got a message in that top bar which said Tronald Dump xD

Simply Beautiful Art

x'D

> Make the Universe Great Again

Mr. Xcoder

I wonder what the optimal time for finishing this is...

Simply Beautiful Art

'completing'?

You see the antimatter galaxy button at the bottom?

Mr. Xcoder

No I don't think so

Simply Beautiful Art

12:51

You're expected to reach that 8 times to get one of the achievements.

Mr. Xcoder

> Antimatter Galaxies: requires 80 Eighth Dimensions

Yay I got the reset!!!

Simply Beautiful Art

For me it requires 140 Eighth dimensions

I've already got the first antimatter galaxy

Mr. Xcoder

But the button doesn't work whyyyyy

Done

Simply Beautiful Art

What button doesn't work?

Mr. Xcoder

The reset for a new dimension

Simply Beautiful Art

12:53

:P

11 hours ago, by Simply Beautiful Art

That's me last night

Mr. Xcoder

My new percentage to infinity is 1 after I had 4 ;-;

Simply Beautiful Art

;-; that's life

There's a fun achievement to reach infinity using only the first dimension >_>

Mr. Xcoder

But it rapidly gets better... until I will reset again

@SimplyBeautifulArt That would take millenia

Simply Beautiful Art

No it wouldn't

Mr. Xcoder

Well that was metaphoric...

Simply Beautiful Art

12:56

The time reset allows you to get exponentially faster antimatter

At the cost of exponentially faster prices

Mr. Xcoder

Yay I unlocked the fifth dimension

Simply Beautiful Art

nice

Mr. Xcoder

> Fifth dimension antimatter punch

Simply Beautiful Art

13:23

Man

My room has been busy lately

@TheSimpliFire Hello and welcome to my realm

60% of the way to infinity!

Mr. Xcoder

Haha... I unlocked dimension 6

Simply Beautiful Art

:P

Mr. Xcoder

@SimplyBeautifulArt Are you going to reset the dimension again when you're at 60%?

Simply Beautiful Art

Ofc I am x'D

Mr. Xcoder

really? ~~facepalm~~ Good luck!

Simply Beautiful Art

13:31

I catch up to where I'm at in about 2 hours time

Mr. Xcoder

I wouldn't if I were you

Simply Beautiful Art

:P Wait till you see the power of reseting

Mr. Xcoder

I did reset 2 times already

Simply Beautiful Art

No

Mr. Xcoder

Also IMO dark mode is 1.33e189 times better

Simply Beautiful Art

13:32

I mean after you unlock the 5th dimension

Lol

Okay

Mr. Xcoder

I unlocked the sixth already

Simply Beautiful Art

Oops

I meant to say "after you unlock the 8th dimension"

Mr. Xcoder

oh no not hotdog :P

Simply Beautiful Art

And christmas theme is better

@Mr.Xcoder lmao

Go to import

And put in "Christmas"

Mr. Xcoder

Woooho the growth rate of my 5th dimension is higher than my 1st dimension :P

Simply Beautiful Art

13:46

:P

There's an achievement for having 8th dimension > 7th dimension > 6th dimension > ...

Mr. Xcoder

They got swapped, unfortunately

I reached the > Qt - size

Hopefully getting Sx soon

Simply Beautiful Art

13:59

Hello and welcome to my realm @JackR.

@Mr.Xcoder I'm at 10^200

> If every antimatter were a planck volume, you would have enough to make 3.30e16 observable universes.

oh

x'D

Abra

14:37

@SimplyBeautifulArt wait i'm tracking the gaps.

they are gradually larger just like usual prime gaps, but one significant gap, includes our famous $\phi(x)$

Simply Beautiful Art

:O

Abra

Also i will tell the program to remove the redundancy, like 0->9,12,16

3 data instead of 9+2 elements, this makes larger tables readable

Abra

17:23

boom, a stram of intuitive thoughts ....

Simply Beautiful Art

stream*?

Abra

ya, a torrent .....

the problem is still lying on the problematic basis of either being or not able to generate n>6 in a reasonable time, and size.

Leaky Nun

17:48

> Antimatter has made time travel possible and I'm here to make the past great again. - 2nd President of the World

Simply Beautiful Art

Hey @LeakyNun

Leaky Nun

does that mean trump is the second-to-last president in US...

@SimplyBeautifulArt please do my function :/

Simply Beautiful Art

I have a second antimatter galaxy

Oh right x'D

7 hours ago, by Leaky Nun

$\delta(x,0,0) = 0$
$\delta(0,y,0) = y$
$\delta(x,y,0) = \sup\limits_{a<x\\b<y} \delta(a,\delta(x,b,0)+1,\omega)$
$\delta(x,y,z) = \sup\limits_{c<z} \delta(x,\delta(x,y,c)+1,c)$

@LeakyNun Why the domain restriction?

Leaky Nun

@SimplyBeautifulArt ignore it

but the intended domain in the third argument is still $\omega+1$ :P

Simply Beautiful Art

$\delta(x,0,z) =\delta(x,\delta(x,0,c)+1,c)$

Abra

17:54

what is the subject ?

Simply Beautiful Art

Ordinals

You know about ordinals?

Abra

yes

but which question ?

Leaky Nun

@Abra click the link

Simply Beautiful Art

Oh, Leaky just wants me to figure out his function

@Abra Do you like really large numbers?

large and finite numbers

Abra

big ints ?

like in java ?

Simply Beautiful Art

17:55

No

20

Q: What is the fastest growing total computable function you can describe in a few lines?

What is the fastest growing total computable function you can describe in a few lines? Well, not necessarily the fastest - I just would like to know how far an ingenious mathematician can go using only a few lines, and what systematic approaches exist for this purpose. How farther you can go if ...

Bigger than big ints

Leaky Nun

@Abra look up fast growing hierarchy

Abra

wohow

Simply Beautiful Art

Extremely Large Numbers 1 - Introduction

►

@LeakyNun you might wanna watch that

Leaky Nun

@Abra I have two theorems:

@SimplyBeautifulArt watched already

Simply Beautiful Art

Oh lol

Leaky Nun

17:58

Theorem 1: You've no idea how big finite is.

Theorem 2: You've no idea how big countable is.

Simply Beautiful Art

All it!?

Leaky Nun

not really

the first few videos

Simply Beautiful Art

Well

It goes all the way up to basic ordinal collapsing functions

Leaky Nun

> How much is Infinity? -literally everyone at least once

Simply Beautiful Art

@Abra I challange thee to a game of really large numbers.

Leaky Nun

18:05

> According to no known laws of aviation, there are multiple ways a bee should be able to be swallowed up by antimatter

Simply Beautiful Art

16 hours ago, by Simply Beautiful Art

> According to no known laws of aviation, there are multiple ways a bee should be able to be swallowed up by antimatter

Leaky Nun

15 hours ago, by Simply Beautiful Art

Reset!

> Antimatter guns don't kill antimatter people, antimatter people kill antimatter people but does that mean that antimatter toaster doesn't toast antimatter toasts, antimatter toast toasts antimatter toasts?

> This completely useless sentence will get you nowhere and you know it. What a horrible obnoxious man would come up with it, he will probably go to hell, and why would the developer even implement it? Even if you kept reading it you wouldn't be able to finish it (the first time).

Simply Beautiful Art

:P

Leaky Nun

> Electrons are now seeing the happy things in life. We're calling these happy electrons 'Positrons.' Wait, that's taken?

@SimplyBeautifulArt let's play the game of large numbers

> The square root of 9 is 3, therefore the 9th dimension can't exist.

illuminati reference?

Simply Beautiful Art

18:29

Idk

On my phone cuz the internet is down

Leaky Nun

@SimplyBeautifulArt are you analyzing my function ><

Simply Beautiful Art

I'm gonna be back later

X'D not right now

I feel like the answer is too simple

Leaky Nun

><

Abra

18:57

@simply do you accept partial answers? not accept them by means of application, just by definition of "letting them pass" ?

cause i now have 4 conjectures, 3 of them are true.

Simply Beautiful Art

19:11

@Abra sure

Simply Beautiful Art

20:18

@LeakyNun The antimatter galaxy so worth it

0 to 50% of infinity in under 5 minutes

When you reach 60% of infinity and your first two dimensions are increasing at over 100%/s

Broke 10^200 and I had more antimatter/second coming in than I had antimatter in total

(cuz spending so fast)

Resets

Goes from 0 to 50% of infinity in less than 3 seconds

WTF

This game is too addicting for someone who has no life and likes to spam click

Leaky Nun

20:43

@SimplyBeautifulArt but what about my function :c

Simply Beautiful Art

x'D Sorry @LeakyNun

@theCarver Hello and welcome to my realm

The covered text says:

> The world has collapsed on itself due to excess of antimatter.

I'VE UNLOCKED INFINITY!

oh god

what have I done

GOD THIS IS HORRIBLE

x.x

@LeakyNun Help

Leaky Nun

21:26

quoi

Simply Beautiful Art

21:43

@Leaky I got an autobuyer btw

Be prepared

Leaky Nun

22:24

sancta maria mater dei

Simply Beautiful Art

@LeakyNun :( I speak English

Leaky Nun

@SimplyBeautifulArt holy mary mother of god

Simply Beautiful Art

Ah haha

Leaky Nun

23:45

@SimplyBeautifulArt i like letter mode

Simply Beautiful Art

:P

Leaky Nun

come on, let's play the big number game @SimplyBeautifulArt

Simply Beautiful Art

Gah

Fine

@drowdemon Hello and welcome to my realm

Try not to go too fast

0

> too fast

whatever that's supposed to mean

Leaky Nun

@SimplyBeautifulArt 1

Simply Beautiful Art

$\psi(2)$

a.k.a. 5

Transcript for

$Mathematics$ Simply Beautiful Art's realm of calcu…