#Your Favorite Number

1601 messages · Page 2 of 2 (latest)

lunar shoal
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true or false?

junior plank
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what?

junior plank
lunar shoal
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t or f? 0.1 comes after 0

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???

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you cannot answer?

junior plank
lunar shoal
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why?

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0.1 uses the number 1

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so 1 does come after 0

junior plank
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ok

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i will have to go to kumon later

lunar shoal
#

0.1 cannot be the next number after 0

junior plank
lunar shoal
#

it must be 0.01

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no thats no good either

junior plank
#

ok

lunar shoal
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its 0.001

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nope

junior plank
lunar shoal
#

where are we now in our numbers?

junior plank
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1

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0

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i dont know

lunar shoal
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how did we get to 1 so fast?

junior plank
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i forgot

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i am confused

lunar shoal
#

from 0 we could have gone in either direction

junior plank
#

ok sir

lunar shoal
#

why did you choose the direction you chose?

junior plank
#

huh?

lunar shoal
#

does -1 come after or before 0?

junior plank
lunar shoal
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ok

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if -1 comes before 0, then we did not start at the beginning of the numbers

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where is the beginning?

junior plank
lunar shoal
#

I think richard does not agree

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why does rotor spell his name backwards?

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ok

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well why dd you choose to go forward from zero

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and why do we treat the choice of direction as a binary choice?

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why not go in a 3rd dimension

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or other directions/dimensions?

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can we do that?

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i spose so

junior plank
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rotor

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wow i never noticed that

junior plank
#

@lunar shoal are you there?

junior plank
#

@lunar shoal i gotta go bye

lunar shoal
#

cya

clever quartz
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1<a<2

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Done

junior plank
junior plank
worn cove
#

he let the server

junior plank
#

why?

junior plank
worn cove
#

dunno

junior plank
#

....

junior plank
worn cove
junior plank
spiral lake
junior plank
#

bro what

junior plank
#

uh

junior plank
#

RIP THIS TREAHD

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LONG LIVE ROCKHOVEN

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👍

worn cove
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LONG LIVE ROCKHOVEN

spiral lake
#

you can calculate the area of sphere without pi

tired yoke
cyan shore
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1024 is my favorite because it starts with "10" and is equal to 2^10, I don't know why I like that fact, I'm not a big fan of base 10 representation properties

But anyways, 1024 seems good to me

spiral lake
tired yoke
errant lotus
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my favorite number is 12345678910987654321 because it is the lowest number (that I know of) that its digits have the pattern of 1, 2,3,4,5,...,n,n-1,n-2,...,2,1 that is also prime

errant lotus
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yes I realized that and was hoping no one would say it. 11 is the worst number because it tries to be querky but isn't

lunar shoal
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Don't you people like negative numbers?

spiral lake
spiral lake
worldly forge
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But I don’t like them as much, as their happy counterparts they lack positivity

cyan shore
spiral lake
lunar shoal
#

Youse guys are not following the instructions I gave in the OP.

clever quartz
#

wdym with 'number'

lunar shoal
#

The OP says that we are going to review all of the numbers first, then after we we have gotten to the end of the numbers then we will choose our favorite number.

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Youse guys are picking your favorite numbers before we have gotten to the end

lunar shoal
spiral lake
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go to infinity

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I will be in this journey only if you approximate 5 + 3 = 8

lunar shoal
#

appr. 5 + appr. 3 = appr. 8

worldly forge
lunar shoal
#

yer kidding?

spiral lake
spiral lake
lunar shoal
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well I'll be a monkey's uncle

spiral lake
spiral lake
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so you are also a monkey

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unless your or your brother is adopted

worldly forge
lunar shoal
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Rotor - Do you know how spell your name backwards?

worldly forge
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Yes it’s rotoR

lunar shoal
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yes

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you are smart

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I think you should reverse that R though

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put rotor in reverse

spiral lake
worldly forge
clever quartz
spiral lake
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Or like take the Fibonacci series and pick numbers based on the next digits like first will be 1 digit number then pick the next 2 numbers

cyan shore
cyan shore
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Idk

worldly forge
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Mine is macaroni constant $\gamma$

ivory kilnBOT
clever quartz
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that one is cool

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I also like Feigenbaum $\delta$

ivory kilnBOT
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Djake3tooth

clever quartz
ivory kilnBOT
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Djake3tooth

worldly forge
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It find it cool because $\Gamma (x+1) = 1-\gamma x +o(x)$ for x approaching 0 finding the limit of the difference between the harmonic series and the natural log in the Taylor expansion of the gamma function is cool in my personal opinion

ivory kilnBOT
spiral lake
lunar shoal
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After this the finite numbers are simply recycled

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Infinity is a work of human imagination

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the number series is not infinite but finite

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when the last human dies and the human race becomes extinct

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that will be te end of the numbers

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if our machines are left behind to survive us

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they too will come to their own extinction and then number will stand still

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no more counting will be performed

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all number will be abolished

clever quartz
short hamlet
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Mine is 0 cuz it is real w
Lemme give an example
0×10^69 = 0

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🗿🗿

worldly forge
# lunar shoal After this the finite numbers are simply recycled

Numbers are a work of the human imagination as well, they are based on our observations and interpretations of our world for example what does « 1 » even mean ? We, as humans know that it represents what we call a number but we know that because it is a system created by humans

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Maybe an alien race has a different notation for 1 heck even during Roman times the number 1 was written as $I$

ivory kilnBOT
worldly forge
#

Infinity, while being more abstract is also a consequence of the human mind and observation of the universe

clever quartz
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the world seems infinite

worldly forge
clever quartz
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for some

lunar shoal
# clever quartz the world seems infinite

That is an interesting point. But now you are appealing to physics and it brings to mind the issue that I raised previously about the relationship between math and physics. Which is empirical to the other?

lunar shoal
clever quartz
clever quartz
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and so i guess to you the world is contained in physics

lunar shoal
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I have no idea what to believe

clever quartz
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hmm

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did you already make a thread about math vs physics?

lunar shoal
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Not yet but it has come up in these chats

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for me both math and physics are philosophical discussions

clever quartz
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i see math and physics as overlapping

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but neither fully contains the other

lunar shoal
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I don't study these subjects to build a house or get high paying job

lunar shoal
#

i see these subjects as a means for meditation

clever quartz
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they certainly help me have fun

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a safe alternative for drugs or drinking

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relatively safe

lunar shoal
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Math is fun

worldly forge
spiral lake
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@lunar shoal u lit made a topic about "what is your favourite number"

lunar shoal
#

?

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yes, this is rockhoven

spiral lake
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whats your favourite number btw

lunar shoal
#

how may i help you?

spiral lake
lunar shoal
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I don't know all of the numbers

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so how can i have a favorite?

spiral lake
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i have a favourite one

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7482 🔥

lunar shoal
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I like a number that is handy for the situation

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i do not distinguish between odd and even numbers

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that is for the foolish

spiral lake
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i agree

lunar shoal
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7482?

spiral lake
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yrah

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yeah*

lunar shoal
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odd and even is one of the stoopidest ideas in math ever

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completely useless

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as is coordinate geometry

spiral lake
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in my opinion it isnt

lunar shoal
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I'll be talking about this false science in the future

spiral lake
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since i was getting free high grades when i was in middle school because of these even and odd numbers

lunar shoal
#

I like math and science for entertainment

spiral lake
#

life is casual imo

lunar shoal
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and for contemplation

spiral lake
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god knows everything thats gon happen to me lmao

spiral lake
lunar shoal
spiral lake
lunar shoal
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i barely made it to the 8th grade because i refused this brainwashing

spiral lake
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dawg

lunar shoal
#

you got the good grades and i am out for revenge!

spiral lake
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8th grade for me was easier than making champion rank on fortnite

spiral lake
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i mean

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you barely made it to the 8th grade

lunar shoal
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with flying colours

spiral lake
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comprehensible

lunar shoal
#

i swore that i would get my revenge upon the math world

spiral lake
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how

lunar shoal
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and bring the whole thing toppling down

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hold me back!?

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how dare they!

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that was when i became a mad scientist

spiral lake
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how are you planning to get revenge upon the math world

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how old are you @lunar shoal

lunar shoal
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and i swore to get my revenge upon the world

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99 years old

spiral lake
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nah fr

lunar shoal
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i cant really tell you how old iam since i cannot count

spiral lake
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huh

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is this a joke

lunar shoal
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THIS IS NOT A JOEK!

spiral lake
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it seems like one

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hollon bro

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are humans this dumb that they cant even agree on something

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1+1 equals 2

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and some random will say 3

lunar shoal
#

we have already been through this

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many people have given different answers to the question of 1 + 1

spiral lake
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yeah bro

lunar shoal
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look in the 1 + 1 thread for that

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and i did not find anything unusual about their answers

spiral lake
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are we this dumb that we cant make a conclusion

lunar shoal
#

i never argued until i was blue in the face

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i simply accepted their answers

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they were highly educated

spiral lake
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ill go with 2

lunar shoal
#

mathematicians, scientist, physicists

spiral lake
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since its the most normal answer

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1 plus 1 equals 2 bro

lunar shoal
#

well two is ok if you want to work with 2x4's

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there are other uses for math

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and 2 will not do

spiral lake
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2 is the answer bro

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i mean

lunar shoal
#

2 works for some situations

spiral lake
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1+1=2 ; 2-1=1

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imagine saying 3 bro ☠️

lunar shoal
#

if you want to build a wall with 2x4's 2 can be a handy number

spiral lake
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i agree

lunar shoal
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well see if you learn math and science by rote

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you wil have a hard time using your imagination

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and science and mathematics require imagination

spiral lake
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my imagination is about animes gang

lunar shoal
#

people imagine new maths and sciences

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you have to enjoy the imaginative work

spiral lake
lunar shoal
#

I never got into either math or sciences until i realized that they are imaginative arts

spiral lake
worldly forge
spiral lake
spiral lake
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rate it

lunar shoal
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did you draw this?

spiral lake
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mhm

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with drakes songs you can do everything

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ngl you gotta WANT to draw

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but if youre obbligated it wont work

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@lunar shoal are you talented at drawing?

lunar shoal
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idk

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haven't tried it much

spiral lake
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i like drawing ngl

lunar shoal
#

is that your drawing?

spiral lake
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it is

lunar shoal
#

i could not rate this drawing until i reviewed all of your work

spiral lake
#

i can show you another one

lunar shoal
#

i could give this a 9 or 10 but then you might have something better

spiral lake
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since i only have 2 good drawings lmao

lunar shoal
#

and that would be a 10

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so rating is relative

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i would need a collection

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well ok

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if you have two

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how many did you draw to get those two?

spiral lake
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heres my second one

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this looks way cooler

lunar shoal
#

that is a good question in statistics

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how many did you draw in total

spiral lake
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7 or 8

lunar shoal
#

do you have a notebook?

spiral lake
#

but fosho less than 10

lunar shoal
#

7 or 8

spiral lake
lunar shoal
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yeah

spiral lake
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i just keep it just in case

lunar shoal
#

but what would your drawing look like if you did 100?

spiral lake
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eorse

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worse*

lunar shoal
#

maybe you would get better with experience?

spiral lake
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i dont need experience tbh

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i aint gonna draw on 100 different papers just for 1

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ykwim

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and yeah

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lmao we went from "whats your favourite number" to "rate my drawing"

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@lunar shoal carti or lil darkie

spiral lake
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0 is the most mysterious number

spiral lake
#

Whats going on here

lunar shoal
#

is 0 a number? When did that happen?

spiral lake
lunar shoal
#

I agree

spiral lake
cyan shore
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3

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cus

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i like to say

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pi = 3

shrewd schooner
#

my favorite number is e

shrewd schooner
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$\sum_{n=0}^{\infty} \frac{x^n}{n!}$

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$\frac{d}{dx} b^x = b^x$

ivory kilnBOT
#

neruguis

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neruguis

shrewd schooner
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$\cos(x) +i\sin(x)$

ivory kilnBOT
#

neruguis

shrewd schooner
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$e$

ivory kilnBOT
#

neruguis

shrewd schooner
#

eeeeeeeeee

shrewd schooner
#

eeeeeeEEEEEEEEEEEEE

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EEEEEEEEEEEEEFE#ACDDDDDCBDCCCCCBACBBBB

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rush e

shrewd schooner
#

eeeeeeeeeeeee

maiden yoke
#

okay

lunar shoal
#

I don't think anyone read the OP. I am beginning to think that know one here noes how to read

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or right

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even so

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the idea in the OP was to review every single one of the numbers until the end of the numbers

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and to discuss their properties

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like

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4

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4 is $2^2$

ivory kilnBOT
#

rockhoven

lunar shoal
#

the idea was to look at what every number can do

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and cannot do

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to appreciate the distinguishing traits of each individual number

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to savor them

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to get from them all we could squeeze out of them

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to soar with the numbers like the blue jays!

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to go to number heaven and sit with the gods

small abyss
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42

stone cloak
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My favorite number is 0^-1

tired yoke
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My favorite number is the greatest prime number.

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No, the product of all the primes.

winter reef
#

4

shrewd schooner
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$\sum_{n=0}^{\infty} \frac{1}{n!}$

ivory kilnBOT
#

neruguis

tired yoke
shrewd schooner
#

exactly

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and recently I discovered why

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it all comes from ln(e)=1)

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then d/dx e^x = e^x

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then d^n/dx^n e^x = e^x

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then e^x = Σ x^n/n!

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then e = Σ 1/n!

hot echo
#

my favourite number is 137

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i don't know why

shrewd schooner
#

why

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ok

hot echo
#

but it looks cool

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o7

shrewd schooner
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i think we have to have two fav numbers

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and integer and a real

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my integer is 6

tired yoke
shrewd schooner
#

but this comes from ln(e)=1

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Taylor series

tired yoke
#

No.

shrewd schooner
#

why?

tired yoke
#

It comes from the fact that d/dx e^x = e^x.

shrewd schooner
#

and why?

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d/dx b^x = ln(b)b^x

hot echo
#

i just discovered we can get taylor expansion for ln(1+x) or anything similar by not using taylor

shrewd schooner
#

like integrals and derivatives?

hot echo
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yes

shrewd schooner
#

like expanding 1/(1+x)

tired yoke
hot echo
#

integration mostly

tired yoke
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It's the chain rule.

shrewd schooner
#

sure

hot echo
shrewd schooner
#

smart

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then integrate

hot echo
#

-x+x²-x³+....

shrewd schooner
#

get ln(x+1)

hot echo
#

then integrate both sides

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but the convergence is ASS

shrewd schooner
#

holy starclan this is good

shrewd schooner
#

but you can use Riemann sum

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for 1/x

hot echo
#

i haven't heard of it

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but I'll try

shrewd schooner
#

Approx integrals

hot echo
#

im reading more about the gamma function rn

shrewd schooner
#

sum of rectangles

shrewd schooner
tired yoke
shrewd schooner
#

yeah

hot echo
#

ba dum tss

hot echo
shrewd schooner
#

\int

ivory kilnBOT
shrewd schooner
#

oh this one is hard

hot echo
#

yeah

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i got till

shrewd schooner
#

when you learn integrals

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you see

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that derivatives are so f easy

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and past you

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thinking it’s hard

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haha

hot echo
#

$\sum_{n=0}^{\infty} \frac{1}{n!} \int_{0}^{1} x^{n} (lnx)^{n} dx$ i know I can do by parts here but I'm stuck on how to

ivory kilnBOT
hot echo
shrewd schooner
#

look

tired yoke
shrewd schooner
#

oh my

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these non-elementary functions kill me

hot echo
shrewd schooner
#

omg

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I’m seeing that calc two will be wild

hot echo
#

we haven't even begun with limits and derivatives

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in skol

shrewd schooner
#

yeah

shrewd schooner
#

the green is ln(x)

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the purple is the approx integral

hot echo
#

the purple one is very accurate

shrewd schooner
#

after x=2, the Taylor diverges

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then it’s a mess

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but if you see

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In this point

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between 0 and 1

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the Taylor is so better

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I can’t even zoom in to see the error

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with both, error is less at 1

clever quartz
#

My favorite number is tiny

shrewd schooner
#

dx

sleek bluff
#

Google tells me its not a number

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I heard that in set theory, people have defined all math in terms of 0, or something like that

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Sorry, in terms of null sets.

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and only natural numbers

clever quartz
#

but that's an unusual route to formalize it, idk if it has benefits

sleek bluff
spiral lake
#

MINE ARE 1379

orchid whale
#

what number are we on

calm peak
#

I like 64 cuz its the graham's number (g64)
;0

shrewd schooner
#

e

hot echo
#

e

shrewd schooner
#

e is good at calculus

zealous yoke
#

My fav, number is 8.

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because when u flip it, it's infinity.

tired yoke
surreal vessel
#

808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 is a pretty neat number

spiral lake
#

Mine is i^i

hot echo
#

,w e^{\frac{- \pi}{2}}

ivory kilnBOT
hot echo
#

,w i^i

hot echo
honest hinge
#

Of course the best number I randomly and uniformly select over the real line whenever I am asked.

sleek bluff
#

My favorite number is the one I use to call your mom

sleek bluff
keen nymph
#

3107

spiral lake
#

oscae pastry the best

toxic jasper
#

73

spiral lake
#

1752

sleek bluff
spiral lake
# sleek bluff

It's my roll number in my school and coincidentally my grandma's car is numbered smth that sums up to 15, what else sums up to 15? Exactly

sleek bluff
spiral lake
sleek bluff
spiral lake
sleek bluff
# spiral lake What's urs?
  1. I associate it with the color purple, and I feel like its a really weird number to multiply with but I havent watched numberphiles video on it. I like its feel.
sleek bluff
spiral lake
#

3 being yellow for me

sleek bluff
#

hmm, lemme think,

sleek bluff
sleek bluff
#

interesting

glacial river
#

hmm

spiral lake
#

ok i found it mine is eω💩.

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approximately 1.92211551

sleek bluff
#

Why is it your favorite number?

lilac jackal
#

π

rustic prawn
spiral lake
sleek bluff
sleek bluff
spiral lake
spiral lake
#

My fav number is a

sleek bluff
shrewd schooner
#

mine is e

obsidian sun
#

7

obsidian sun
spiral lake
obsidian sun
#

your name is "Math god"

spiral lake
obsidian sun
#

aww, embarrased?

spiral lake
bold spoke
#

i really like the number 1369

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its weirdly interesting

sleek bluff
bold spoke
#

So

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1369 is a square of a prime number

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37²=1369

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So it has exactly 3 factors

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and just visually inspecting it

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We can see the last three numbers are multiples of 3

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also we note that 13²=169

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and 37²=1369

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So we've squeezed in 3 to a square number to attain 1369 which is also a square number

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Also the factors of 1369 are 1,37,1369

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Taking the sum we get 1407

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We can break this into 14 and 07

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Which are both multiples of 7

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And 37 is a number we put 3 and 7 together

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Idk it's prob mere coincidence and slightly forced but I find it interesting

sleek bluff
rancid peak
#

The duality of man

clever quartz
#

How 'bout plain old 2

verbal spire
#

I don’t have a favourite number

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Numbers are just numbers that we use in our daily lives for addition, subtraction, division, etc

bold spoke
#

thats fair

shrewd schooner
#

mine is e

cedar veldt
#

e = pi = 3

spiral lake
cedar veldt
#

wait

#

hear me out

cedar veldt
cedar veldt
surreal vessel
#

808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000

cold veldt
#

💀 bro watched the 3b1b video

glacial river
surreal vessel
primal bramble
#

Number 3 is so cool

cedar veldt
#

3 is mid

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the only things its first at is the fermat primes and odd prime

spiral lake
cyan shore
tribal creek
#

Root(3) is on another level

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You can litteraly find any number in root 3

spiral lake
tribal creek
#

Proof it

spiral lake
#

Suppose you have to represent 'x' using n
x=n-(n-x)

tribal creek
#

Alr yhen

cold veldt
#

that's literally a base system

ivory kilnBOT
#

unfunny name trying to be funny

dusk oyster
#

my favourite number is 2

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because its even and prime