#Your Favorite Number
1601 messages · Page 2 of 2 (latest)
what?
i dont understand you
True
0.1 cannot be the next number after 0
ok
ask me the question
where are we now in our numbers?
how did we get to 1 so fast?
from 0 we could have gone in either direction
ok sir
why did you choose the direction you chose?
huh?
does -1 come after or before 0?
On the number line, -1 comes before 0. Moving to the left on the number line represents decreasing values. Therefore, -1 is to the left of 0 on the number line.
ok
if -1 comes before 0, then we did not start at the beginning of the numbers
where is the beginning?
the beginning of numbers to be at negative infinity, with 0 serving as the midpoint of the number line.
I think richard does not agree
why does rotor spell his name backwards?
ok
well why dd you choose to go forward from zero
and why do we treat the choice of direction as a binary choice?
why not go in a 3rd dimension
or other directions/dimensions?
can we do that?
i spose so
next question
@lunar shoal are you there?
@lunar shoal i gotta go bye
cya
i am back
bro
he let the server
why?
why?
dunno
....
2/5
what do you mean i thougt you like science????
The number 37 is on your mind more than you think. Head to https://brilliant.org/veritasium to start your free 30-day trial and get 20% off an annual premium subscription.
Huge thanks to Tom Magliery for sharing his 37 collection with us. Support http://thirty-seven.org by sharing your own 37 sightings to [email protected]!
Thanks to Dr. Tod...
bro what
uh
LONG LIVE ROCKHOVEN
0
you can calculate the area of sphere without pi
I don't think you can.
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
yes you can
How?
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
11 is prime.
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
Don't you people like negative numbers?
oh you're back
draw lines and sphere and split it to triangles
Sure I like them
But I don’t like them as much, as their happy counterparts they lack positivity
What?
My favorite negative number is -1/12 because it's the sum of all positive integer numbers
-1 is also a great number
No. -1 is the worst. Anything negative is the worst. Negative in your bank account is the worst. Negative ionisation charge is the worst
Youse guys are not following the instructions I gave in the OP.
your instructions aren't clear
wdym with 'number'
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.
Youse guys are picking your favorite numbers before we have gotten to the end
There is no end though
we'll cross that bridge when we get to it
so you gonna
go to infinity
I will be in this journey only if you approximate 5 + 3 = 8
appr. 5 + appr. 3 = appr. 8
You’ll never get to the bridge dl you understand the concept of infinity ? It’s unending so it’s impossible to list all numbers
yer kidding?
bruh
i don't think he is
well I'll be a monkey's uncle
find area of sector make your own formula
so your sister or brother is a monkey
so you are also a monkey
unless your or your brother is adopted
you can count 1
2 3 ….. until forever so you can’t « list » all numbers it is impossible
Rotor - Do you know how spell your name backwards?
Yes it’s rotoR
lol
Yes i know my name is spelled the same backwards
there is no bridge
Why don't we just consider numbers from just irrational numbers
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

I expected that everyone would say pi or euler number
Why?
Mine is macaroni constant $\gamma$
Rotor
Djake3tooth
Do you accept $\mathbb{O}n$
Djake3tooth
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
Rotor
Maybe all the fractions that return the initial value
What do I mean by "number"? I mean 1, 2, 3, 4, 5, 6, 7, 8, & 9
After this the finite numbers are simply recycled
Infinity is a work of human imagination
the number series is not infinite but finite
when the last human dies and the human race becomes extinct
that will be te end of the numbers
if our machines are left behind to survive us
they too will come to their own extinction and then number will stand still
no more counting will be performed
all number will be abolished
so 1,2,3,4,5,6,8 & 9 are all the numbers?
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
Maybe an alien race has a different notation for 1 heck even during Roman times the number 1 was written as $I$
Rotor
Infinity, while being more abstract is also a consequence of the human mind and observation of the universe
the world seems infinite
What about time then do you see a finitude to time ??
for some
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?
It's a difficult question
i didn't say anything about physics, you did
Fr
and so i guess to you the world is contained in physics
I have no idea what to believe
difficult question
hmm
did you already make a thread about math vs physics?
Not yet but it has come up in these chats
for me both math and physics are philosophical discussions
I don't study these subjects to build a house or get high paying job
that is probably the healthiest attitude
i see these subjects as a means for meditation
they certainly help me have fun
a safe alternative for drugs or drinking
relatively safe
1 means single.
Math is fun
1000%
@lunar shoal u lit made a topic about "what is your favourite number"
whats your favourite number btw
how may i help you?
nice to meet you
I like a number that is handy for the situation
i do not distinguish between odd and even numbers
that is for the foolish
i agree
7482?
odd and even is one of the stoopidest ideas in math ever
completely useless
as is coordinate geometry
in my opinion it isnt
I'll be talking about this false science in the future
since i was getting free high grades when i was in middle school because of these even and odd numbers
I like math and science for entertainment
life is casual imo
and for contemplation
god knows everything thats gon happen to me lmao
i like chemistry
Hmm i didnt get those grades they held me back
how comes
i barely made it to the 8th grade because i refused this brainwashing
dawg
you got the good grades and i am out for revenge!
8th grade for me was easier than making champion rank on fortnite
btw what were you seeking at that time
i mean
you barely made it to the 8th grade
with flying colours
comprehensible
i swore that i would get my revenge upon the math world
how
and bring the whole thing toppling down
hold me back!?
how dare they!
that was when i became a mad scientist
how are you planning to get revenge upon the math world
how old are you @lunar shoal
nah fr
i cant really tell you how old iam since i cannot count
THIS IS NOT A JOEK!
it seems like one
hollon bro
are humans this dumb that they cant even agree on something
1+1 equals 2
and some random will say 3
we have already been through this
many people have given different answers to the question of 1 + 1
yeah bro
look in the 1 + 1 thread for that
and i did not find anything unusual about their answers
are we this dumb that we cant make a conclusion
i never argued until i was blue in the face
i simply accepted their answers
they were highly educated
ill go with 2
mathematicians, scientist, physicists
well two is ok if you want to work with 2x4's
there are other uses for math
and 2 will not do
2 works for some situations
if you want to build a wall with 2x4's 2 can be a handy number
i agree
well see if you learn math and science by rote
you wil have a hard time using your imagination
and science and mathematics require imagination
my imagination is about animes gang
this is my imagination (btw rate drawing)
I never got into either math or sciences until i realized that they are imaginative arts
nothing is perfect bro
That is very good you are very talented
thanks gang
rate it
did you draw this?
mhm
with drakes songs you can do everything
ngl you gotta WANT to draw
but if youre obbligated it wont work
@lunar shoal are you talented at drawing?
i like drawing ngl
is that your drawing?
it is
i could not rate this drawing until i reviewed all of your work
i can show you another one
i could give this a 9 or 10 but then you might have something better
since i only have 2 good drawings lmao
and that would be a 10
so rating is relative
i would need a collection
well ok
if you have two
how many did you draw to get those two?
do you have a notebook?
but fosho less than 10
7 or 8
yeah but i dont draw on it that much
yeah
i just keep it just in case
but what would your drawing look like if you did 100?
maybe you would get better with experience?
i dont need experience tbh
i aint gonna draw on 100 different papers just for 1
ykwim
and yeah
lmao we went from "whats your favourite number" to "rate my drawing"
@lunar shoal carti or lil darkie
0 is the most mysterious number
Whats going on here
is 0 a number? When did that happen?
0 is not a number
I agree
Unless
my favorite number is e
0 IS A FKING NUMBER
$\sum_{n=0}^{\infty} \frac{x^n}{n!}$
$\frac{d}{dx} b^x = b^x$
$\cos(x) +i\sin(x)$
neruguis
$e$
neruguis
eeeeeeeeee
eeeeeeeeeeeee
okay
I don't think anyone read the OP. I am beginning to think that know one here noes how to read
or right
even so
the idea in the OP was to review every single one of the numbers until the end of the numbers
and to discuss their properties
like
4
4 is $2^2$
rockhoven
the idea was to look at what every number can do
and cannot do
to appreciate the distinguishing traits of each individual number
to savor them
to get from them all we could squeeze out of them
to soar with the numbers like the blue jays!
to go to number heaven and sit with the gods
42
My favorite number is 0^-1
4
$\sum_{n=0}^{\infty} \frac{1}{n!}$
neruguis
That's just e, though.
exactly
and recently I discovered why
it all comes from ln(e)=1)
then d/dx e^x = e^x
then d^n/dx^n e^x = e^x
then e^x = Σ x^n/n!
then e = Σ 1/n!
i think we have to have two fav numbers
and integer and a real
my integer is 6
...no. It comes from e^x = sum(n = 0, inf) x^n/n!.
No.
why?
It comes from the fact that d/dx e^x = e^x.
i just discovered we can get taylor expansion for ln(1+x) or anything similar by not using taylor
like integrals and derivatives?
yes
like expanding 1/(1+x)
Right, because d/dx e^x = e^x and b^x = e^(x ln(b)).
integration mostly
It's the chain rule.
sure
express that as an infinite geometric progression
-x+x²-x³+....
get ln(x+1)
holy starclan this is good
and this is bad
but you can use Riemann sum
for 1/x
Approx integrals
im reading more about the gamma function rn
sum of rectangles
i think we’re talking about different things
Also the radius of convergence.
yeah
yes, i have heard of the reimann sum but never really tried knowing what exactly it is
ba dum tss
i was trying $\int_{0}^{1} x^{x} dx$ using gamma
\int
rev
oh this one is hard
when you learn integrals
you see
that derivatives are so f easy
and past you
thinking it’s hard
haha
$\sum_{n=0}^{\infty} \frac{1}{n!} \int_{0}^{1} x^{n} (lnx)^{n} dx$ i know I can do by parts here but I'm stuck on how to
rev
yeah, derivates is actually very easy
x^x has no antiderivative in elementary functions.
yeah but I read a post, this guy did stuff the same way i did and got some humongous weird series
same
yeah
the blue one is the Taylor approx at n = 100
the green is ln(x)
the purple is the approx integral
the purple one is very accurate
after x=2, the Taylor diverges
then it’s a mess
but if you see
In this point
between 0 and 1
the Taylor is so better
I can’t even zoom in to see the error
with both, error is less at 1
My favorite number is tiny
dx
is dx defined by any number/set theory?
Google tells me its not a number
I heard that in set theory, people have defined all math in terms of 0, or something like that
Sorry, in terms of null sets.
and only natural numbers
you can define it with hyperreal numbers
but that's an unusual route to formalize it, idk if it has benefits
I see. They were used by Leibnitz and others working with infinitessimals, and this one video described how they were brought back into focus after limits dominated the conventional way of defining them.
MINE ARE 1379
what number are we on
I like 64 cuz its the graham's number (g64)
;0
e
e
e is good at calculus
No, when you flip it, it's 8.
808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 is a pretty neat number
Yea.
pretty neat.
Mine is i^i
,w e^{\frac{- \pi}{2}}
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,w i^i
e is calculus
When you rotate it 90 degrees, it becomes 8 rotated 90 degrees.
Of course the best number I randomly and uniformly select over the real line whenever I am asked.
That one guy who doesn't have a mom
casts AI mommy gf in your direction
3107
oscae pastry the best
73
1752
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
Wicked Cool, like a positive omen that follows you or something? Do you feel like its tied to you personally, like some kind of transcendent message from the universe?
Not really, just a cool number to have around
Gotcha
What's urs?
- 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.
1752?
No, the number seven
It looks purple too for some reason
3 being yellow for me
Oh thats what you were asking
hmm, lemme think,
Yeah, a light purple
Huh. Wow, its red to me for some reason
interesting
hmm
π
Lol
you remember it so well because you keep trying to call her and she doesn't pick up?
That's probably the case.
because that number is transcendental
Why she didn't pick up?
Ans:
@sleek bluff sorry lil bro
😭 🎻 😭😭💔
I've been mom cucked 😭 🔫
Didn't know hypertrancendental numbers were a thing
My bad. I meant transcendental
My fav number is a
O
mine is e
7
its his favourite word lol
No my favorite word is "your mom"
Nope
aww, embarrased?
no
Care to share WHY?
So
1369 is a square of a prime number
37²=1369
So it has exactly 3 factors
and just visually inspecting it
We can see the last three numbers are multiples of 3
also we note that 13²=169
and 37²=1369
So we've squeezed in 3 to a square number to attain 1369 which is also a square number
Also the factors of 1369 are 1,37,1369
Taking the sum we get 1407
We can break this into 14 and 07
Which are both multiples of 7
And 37 is a number we put 3 and 7 together
Idk it's prob mere coincidence and slightly forced but I find it interesting
That was interestingly put, I may not see it in the same light but I appreciate the explanation and attention to detail
The duality of man
How 'bout plain old 2
I don’t have a favourite number
Numbers are just numbers that we use in our daily lives for addition, subtraction, division, etc
thats fair
mine is e
e = pi = 3
ceiling(e) = 3
floor(pi) =3
What you said isn't generally true .
its a joke :p
10
i will not specify the base
808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000
💀 bro watched the 3b1b video
order of monster group
Either this or 6 (reason also related to group theory)
Number 3 is so cool
This is my favourite number as well.
Hi, did anyone say my name?
You can find any number in form of 'n' where 'n' is any number.
Proof it
Alr yhen
every real number is in the form $\sum_{i = 0}^{\infty} c_in^i$ where $c_i \le n$ for all $c_i \in c$ and $n$ and $c_i$ can be any real number
that's literally a base system
unfunny name trying to be funny
