I think 0 has to always be in the set of digits because any number X can be written 0X, e.g. 1 = 01. See the derivation in the comment you replied to 😁
I don't know if it has a base designation, but there is a way to represent natural numbers without 0. You just use 1, and numbers are distinguished by the number of 1s. So you'd count 1 11 111 1111 11111 and so on.
I think you're thinking of the unary numeral system. While some people do call it "base 1", it's not really a positional number system like the other base N systems. In unary, you "write" 0 by just not writing anything.
Top ten numbers under 10, starting it off with an honorable mention we have 10, which is not a number less than 10, but is equal to 10. Prior to the discovery of the concept of 0 this was the tenth number.
Every instance of every digit of pi in order:
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
Ah yes, the philosophical difference between types and tokens. E.g., "A rose is a rose is a rose" has three word types but eight word tokens. The equivocation is used to humorous effect.
Yes, they all are like that. They need more decimal places because none of the digits are an exact match, so they use thr closest one under the actual value and then add another digit to get closer, but that digit only gets part of the way, so the same thing is done.
Irrational numbers keep doing that indefinitely. Some rational numbers, too, but they can be expressed as a fraction of exact numbers.
45 Comments
imacatnotaman@lemmy.ml · 52 pts · 152d
red_tomato@lemmy.world · 19 pts · 152d
Tom’s feelings are real
sundray@lemmus.org · 2 pts · 152d
If transcendental.
m3t00@piefed.world · 6 pts · 152d
asked rufus for last four digits of pi. it offered some books on pi after 'thinking'
PM_ME_VINTAGE_30S@lemmy.sdf.org · 42 pts · 152d
Every digit of π in binary: {0,1}
BillyClark@piefed.social · 17 pts · 152d
Ooh! Now do it in base π.
PM_ME_VINTAGE_30S@lemmy.sdf.org · 22 pts · 152d
I think it would also be {1,0}, because π = ... + 0×π^2^ + 1×π + 0×1 + 0×π^(-1) + ... = (...00010.000...)_π, right?
SuluBeddu@feddit.it · 5 pts · 151d
If your only digit is pi, I believe it's {1}
PM_ME_VINTAGE_30S@lemmy.sdf.org · 7 pts · 151d
I think 0 has to always be in the set of digits because any number X can be written 0X, e.g. 1 = 01. See the derivation in the comment you replied to 😁
BillyClark@piefed.social · 1 pts · 150d
I don't know if it has a base designation, but there is a way to represent natural numbers without 0. You just use 1, and numbers are distinguished by the number of 1s. So you'd count 1 11 111 1111 11111 and so on.
PM_ME_VINTAGE_30S@lemmy.sdf.org · 1 pts · 149d
I think you're thinking of the unary numeral system. While some people do call it "base 1", it's not really a positional number system like the other base N systems. In unary, you "write" 0 by just not writing anything.
FishFace@piefed.social · 8 pts · 152d
Pinary
The_Hideous_Orgalorg@sh.itjust.works · 22 pts · 152d
3, 1, 4, 5, 9, 2, 6, 8, 7, 0
ShinkanTrain@lemmy.ml · 25 pts · 152d
Now in alphabetical order (English)
8, 5, 4, 9, 1, 7, 6, 3, 2, 0
NichEherVielleicht@feddit.org · 16 pts · 152d
Now in alphabetical order (German)
8, 3, 1, 5, 9, 0, 6, 7, 4, 2.
cepelinas@sopuli.xyz · 14 pts · 152d
Now in alphabetical order (Lithuanian)
8, 9, 2, 4, 0, 5, 7, 3, 1, 6.
brachypelmide@lemmy.zip · 14 pts · 152d
Now in alphabetical order (Polish)
4, 2, 9, 1, 8, 5, 7, 6, 3, 0.
Matty_r@programming.dev · 16 pts · 152d
Now sorted by String length (English)
1, 2, 6, 0, 4, 5, 9, 3, 7, 8
callyral@pawb.social · 9 pts · 152d
Now sorted by alphabetical order (decreasing) then length (increasing) (Portuguese)
1, 0, 3, 8, 9, 7, 6, 2, 5, 4
mech@feddit.org · 9 pts · 152d
Now sorted by my cat sitting on the numpad 12458999563333333333337
JackbyDev@programming.dev · 3 pts · 151d
Top ten numbers under 10, starting it off with an honorable mention we have 10, which is not a number less than 10, but is equal to 10. Prior to the discovery of the concept of 0 this was the tenth number.
Bgugi@lemmy.world · 9 pts · 151d
Every instance of every digit of pi in order: 000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
I'll work on it later.
balderdash9@lemmy.zip · 7 pts · 151d
Ah yes, the philosophical difference between types and tokens. E.g., "A rose is a rose is a rose" has three word types but eight word tokens. The equivocation is used to humorous effect.
ivanafterall@lemmy.world · 4 pts · 151d
"A rose is a rose is a rose" is only 6 letters! A, r, o, s, e, i.
balderdash9@lemmy.zip · 4 pts · 151d
More precisely, six letter types but nineteen letter tokens
myotheraccount@lemmy.world · 6 pts · 152d
That is every digit of Pi in base 10 - now name every digit, in any possible base!
prole@lemmy.blahaj.zone · 9 pts · 151d
myotheraccount@lemmy.world · 4 pts · 151d
Fine
HeyThisIsntTheYMCA@lemmy.world · 3 pts · 152d
Stephen.
lightsblinken@lemmy.world · 2 pts · 150d
is that Steve???
GameOverFlow@lemmy.zip · 1 pts · 152d
I start with 10
Gonzako@lemmy.world · 1 pts · 152d
Ez, just divide your unit circles cimcurference by its diameter
WhiskyTangoFoxtrot@lemmy.world · 1 pts · 152d
Every possible base is base-10.
jj4211@lemmy.world · 1 pts · 152d
Tm8gaXQgaXNuJ3Qh
Diddlydee@feddit.uk · 5 pts · 152d
How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics.
TomMasz@piefed.social · 3 pts · 152d
Not wrong. But also wrong.
jaybone@lemmy.zip · 3 pts · 152d
No for each digit, create a sequence of its index (position).
davepleasebehave@lemmy.world · 3 pts · 151d
could there be an irrational number that does not have one of the digits?
Kolanaki@pawb.social · 1 pts · 151d
Like S7evin? 🤔
Buddahriffic@lemmy.world · 1 pts · 150d
Yes, they all are like that. They need more decimal places because none of the digits are an exact match, so they use thr closest one under the actual value and then add another digit to get closer, but that digit only gets part of the way, so the same thing is done.
Irrational numbers keep doing that indefinitely. Some rational numbers, too, but they can be expressed as a fraction of exact numbers.
Slovene85@sh.itjust.works · 2 pts · 148d
Technically correct.
UltraGiGaGigantic@lemmy.ml · 2 pts · 151d
Isnt the answer "all of them"?
fnrir@lemmy.blahaj.zone · 2 pts · 151d
fun fact: πfs exists
https://github.com/philipl/pifs
lagoon8622@sh.itjust.works · 2 pts · 150d
If there was actually a zero in there, wouldn't someone not get a slice?
jeniferariza@lemmy.world · 2 pts · 151d
Mathematicians reading this just felt physical pain 😂