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.
Tom’s feelings are real
If transcendental.
asked rufus for last four digits of pi. it offered some books on pi after 'thinking'
Every digit of π in binary: {0,1}
Ooh! Now do it in base π.
I think it would also be {1,0}, because π = ... + 0×π^2^ + 1×π + 0×1 + 0×π^(-1) + ... = (...00010.000...)_π, right?
If your only digit is pi, I believe it's {1}
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.
Pinary
3, 1, 4, 5, 9, 2, 6, 8, 7, 0
Now in alphabetical order (English)
8, 5, 4, 9, 1, 7, 6, 3, 2, 0
Now in alphabetical order (German)
8, 3, 1, 5, 9, 0, 6, 7, 4, 2.
Now in alphabetical order (Lithuanian)
8, 9, 2, 4, 0, 5, 7, 3, 1, 6.
Now in alphabetical order (Polish)
4, 2, 9, 1, 8, 5, 7, 6, 3, 0.
Now sorted by String length (English)
1, 2, 6, 0, 4, 5, 9, 3, 7, 8
Now sorted by alphabetical order (decreasing) then length (increasing) (Portuguese)
1, 0, 3, 8, 9, 7, 6, 2, 5, 4
Now sorted by my cat sitting on the numpad 12458999563333333333337
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...
I'll work on it later.
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.
"A rose is a rose is a rose" is only 6 letters! A, r, o, s, e, i.
More precisely, six letter types but nineteen letter tokens
That is every digit of Pi in base 10 - now name every digit, in any possible base!
Fine
Stephen.
is that Steve???
I start with 10
Ez, just divide your unit circles cimcurference by its diameter
Every possible base is base-10.
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How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics.
could there be an irrational number that does not have one of the digits?
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.
Like S7evin? 🤔
Not wrong. But also wrong.
No for each digit, create a sequence of its index (position).
Technically correct.
Isnt the answer "all of them"?
If there was actually a zero in there, wouldn't someone not get a slice?
Mathematicians reading this just felt physical pain 😂
fun fact: πfs exists
https://github.com/philipl/pifs