Skewe's number, once postulated as the upper bound of the point where Li(n) became smaller than pi(n).
10^10^10^34
To compare, the number of protons in the universe is around 10^80, the number of possible chess games is larger, around 10^10^50. If the universe were the chessboard, the protons the chessmen and any interchange in the position of two protons a move, then the number of possible games is somewhere around Skewe's number.
Thanks to G. H. Hardy for the mindblowing explanation.
Originally posted by XanthosNZThanks, that made very little sense to i'm afraid. Cool video though, don't you think? 🙂
Skewe's number, once postulated as the upper bound of the point where Li(n) became smaller than pi(n).
10^10^10^34
To compare, the number of protons in the universe is around 10^80, the number of possible chess games is larger, around 10^10^50. If the universe were the chessboard, the protons the chessmen and any interchange in the position of two pr ...[text shortened]... is somewhere around Skewe's number.
Thanks to G. H. Hardy for the mindblowing explanation.
2 edits
Originally posted by XanthosNZWhen you post something like this you need to clean it up and give your sources, dude.
Skewe's number, once postulated as the upper bound of the point where Li(n) became smaller than pi(n).
10^10^10^34
To compare, the number of protons in the universe is around 10^80, the number of possible chess games is larger, around 10^10^50. If the universe were the chessboard, the protons the chessmen and any interchange in the position of two pr ...[text shortened]... is somewhere around Skewe's number.
Thanks to G. H. Hardy for the mindblowing explanation.
Here's a clearer explanation:
http://en.wikipedia.org/wiki/Shannon_number
Originally posted by arrakisLOL! Arrakis, you are just the funniest man on here.
When you post something like this you need to clean it up and give your sources, dude.
Here's a MUCH BETTER explanation:
The number of legal positions in the game of chess is estimated to be between 1043 and 1050. As a comparison, the number of atoms in the Universe, to which it is often compared, is estimated to be between 4×1078 and 6×1079
http://en.wikipedia.org/wiki/Shannon_number
Now isn't that so much clearer to the reader?
Thanks for the ultra clear explanation. I had my IDEAS about the number of CHESS positions all upside down.
D
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Originally posted by arrakisI'm afraid you've become confused. 10^43 - 10^50 is the number of legal positions in chess (it says so right on the page you mentioned). Shannon's estimate of 10^118 as the number of possible games is based on a number of estimates and as you can see here:
When you post something like this you need to clean it up and give your sources, dude.
Here's a MUCH BETTER explanation:
The number of legal positions in the game of chess is estimated to be between 1043 and 1050. As a comparison, the number of atoms in the Universe, to which it is often compared, is estimated to be between 4×1078 and 6×1079
http://en.wikipedia.org/wiki/Shannon_number
Now isn't that so much clearer to the reader?
http://mathworld.wolfram.com/Chess.html
has been superceded by more recent estimates (Hardy 1999 being the most recent).
You've also confused atoms and protons, I said protons you are talking about atoms. They are not the same thing.
And after all that, what does that have to do with Skewe's number?
EDIT: My point remains despite you editing out all the content you copied from the wikipedia page.
1 edit
Originally posted by XanthosNZRead my message again. The first one adjusted the exponents to read as ordinary text and before I could edit it everyone jumped on it.
I'm afraid you've become confused. 10^43 - 10^50 is the number of legal positions in chess (it says so right on the page you mentioned). Shannon's estimate of 10^118 as the number of possible games is based on a number of estimates and as you can see here:
http://mathworld.wolfram.com/Chess.html
has been superceded by more recent estimates (Hardy 1999 be y point remains despite you editing out all the content you copied from the wikipedia page.
And yes, you were comparing photons while was comparing atoms.
