Greg Egan on Nostr: The probabilities that if you pick two points at random in a unit n-cube they’re ...
The probabilities that if you pick two points at random in a unit n-cube they’re less than a distance 1 apart.
Equivalently, the average volume of the intersection between a unit n-ball with centre chosen at random within the n-cube, and the n-cube.
Published at
2023-11-19 14:02:25Event JSON
{
"id": "922d5e1ec78cf6dcd7208907ea03956604217ca09b9b164cdd689384d5936439",
"pubkey": "0037e9f1404aa866c76ed1358206ac5387eb2d3589361a3802af0f260bda26d7",
"created_at": 1700402545,
"kind": 1,
"tags": [
[
"proxy",
"https://mathstodon.xyz/users/gregeganSF/statuses/111437581194096770",
"activitypub"
]
],
"content": "The probabilities that if you pick two points at random in a unit n-cube they’re less than a distance 1 apart.\n\nEquivalently, the average volume of the intersection between a unit n-ball with centre chosen at random within the n-cube, and the n-cube.\n\nhttps://media.mathstodon.xyz/media_attachments/files/111/437/577/921/195/916/original/70ed4d40368244db.png",
"sig": "682a8cd119dd567cbceccd28e9cdd8f6f7caefaf8dc6ec63bf6c8546118c1a5bbeab5b5a122084cab2efb194bcdba1ac6a4965328ee4ec604c23ebf5ceaf4768"
}