nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqzxqv0ngagrdmyy0xsrjf977hyyzphl0n3hrrsgelef6fhu76qcvqgqhsm0 (nprofile…hsm0)
The determinant is algebraically non-zero. It is just truly very, very small.
No, the vector sum of the fields at the sample points is not zero.
The 83 sample points are arranged perfectly symmetrically around the x-axis, but that really has nothing to do with it. Changing the number of grid points (where the rings intersect the plane) and sample points, and moving them into either less symmetrical *or* more symmetrical configurations leaves det(T) of the same order of magnitude.
Greg Egan
npub1qq…j5nhv
2025-10-09 12:05:44 UTC
in reply to nevent1q…xxkk
Author Public Key
npub1qqm7nu2qf25xd3mw6y6cyp4v2wr7ktf43ymp5wqz4u8jvz76ymtsjj5nhvPublished at
2025-10-09 12:05:44 UTCEvent JSON
{
"id": "44bda3325f465255974f1c165e121826eb8bbc4a32a7d09fb7bc282ce80db840",
"pubkey": "0037e9f1404aa866c76ed1358206ac5387eb2d3589361a3802af0f260bda26d7",
"created_at": 1760011544,
"kind": 1,
"tags": [
[
"p",
"1180c7cd1d40dbb211e680e492fbd721041bfdf38dc638233fca749bf3da0618",
"wss://relay.mostr.pub"
],
[
"p",
"b66c446a3c6f11211d390934237b8cc68b965daf44327f2c72037db7f5940012",
"wss://relay.mostr.pub"
],
[
"e",
"989121536a5dfb4e1ee61c712ccedcddf842e098276d163c45e6b5944bc37b80",
"wss://relay.mostr.pub",
"reply"
],
[
"proxy",
"https://mathstodon.xyz/users/gregeganSF/statuses/115344116571308567",
"activitypub"
],
[
"client",
"Mostr",
"31990:6be38f8c63df7dbf84db7ec4a6e6fbbd8d19dca3b980efad18585c46f04b26f9:mostr",
"wss://relay.mostr.pub"
]
],
"content": "nostr:nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqzxqv0ngagrdmyy0xsrjf977hyyzphl0n3hrrsgelef6fhu76qcvqgqhsm0 \n\nThe determinant is algebraically non-zero. It is just truly very, very small.\n\nNo, the vector sum of the fields at the sample points is not zero.\n\nThe 83 sample points are arranged perfectly symmetrically around the x-axis, but that really has nothing to do with it. Changing the number of grid points (where the rings intersect the plane) and sample points, and moving them into either less symmetrical *or* more symmetrical configurations leaves det(T) of the same order of magnitude.",
"sig": "704aa1ce4886b87c85e5f183b48c8f67e0d359a792e99111f689667d2b0907a08ef8f49902c683c43d12390acfa167cd829b3e06f6185fdd893bf00d6a7112f3"
}