-
@ 3aa58172:a9b36ea3
2025-05-11 19:18:19
Just removed it. Congrats to the fist migration ever.
-
@ 0f563fe2:d15f039d
2025-05-11 16:55:00
Ok I've setup a new station created by nostr:nprofile1qqsfc6g8meewt8d02fepqw35vjdl0jspq59x3aqzj42jplznmw5hxrgpzemhxue69uhkvun9v4ehqet9vd5zucmpwdsj7qfrwaehxw309aex2mrp0yhxwmm0v3kk7unwd9hxwcnfw33k76tw9e3k7mf0qy2hwumn8ghj7un9d3shjtnyv9kh2uewd9hj7dk8rn8 and left a comment on the nostr:nprofile1qqszzre3kcqe7khp8jv4ervrl2jp5y5lz2tggtjvxvf6hzj2hvyargsprfmhxue69uhhyetvv9ujuampwejkvatwvvhxc6tkv5hsqr6jqt version. I also made sure that nostr:nprofile1qqsfc6g8meewt8d02fepqw35vjdl0jspq59x3aqzj42jplznmw5hxrgpzemhxue69uhkvun9v4ehqet9vd5zucmpwdsj7qfrwaehxw309aex2mrp0yhxwmm0v3kk7unwd9hxwcnfw33k76tw9e3k7mf0qy2hwumn8ghj7un9d3shjtnyv9kh2uewd9hj7dk8rn8 went to using it's own NIP-05 instead of Fountain to cover both bases. This is awesome!
-
@ 3aa58172:a9b36ea3
2025-05-10 19:18:21
There is no explicit work flow for this yet. The quickest solution would be that a user just creates a station and posts it as a comment. This is seen as an intent to take care and maintain the station and the wavefunc pubkey deletes the seeded one.
Another possibility would be that a pubkey with a valid nip 05 for the url entered for the station website shows up with a station event and claims it. The wavefunc app is watching for such events and then deletes the claimed station automatically.
-
@ 79be667e:16f81798
2025-05-15 20:51:36
gnostr note
-
@ bd4ae3e6:1dfb81f5
2025-05-15 20:51:36
lfg. 🦧
-
@ 0f563fe2:d15f039d
2025-05-10 19:11:50
How do you claim a station that's already on there? nostr:nprofile1qyd8wumn8ghj7un9d3shjtnhv9mx2en4de3jumrfwejj7qpq82jczunncwe0jn6frpqwq3e0qjws7yqqnc3auccqv9nte2dnd63svnpc0f
-
@ 63fe6318:330504ed
2025-05-15 14:10:46
Unique users on nostr.download content (24hrs)
https://npub1v0lxxxxutpvrelsksy8cdhgfux9l6a42hsj2qzquu2zk7vc9qnkszrqj49.blossom.band/854063f752339560153250aec7341295311ae84c623a3a620ae856a568f58c72.png
-
@ a34b99f2:c540c5bd
2025-05-15 20:51:36
1948/896873/233691
-
@ 3aa58172:a9b36ea3
2025-05-10 16:19:10
Nice!
nostr:nevent1qqswssk0xxe7t0jnrpq3mtf5jzuxxvvj3my430cvmudz80dza4zxwfqpzdmhxue69uhhwmm59e6hg7r09ehkuef0qgsq743lut8a7xqvkyz9s6u4suehngxplh8mcvq6sryz2hen690s88grqsqqqqqpu30g09
-
@ e096a89e:59351479
2025-05-10 14:43:33
Hmmm
-
@ 7ceaf7c2:4a10dd4d
2025-05-15 20:51:33
Sporting pondera recurso ao castigo de Esgaio
Lateral dos leões foi suspenso por dois jogo na sequência de expulsão do dérbi
https://www.abola.pt/futebol/noticias/sporting-pondera-recurso-ao-castigo-de-esgaio-2025051520285283578
-
@ 63fe6318:330504ed
2025-05-14 19:42:51
lol had to add nsec login because no amber on iOS, but I’ll add bunker login later
-
@ 0f563fe2:d15f039d
2025-05-08 14:56:21
nostr:nprofile1qy88wumn8ghj7mn0wvhxcmmv9uq3qamnwvaz7tmwdaehgu3wd4hk6tcqyqsmgxgs9k50czafqjz2ajf5ha2m0270whhdkwgjf6xhtey37sd9u54g2vs have you moved to v1 yet? If so were you able to get this back into your extensions after the upgrade?
-
@ 0f563fe2:d15f039d
2025-05-07 16:15:46
You definitely shouldn't; I've never seen either one in real life and just seen a news article about it and followed down the rabbit hole. This could all be complete fake news for all I know.
-
@ 3f770d65:7a745b24
2025-05-15 20:51:31
still my fav zap gif ever.
nostr:note1939rse2hyntp6ssnh3shj7kjvjzq0p2zwjtpjdsyw3gmjrd40qdsltvc5c
-
@ 0f563fe2:d15f039d
2025-05-07 16:14:33
I don't usually follow all the geoeng talk (chemtrails, etc) but the gray skies is one that I can't deny at all. I don't see near the number of blue skys I remember from times past.
-
@ c3f61460:affc84d2
2025-05-15 20:51:30
#zapathon I guess?
#bitcoin
https://image.nostr.build/41570ebefd5d665690bfe0c6e573ce64368efc17e54b51baf32a2248ef3db558.jpg
-
@ 0f563fe2:d15f039d
2025-05-07 16:13:07
Interesting TIL on it! If Gemini is correct I'd love to try something from Mazzocco Sonoma at some point if I make it out that way
-
@ 7bbb6eba:f8d21566
2025-05-15 20:51:29
Look great. Where can I try it?
-
@ 63fe6318:330504ed
2025-05-14 19:34:28
iOS testflight should be live now
https://testflight.apple.com/join/5Qh7mfvU
nostr:nevent1qqs8wc2g2dk2rq9sgnn97qgz430zwnt292cnhpp3kvc5hf8yd2admtspqqpzqcl7vvvdckzc8nlpdqg0smwsncvtl4m240py5qypec59dues2p8dqvzqqqqqqy4v2j22
-
@ 8fb94500:2ccce549
2025-05-07 16:03:39
why should I believe that is the same place?
-
@ 63fe6318:330504ed
2025-05-14 15:34:18
javascript sucks
-
@ 63fe6318:330504ed
2025-05-14 15:28:49
https://www.youtube.com/watch?v=SC2eSujzrUY
-
@ 12348c08:04d5e6b5
2025-05-07 15:09:40
Geoengineering to thank. Hopefully RFKjr puts a stop to that
-
@ 7ceaf7c2:4a10dd4d
2025-05-15 20:51:28
Neymar prestes a renovar pelo Santos com o Mundial 2026 na mira
Atacante quer participar no próximo Campeonato do Mundo às ordens de Carlo Ancelotti
https://www.abola.pt/futebol/noticias/neymar-prestes-a-renovar-pelo-santos-com-o-mundial-2026-na-mira-2025051518485516138
-
@ 63fe6318:330504ed
2025-05-14 13:28:20
Published v.0.4.0 of zap.stream app with todays changes, going to setup iOS testflight today maybe ill drop a link later for that..
# Added
- Chat raids
- Stream info card to display summary / cards
- Follow / Unfollow buttons on stream info card and chat modal card
# Fixed
- Unfocus chat when sending message
- Filter non-hls streams
**Full Changelog**: https://github.com/nostrlabs-io/zap-stream-flutter/compare/v0.3.0...v0.4.0
-
@ 3f770d65:7a745b24
2025-05-07 14:38:51
I guess it was always a vineyard but it had a bug infestation many years ago and those fields were killed and just grass during the time of the photo. TIL.
-
@ 63fe6318:330504ed
2025-05-14 08:32:27
No, but it makes you wonder if we should be eating these things at all
-
@ 4b71498e:840e51ed
2025-05-01 16:41:27
Thank you, nostr:npub1kmwdmhuxvafg05dyap3qmy42jpwztrv9p0uvey3a8803ahlwtmnsnhxqk9, nostr:npub1mpz30qp2gdr403t2apjzhla56fh94hs8zgznw5pp26q0tztw27dsu60pxm, nostr:npub1cdcc6mfj8238wph64wtywe8tm8ga7gh66mngr56wlg66vefqsk6qk3dq50, nostr:npub1vdaeclr2mnntmywm93h2p3xfkgnqcxe8prrzcny4s07q735j6d7sfkmnxz, nostr:npub1patrlck0muvqevgytp4etpen0xsvrlw0hscp4qxgy40n852lqwwsz79h9a, nostr:npub1dpna3xwwddnhhzg9ycpvlcz2ze0jdwm2rf3eqd2lf9leaewtq7tqhw0ef2, nostr:npub1nyyhnqahf3cgqzcc927x7eqyd2msgplfe27ddn6hpgu2m200wh2s0s7gan, nostr:npub1kr6vymjxs0p5l69pvlpsnrlmdksa77ycfg6794umj8a0p32xqgxsgkvzv9, nostr:npub1jjn20zj6awa6gz73423zxjqszvkzmqqyhwghwctvgy7ncrwlxg8qdavknm, nostr:npub1x5fvukq4fvhxfxqg7sg3r6e0t3q2z6rjhht5vsc0r7hmv685e49sr8yfmn, nostr:npub18kpw3akvdsyk239lx0jgwksr74sq4nlha3r8u9g2rnrhztfpfhysy469c4, and nostr:npub1693220pmp0a4c04a0p7hkz874vsxkyfrvtk2yk4zjyj3e4c0ugjs3r4j0c!
At some point in the past, you've each given some sats to Bitcoin Chattanooga, which has helped support us in our mission to onboard the Chattanooga area to the Bitcoin standard! 🧡🙏 Most of your donations were merely from zaps, but some of you have directly donated to our Geyser project, so 𝘢𝘭𝘭 of you have been awarded with our Bitcoin Chatt Nostr Badge:
https://image.nostr.build/0e11c4f6c1d0e2947a46d89a26420272f06e8be490cfc0d89ca1f25a8e2fc14a.jpg
And we now have new rewards in our Geyser project! From t-shirts, to books, to coasters, there are several things to choose from. Check it out at:
https://geyser.fund/project/bitcoinchatt
-
@ 63fe6318:330504ed
2025-05-13 17:29:02
Im eating a salt lamp atm
-
@ 6f23fbd0:94a7fc7e
2025-05-15 20:51:25
#zapathon https://image.nostr.build/765db82428eeab363e3039723691621c440b81978ea17fab4cec9e01380b6e27.jpg
-
@ 63fe6318:330504ed
2025-05-13 17:25:21
So if I just east salt directly what am I enhancing the taste of? My mouth?
-
@ 63fe6318:330504ed
2025-05-13 17:22:16
Whats up with salt, some foods have no taste without it... like is it just the salt that tastes good or what?
-
@ 8230c622:26642641
2025-05-15 20:51:23
Well i see both 🤷🏽♀️
-
@ 0f563fe2:d15f039d
2025-04-30 08:14:23
Knocked that one out already yesterday 😂 nostr:nevent1qqsqpgnmkvh2v9vqlgt0lygn0vd9k9n5pdxjwclj2e6zd3qm5ygexxqpydmhxue69uhhyetvv9ujuem0dajx6mmjde5kuemzd96xxmmfdchxxmmd9upzqr6k8l3vlhccpjcsgkrtjkrnx7dqc87ul0psr2qvsf2lx0g47quaqvzqqqqqqyygxr4q
-
@ bd4ae3e6:1dfb81f5
2025-05-15 20:51:21
found something:
https://en.m.wikipedia.org/wiki/Emotional_intelligence
🦧🦧🦧🦧
-
@ 63fe6318:330504ed
2025-05-13 15:31:53
Pushed v0.3.0 of zap.stream app with todays improvements:
# Added
- Stream goals rendering / zapping
- Auto-update stream info (viewers/title) while on stream page
# Changed
- Chat message modal design (Icons open reactions/zaps)
- Performance of stream lists and chat (ListView)
# Fixed
- Login state after restarting app
**Full Changelog**: https://github.com/nostrlabs-io/zap-stream-flutter/compare/v0.2.2...v0.3.0
-
@ d981591e:f7c0ae37
2025-05-15 20:51:18
“Big Win: Court Rules Pfizer Can Be Sued for Deception”
From Daily Clout by Dr. Naomi Wolf
A federal judge ruled this week that the State of Kansas may proceed with its consumer protection lawsuit against Pfizer in state court, rejecting the pharmaceutical company’s effort to move the case to federal jurisdiction under the Public Readiness and Emergency Preparedness (PREP) Act. The decision could mark a pivotal moment in efforts to hold […]
May 15th 2025 4:38pm EDT
Source Link: https://dailyclout.io/big-win-court-rules-pfizer-can-be-sued-for-deception/
Share, promote & comment with Nostr: https://dissentwatch.com/boost/?boost_post_id=970125
-
@ 63fe6318:330504ed
2025-05-12 15:26:47
Pushed a new version of zap.stream v0.2.2, lots of important stuff done today!
-Chat message parsing (links / mentions)
-Chat message zaps / reactions
-Chat modal (long press) for zaps / reactions / mute
-Top zappers
-Login with key
-Create new basic account
https://github.com/nostrlabs-io/zap-stream-flutter/releases/tag/v0.2.2
-
@ cba73eb7:c6c8685b
2025-04-29 21:29:55
You should be walking in the morning.
-
@ 63fe6318:330504ed
2025-05-12 08:23:14
Yea same for me, not sure why but it will be fixed today
-
@ 6398e15e:55b6f1a4
2025-05-15 20:51:13
Will message you for details
-
@ 77ce56f8:362f6ca7
2025-05-15 20:51:04
Have you started zapping before the #zapathon yet?
-
@ 63fe6318:330504ed
2025-05-11 13:12:44
Actually broken legs every time
-
@ 20214b78:a9d72abc
2025-04-24 19:34:15
Sorry, incorrect assumption on my part.
-
@ 63fe6318:330504ed
2025-05-11 12:09:02
When I was implementing it I was expecting it to be like nip96 too lol
-
@ 0f563fe2:d15f039d
2025-04-24 16:59:31
Thankfully this should be a one and done
-
@ 54609048:8e22ba03
2025-05-15 20:51:02
Gosh you made my day!! 😂😂😂
-
@ 63fe6318:330504ed
2025-05-10 18:12:12
Custom pricing isnt enabled in CA region, upgrades not yet possible for custom pricing.
82% memory is memory assigned to the VM from the host, its not actual consumption inside the VM.
-
@ 3f770d65:7a745b24
2025-05-15 20:50:57
get to zapping. there's work to do.
-
@ 63fe6318:330504ed
2025-05-10 14:31:37
Driving, don't tell the police
-
@ 0f563fe2:d15f039d
2025-04-24 16:55:07
Especially after you look up how cheap the machines actually are
-
@ 63fe6318:330504ed
2025-05-10 13:06:01
Its planned, once viewing and interacting is solid
-
@ e2260a7a:f97399ac
2025-04-24 16:53:15
Damn I gotta get into the baby business 🤣
-
@ 664e070f:51cdb7aa
2025-05-15 20:50:57
Yes!?
-
@ 0f563fe2:d15f039d
2025-04-24 16:46:37
No fetuses were harmed in the production of this ultrasound
-
@ 6b0a60cf:b952e7d4
2025-05-15 20:50:56
みんなそれぞれユーザスタイルシート工夫しながら頑張って使ってきたよね
nostr:nevent1qvzqqqqqqypzq6c2vr8l8m9952e9qhxt8acn8kzzypzuhm6q70fvvxylkzu49e75qy88wumn8ghj77tpvf6jumt99uqjzamnwvaz7tmjv4kxz7fddfczumn0wd68ytnhd9ex2erwv46zu6ns9uqzqphhqltpnygrm5xc0qg43wetvtr5j6s9dk96v5jm8dka542jnusawmkyvl
-
@ 182052d2:e48c3d7a
2025-05-15 20:50:54
Eyes
-
@ 20214b78:a9d72abc
2025-04-24 16:46:03
Ultrasound harms fetuses, you'll be paying to damage the child.
-
@ 0f563fe2:d15f039d
2025-04-24 16:42:00
I feel like I could have had a full vacation in Bosnia plus the scan now
-
@ 63fe6318:330504ed
2025-05-10 12:24:20
That looks great!
-
@ aa746c02:debe9986
2025-05-15 20:50:39
#zapathon https://i.imgur.com/3iSQH6O.gif
nostr:nevent1qqsxk839yjvmc8jytp9jr0gwumcl87c2jaeskduv79utj3l9akudxuszyqlhwrt96wnkf2w9edgr4cfruchvwkv26q6asdhz4qg08pm6w3djgqcyqqqqqqggyvzwe
-
@ 0f563fe2:d15f039d
2025-04-24 16:41:02
Land of the free, home of the broke it seems
-
@ 63fe6318:330504ed
2025-05-10 09:27:29
nostr:nprofile1qqsyvrp9u6p0mfur9dfdru3d853tx9mdjuhkphxuxgfwmryja7zsvhqpzamhxue69uhhv6t5daezumn0wd68yvfwvdhk6tcpz9mhxue69uhkummnw3ezuamfdejj7qgwwaehxw309ahx7uewd3hkctcscpyug amethyst keeps crashing for me since I added another account
-
@ 3f770d65:7a745b24
2025-05-15 20:50:39
jamming to nostr:npub1tw0t53nnge3m5wmzhzqpudr7whe7qpvyyj9q2dqnsf8ef97xgsrqugjc3r on https://www.agatheringofbatteries.com/ and zapping all the notes for #zapathon
-
@ c558c7cc:b0b7b89e
2025-05-15 20:50:38
🤖 Tracking strings detected and removed!
🔗 Clean URL(s):
https://open.substack.com/pub/bitvocation/p/i-left-the-fiat-world-to-work-as
❌ Removed parts:
?utm_source=share&utm_medium=android&r=mvn2i
-
@ 0f563fe2:d15f039d
2025-04-24 16:40:02
Haha I wish this was pregnancy related nostr:nevent1qqs9f3avt94kax9hdkx3v0f6rck3aj5ur97mr9dss3hcpdvjhwmcc6cpy9mhxue69uhhyetvv9ujumr90p5kuem5dahxy6t5vdhkjm3wdaexwtczyq84v0lzel03sr93q3vxh9v8xdu6ps0ae77rqx5qeqj47v73tupe6qcyqqqqqqg9a02nr
-
@ 63fe6318:330504ed
2025-05-09 17:13:14
2 days build might get ya some bugs lol
-
@ 61bf790b:fe18b062
2025-04-24 16:39:10
And they have to get like 22 of them
-
@ 45f195cf:3cab7627
2025-05-15 20:50:37
Not if you go lefty
-
@ 12348c08:04d5e6b5
2025-04-24 16:37:55
Pregnancy is so expensive man it's wild
-
@ 63fe6318:330504ed
2025-05-09 16:42:15
Is there something like amber on ios?
-
@ 4a93cff3:0471df3b
2025-05-15 20:50:32
New speed reduction signs #Zapathon
https://blossom.primal.net/bd0847fa0c567c9290e02cee7552a944dd9c0b4834d80cd318eb352a781dc83d.mp4
-
@ 0294d19d:72bd1a1a
2025-04-22 19:01:32
🫡
-
@ 0f563fe2:d15f039d
2025-04-22 18:49:18
I'm actually updating my Lnbits at the moment but thank you for the thought!
-
@ b6ea4a26:3a6b813d
2025-05-15 20:50:32
今日は健康診断でコーヒーは憚れるので白湯を飲む
-
@ 0294d19d:72bd1a1a
2025-04-22 18:48:37
can’t zap you:(
-
@ 48ab8fce:426e30de
2025-05-15 20:50:31
No veo últimamente todas las notificaciones por acá.
-
@ 63fe6318:330504ed
2025-05-09 16:38:44
👀
https://image.nostr.build/893218aa8de7d394b32988a58da0b7db9dcbfd61a384bd7340d4abecd6b361f7.jpg
-
@ 76d8a3c3:5eddc054
2025-04-21 00:51:45
Because all you're doing is puking out fallacies.
-
@ 0428959e:4ceb73e0
2025-05-15 20:50:30
A composition of mine I got to play at my first ever gig! Happy with the way it turned out and I especially like the chord changes at the end. Just can't get enough of that minor 4 sound
https://video.nostr.build/21365a8d90ed451a5c526aafc3d1d98a23fab85e9b5e208738c260390c9851a8.mp4
#music #guitarstr
nostr:nprofile1qqsrpc9p99sxwp49cyznqgjv4wz0fanzfv03hpqc43j3c52keuhqr9qpzamhxue69uhhyetvv9ujuurjd9kkzmpwdejhgtcpzdmhxue69uhhqatjwpkx2urpvuhx2ue0qy2hwumn8ghj7un9d3shjtnyv9kh2uewd9hj7ghnt6t
nostr:nprofile1qqsvrejstspd4rgmpfdn6mdkuxdjav3de420p6rrqmkg5gfeq2e32lsppamhxue69uhh5cts9emkzarrdqq3samnwvaz7tmjv4kxz7fwd4hk6mmnw3ezuurfde4szyrhwden5te0dehhxarj9emkjmn98uk5dx
nostr:nprofile1qqsz3jspndutf9xzt2w694j9jadg2qw8axd3zvpwtjl8frh9j07t9nqpzamhxue69uhky6t5vdhkjmn9wgh8xmmrd9skctcppemhxue69uhkummn9ekx7mp0qywhwumn8ghj7mn0wd68ytndw46xjmnewaskcmr9wshxxmmd9uufdwtc
I thought you guys might enjoy this
-
@ 76d8a3c3:5eddc054
2025-04-20 21:53:21
Come with good faith and I'll talk. But fallacies are boring and not worth engaging with.
-
@ 63fe6318:330504ed
2025-05-09 15:29:44
Also available via nostr:nprofile1qqs83nn04fezvsu89p8xg7axjwye2u67errat3dx2um725fs7qnrqlgzqtdq0 now
nostr:nevent1qqs8f5smjdjwt4pudtcacyzs2772w44ns6llfpt2zppc8lpfkmvvp5cpqqpzqcl7vvvdckzc8nlpdqg0smwsncvtl4m240py5qypec59dues2p8dqvzqqqqqqygax0av
-
@ 401854bb:2327acb8
2025-05-15 20:50:25
👀
-
@ 63fe6318:330504ed
2025-05-09 14:03:15
Yea streams follow NIP-36
-
@ 76d8a3c3:5eddc054
2025-04-20 21:01:11
Strawman(again), Appeal to consequences, hasty generalization, false dilemma(again). Try again.
-
@ 63fe6318:330504ed
2025-05-09 13:40:04
I think nostr:nprofile1qqs8y6s7ycwvv36xwn5zsh3e2xemkyumaxnh85dv7jwus6xmscdpcyg6fu2lh needs to whitelist it, io.nostrlabs.zap_stream_flutter
-
@ bb1c5151:3751c3b3
2025-04-20 16:12:36
Lightning proof of concept exist and is scaling if Epic got behind it they would help push and fund scaling solutions ... Im super excited for more BTC integration into gaming, seems like industry has become a victim of fiat incentives = Ubisoft current form
-
@ 0f563fe2:d15f039d
2025-04-20 11:39:40
The simple answer is because fiat is dying. The deeper answer is that this entire statement is misleading. While Lightning does have routing and liquidity mechanics under the hood, those aren't issues a company like Epic would ever have to deal with directly. Epic would likely use a payment provider, like nostr:nprofile1qyf8wumn8ghj7mn0wd68ytn6vfjzuem8qqsv73e7h6tndwngn3ccmc74auufpx722ldncw8rl8087hddljyw6mc5ux85g that I mentioned above with Splitgate, that abstracts all that away. And to say fiat has 'no such problems' ignores the real world issues with fraud, chargebacks, fees and settlement delays that fiat rails still deal with on the daily. So the comparison doesn’t hold.
Also, the part I was saying was wrong wasn’t about fiat vs. Lightning. It was your blanket claim that Lightning is 'jank' and can’t scale. That’s just not grounded in reality. Lightning is already handling microtransactions in live gaming environments today. Even my Rust server, running with just a handful of open channels, has no issue routing sats instantly and reliably. Lightning payments at scale isn’t theoretical, it’s happening right now, in the wild.
As for Zenon, calling it a 'Lightning successor' is pure shitcoin marketing. It’s a speculative project with no real adoption, no meaningful developer ecosystem and no demonstrated ability to scale in production plus it includes the need for a shitcoin. Meanwhile, Lightning has global reach, developer momentum, enterprise interest and actual users. Don’t let a buzzword filled whitepaper distract from a protocol that’s already working. Hype doesn't scale, working code does.
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@ b300db32:0bf5db3a
2025-05-15 20:50:22
A relação entre a **Teoria dos Grafos** e a **Teoria Geométrica da Medida (TGM)** é uma área emergente e interdisciplinar, com conexões profundas que se manifestam em problemas de otimização, geometria discreta, análise de dados e até em física matemática. Embora as duas áreas tenham origens e objetivos distintos, suas interações revelam insights poderosos sobre estruturas discretas e contínuas. Abaixo, exploramos os principais pontos de contato, desafios e o "santo graal" dessa interseção.
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### **1. Pontos de Contato Principais**
#### **a) Aproximações Discretas de Espaços Contínuos**
- **Grafos como modelos discretos de variedades**: Grafos podem ser usados para aproximar superfícies ou variedades diferenciáveis. Por exemplo, a teoria espectral de grafos (autovalores do Laplaciano de um grafo) está intimamente relacionada à teoria espectral do Laplaciano em variedades riemannianas. Isso é crucial em geometria computacional e aprendizado de máquina, onde dados discretos são interpretados como amostras de uma estrutura contínua.
- **Exemplo**: O **Teorema de Cheeger** conecta a expansão de um grafo (uma propriedade combinatória) à geometria de uma variedade (curvatura e volume), inspirando algoritmos de partição de grafos em aplicações como segmentação de imagens.
#### **b) Fluxos Geométricos Discretos**
- **Fluxos de curvatura média**: Na TGM, fluxos como o de curvatura média são usados para estudar superfícies mínimas. Em grafos, versões discretas desses fluxos aparecem em problemas de otimização de redes e dinâmicas de partição, como o **fluxo de Allen-Cahn** em redes.
- **Aplicação**: Algoritmos de detecção de comunidades em redes sociais podem ser modelados como versões discretas de fluxos geométricos.
#### **c) Teoria de Medidas em Grafos e Limites de Grafos Grandes**
- **Graphons e limites de grafos densos**: Na teoria de limites de grafos (convergência de sequências de grafos grandes), objetos como **graphons** são funções mensuráveis que descrevem o limite de grafos densos. Isso usa ferramentas da teoria da medida e integração.
- **Exemplo**: O **Princípio da Grande Deviação** em TGM é aplicado para analisar a probabilidade de eventos raros em grafos aleatórios, como a formação de clusters.
#### **d) Desigualdades Isoperimétricas**
- **Isoperimetria em grafos vs. TGM**: Ambas as áreas estudam desigualdades isoperimétricas, que relacionam o volume de um conjunto à área de sua fronteira. Na TGM, isso se aplica a superfícies mínimas; em grafos, a **expansão de um grafo** (número isoperimétrico) é central para entender conectividade e robustez.
- **Conexão**: O **Teorema de Buser** liga a constante isoperimétrica de uma variedade à sua geometria, enquanto em grafos, versões discretas inspiram algoritmos de corte mínimo (min-cut).
#### **e) Transporte Ótimo e Geometria de Grafos**
- **Transporte ótimo**: A TGM utiliza o transporte ótimo para comparar medidas e estudar formas. Em grafos, isso se traduz em problemas de matching ou alocação, como o **problema de transporte em redes**.
- **Aplicação**: Algoritmos de correspondência de formas em visão computacional usam versões discretas do transporte ótimo.
---
### **2. Influências Mútuas e Descobertas Significativas**
- **Geometria Não-Lisa**: A TGM permite estender conceitos de geometria diferencial (como curvatura) a espaços não suaves, inspirando definições análogas em grafos, como **curvatura de Ollivier** em redes.
- **Otimização Combinatória**: Ferramentas da TGM, como a teoria de varifolds, têm sido adaptadas para resolver problemas de otimização em grafos, como o **problema de Steiner** em redes.
- **Aprendizado de Máquina**: A interseção entre grafos e TGM é vital em **aprendizado sem supervisão**, onde técnicas como **laplaciano normalizado** em grafos são usadas para inferir a geometria subjacente de dados.
---
### **3. O "Santo Graal" da Área**
O objetivo principal seria desenvolver uma **teoria unificada** que conecte rigorosamente estruturas discretas (grafos) e contínuas (variedades e conjuntos em espaços euclidianos), permitindo:
- **Análise Multiescala**: Estender ferramentas da TGM (como medidas de Hausdorff) para analisar grafos em diferentes níveis de granularidade.
- **Convergência Discreta-Contínua**: Formalizar condições sob as quais sequências de grafos convergem para objetos contínuos (ex.: grafos como aproximações de variedades).
- **Algoritmos Geometricamente Invariantes**: Criar métodos robustos para dados que preservem propriedades geométricas mesmo em ambientes discretos ou ruidosos.
---
### **4. Fraquezas e Limitações**
1. **Perda de Estrutura Diferencial**: Grafos não possuem uma estrutura de cálculo diferencial intrínseca, dificultando a tradução direta de conceitos como derivadas ou curvaturas.
2. **Complexidade Computacional**: Muitos problemas na interseção entre as áreas são NP-difíceis (ex.: encontrar superfícies mínimas em grafos), limitando aplicações práticas.
3. **Discretização Inadequada**: Alguns resultados da TGM dependem de suavidade (ex.: teoremas de regularidade), que não se mantêm em grafos discretos, exigindo aproximações heurísticas.
4. **Falta de Unificação Teórica**: Ainda há pouca consenso sobre como formalizar rigorosamente a relação entre objetos discretos e contínuos, especialmente em dimensões altas.
---
### **5. Conclusão**
A interseção entre teoria dos grafos e teoria geométrica da medida representa uma fronteira promissora para resolver problemas em ciência de dados, física estatística e geometria computacional. Seu "santo graal" seria a criação de uma ponte teórica e prática entre o discreto e o contínuo, permitindo avanços em áreas como aprendizado de máquina interpretável, simulação de materiais e análise de redes complexas. No entanto, desafios técnicos e conceituais permanecem, exigindo colaborações interdisciplinares entre matemáticos, cientistas da computação e engenheiros.
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@ 39cd6acd:a2427731
2025-05-15 20:50:13
yaaaas 😁
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@ 76d8a3c3:5eddc054
2025-04-20 11:10:47
False dilemma, straw man, appeal to ignorance, begging the question. Try again.
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@ 63fe6318:330504ed
2025-05-09 13:34:40
Ah yes, forgot, few minutes
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@ 0f563fe2:d15f039d
2025-04-20 02:15:11
Even worse I hadn't yet met my neighbors so my first time was them telling me that they ripped out posts and messed up their drive while bringing it in but never put anything back in place. Great way to start that relationship 🤦♂️
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@ 0f563fe2:d15f039d
2025-04-20 02:13:09
The delivery company was the seller in this instance. The guy is the delivery company for Clayton Homes in our region and presumably gets these trailers when delivering new ones then resells them. We bought this one because it's cheap and to hold us over while we build. Luckily I have text messages from him + a neighbors reports they damaged it while bringing up the drive.
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@ f6adc1ca:9fece65f
2025-05-15 20:50:07
https://cornychat.com/nostrradio
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@ 63fe6318:330504ed
2025-05-09 13:29:23
** Amber login only
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@ 12348c08:04d5e6b5
2025-04-20 02:00:44
Report this to the delivery company and demand a new home! That's ridiculous
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@ f41f9a99:93a1fe8e
2025-05-15 20:50:04
$103,483.15 / #bitcoin
≅ ₱5,772,393.59
🟢 0.32% ≅ ₱18,582.40
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@ 12d2c9f0:b1d9e107
2025-05-15 20:50:03
米関税措置 赤澤経済再生相 3回目の閣僚交渉へ 来週後半訪米か #nhk_news
https://www3.nhk.or.jp/news/html/20250516/k10014807191000.html