-

@ 15af9e02:ccd7c6d9
2025-05-12 17:06:00
Exactly the same thing with previous cicles: greed above freedom.
-

@ f03df3d4:a4d4f676
2025-05-12 17:05:55
Block 896433
25 - high priority
18 - medium priority
13 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-

@ 7f5c2b4e:a818d75d
2025-05-12 17:04:10
You could get him one under a condition he figures out how to set up Graphene on it 😄
-

@ b7ed68b0:55ed32fc
2025-05-12 17:03:49
nostr:nprofile1qqstnr0dfn4w5grepk7t8sc5qp5jqzwnf3lejf7zs6p44xdhfqd9cgspzdmhxue69uhhwmm59e6hg7r09ehkuef0xzlnyc I see the green microphone in use icon pop up as soon as I grant global microphone access, even though there is no app actively using the microphone, and nothing in the history of microphone access.
Any idea what's up here?
#GrapheneOS
-

@ 296842ea:ac34c17e
2025-05-12 17:03:07
feeling it 🧬✨
-

@ 68c90cf3:99458f5c
2025-05-12 17:02:28
I’m logged in with my npub and see my own notes and articles. If I use my nsec will I see my follows’ notes? If so it would be great to use a browser extension.
-

@ 7f5c2b4e:a818d75d
2025-05-12 17:02:14
Why? Whatcha gonna do when it’s ATH?
And please don’t say “sell” — I won’t believe you anyways 😉
-

@ 67ada8e3:16052171
2025-05-12 17:01:52
Not even sure what "this cycle" means anymore.
-

@ 6bb0082d:0146ed0a
2025-05-12 17:01:19
I thought Minestrone is a soup. 🤔
-

@ 1ae011cb:1257a556
2025-05-12 17:00:55
Block 896433
19 - high priority
14 - medium priority
10 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-

@ cbab7074:f9f0bd61
2025-05-12 17:00:55
Block 896433
19 - high priority
14 - medium priority
10 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-

@ e7bf8dad:839ef3db
2025-05-12 17:00:55
Block 896433
19 - high priority
14 - medium priority
10 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-

@ 7f5c2b4e:a818d75d
2025-05-12 17:00:52
Ok, so media feed on Nostur got me a bit confused. Being used to latest posts being actually fresh just made me wish Derek a good night while it’s not late enough for where he is to go to sleep.
Only after posting I noticed his post is 14h old.
Been using Nostr for years now, yet I again and again re-realize that paying attention is super important on Nostr.
nostr:nevent1qqsyz3uyr6cmu2lzy37wk97ss6x9n3w82rghyu60lwfa4a0vfq3fdaqzypl4c26wfzswnlk2vwjxky7dhqjgnaqzqwvdvz3qwz5k3j4grrt46qcyqqqqqqgpr3mhxue69uhksctkv4hz6ar0deujuv33d9jx2ctn9ehhyecc0w20v
-

@ 71ecabd8:e4885975
2025-05-12 17:00:00
https://smartflowsocial.s3.us-east-1.amazonaws.com/clients/cm7kdrwdk0000qyu6fwtd96ui/8516f528-ad83-432b-80b1-7131131cb0dc.jpg
-

@ f03df3d4:a4d4f676
2025-05-12 16:55:55
Block 896433
14 - high priority
12 - medium priority
9 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-

@ 7f5c2b4e:a818d75d
2025-05-12 16:55:51
🌸
-

@ 7f5c2b4e:a818d75d
2025-05-12 16:55:30
GN Derek. Have a good rest — big things await you tomorrow ✊
-

@ b133bfc5:49d5789d
2025-05-12 16:55:28
https://image.nostr.build/52f3371d87b7d36831b963b4f42b27f50ae3d9f28ec7059daaf78bfc7f4f7237.jpg
nostr:note1t3rt5afz6u5vy3zkeu5lmn20acf6z2vlpeeyzlyxq39yw6kre9yq7ssvfx
-

@ d662c10f:78d039af
2025-05-12 16:54:30
🌺
-

@ 7f5c2b4e:a818d75d
2025-05-12 16:52:55
This ☝️
-

@ 55e343e6:880acd1b
2025-05-12 16:52:11
want another prediction? 😂 zuck’s a genius and sneaky as hell. he knows bitcoin adoption is happening fast. he’ll be the first to plug bitcoin into all his platforms and he’ll capitalize on it harder than anyone ever will.
-

@ e7bf8dad:839ef3db
2025-05-12 16:50:55
Block 896433
11 - high priority
10 - medium priority
8 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-

@ f03df3d4:a4d4f676
2025-05-12 16:50:55
Block 896433
11 - high priority
10 - medium priority
8 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-

@ 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
-

@ 044536c5:f8c80e46
2025-05-12 17:07:36
Roberta Gemma - 17.09.22
big tits, milf, , blowjob, blonde, lingerie, interracial
https://static.eporner.com/thumbs/static4/1/13/134/13411193/3_360.jpg
https://www.eporner.com/video-Gzn88CI7VmL/roberta-gemma-17-09-22/
-

@ 63fe6318:330504ed
2025-05-12 08:23:14
Yea same for me, not sure why but it will be fixed today
-

@ 30758536:553a48f2
2025-05-12 17:03:59
Yes. But. At what cost?🤡
-

@ 5f7cb83e:eb31adb9
2025-05-12 16:56:37
雨天決行
-

@ b133bfc5:49d5789d
2025-05-12 16:50:28
I have lots of these
-

@ 044536c5:f8c80e46
2025-05-12 17:07:36
Ellie Nova | Double Vag Creampie For Big Naturals
amateur, big ass, big tits, hardcore, double penetration, blowjob, creampie, brunette, pornstar
https://static.eporner.com/thumbs/static4/1/13/134/13411870/4_360.jpg
https://www.eporner.com/video-PC9YzxjD6G5/ellie-nova-double-vag-creampie-for-big-naturals/
-

@ bfde2252:6c7b8dc2
2025-05-12 16:56:20
End of the year 🤭
-

@ 16d76f26:dac92856
2025-05-12 16:55:36
What is bullish?
-

@ f26626a9:6eec3661
2025-05-12 16:49:36
For a typical "worker":
You're going to spend 80000 hours working. Hours & energy in --> stuff out later.
Bitcoin optimises the time between work & reward; nothing works better. So spend 1% early on, 20 weeks, to study this process & build a plan!
-

@ 63fe6318:330504ed
2025-05-11 13:12:44
Actually broken legs every time
-

@ 64286647:5f6c7296
2025-05-12 17:07:35
That's the size of a cigarette, c'mon
-

@ bfde2252:6c7b8dc2
2025-05-12 16:54:49
Bearish
-

@ ef2c440f:363c3636
2025-05-12 17:07:33
I've heard from a Spanish core developer, that they receive money. I don't know how it works but somebody pays core developers. Could it be a country trying to centralize btc?
-

@ efe5d120:1fc51981
2025-05-12 16:48:40
All these treasury companies feel like a race to remove as much bitcoin from circulation, trying to make sure its used only for NgU instead od permissionless payments.
At least we will see how many billions(trillions?) stopping p2p cash is worth.
-

@ d2841371:02c90a2b
2025-05-12 17:07:31
Was gift. I just bring it out with them sometimes to practice. They have like a small arsenal of all varieties. Have some cool pics for DMs sometime
-

@ 63fe6318:330504ed
2025-05-11 12:09:02
When I was implementing it I was expecting it to be like nip96 too lol
-

@ 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.
-

@ e13490fd:651a2e63
2025-05-12 17:07:31
5) you are right, I’m definitely more comfortable in the ideological than the technical. I guess that like most in this debate I got scared as it seems like the technical is the only thing that matters and the ideological is not involved anymore. I think this is the main thing that got people up. But granted, I might be an idiot who is panicking over nothing because does not get the technical 100%, but I guess what worried some of us is a closeness and non-ideological approach.
Lastly, btc cannot not be messy and confusionary (because it is open to everyone), and I hope we all get through this together. Sometimes I see the point that we should open the gate and let the market decide, that’s the way we should achieve consensus together, organically and without barriers. But then I get scared if the market decides for btc being a not monetary network, and if this happen I’ll lose faith forever in finally having a world of sound money and cooperation. Maybe I’m too emotionally involved in this and my feelings cloud my judgement.
Anyway thanks a lot for the engagement man, much appreciated, and much love to you!
-

@ ecf46816:55bbc75a
2025-05-12 16:48:24
So disheartening to see the stratospheric aerosol injections in the sky everywhere. People should be way more upset about these insane programs dumping god knows how many metric tons of toxic materials into the sky.
-

@ 3b3a42d3:d192e325
2025-05-12 17:07:28
Pets are the shrinkflation of babies. Reborn dolls are the shrinkflation of pets. What’s next?
-

@ 4dc2e570:7b8126f9
2025-05-12 17:07:27
GM I am doing this but reminders always good cos some days it is just me trudging and moving as slow as molasses in snow 🫡🫂
-

@ 90a81209:07a835be
2025-05-12 16:47:48
🚀BTC MARKET VENDOR🚀 - May 17th @gwrnoda nostr:nprofile1qyghwumn8ghj7nn0wd68ytnhd9hx2tcppemhxue69uhkummn9ekx7mp0qqsqlyznaqu2dqdkpjql5ptwh5cps780mddntgmara82u6afl2u6dqqpsapwu
nostr:nprofile1qy2hwumn8ghj7etyv4hzumn0wd68ytnvv9hxgqtxwaehxw309anxjmr5v4ezumn0wd68ytnhd9hx2tmwwp6kyvt5dqm8qwp50quh2dtsx3kxzem8d34hvmfc0fjhqcfjv3cngueev4skuup4xamxx635wu6nvdfjddskvctywvmk6wfnxpcn7cnjdaskgcmpwd6r6arjw4jsqgza7sfaf309qd0l2z8anxeckg02ng9vpw0vcd8nxy4t4x4z4h20tv7gtjqj https://blossom.primal.net/ab9f40b33f0bc8b56e512e26e761ec916af469bf96dd9a7ffaa655dfd89bf1de.jpg - Charlotte-based maze artist https://blossom.primal.net/1ad98589e69eb2522d480ec39e12dc63a8f809931800de79127a838ca0845a1b.png https://blossom.primal.net/f46970ac8acb6cd3b0440c16bce140f2b84cc1c58d93cc86d28f83bc4da9e34d.png
-

@ 72df62e4:7d7e61e8
2025-05-12 17:07:26
Domine operadores aritméticos em #Python
https://blog.ffelix.eti.br/domine-operadores-aritmeticos-no-python/
-

@ c7eda660:efd97c86
2025-05-12 16:47:19
Pro tip: don't take financial advice from someone who says "times it."
-

@ 63fe6318:330504ed
2025-05-10 14:31:37
Driving, don't tell the police
-

@ f03df3d4:a4d4f676
2025-05-12 16:45:55
Block 896433
10 - high priority
9 - medium priority
7 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-

@ bfde2252:6c7b8dc2
2025-05-12 16:45:19
The Scott Monument in Edinburgh
-

@ f33bf369:91801021
2025-05-12 17:07:25
Good luck!
https://m.primal.net/Qutc.gif
-

@ d6affa19:9110b177
2025-05-12 16:45:33
gongeous~! ^_^
-

@ 63fe6318:330504ed
2025-05-10 13:06:01
Its planned, once viewing and interacting is solid
-

@ cf0cb3d2:5d7a365c
2025-05-12 17:07:23
Microsoft Teams will soon block screenshots and recordings of your meetings
https://www.zdnet.com/article/microsoft-teams-will-soon-block-screenshots-and-recordings-of-your-meetings/
-

@ a0f0ad35:2a9c4cff
2025-05-12 16:41:17
Faz 2 então
-

@ efe5d120:1fc51981
2025-05-12 16:45:27
Oh no, dont dare to actually use bitcoin! Thats not a pure play, needs to be put into an institutional custodian and never to be seen again, as far away as possible from it becoming a medium of exchange.
-

@ 6da9b80c:2aeb0906
2025-05-12 17:07:23
MC Ryan SP tem fiança de R$ 1 milhão suspensa pela Justiça após ‘cavalo de pau’ em estádio
A Justiça de São Paulo concedeu uma suspensão temporária da fiança de R$ 1 milhão imposta ao funkeiro MC Ryan SP, preso em flagrante por depredação de patrimônio público. O cantor foi detido após realizar manobras perigosas, conhecidas como ‘cavalo de pau’, com um carro esportivo no gramado do Estádio Barão da Serra Negra, em […]
https://gazetabrasil.com.br/entretenimento/2025/05/12/mc-ryan-sp-tem-fianca-de-r-1-milhao-suspensa-pela-justica-apos-cavalo-de-pau-em-estadio/
-

@ 63fe6318:330504ed
2025-05-10 12:24:20
That looks great!
-

@ 3b8f17fb:bb26be46
2025-05-12 17:07:19
Bono's line in Raised by Wolves,
"My body's not a canvas
My body's now a toilet wall"
comes to mind
-

@ f26606e3:a9015b16
2025-05-12 16:45:17
Wanna get everyone, including Americans, to buy their GPUs from Chinese companies instead of American ones? That’s exactly what will happen if they pass this.
https://www.reuters.com/world/us/us-senator-introduces-bill-calling-location-tracking-ai-chips-limit-china-access-2025-05-09/
-

@ c7eda660:efd97c86
2025-05-12 16:45:14
You'll see mine displayed in the background on nostr:npub1trustldqg4fnp40f3g75mu0p03zj4dxpa4jg7dclzqp9g3aunsgs4a4j8j Beautiful piece that I'm delighted to own. nostr:note1v8tqn0wgr6jswwzvy3etdweluezy5c5l5339zqklteh2y4m60nuq3llwvl
-

@ da19b5d2:1f6cbfaa
2025-05-12 17:07:18
Maybe it's why my dogs are a bit crazy today.
-

@ 401854bb:2327acb8
2025-05-12 16:38:14
What is that?
-

@ e83b66a8:b0526c2b
2025-05-12 16:37:34
Nobody mentioned fun here 😂
-

@ 63fe6318:330504ed
2025-05-10 09:27:29
nostr:nprofile1qqsyvrp9u6p0mfur9dfdru3d853tx9mdjuhkphxuxgfwmryja7zsvhqpzamhxue69uhhv6t5daezumn0wd68yvfwvdhk6tcpz9mhxue69uhkummnw3ezuamfdejj7qgwwaehxw309ahx7uewd3hkctcscpyug amethyst keeps crashing for me since I added another account
-

@ 9c557e25:2cb1193e
2025-05-12 17:07:17
Stay tuned!! https://video.nostr.build/5616fa09d9a1f944aa219f1f0f59a91ac518e6f4473d400df30c4d8b7df702fb.mp4
-

@ b3e43e8c:e3068b5f
2025-05-12 17:07:17
よしくにさんそんなきついこと書いてたっけ?
-

@ d6affa19:9110b177
2025-05-12 16:45:11
#FLR #FemaleLedRelationship #memes #memestr #gfd #grownostr
https://image.nostr.build/d7421bf91566249840772e5d6aa72bd48af5a626202e94eca410d2896e838750.jpg
-

@ 0575bf03:62a2b879
2025-05-12 16:35:36
will look into it, thx
-

@ 63fe6318:330504ed
2025-05-09 17:13:14
2 days build might get ya some bugs lol
-

@ 791445f5:92542f23
2025-05-12 17:07:12
Exportações de Ovos do Brasil para os EUA Aumentam 271%
Forbes, a mais conceituada revista de negócios e economia do mundo.
O país está tentando aumentar suprimentos em meio ao surto de gripe aviária que matou quase 170 milhões de animais desde 2022
O post https://forbes.com.br/forbesagro/2025/05/exportacoes-de-ovos-do-brasil-para-os-eua-aumentam-271/
.
https://forbes.com.br/forbesagro/2025/05/exportacoes-de-ovos-do-brasil-para-os-eua-aumentam-271/
-

@ 508f2865:a64b2960
2025-05-12 16:45:02
💕💕🥰
#bloomscrolling #flowerstr #photography #nature
https://image.nostr.build/9320cfd61c2466271b738d6600634266e20ef646135c103d4fad5bcb6c5975d7.jpg
-

@ 67ada8e3:16052171
2025-05-12 17:07:12
My life is one of discordant uncorrelation. Uncordant.
-

@ 044536c5:f8c80e46
2025-05-12 17:07:11
Slimth!ck \/!c POV
pornstar, hardcore, big dick, big ass, blowjob, cumshot, blonde, milf, , interracial
https://static.eporner.com/thumbs/static4/1/13/134/13413088/10_360.jpg
https://www.eporner.com/video-WJTGqEwU6Ah/slimth-ck-c-pov/
-

@ 832b77d5:a5e3d55c
2025-05-12 17:07:11
🟥SELL BTC for BSQ
Price: 1973sat
BTC: 0.0039 - 0.02
BSQ: 197.67 - 1013.68
Method: BSQ Swap
Created: 2025-05-12T17:06:48Z
-

@ 9226d06e:828af8a9
2025-05-12 16:33:40
GM bro
-

@ 001863c7:4a915c7a
2025-05-12 16:30:44
What about DJT?
-

@ c7eda660:efd97c86
2025-05-12 16:43:48
Madness.
-

@ 9f0bbd5b:779b33f6
2025-05-12 16:27:15
it is clearly a pile of handkerchiefs
-

@ 8e141314:2d6443ba
2025-05-12 16:18:03
大便上长出大便花
-

@ 63fe6318:330504ed
2025-05-09 16:42:15
Is there something like amber on ios?
-

@ 63fe6318:330504ed
2025-05-09 16:38:44
👀
https://image.nostr.build/893218aa8de7d394b32988a58da0b7db9dcbfd61a384bd7340d4abecd6b361f7.jpg
-

@ 94a21e42:1d1a8d6e
2025-05-12 17:07:10
Carlo Ancelotti na Seleção ganha repercussão mundial: “Maior da história”
Jornais do exterior destacaram o anúncio feito pela CBF nesta segunda-feira (12)
Este conteúdo foi originalmente publicado em https://www.cnnbrasil.com.br/esportes/futebol/selecao-brasileira/carlo-ancelotti-na-selecao-ganha-repercussao-mundial-maior-da-historia/
.
https://www.cnnbrasil.com.br/esportes/futebol/selecao-brasileira/carlo-ancelotti-na-selecao-ganha-repercussao-mundial-maior-da-historia/
-

@ 63fe6318:330504ed
2025-05-09 15:29:44
Also available via nostr:nprofile1qqs83nn04fezvsu89p8xg7axjwye2u67errat3dx2um725fs7qnrqlgzqtdq0 now
nostr:nevent1qqs8f5smjdjwt4pudtcacyzs2772w44ns6llfpt2zppc8lpfkmvvp5cpqqpzqcl7vvvdckzc8nlpdqg0smwsncvtl4m240py5qypec59dues2p8dqvzqqqqqqygax0av
-

@ fdd5e8f6:a73464a7
2025-05-12 16:17:26
Liar
-

@ 63fe6318:330504ed
2025-05-09 14:03:15
Yea streams follow NIP-36
-

@ 665e364f:16310af9
2025-05-12 16:42:05
Because they don't play with their money.
They don't trust themself enough for that.
Like any bank do with people money.
-

@ 63fe6318:330504ed
2025-05-09 13:40:04
I think nostr:nprofile1qqs8y6s7ycwvv36xwn5zsh3e2xemkyumaxnh85dv7jwus6xmscdpcyg6fu2lh needs to whitelist it, io.nostrlabs.zap_stream_flutter
-

@ 63fe6318:330504ed
2025-05-09 13:34:40
Ah yes, forgot, few minutes
-

@ 63fe6318:330504ed
2025-05-09 13:29:23
** Amber login only
-

@ a69aa21a:602f9e73
2025-05-12 17:07:10
KENT06 is squawking 7700 (General Emergency), https://globe.theairtraffic.com/?icao=AE007E&showTrace=2025-05-12×tamp=1747069617.2
05/12/2025, 17:06:57 Z
-

@ e7bf8dad:839ef3db
2025-05-12 16:40:55
Block 896433
9 - high priority
8 - medium priority
6 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-

@ 0921a953:75d43b09
2025-05-12 16:08:47
GM, may nostr be with you
-

@ b300db32:0bf5db3a
2025-05-12 17:07:07
A relação entre **Teoria dos Grafos** (matemática discreta e combinatória) e o **Programa de Langlands** (ponte entre teoria dos números, álgebra e geometria) é sutil e emergente, mas existem conexões profundas e fascinantes que unem essas áreas. Abaixo, detalho os principais pontos de contato, desafios e implicações.
---
### **1. Conexões Fundamentais**
#### **a) Grafos de Ramanujan e Formas Automórficas**
- **Ramanujan Graphs**: Grafos expandidores com propriedades espetaculares de conectividade, cujos autovalores são limitados pela **Conjectura de Ramanujan-Petersson** (parte do Programa de Langlands). A construção explícita desses grafos usa formas automorfas e a teoria de Hecke, ligando diretamente a teoria analítica dos números à teoria dos grafos.
- **Impacto**: A prova da conjectura para formas modulares (via Programa de Langlands) foi essencial para garantir a existência de grafos de Ramanujan, resolvendo problemas em ciência da computação (como redes robustas).
#### **b) Representações de Quivers e Dualidade de Langlands**
- **Quivers**: Grafos orientados usados para estudar representações de álgebras. Em geometria algébrica, as representações de quivers estão relacionadas a **categorificações** de grupos de Lie, que aparecem no Programa Geométrico de Langlands.
- **Exemplo**: O **Equivalência de Satake Geométrica** conecta feixes coerentes em espaços de módulos com representações de grupos duais, onde quivers modelam estruturas combinatórias subjacentes.
#### **c) Zeta de Ihara e Funções-L Automórficas**
- **Zeta de Grafos (Ihara)**: Análoga à função zeta de Riemann, associada a grafos regulares. Sua fórmula explícita tem paralelos com funções-L automórficas do Programa de Langlands.
- **Conexão**: Conjecturas sugerem que zeros da zeta de Ihara podem refletir propriedades de automorfia, sugerindo uma ponte entre dinâmica em grafos e teoria espectral automórfica.
#### **d) Dessins d'Enfants e Geometria Anabeliana**
- **Dessins d'Enfants**: Grafos planares que parametrizam curvas algébricas sobre $\overline{\mathbb{Q}}$. Eles estão ligados ao **Grupo de Galois Absoluto**, um objeto central no Programa de Langlands não abeliano.
- **Impacto**: A ação do grupo de Galois em dessins revela estruturas combinatórias que podem codificar informações sobre correspondências automórficas.
---
### **2. Objetivo Central (o "Santo Graal")**
O "Santo Graal" seria a **descoberta de uma correspondência direta entre invariantes combinatórios de grafos e objetos automórficos/geometria de módulos**, permitindo:
- **Novas construções de grafos expandidores** via formas automórficas.
- **Provas combinatórias de conjecturas de Langlands** (ex.: reciprocidade automórfica).
- **Modelos discretos para a dualidade geométrica de Langlands** usando quivers ou redes.
---
### **3. Desafios e Limitações**
- **Diferenças metodológicas**: A teoria dos grafos é frequentemente discreta e algorítmica, enquanto o Programa de Langlands depende de análise complexa, geometria algébrica e teoria de categorias. Isso dificulta a transferência direta de técnicas.
- **Generalizações especulativas**: Conexões como a entre zeta de Ihara e funções-L automórficas ainda carecem de formulação rigorosa em casos gerais.
- **Escalabilidade**: Grafos de Ramanujan são bem compreendidos em dimensões baixas, mas extensões a dimensões superiores (via Langlands) permanecem abertas.
---
### **4. Descobertas Significativas**
- **Construção de Lubotzky-Phillips-Sarnak**: Usou formas modulares para criar grafos de Ramanujan, validando a conjectura de Ramanujan-Petersson em casos específicos.
- **Geometria de Langlands e Teoria das Representações**: Trabalhos de Frenkel, Witten e outros mostram como categorias derivadas de quivers podem modelar dualidades em teorias quânticas de campos, conectando-se a Langlands geométrico.
- **Aplicações em Física**: Redes de spin em gravidade quântica (usando grafos) compartilham estruturas com o Programa de Langlands via categorias tensoriais.
---
### **5. Perspectivas Futuras**
- **Teoria de Números Combinatória**: Explorar como invariantes de grafos (como números de Betti) codificam informações de Galois ou automorfia.
- **Algoritmos Quânticos**: Usar grafos expandidores baseados em Langlands para melhorar protocolos de comunicação quântica.
- **Geometria Não Comutativa**: Extender a dualidade de Langlands para espaços discretos, usando grafos como modelos simplificados.
---
### **Conclusão**
A intersecção entre teoria dos grafos e Programa de Langlands é um campo em ascensão, onde estruturas combinatórias simples (grafos) podem codificar informações profundas sobre simetrias automórficas e aritméticas. Apesar das limitações técnicas, essa relação promete novas ferramentas para ambas as áreas, especialmente na construção de objetos explícitos (como grafos expandidores) e na interpretação geométrica de conjecturas numéricas. O desafio maior é desenvolver uma linguagem comum que una a intuição discreta da teoria dos grafos à abstração contínua do Programa de Langlands.
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@ 63fe6318:330504ed
2025-05-09 13:23:56
Published an early version of the zap.stream app its live on play store and via github releases:
https://github.com/nostrlabs-io/zap-stream-flutter/releases
https://play.google.com/store/apps/details?id=io.nostrlabs.zap_stream_flutter
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@ 3167ac15:c0316450
2025-05-12 15:54:10
Was für ne Sperre? Keine eigene Node am Start?
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@ f03df3d4:a4d4f676
2025-05-12 16:40:55
Block 896433
9 - high priority
8 - medium priority
6 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
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@ 7cd5f588:02454296
2025-05-12 16:40:14
Peak art of the deal tactic
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@ 8e141314:2d6443ba
2025-05-12 15:50:27
🤔🤔🤔