-
@ f03df3d4:a4d4f676
2025-05-13 14:05:28
Block 896555
3 - high priority
3 - medium priority
3 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 8d78f390:d3233370
2025-05-13 14:05:02
GM ☀️
-
@ 274fe9ae:565805d2
2025-05-13 14:04:49
Iowa DOT closing part of I-80/35 near Des Moines for overnight construction
https://www.yahoo.com/news/iowa-dot-closing-part-80-110221199.html
-
@ 274fe9ae:565805d2
2025-05-13 14:04:39
Parkland survivor David Hogg to be ousted from DNC following investigation into his election
https://www.yahoo.com/news/parkland-survivor-david-hogg-ousted-132014456.html
-
@ 274fe9ae:565805d2
2025-05-13 14:04:24
Ed Yardeni cuts recession odds and raises S&P 500 target back up to 6,500 on Trump’s tariff rollback
https://www.cnbc.com/2025/05/13/ed-yardeni-cuts-recession-odds-and-raises-sp-500-target-back-up-to-6500-on-trumps-tariff-rollback.html
-
@ 274fe9ae:565805d2
2025-05-13 14:04:07
Gold is booming - but investors lured in by the hype could lose out, warn experts
https://www.bbc.com/news/articles/c5ygyjy7kz5o
-
@ 274fe9ae:565805d2
2025-05-13 14:02:02
US Firm Global AI Secures Saudi Investment Worth Billions
https://financialpost.com/pmn/business-pmn/us-firm-global-ai-secures-saudi-investment-worth-billions
-
@ 274fe9ae:565805d2
2025-05-13 14:01:52
Mogo Portfolio Company WonderFi Announces Definitive Agreement to be Acquired by Robinhood Markets
https://financialpost.com/pmn/business-wire-news-releases-pmn/mogo-portfolio-company-wonderfi-announces-definitive-agreement-to-be-acquired-by-robinhood-markets
-
@ 274fe9ae:565805d2
2025-05-13 14:01:42
Loar Stock Falls After Results, Lifted Outlook; Karman Earnings Due
https://www.investors.com/news/loar-stock-karman-holdings-q1-earnings-2025-aerospace-defense-missiles-tariffs/?src=A00220&yptr=yahoo
-
@ 68c90cf3:99458f5c
2025-05-13 14:01:42
I run my own Alby Hub. Once set up, runs pretty hands off. I only use it to zap and for very small transactions.
-
@ 9c5d04b8:b5b2cb2c
2025-05-13 14:06:23
A bold move to rescue Chicago's youth from leftist dependency
https://www.foxnews.com/opinion/bold-move-rescue-chicagos-youth-from-leftist-dependency
-
@ 274fe9ae:565805d2
2025-05-13 14:01:32
What's Going On With NIO Stock On Tuesday?
https://finance.yahoo.com/news/whats-going-nio-stock-tuesday-134330463.html
-
@ 9c5d04b8:b5b2cb2c
2025-05-13 14:06:20
Less than 4 months into Trump's 2nd term, Dems are already eyeing the 2028 race
https://www.foxnews.com/politics/less-than-four-months-trumps-second-term-dems-already-eyeing-2028-race
-
@ 274fe9ae:565805d2
2025-05-13 14:01:20
Carrier to invest $1 billion to boost US production
https://finance.yahoo.com/news/carrier-invest-1-billion-boost-133627568.html
-
@ 9c5d0674:181409e0
2025-05-13 14:04:55
Asus ROG Delta II Review: Good, but not great
https://www.tomshardware.com/peripherals/gaming-headsets/asus-rog-delta-ii-review
-
@ 274fe9ae:565805d2
2025-05-13 14:01:10
Book retailer Thalia selects Ranpak’s automated packaging systems
https://finance.yahoo.com/news/book-retailer-thalia-selects-ranpak-134406818.html
-
@ 9c5d0715:51b81399
2025-05-13 14:04:20
Panasonic's S1 II is its most powerful creator camera yet
https://www.engadget.com/cameras/panasonics-s1-ii-is-its-most-powerful-creator-camera-yet-140039445.html?src=rss
-
@ 9c5d04b8:b5b2cb2c
2025-05-13 14:01:54
Trump’s revamped Coast Guard surges with ‘skyrocketing’ recruiting to secure maritime borders: DHS memo
https://www.foxnews.com/us/trump-revamped-coast-guard-surges-skyrocketing-recruiting-secure-maritime-borders-dhs-memo
-
@ 762a3c15:622ecd60
2025-05-13 14:01:10
GA
-
@ 9c5d0714:798b2576
2025-05-13 14:01:32
What's Going On With NIO Stock On Tuesday?
https://finance.yahoo.com/news/whats-going-nio-stock-tuesday-134330463.html
-
@ 52387c6b:49dbdfb2
2025-05-13 14:03:05
About another 30 minutes at the airport 😂
-
@ 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
-
@ 5391098c:74403a0e
2025-05-13 13:59:32
dipoma de cú é rola
-
@ 314072c1:29d19fff
2025-05-13 14:04:03
datacarriersize=0
Works in Knots. Doesn’t work in Core even if you manually set it to 0.
-
@ 0691202d:98be4b1c
2025-05-13 14:04:02
🤣🤣 that’s excellent and the kid is just honestly saying what he’s thinking 😂😂
-
@ 274fe9ae:565805d2
2025-05-13 14:01:00
Investment Bank Raises Price Target on Uber Technologies, Inc. (UBER) Stock by a Large Amount
https://finance.yahoo.com/news/investment-bank-raises-price-target-134419626.html
-
@ 274fe9ae:565805d2
2025-05-13 14:00:50
Meta Platforms, Inc. (META) Reported the Best Results Among Mag 7, Prominent Investor Says
https://finance.yahoo.com/news/meta-platforms-inc-meta-reported-134537468.html
-
@ 9c5d0714:798b2576
2025-05-13 14:01:29
Carrier to invest $1 billion to boost US production
https://finance.yahoo.com/news/carrier-invest-1-billion-boost-133627568.html
-
@ 225bd271:6825fcc8
2025-05-13 14:06:21
Yuga Labs 将 CryptoPunks IP 出售给 Infinite Node 基金会
Foresight News 消息，Yuga Labs 将 CryptoPunks IP 出售给 Infinite Node Foundation (NODE) 。
https://foresightnews.pro/news/detail/72680
-
@ a59c614c:7e1e24b3
2025-05-13 14:06:21
One year progress on our native front hill https://www.allforgardening.com/1293283/one-year-progress-on-our-native-front-hill/ #NativePlantGardening #NativePlants #RainGardens
https://media.vive.im/media_attachments/files/114/500/906/596/037/506/original/fd095e6d4ced67d7.jpg
-
@ 4564d670:0877484b
2025-05-13 14:01:39
Interesting. So how do you filter a series of TXs using small OP_RETURN payloads, or payload as signatures, or payload as raw multisig, or payload as scripts, or payload as any of the new things that VC backed scammers can and will come up with, when forced?
Seriously interested. I just don't think there's a good answer.
-
@ 63fe6318:330504ed
2025-05-12 08:23:14
Yea same for me, not sure why but it will be fixed today
-
@ 9c5d0714:798b2576
2025-05-13 14:01:26
Book retailer Thalia selects Ranpak’s automated packaging systems
https://finance.yahoo.com/news/book-retailer-thalia-selects-ranpak-134406818.html
-
@ 762a3c15:622ecd60
2025-05-13 14:00:42
Happy birthday 🎈
-
@ 30758536:553a48f2
2025-05-13 13:59:12
Hfsp
-
@ 4e9a4f33:e0e9b4e9
2025-05-13 14:06:19
Yuga Labs has officially handed over the intellectual property of CryptoPunks to the Infinite Node Foundation (NODE), a non-profit, as reported by Business Wire. This move signifies a shift in the management and development of the iconic NFT collection.
#crypto #blockchain #news
-
@ 841b017d:8bf0ee39
2025-05-13 13:55:23
Already better 🤙🏻
-
@ 9d44867c:55a53281
2025-05-13 14:06:17
💼 #BTC #venture
Cointelegraph: Venture capital plays an important role in the development of Bitcoin L2 solutions, despite criticism
#crypto #blockchain #bitcoin
-
@ ebb93aa6:7d9e5f6f
2025-05-13 13:54:59
Have a nice day #anon 🫦 #nostr
-
@ e0595364:630083c8
2025-05-13 14:06:18
大学ほどでは無いけれど、高校も意外と規模の大小の差が激しくて、1学年10クラスの高校とかあった（共学の私立高校）
-
@ 841b017d:8bf0ee39
2025-05-13 13:53:30
🧡👊🏼🍺
-
@ cc4cbb92:df94544f
2025-05-13 14:06:16
Never mind go to the police, I'd have laid him out cold.
-
@ 101b30ee:18a46a45
2025-05-13 14:06:13
とりあえず今月のゴリラ.vimを乗り切ったら、EC2 + SR-IOVでDPDK動かす検証とプロトコルスタック開発をだな
-
@ 274fe9ae:565805d2
2025-05-13 14:00:40
CPI Inflation Dips, But These Prices Jumped On Trump Tariffs; S&P 500 Rises (Live Coverage)
https://www.investors.com/news/economy/cpi-inflation-april-trump-tariffs-federal-reserve-sp-500/?src=A00220&yptr=yahoo
-
@ 63fe6318:330504ed
2025-05-11 13:12:44
Actually broken legs every time
-
@ e2ccf7cf:26c1c8eb
2025-05-13 13:59:53
Bitcoiner privilege is seeing everyone complaining about rising prices while prices are down 80% for you over the last two years
-
@ 841b017d:8bf0ee39
2025-05-13 13:52:23
GM, I don't know, I only use clients #nostr
-
@ 3c046681:9edb9a33
2025-05-13 14:06:04
💼 #BTC #venture
Cointelegraph: венчурный капитал играет важную роль в развитии Bitcoin L2-решений, несмотря на критику
#crypto #blockchain #bitcoin
-
@ e7bf8dad:839ef3db
2025-05-13 14:00:30
Block 896555
2 - high priority
2 - medium priority
2 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 9c5d0714:798b2576
2025-05-13 14:01:23
Investment Bank Raises Price Target on Uber Technologies, Inc. (UBER) Stock by a Large Amount
https://finance.yahoo.com/news/investment-bank-raises-price-target-134419626.html
-
@ 01438c6f:31f873ef
2025-05-13 14:06:00
At TechCrunch All Stage 2025, Rob Biederman will help founders rethink how to scale
https://techcrunch.com/2025/05/13/at-techcrunch-all-stage-2025-rob-biederman-will-help-founders-rethink-how-to-scale/
-
@ 81913081:42ee8db5
2025-05-13 13:58:55
测试
nostr:nprofile1qqs2dt0f0a2unymz2dyg549ju9r5sy0wjlxap57rhusqpw69ghc365spz9mhxue69uhkymmnw3ezuumgdacz7qgawaehxw309a3x7um5wghxy6t5vdhkjmn50phkkmewvdhk6tc78mves 德国的《商报》和《南德意志报》分别持什么政治立场的？
nostr:nevent1qqsg280flx4rluauungme0ej0k5n5ds67xtdlf40g5nu2488qj77dkqpzfmhxue69uhkuenjv4kxz7fwv9c8qtczyz96mc483xfxu38qjzy5g40hwq0knlc0ef085lql9wwcrg0j0kdjjqcyqqqqqqgyqgcst
-
@ 714f9dc3:76659adb
2025-05-13 13:54:50
Insane. Very humbling to receive such a grant.
I can't be more excited to continue serving bitcoin educators worldwide with free and open source tools.
Global & Grassroots 🧡
nostr:nevent1qvzqqqqqqypzpasf6k95y569sa5dnwh3k29tfha47mnfpkvmkfmqeq7782zqc04zqythwumn8ghj7un9d3shjtnwdaehgu3wvfskuep0qyfhwumn8ghj7ur4wfcxcetsv9njuetn9uq3kamnwvaz7tm5d4cz6un9d3shjtnrv4ekxtn5wfskgef0qqsr47g4an2k3gyr5ah42xp6hazx26lk3rq7jl4hcja32tdeuvpvykgla72ys
-
@ f1c466a7:51fba78b
2025-05-13 13:57:11
Ha ha ha: Free ride: Allies, even Laura Loomer, turn on President Trump for accepting luxury jet from Qatar https://www.samsung-news.com/articles/sbuiEB7fNkZooC71rBIzvA-en-US?section=top_news&action=news&tab=foryou&landing=news_detail&url=https%253A%252F%252Fwww.samsung-news.com%252Farticles%252FsbuiEB7fNkZooC71rBIzvA-en-US%253Fsection%253Dtop_news&id=sbuiEB7fNkZooC71rBIzvA-en-US&pub_id=foxnews.com&pub=Fox%20News&pub_logo=https%253A%252F%252Fnews-image.samsung-news.com%252Flogo%252Fcustom%252FFox%252FBanner_-_Fox_News_Channel_-_Light_Mode.svg&theme_color=%23003366&referrer=share-news&title=Free%20ride%3A%20Allies%2C%20even%20Laura%20Loomer%2C%20turn%20on%20President%20Trump%20for%20accepting%20luxury%20jet%20from%20Qatar&rss_url=https%3A%2F%2Fwww.foxnews.com%2Fpolitics%2Ffree-ride-allies-even-laura-loomer-turn-president-trump-accepting-luxury-jet-from-qatar.amp%3Futm_source%3Dsnews%26utm_medium%3Dreferral&img=https%3A%2F%2Fimage.samsung-news.com%2Fapi%2Fv1%2Fimage%2Fstatic%2Fw%3D1600%2Ch%3D1600%2Cface%3Dtrue%2Cstyle%3DSQUARE%2Fhttps%3A%2F%2Fstatic.foxnews.com%2Ffoxnews.com%2Fcontent%2Fuploads%2F2025%2F05%2Ftrump-af1.jpg&pub_time=2025-05-13T09%3A11%3A55Z&ed=en_US§ion_type=headlines&category_id=politics
-
@ 665e364f:16310af9
2025-05-13 13:52:11
"against" => "with"
-
@ 63fe6318:330504ed
2025-05-11 12:09:02
When I was implementing it I was expecting it to be like nip96 too lol
-
@ 841b017d:8bf0ee39
2025-05-13 13:49:06
No🫣🤭
-
@ 79c9f2c0:e20e6ba6
2025-05-13 13:48:19
電子信号が来るんだろうね。虫の知らせ
-
@ 0319e300:a02ea7a0
2025-05-13 14:06:06
Dimassi’s Mediterranean Buffet new location https://www.diningandcooking.com/2068025/dimassis-mediterranean-buffet-new-location/ #Mediterranean #MediterraneanDishes #restaurant
https://media.vive.im/media_attachments/files/114/500/905/597/437/404/original/55dbe369c10340b0.jpg
-
@ fd208ee8:0fd927c1
2025-05-13 14:05:59
Well, some people you follow might use the big relays for outboxes, so you would still go there for that, but not for strangers.
-
@ 9c5d0714:798b2576
2025-05-13 14:01:20
Meta Platforms, Inc. (META) Reported the Best Results Among Mag 7, Prominent Investor Says
https://finance.yahoo.com/news/meta-platforms-inc-meta-reported-134537468.html
-
@ f03df3d4:a4d4f676
2025-05-13 14:00:30
Block 896555
2 - high priority
2 - medium priority
2 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 9c5d0714:798b2576
2025-05-13 14:01:17
Should You Be Optimistic on DoubleVerify Holdings’ (DV) Growth?
https://finance.yahoo.com/news/optimistic-doubleverify-holdings-dv-growth-134656397.html
-
@ 9c5d0714:798b2576
2025-05-13 14:01:14
Netflix, Inc. (NFLX)’s New Interface “Looks Super Cool,” Strategist Says
https://finance.yahoo.com/news/netflix-inc-nflx-interface-looks-134705757.html
-
@ 1ae011cb:1257a556
2025-05-13 14:00:30
Block 896555
2 - high priority
2 - medium priority
2 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ e7bf8dad:839ef3db
2025-05-13 13:50:28
Block 896551
5 - high priority
5 - medium priority
4 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ cbab7074:f9f0bd61
2025-05-13 14:00:30
Block 896555
2 - high priority
2 - medium priority
2 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ c9598169:7c19e7c4
2025-05-13 14:05:55
identify by random selection
#clone #ai #verify #identity
-
@ cc4cbb92:df94544f
2025-05-13 14:05:58
😆
-
@ 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.
-
@ 2c659407:6d73fd7f
2025-05-13 14:05:51
Fucking sellouts.
Core devs trying to co-opt bitcoin for a cash grab.
🧡👊🏻🍻
-
@ 519d2fb3:46f8350f
2025-05-13 14:05:49
"If I were asked to answer the following question: WHAT IS SLAVERY? and I should answer in one word, IT IS MURDER, my meaning would be understood at once. No extended argument would be required to show that the power to take from a man his thought, his will, his personality, is a power of life and death; and that to enslave a man is to kill him."
- P. J. Proudhon https://image.nostr.build/fa007277421e81876df8c82e54c4a880e5f6e6b4d9e390650b6951e5ffe02db2.png
-
@ 274fe9ae:565805d2
2025-05-13 14:00:29
Should You Be Optimistic on DoubleVerify Holdings’ (DV) Growth?
https://finance.yahoo.com/news/optimistic-doubleverify-holdings-dv-growth-134656397.html
-
@ 79c9f2c0:e20e6ba6
2025-05-13 13:47:59
たまにある。あ、着信した？！って思った直後に鳴る
-
@ 9c5d0714:798b2576
2025-05-13 14:01:11
Palantir Technologies Inc. (PLTR) is Attractive, Based on the “Rule of 40,” Prominent Investor Says
https://finance.yahoo.com/news/palantir-technologies-inc-pltr-attractive-134858033.html
-
@ 0cdd8e5d:398e58fb
2025-05-13 13:46:31
Brainstorming
If I were to build/develop digital place to foster connection - in regards to finding friendship, love whatever, I wonder if adding constraints or “digital boundaries” would help or hinder making better matches with people?
Modern dating apps feel like blindly sticking your hand in an aquarium. Will you reach in to pet a furry snail? A sea star? A turtle? A piranha?
I’ve always preferred an open/free for all concept, but maybe deliberate intention needs to be applied to these kinds of things. 🤷🏽♀️🤷🏽♀️
-
@ c2149a98:5baa1336
2025-05-13 14:05:55
Cómo Ampliar o Cambiar Componentes / How to Upgrade Your Mini PC | Slimbook ONE ⚙️ 🔧
🔸Cambiar o ampliar la RAM
🔸Sustituir o añadir unidades SSD
🔸Hacerlo de forma segura y rápida
👉 Aquí el tutorial completo: https://youtu.be/SRrDDOk9IbQ
-
@ f03df3d4:a4d4f676
2025-05-13 13:45:28
Block 896551
5 - high priority
4 - medium priority
4 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ f03df3d4:a4d4f676
2025-05-13 13:40:28
Block 896550
5 - high priority
5 - medium priority
4 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 274fe9ae:565805d2
2025-05-13 14:00:21
Scientists issue urgent warning after witnessing disturbing changes in salmon behavior: 'Expected to have broader negative consequences'
https://www.yahoo.com/news/scientists-issue-urgent-warning-witnessing-104534790.html
-
@ 63fe6318:330504ed
2025-05-10 14:31:37
Driving, don't tell the police
-
@ 9c5d0714:798b2576
2025-05-13 14:01:08
UnitedHealth Group shake-up: CEO steps down, guidance suspended
https://finance.yahoo.com/news/unitedhealth-group-shake-up-ceo-steps-down-guidance-suspended-135257540.html
-
@ 77ce56f8:362f6ca7
2025-05-13 14:05:32
Worth nothing.
I like saving the imgs and changing them. Haha
-
@ 9c5d0714:798b2576
2025-05-13 14:01:05
Auric begins mining at Munda gold mine starter pit in Australia
https://finance.yahoo.com/news/auric-begins-mining-munda-gold-135332174.html
-
@ 63fe6318:330504ed
2025-05-10 13:06:01
Its planned, once viewing and interacting is solid
-
@ 274fe9ae:565805d2
2025-05-13 14:00:19
Netflix, Inc. (NFLX)’s New Interface “Looks Super Cool,” Strategist Says
https://finance.yahoo.com/news/netflix-inc-nflx-interface-looks-134705757.html
-
@ 63fe6318:330504ed
2025-05-10 12:24:20
That looks great!
-
@ e83b66a8:b0526c2b
2025-05-13 13:53:48
GA
From Ventnor
https://i.nostr.build/oeeiXzcc2qoCWWPy.jpg
-
@ 3e6e0735:9e95c8a2
2025-05-13 13:50:34
Flagged and sent to the nostr misinformation Dept
-
@ a1fc5dfd:bbedb1cf
2025-05-13 13:39:57
All BTC loans at the current time are GARBAGE no reason for such interest rates on an over collateralized loan. Only when banks get involved (soon) will companies like RIver, Strike, etc. will treat these loans the way they should be treated.
-
@ b300db32:0bf5db3a
2025-05-13 13:38:29
A relação entre a teoria dos grafos e as funções-L é um tema de pesquisa interdisciplinar que emerge principalmente através de conexões analíticas, espectrais e aritméticas. Embora não seja uma relação direta, há pontos de contato significativos que revelam interações profundas e potencialmente transformadoras. Abaixo, exploramos os principais aspectos:
---
### **1. Pontos de Contato Principais**
#### **a) Funções Zeta de Grafos e Funções-L**
- **Função Zeta de Ihara**: Introduzida por Yasutaka Ihara, é uma função zeta associada a grafos finitos (especificamente, grafos regulares) que compartilha propriedades com as funções-L clássicas. Sua definição envolve produtos sobre ciclos primitivos no grafo e pode ser expressa como:
$$
\zeta_G(u) = \prod_{[C]} \frac{1}{1 - u^{\ell(C)}},
$$
onde $[C]$ são classes de ciclos primitivos e $\ell(C)$ é seu comprimento. A função zeta de Ihara está intimamente ligada ao **espectro do operador de adjacência** do grafo.
- **Analogia com Funções-L**: Assim como as funções-L codificam informações aritméticas (como distribuição de primos), a zeta de Ihara codifica propriedades combinatórias e espectrais de grafos. Em certos casos, ela satisfaz uma **hipótese de Riemann análoga**, onde os zeros não triviais estão alinhados em uma linha crítica, similar à hipótese de Riemann para a função zeta de Riemann.
#### **b) Grafos Ramanujan e Funções-L Automorfas**
- **Grafos Ramanujan**: São grafos regulares cujo espectro (autovalores da matriz de adjacência) é otimizado, com todos os autovalores não triviais limitados por $2\sqrt{k-1}$ para um grafo $k$-regular. Eles são construídos usando métodos da teoria dos números, como formas automorfas e funções-L associadas a grupos de Lie (ex.: $GL(2)$).
- **Conexão com Funções-L**: A construção desses grafos depende da **conjectura de Ramanujan-Petersson** em teoria dos números, que prevê limites para coeficientes de formas modulares. Quando satisfeita, garante a existência de grafos Ramanujan, mostrando como propriedades analíticas de funções-L influenciam a estrutura combinatória.
#### **c) Teoria Espectral e Geometria Aritmética**
- **Fórmula de Selberg e Grafos de Quociente**: A fórmula do traço de Selberg, usada para estudar o espectro de variedades hiperbólicas, tem análogos em grafos de quociente de árvores homogêneas. Esses grafos carregam zetas de Ihara que se relacionam com funções-L automorfas via correspondências espectral-geométricas.
- **Zetas de Variedades sobre Corpos Finitos**: Em geometria algébrica, as zetas de variedades sobre corpos finitos (conectadas às funções-L de Hasse-Weil) compartilham propriedades com a zeta de Ihara, especialmente em contextos de recobrimentos ramificados.
#### **d) Aplicações em Teoria da Computação**
- **Expansores e Segurança Criptográfica**: Grafos expansores (incluindo Ramanujan) são fundamentais em ciência da computação para redes robustas e algoritmos aleatorizados. Sua construção explícita via funções-L automorfas ilustra como métodos analíticos influenciam a teoria dos grafos aplicada.
---
### **2. O "Santo Graal" da Área**
O grande objetivo seria estabelecer uma **teoria unificada** que:
- Prove a **hipótese de Riemann análoga** para zetas de grafos de forma geral, inspirando novas abordagens para a hipótese de Riemann clássica.
- Use técnicas combinatórias para obter resultados em teoria dos números (ex.: limites para zeros de funções-L).
- Desenvolva **funções-L geométricas** que codifiquem simultaneamente propriedades espectrais de grafos e invariantes aritméticos.
Um exemplo notável é a conjectura de **função-L de gráficos de recobrimento**, que busca relacionar a zeta de Ihara de um grafo e seus recobrimentos com funções-L de Galois, análogas às funções-L associadas a representações de grupos de Galois.
---
### **3. Descobertas Significativas**
- **Construção de Grafos Ramanujan**: Margulis, Lubotzky-Phillips-Sarnak e outros usaram formas modulares e funções-L para construir grafos com propriedades espectrais ótimas, resolvendo problemas em teoria da computação e combinatória.
- **Conjecturas Espectrais**: A relação entre zeros da zeta de Ihara e a distribuição de autovalores levou a conjecturas sobre a **aleatoriedade quântica** em grafos, conectando-se à teoria do caos quântico.
- **Teorema de Reciprocidade de Bass**: Generaliza a zeta de Ihara para grafos de recobrimento, mostrando como ela se fatora em termos de funções-L associadas a representações do grupo fundamental do grafo.
---
### **4. Fraquezas e Limitações**
- **Escopo Restrito**: As conexões existem principalmente em contextos específicos (grafos regulares, recobrimentos, grupos de Lie), sem generalizações diretas para grafos arbitrários ou funções-L genéricas.
- **Métodos Divergentes**: A teoria dos grafos frequentemente usa álgebra linear e combinatória, enquanto as funções-L dependem de análise complexa e geometria algébrica, dificultando a comunicação entre áreas.
- **Resultados Conjecturais**: Muitas relações (ex.: hipótese de Riemann análoga) permanecem não provadas ou dependem de conjecturas não resolvidas em teoria dos números (ex.: conjectura de Langlands).
---
### **5. Conclusão**
A interseção entre teoria dos grafos e funções-L revela uma ponte entre estruturas discretas e contínuas, combinatória e aritmética. Embora ainda em desenvolvimento, essa relação já gerou ferramentas poderosas, como grafos Ramanujan, e inspira esperança de que técnicas combinatórias possam esclarecer problemas centrais em teoria dos números — e vice-versa. O desafio é superar as barreiras metodológicas e expandir a generalidade dessas conexões.
-
@ 26bfccc0:9b2104ca
2025-05-13 14:05:32
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@ f10512df:c9293bb3
2025-05-13 13:50:30
Welcome! Glad to have you here! It takes a bit of getting used to at the start, but you will find your tribe of people. Feel free to ask questions. Everyone is friendly and willing to help.
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@ 9c5d0c00:d5aee5f2
2025-05-13 14:00:14
The Roborock Q7 Max Robot Vacuum and Mop Hits an All-Time Low, Almost 50% Off for a Limited Time
https://gizmodo.com/the-roborock-q7-max-robot-vacuum-and-mop-hits-an-all-time-low-almost-50-off-for-a-limited-time-2000601313
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@ 63fe6318:330504ed
2025-05-10 09:27:29
nostr:nprofile1qqsyvrp9u6p0mfur9dfdru3d853tx9mdjuhkphxuxgfwmryja7zsvhqpzamhxue69uhhv6t5daezumn0wd68yvfwvdhk6tcpz9mhxue69uhkummnw3ezuamfdejj7qgwwaehxw309ahx7uewd3hkctcscpyug amethyst keeps crashing for me since I added another account
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@ b300db32:0bf5db3a
2025-05-13 13:36:42
A relação entre a teoria dos grafos e a existência de zeros de Landau–Siegel (ou zeros excepcionais) em teoria analítica dos números é **indireta e altamente especializada**, emergindo em interseções específicas entre teoria espectral, teoria dos números e ciência da computação. Abaixo, detalhamos os principais pontos de contato, desafios e limitações:
---
### **1. Ponto Central: Teoria Espectral e Grafos Expansores**
- **Grafos Ramanujan**: Estes são grafos expander ótimos, cujo espectro (autovalores da matriz de adjacência) é limitado superiormente por um valor relacionado à hipótese de Riemann generalizada (GRH). Sua construção utiliza resultados profundos de teoria dos números, como formas automorfas e funções L.
- **Conexão com Zeros de L-Funções**: A existência de zeros excepcionais (Landau–Siegel) em L-funções poderia afetar a distribuição dos autovalores desses grafos, potencialmente comprometendo suas propriedades de expansão. Isso porque zeros próximos a 1 em L-funções implicam em flutuações nos autovalores associados a grafos construídos via grupos aritméticos.
---
### **2. Interações via Teoria de Matrizes Aleatórias**
- **Analogia Espectral**: Ambas as áreas exploram a teoria de matrizes aleatórias. Na teoria dos grafos, o espectro de matrizes de adjacência é estudado para entender conectividade e expansão. Em teoria dos números, a distribuição dos zeros de funções L (como a zeta de Riemann) é conjecturada ser semelhante aos autovalores de matrizes aleatórias.
- **Impacto de Zeros Excepcionais**: Um zero de Landau–Siegel seria uma anomalia na distribuição dos zeros, quebrando a analogia com matrizes aleatórias e possivelmente afetando modelos que unificam ambas as áreas.
---
### **3. Aplicações Algorítmicas e Computacionais**
- **Algoritmos de Fatoração e Primalidade**: Algoritmos como o Miller–Rabin para testes de primalidade dependem de suposições sobre a distribuição de zeros de L-funções. Se zeros excepcionais existirem, isso poderia alterar as estimativas de complexidade ou segurança em criptografia baseada em teoria dos números.
- **Grafos em Redes Criptográficas**: Grafos expander são usados em construções criptográficas (como hash functions e redes de comunicação seguras). Sua eficiência teórica pode estar condicionada à ausência de zeros excepcionais.
---
### **4. O "Santo Graal" da Área**
O grande objetivo seria **provar a inexistência de zeros de Landau–Siegel**, consolidando a Hipótese de Riemann Generalizada (GRH). Isso teria implicações profundas:
- **Para a Teoria dos Números**: Confirmaria limites assintóticos para distribuição de primos e resolveria problemas clássicos (como a conjectura de Gauss sobre corpos quadráticos).
- **Para a Teoria dos Grafos**: Validaria construções explícitas de grafos expander ótimos (como grafos Ramanujan), garantindo sua eficiência espectral e aplicações em ciência da computação.
---
### **5. Fraquezas e Limitações da Relação**
- **Especialização Extrema**: A conexão é restrita a subcampos específicos (como teoria espectral de grafos e L-funções). A maioria das pesquisas em teoria dos grafos não interage com zeros excepcionais.
- **Dependência de Conjecturas**: Muitos resultados são condicionais à GRH ou à inexistência de zeros excepcionais, tornando-os especulativos até que provas rigorosas sejam estabelecidas.
- **Barreiras Técnicas**: As ferramentas matemáticas usadas nas duas áreas (análise complexa vs. combinatória discreta) são tão distintas que dificultam colaborações interdisciplinares diretas.
---
### **6. Descobertas Significativas**
- **Grafos de Lubotzky–Phillips–Sarnak**: A construção explícita de grafos Ramanujan depende da conjectura de Ramanujan-Petersson, ligada à GRH. Um zero excepcional invalidaria parte dessa construção.
- **Expansão em Grupos de Lie**: Grafos definidos sobre grupos como $ \text{SL}_2(\mathbb{Z}/q\mathbb{Z}) $ têm propriedades de expansão vinculadas à não-existência de zeros excepcionais, como demonstrado por Sarnak e Xue.
---
### **Conclusão**
A relação entre teoria dos grafos e zeros de Landau–Siegel é uma ponte ténue, mas rica, que une questões espectrais em estruturas discretas a problemas centrais da teoria dos números. Seu "santo graal" — provar a inexistência de zeros excepcionais — não apenas consolidaria a GRH, mas também garantiria a robustez de construções algorítmicas e criptográficas baseadas em grafos expander. No entanto, a fragilidade dessa conexão reside em sua dependência de conjecturas não resolvidas e na disparidade metodológica entre as áreas.
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@ 79c9f2c0:e20e6ba6
2025-05-13 13:47:26
よく見せようと虚勢張ってる人も近寄らないこと。
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@ 1066a05d:0a475681
2025-05-13 14:05:25
そういえば2001年にボーマン船長って出てくるね
-
@ 63fe6318:330504ed
2025-05-09 17:13:14
2 days build might get ya some bugs lol
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@ 9c5d0df5:418ffcb4
2025-05-13 13:59:40
Metaplanet Issues $15 Million in Bonds To Buy More Bitcoin
https://bitcoinmagazine.com/news/metaplanet-issues-15-million-in-bonds-to-buy-more-bitcoin
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@ 3f770d65:7a745b24
2025-05-13 13:49:03
I forgot the new lingo nostr:nprofile1qqsyfhqu9kuu877hhm5j2lkwk5478nuvgza00d3lgmjkkk9px8r57zcpz9mhxue69uhkummnw3ezuamfdejj7qgmwaehxw309a6xsetxdaex2um59ehx7um5wgcjucm0d5hszxnhwden5te0veex2etvv9ujuum0we3xjapwdphhxap04vlpvm. "Advanced Prototyped".
nostr:nevent1qqs9tfjx7ud9mnle5lwd0v2hq3slv63273r2flv50s9lsazwukuee8qprfmhxue69uhhxetwv35hgtnwdaekvmrpwfjjucm0d5hsygplwuxkt5a8vj5utj6s8tsj8e3wcavc45p4mqmw92qs7wrh5azmyspsgqqqqqqs6sry0g
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@ 79c9f2c0:e20e6ba6
2025-05-13 13:47:10
自分を隠してる人は近づかないこと。