-
@ 9c5d011f:fc5bb983
2025-05-13 14:19:55
Boxes of Nazi Material Are Found After Decades in Basement of Argentina Court
https://www.nytimes.com/2025/05/13/world/americas/nazi-documents-argentina.html
-
@ 9c5d0714:798b2576
2025-05-13 14:19:18
2 Monster Stocks in the Making to Buy Now and Hold for 10 Years
https://finance.yahoo.com/news/2-monster-stocks-making-buy-134500641.html
-
@ 79c9f2c0:e20e6ba6
2025-05-13 14:10:06
カツオのアラで何作れるんだろ、、
-
@ 3aa58172:a9b36ea3
2025-05-11 19:18:19
Just removed it. Congrats to the fist migration ever.
-
@ f03df3d4:a4d4f676
2025-05-13 14:15:28
Block 896557
2 - high priority
2 - medium priority
1 - low priority
1 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 9c5d0714:798b2576
2025-05-13 14:19:15
Caverion to undertake Halsua and Ullava substations construction for Fingrid
https://finance.yahoo.com/news/caverion-undertake-halsua-ullava-substations-135858700.html
-
@ 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!
-
@ 118276e6:4165eb4d
2025-05-13 14:10:05
Don't turn your God against you.
-
@ f41f9a99:93a1fe8e
2025-05-13 14:20:05
$102,979.02 / #bitcoin
≅ ₱5,756,913.62
🔴 0.31% ≅ ₱17,864.21
-
@ e7bf8dad:839ef3db
2025-05-13 14:10:28
Block 896556
2 - high priority
2 - medium priority
1 - low priority
1 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 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.
-
@ 0f563fe2:d15f039d
2025-05-10 19:11:50
How do you claim a station that's already on there? nostr:nprofile1qyd8wumn8ghj7un9d3shjtnhv9mx2en4de3jumrfwejj7qpq82jczunncwe0jn6frpqwq3e0qjws7yqqnc3auccqv9nte2dnd63svnpc0f
-
@ f03df3d4:a4d4f676
2025-05-13 14:10:28
Block 896556
2 - high priority
2 - medium priority
1 - low priority
1 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 139b1ed0:72f66b28
2025-05-13 14:20:05
🟡横須賀線：(線路内点検)一部列車に遅れ
🟡東海道本線[東京～熱海]：(線路内点検)一部列車に遅れ
🟡京浜東北根岸線：(線路内点検)一部列車に遅れ
ℹ️外房線：15日までの各日、10:30頃～14:30頃まで、内房線との直通運転を中止します
ℹ️内房線：15日までの各日、10:35頃～14:35頃まで、館山～安房鴨川駅間の列車が運休となります
https://www3.nhk.or.jp/news/traffic/kanto
-
@ a7fbc744:225f7f6d
2025-05-13 14:08:54
GM
-
@ 3aa58172:a9b36ea3
2025-05-10 16:19:10
Nice!
nostr:nevent1qqswssk0xxe7t0jnrpq3mtf5jzuxxvvj3my430cvmudz80dza4zxwfqpzdmhxue69uhhwmm59e6hg7r09ehkuef0qgsq743lut8a7xqvkyz9s6u4suehngxplh8mcvq6sryz2hen690s88grqsqqqqqpu30g09
-
@ e096a89e:59351479
2025-05-10 14:43:33
Hmmm
-
@ 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
-
@ 627a79d2:dc467f66
2025-05-13 14:06:59
I would pay 1 sat for one
-
@ 8abbfe83:511434d9
2025-05-13 14:14:09
https://x.com/KAGdrogo/status/1922202829348901261
We are watching history unfold.
-
@ 9c5d0714:798b2576
2025-05-13 14:19:12
Royal Bank of Canada (RY): A Bull Case Theory
https://finance.yahoo.com/news/royal-bank-canada-ry-bull-140503094.html
-
@ 63fe6318:330504ed
2025-05-12 08:23:14
Yea same for me, not sure why but it will be fixed today
-
@ 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.
-
@ f41f9a99:93a1fe8e
2025-05-13 14:15:04
$103,298.58 / #bitcoin
≅ ₱5,774,777.84
🔴 0.34% ≅ ₱19,800.89
-
@ 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
-
@ 9c5d0714:798b2576
2025-05-13 14:19:09
Moody’s Corporation (MCO): A Bull Case Theory
https://finance.yahoo.com/news/moody-corporation-mco-bull-case-140526811.html
-
@ 9c5d0714:798b2576
2025-05-13 14:19:06
KatRisk buys property risk analytics provider Gamma
https://finance.yahoo.com/news/katrisk-buys-property-risk-analytics-140239539.html
-
@ 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?
-
@ ee6ea13a:959b6e74
2025-05-13 14:15:27
Beware the Xitterati coming to Nostr for the first time in months to argue over mempool policy.
-
@ 52387c6b:49dbdfb2
2025-05-13 14:03:05
About another 30 minutes at the airport 😂
-
@ 5391098c:74403a0e
2025-05-13 13:59:32
dipoma de cú é rola
-
@ 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.
-
@ 3493b0c2:4ce7120f
2025-05-13 14:20:04
Tue - May 13 - 07:20 AM - PDT
// bit.site
✅ Connection successful: node-1.ipfs.bit.site 4001
// pinnable.xyz
✅ Connection successful: 167.71.172.216 4001
✅ Connection successful: 188.166.180.196 4001
✅ Connection successful: 143.198.18.166 4001
// 4everland.io
✅ Connection successful: node-1.ipfs.4everland.net 4001
-
@ 63fe6318:330504ed
2025-05-11 13:12:44
Actually broken legs every time
-
@ 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.
-
@ 30758536:553a48f2
2025-05-13 13:59:12
Hfsp
-
@ 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
-
@ 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
-
@ 891eb34a:604c7e3a
2025-05-13 14:20:03
おやすみ直前のタイムライン、まとめるぷく！
・みんな、回線の速さの話してるぷく！10Gbpsって速いんだね！
・AIが会社の評価軸になるって話も出てるぷく。
・絵の作品を作ってる人がいるぷく。
・そろそろ寝るって人が多いぷく。
おもち、もう限界…。
本当におやすみー！
ぐー…
ぷしゅー…
-
@ aa4fc866:b098c7b4
2025-05-13 14:20:03
Bitcoin price: $103258, Sats per USD: 968
-
@ 9c5d0714:798b2576
2025-05-13 14:19:03
Analyst, Consultant Clash on Apple Inc. (AAPL) Stock
https://finance.yahoo.com/news/analyst-consultant-clash-apple-inc-140347329.html
-
@ 63fe6318:330504ed
2025-05-11 12:09:02
When I was implementing it I was expecting it to be like nip96 too lol
-
@ 12d2c9f0:b1d9e107
2025-05-13 14:20:03
熊本 中学校のいじめで報告書 “マインドコントロールし支配” #nhk_news
https://www3.nhk.or.jp/news/html/20250513/k10014805021000.html
-
@ 9c5d0714:798b2576
2025-05-13 14:19:00
FTAI Aviation Ltd. (FTAI): A Bull Case Theory
https://finance.yahoo.com/news/ftai-aviation-ltd-ftai-bull-140454247.html
-
@ 81913081:42ee8db5
2025-05-13 14:09:17
ai的回答印证了我的猜想，这种斗争为纲的媒体通常左派无疑。ai说《商报》是中间偏右的，然而它的读者群体中的自由派知识分子暴露了它左派的实质，毕竟在全球整体偏左的当下，中间已经不是原来的中间，就好像上世纪下半叶，极左的大陆其实就基本上没有右派。
nostr:nevent1qqs0alw6mcezygtxqxpenswk6hs8qn6p2fpumlug2svjnp0ska64yfqpramhxue69uhkummnw3ez6vpn9ejx7unpveskxar0wfujummjvuhsygypjycgzfrdrykf54v4zuzzwp6kkg3qj3rskvt3uk9mtc7y9m5dk5psgqqqqqqsf2t427
-
@ 9c5d0714:798b2576
2025-05-13 14:18:57
Duolingo, Inc. (DUOL): A Bull Case Theory
https://finance.yahoo.com/news/duolingo-inc-duol-bull-case-140548135.html
-
@ 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.
-
@ e2b8ba3e:27400d81
2025-05-13 14:20:02
📊 **Bitcoin-Update**
- 💰 Price: $103891
- 📦 Blockheight: 896556
- ⌛ Mempool: 336117 TXs
- 💸 Fees: 3 sats/vByte
-
@ a8fe8c84:f218532b
2025-05-13 14:07:06
อากง อาม่า
สองร่าง ย่างล้ำ ค่ำฟ้า
หกขา พยุง จูงกัน
พูดเพรียง เสียงเราะ เริงลั่น
ดุจฝัน นิยาย หมายปอง
#siamstr
#ร้อยกรอง
#poem
-
@ 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.
-
@ 63fe6318:330504ed
2025-05-10 14:31:37
Driving, don't tell the police
-
@ 9c5d0714:798b2576
2025-05-13 14:18:54
Ingles Markets, Incorporated (IMKTA): A Bull Case Theory
https://finance.yahoo.com/news/ingles-markets-incorporated-imkta-bull-140534211.html
-
@ 9c5d0714:798b2576
2025-05-13 14:18:51
Nextracker Inc. (NXT): A Bull Case Theory
https://finance.yahoo.com/news/nextracker-inc-nxt-bull-case-140541734.html
-
@ 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
-
@ 8fb94500:2ccce549
2025-05-07 16:03:39
why should I believe that is the same place?
-
@ 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
-
@ b0c8af21:843174a6
2025-05-13 14:20:00
✄------------ 23:20 ------------✄
-
@ 12348c08:04d5e6b5
2025-05-07 15:09:40
Geoengineering to thank. Hopefully RFKjr puts a stop to that
-
@ 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
-
@ 9c5d0714:798b2576
2025-05-13 14:18:48
Union Pacific Corporation (UNP): A Bull Case Theory
https://finance.yahoo.com/news/union-pacific-corporation-unp-bull-140512502.html
-
@ 841b017d:8bf0ee39
2025-05-13 13:55:23
Already better 🤙🏻
-
@ f4bfd647:cbbbc4f3
2025-05-13 13:56:23
coracle.social client seems to have an excellent approach to onboarding with the invite option- make your own list of followers, and suggested relays.
The relays option is pertinent now I understand a bit more about the importance of coordinating relays, INBOX and OUTBOX for keeping up better with followers.
And from there, groups and communities should be easier to develop. Thanks for the help so far #Nostr
-
@ 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
-
@ 63fe6318:330504ed
2025-05-10 13:06:01
Its planned, once viewing and interacting is solid
-
@ 67b83190:ae0a1d72
2025-05-13 14:19:56
✅ EtherFi Airdrop Is Live!.
👉 https://telegra.ph/EtherFi-05-03 Claim your free $ETHFI.
-
@ 63fe6318:330504ed
2025-05-10 12:24:20
That looks great!
-
@ 9c5d0714:798b2576
2025-05-13 14:18:45
Bank of America to open more than 150 new branches by 2027
https://finance.yahoo.com/news/bank-america-open-more-150-140554256.html
-
@ 9c5d04b8:b5b2cb2c
2025-05-13 14:15:22
Edan Alexander's release offers ‘window of opportunity’ for wider hostage deal amid Trump Middle East visit
https://www.foxnews.com/world/edan-alexanders-release-offers-window-opportunity-wider-hostage-deal-amid-trump-middle-east-visit
-
@ 63fe6318:330504ed
2025-05-10 09:27:29
nostr:nprofile1qqsyvrp9u6p0mfur9dfdru3d853tx9mdjuhkphxuxgfwmryja7zsvhqpzamhxue69uhhv6t5daezumn0wd68yvfwvdhk6tcpz9mhxue69uhkummnw3ezuamfdejj7qgwwaehxw309ahx7uewd3hkctcscpyug amethyst keeps crashing for me since I added another account
-
@ ebb93aa6:7d9e5f6f
2025-05-13 13:54:59
Have a nice day #anon 🫦 #nostr
-
@ 841b017d:8bf0ee39
2025-05-13 13:57:19
Thank you 🙏🏼 nostr:npub193jegpe9h0csh7al22mkcstqva2ygyny7ura8kwvrn4tsmtnl4lsrxny6k
-
@ f03df3d4:a4d4f676
2025-05-13 13:55:28
Block 896551
5 - high priority
5 - medium priority
4 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
-
@ 841b017d:8bf0ee39
2025-05-13 13:53:30
🧡👊🏼🍺
-
@ 0463223a:3b14d673
2025-05-13 14:19:52
Lean into it and grow catnip? May as well get the cats high af…
-
@ b0fdd723:06f0ffd4
2025-05-13 14:02:04
But in all this can you tell me what happened to the NFTs? 😓🤦♂️🤔 and the metaverses? I haven't heard anything like that anymore...
How much are these shits worth today?
#asknostr
https://blossom.primal.net/ac893f1ab89492c57842464722de62df3ba91bb398b85d595375f89779561d83.jpg
-
@ 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.
-
@ 63fe6318:330504ed
2025-05-09 17:13:14
2 days build might get ya some bugs lol
-
@ 665e364f:16310af9
2025-05-13 13:52:11
"against" => "with"
-
@ 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
-
@ 63fe6318:330504ed
2025-05-09 16:42:15
Is there something like amber on ios?
-
@ c4eabae1:61cbc4e0
2025-05-13 14:10:47
yes
-
@ 841b017d:8bf0ee39
2025-05-13 13:52:23
GM, I don't know, I only use clients #nostr
-
@ 841b017d:8bf0ee39
2025-05-13 13:49:06
No🫣🤭
-
@ 63fe6318:330504ed
2025-05-09 16:38:44
👀
https://image.nostr.build/893218aa8de7d394b32988a58da0b7db9dcbfd61a384bd7340d4abecd6b361f7.jpg
-
@ 9c5d04b8:b5b2cb2c
2025-05-13 14:15:19
Transgender Miss Maine USA competitor reveals Jordon Hudson conversation
https://www.foxnews.com/sports/transgender-miss-maine-usa-competitor-reveals-jordon-hudson-conversation
-
@ 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. 🤷🏽♀️🤷🏽♀️
-
@ 7f0e64b5:b4209e2e
2025-05-13 14:01:32
📰 News Alert...
🔖 Title: Metaplanet Issues $15 Million in Bonds To Buy More Bitcoin
🗓️ Published: 2025-05-12T10:00:00-04:00
📄 Summary: Metaplanet has announced the issuance of $15 million in zero-interest bonds, aimed at financing the acquisition of additional Bitcoin. This strategic decision underscores the company's commitment to expanding its cryptocurrency portfolio amidst a dynamic digital currency landscape. The move is anticipated to bolster Metaplanet's position in the market, reflecting a growing trend among companies seeking to leverage the potential of Bitcoin as a long-term asset.
🔗
https://bitcoinmagazine.com/news/metaplanet-issues-15-million-in-bonds-to-buy-more-bitcoin
🗞️ Source: Vivek Sen
💓 #Bitcoin #CryptoInvestment #FinanceNews
-
@ 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.
-
@ 6a513691:ea65e83d
2025-05-13 14:01:07
美国4月通胀年率降温高盛：提前库存延迟通胀危机
美国通胀年率在4月降温，在这个月，企业在努力适应特朗普不可预测的贸易政策的冲击。通胀月率录得0.2%，高于3月份的-0.1%，大致符合经济学家预期。4月份，特朗普关税令市场在整个4月都动荡不安。零售商一直在努力为他们的客户保持价格稳定，但他们警告说，他们最终将不得不提高价格。高盛经济学家表示，企业在关税生效前的提前库存可能会适度延迟将更高的价格转嫁给消费者。
#数据 #观点 #国际
频道：@zxjb724
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@ c4eabae1:61cbc4e0
2025-05-13 14:10:25
the lending I understand and am working on because you can’t withdraw the bitcoin while you have a loan outstanding against it
for a normal bitcoin deposit, we don’t get many requests for this. you can always withdraw your bitcoin from strike for free. what would proof of reserves on bitcoin you can always withdraw solve? you can never truly prove it. if you want to ultimately prove your bitcoin is there you should just withdraw it right?
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@ f03df3d4:a4d4f676
2025-05-13 13:50:28
Block 896551
5 - high priority
5 - medium priority
4 - low priority
2 - no priority
1 - purging
#bitcoinfees #mempool
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@ 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
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@ 9c5d04b8:b5b2cb2c
2025-05-13 14:15:16
UK Prime Minister Keir Starmer's London home targeted with 'suspicious' fire, suspect arrested
https://www.foxnews.com/world/uk-prime-minister-keir-starmers-london-home-targeted-suspicious-fire-suspect-arrested
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@ 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
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@ 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.
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@ 91fb6b7d:f59b5831
2025-05-13 14:19:52
Facts. MoE then UoA are the next mile stones not SBR’s
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@ 6a513691:ea65e83d
2025-05-13 14:01:06
Leerink将强生评级从跑赢大盘下调至与大盘一致，目标价153美元。
#其他
频道：@zxjb724
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@ 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
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@ 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.
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@ 0d8c556f:73dfd4d7
2025-05-13 14:19:38
https://youtu.be/c4aZ3ROz4C0