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Show HN: A rigorous proof that the imaginary unit "i" is real(PGP and DOI)

https://zenodo.org/records/15771155
1•purrplexia•5h ago
I just published a short, deep, rigorous, math proof showing that the strange behavior of "i" is actually real, continuous, definite integration, and behaves under all axioms of i and Euler's identity. Cryptographically signed (PGP). CC BY 4.0

Chrono Odyssey: A Grand Vision Hindered by Technical Rough Edges

https://medium.com/@barbararobinson2p1u3/chrono-odyssey-review-a-gorgeous-promise-marred-by-rough-execution-9b94ad9872f1
1•bunikopazx•37s ago•0 comments

That boolean should probably be something else

https://ntietz.com/blog/that-boolean-should-probably-be-something-else/
1•todsacerdoti•2m ago•0 comments

Tool Calling with Local LLMs: A Practical Evaluation

https://www.docker.com/blog/local-llm-tool-calling-a-practical-evaluation/
1•shelajev•3m ago•0 comments

There Are No New Ideas in AI Only New Datasets

https://blog.jxmo.io/p/there-are-no-new-ideas-in-ai-only
1•bilsbie•3m ago•0 comments

Show HN: Emoji Tags (VSCode) Tag any keyword with an emoji for clarity and style

https://marketplace.visualstudio.com/items?itemName=Alaadel.emoji-tags
1•xalaa•3m ago•0 comments

Ubuntu: Introducing Debcrafters

https://discourse.ubuntu.com/t/introducing-debcrafters/63674
1•jnsgruk•4m ago•1 comments

UK Online Safety Act Notes for Small Sites (2024)

https://russ.garrett.co.uk/2024/12/17/online-safety-act-guide/
1•fanf2•5m ago•0 comments

Sequential Diagnosis with Language Models

https://arxiv.org/abs/2506.22405
1•FlyingLawnmower•6m ago•1 comments

Coffee Berry anomaly detection using colour and shape separation via L-systems [pdf]

https://www.bio-conferences.org/articles/bioconf/pdf/2025/18/bioconf_icosia2024_05003.pdf
1•PaulHoule•9m ago•0 comments

Accelerating Scientific Discovery with AI

https://news.mit.edu/2025/futurehouse-accelerates-scientific-discovery-with-ai-0630
2•chmaynard•9m ago•0 comments

The Birth-Rate Crisis Isn't as Bad as You've Heard–It's Worse

https://www.theatlantic.com/ideas/archive/2025/06/birth-rate-population-decline/683333/
3•littlexsparkee•10m ago•2 comments

Self-hosting Trigger.dev v4 using Docker

https://trigger.dev/blog/self-hosting-trigger-dev-v4-docker
1•eallam•10m ago•0 comments

Cut the Chit-Chat with Artifacts

http://arcturus-labs.com/blog/2024/11/11/cut-the-chit-chat-with-artifacts/
1•hamelsmu•10m ago•0 comments

Wikipedia: WikiProject AI Cleanup/AI Catchphrases

https://en.wikipedia.org/wiki/Wikipedia:WikiProject_AI_Cleanup/AI_catchphrases
1•cratermoon•11m ago•0 comments

The cosmic distance ladder with Terence Tao: part two [video]

https://aeon.co/videos/how-we-came-to-know-the-size-of-the-universe-and-what-mysteries-remain
1•the-mitr•12m ago•0 comments

Godot Community Poll 2025

https://godotengine.org/article/godot-community-poll-2025/
1•amalinovic•12m ago•0 comments

Natural-Language Agents: MongoDB Text-to-MQL and LangChain

https://www.mongodb.com/blog/post/technical/natural-language-agents-mongodb-text-mql-langchain
1•unripe_syntax•13m ago•0 comments

Honda Recalls More Than 259,000 Cars in the US Due to Brake Pedal Issue

https://www.insurancejournal.com/news/national/2025/06/20/828633.htm
1•crescit_eundo•13m ago•0 comments

Be on the Lookout for 'Scattered Spider' Hackers

https://www.insurancejournal.com/news/national/2025/06/23/828749.htm
1•crescit_eundo•14m ago•0 comments

How do you "effortlessly reply" from any-email AT your_domain.tld?

1•shelled•15m ago•0 comments

The Story of Building Milvus from Scratch

https://milvus.io/blog/journey-to-35k-github-stars-story-of-building-milvus-from-scratch.md
1•Fendy•15m ago•0 comments

Weeks Later, Erie and Philadelphia Insurance Still Working to Restore Networks

https://www.insurancejournal.com/news/east/2025/06/24/828919.htm
1•crescit_eundo•15m ago•0 comments

Building Replication-Safe LSM Trees in Postgres

https://www.paradedb.com/blog/lsm_trees_in_postgres
1•emschwartz•16m ago•0 comments

How urea forms spontaneously

https://ethz.ch/en/news-and-events/eth-news/news/2025/06/how-urea-forms-spontaneously.html
3•gmays•16m ago•0 comments

Turn your boarding pass into a bald JD Vance for airport checkin

https://vance.darefail.com/
1•jimhi•16m ago•1 comments

The Path to Medical Superintelligence

https://microsoft.ai/new/the-path-to-medical-superintelligence/
3•brandonb•16m ago•1 comments

Pretrained Transformers as Universal Computation Engines

https://arxiv.org/abs/2103.05247
1•bilsbie•18m ago•0 comments

Microsoft: AI system better than doctors at diagnosing complex health conditions

https://www.theguardian.com/technology/2025/jun/30/microsoft-ai-system-better-doctors-diagnosing-health-conditions-research
1•andsoitis•20m ago•0 comments

GraphQL Federation over gRPC

https://wundergraph.com/blog/graphql-federation-over-grpc
2•jensneuse•20m ago•1 comments

About that bogus claim that "chess grandmasters" burn 6000 calories per day

https://statmodeling.stat.columbia.edu/2025/06/30/its-sapolsky-time-about-that-bogus-claim-that-chess-grandmasters-burn-6000-calories-per-day/
2•Tomte•21m ago•0 comments