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Adding an imaginary unit to a finite field

https://www.johndcook.com/blog/2025/11/16/finite-field-i/
7•ibobev•2h ago

Comments

Syzygies•52m ago
My gut, reading the HN title, was "half the time". I had to read the article, to see how many words piled up before he said that.

Of course, considering finite fields of prime power order, one might leap to the conclusion "a quarter of the time". One can adjoin "i" for prime powers p^n for half the primes and odd n.

Alas, this be wrong, for an amusing reason.

How Your Brain Creates 'Aha' Moments and Why They Stick

https://www.quantamagazine.org/how-your-brain-creates-aha-moments-and-why-they-stick-20251105/
1•wjb3•1m ago•0 comments

Quantum computing tech keeps edging forward

https://arstechnica.com/science/2025/11/quantum-roundup-lots-of-companies-announcing-new-tech/
1•wjb3•1m ago•0 comments

Microsoft Patch Tuesday, November 2025 Edition

https://krebsonsecurity.com/2025/11/microsoft-patch-tuesday-november-2025-edition/
1•todsacerdoti•2m ago•0 comments

What Do P Values Mean?

https://www.medscape.com/viewarticle/skills-lab-what-do-p-values-really-mean-2025a1000sa6
1•wjb3•2m ago•0 comments

Show HN: TrieLingual: Study languages with prefix tries (and puns)

https://github.com/mreichhoff/TrieLingual
1•mreichhoff•3m ago•0 comments

Brain Waves Are the Hidden Engine Behind Thought and Consciousness

https://thedebrief.org/mit-neuroscientist-proposes-brain-waves-are-the-hidden-engine-behind-thoug...
1•DrierCycle•14m ago•0 comments

Dnstap-receiver: a dnstap streams receiver in Python

https://github.com/dmachard/python-dnstap-receiver
1•fanf2•16m ago•0 comments

Never Record a Meeting

https://rumination.computer/articles/never-record-a-meeting/
1•hazn•16m ago•0 comments

Ask HN: What could possibly happen so people would want to read more?

1•jstummbillig•16m ago•1 comments

Are these still relevant with LLMs?

https://go-proverbs.github.io/
1•MorehouseJ09•21m ago•0 comments

Custom Asidenotes

https://meyerweb.com/eric/thoughts/2025/10/29/custom-asidenotes/
1•iansteyn•21m ago•0 comments

Twemoji: Emoji for Everyone

https://github.com/jdecked/twemoji/issues/10
2•thatxliner•22m ago•0 comments

A Realistic AI Timeline

https://vintagedata.org/blog/posts/realistic-ai-timeline
1•jxmorris12•23m ago•0 comments

Show HN: Skillz – Use Claude Skills Anywhere

https://github.com/kevinslin/skillz
1•kevinslin•24m ago•0 comments

Startup = Growth

https://paulgraham.com/growth.html
1•ugur2nd•24m ago•0 comments

Show HN: A cleaner, safer, plug-and-play NanoGPT

1•SergiuNistor•26m ago•0 comments

Proving Without Revealing: Merkle Trees for Event-Sourced Systems

https://docs.eventsourcingdb.io/blog/2025/11/17/proving-without-revealing-merkle-trees-for-event-...
1•goloroden•27m ago•0 comments

Goodbye, Zcash Company. Hello, Electric Coin Company (2019)

https://electriccoin.co/blog/goodbye-zcash-company-hello-electric-coin-company/
1•salkahfi•29m ago•0 comments

FolioCV – Resume to neo-brutalist Portfolio Creator

https://foliocv.vercel.app/
1•ig1201•31m ago•0 comments

Observation of charge–parity symmetry breaking in baryon decays

https://www.nature.com/articles/s41586-025-09119-3
1•perlgeek•34m ago•0 comments

Inferring Consciousness in Phylogenetically Distant Organisms Godfrey-Smith

https://direct.mit.edu/jocn/article/36/8/1660/120485/Inferring-Consciousness-in-Phylogenetically
1•DrierCycle•34m ago•0 comments

Ask HN: How do you choose your next programming language to learn?

3•lopz•34m ago•4 comments

First evidence of a sixth sense you can't see

https://newatlas.com/biology/extra-sense-hands/
1•dabinat•36m ago•1 comments

The Simplest Ultrasound Sensor Module, Minus the Module

https://hackaday.com/2025/11/16/the-simplest-ultrasound-sensor-module-minus-the-module/
1•ikbdsk•37m ago•0 comments

Peter Thiel sells off all Nvidia stock, stirring bubble fears

https://www.thestreet.com/investing/peter-thiel-dumps-top-ai-stock-stirring-bubble-fears
20•hypeatei•39m ago•8 comments

Call Me Maybe: Eavesdropping Encrypted LTE Calls with ReVoLTE

https://montsecure.com/research/revolte-attack/
1•vxvrs•40m ago•2 comments

Wasteland Wrap-Up #51

https://doomsdaymachines.net/p/wasteland-wrap-up-51
1•chmaynard•49m ago•0 comments

macOS Background Task Managment

https://notes.crashsecurity.io/notes/b/FC3F508F-3AF5-42BC-8573-E08B059A8E0E/Background-Task-Manag...
3•ahalbert2•54m ago•0 comments

Elon Musk's SpaceX Set to Win $2B Golden Dome Deal

https://www.wsj.com/politics/national-security/elon-musks-spacex-set-to-win-2-billion-pentagon-sa...
3•testing43523•54m ago•0 comments

Peitho – A self improving social media AI agent

https://www.peitho.xyz/
2•Nikp263•56m ago•1 comments