All Articles
1 min read
Knowledge baseJune 16, 2026

random chords, how many intersections?

It's time for a new puzzle of the month. Imagine you choose 10 random chords on a circle. The puzzle is, what's the expected number of intersection points inside that circle? And what about if instead it was 100 [music] randomly chosen chords? Hang on, hang on, hang on, I hear…

3Blue1Brown·YouTube — Andrej Karpathy
Original Source
Key Takeaways
  • 01.It's time for a new puzzle of the month
  • 02.Imagine you choose 10 random chords on a circle
  • 03.The puzzle is, what's the expected number of intersection points inside that circle

This material is provided as an extended analytical summary.

Read full article at source
Aggregated within AI Qazaqstan national intelligence stream with author attribution.

Related Intelligence

All stories →
Knowledge base1 мин

Open Source Security in the Age of AI

90% that's roughly how much of the codebase in a modern enterprise is open-source. Banks, hospitals, power grids, telecoms, cloud platforms, even AI services you use every day. They're all built on code that a relatively small group of creators actually wrote. And a lot of it…

YouTube — IBM Technology AI
Industry AI1 мин

Scale One AI Agent Across Sites (Part 2)

So, let's talk about agentic AI in manufacturing. Hi, my name is Christoph Berlin, vice president of engineering at Cloud AI at Microsoft. Today, I will talk to you about AI [music] in manufacturing and what agentic behavior really does for factories and plants. So, let's talk…

YouTube — Microsoft Developer
Knowledge base1 мин

Google Search study hacks for students 📚

Here are 3 ways to use Google Search to help with your next study session: 📄 Turn your notes into PDFs 1️⃣ Head to AI Mode and tap the ➕ button 2️⃣ Select “Add files” to upload your notes 3️⃣ Search “turn my notes into a pdf” 📝 Make a practice quiz from your notes 1️⃣ Open AI…

YouTube — Google Research