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Hamming, "n-Dimensional Space" (April 14, 1995)

securitylectures · lecture · Watch on YouTube

Pure mathematicsUniversity lectures & courses

What it is

Richard Hamming's 1995 lecture on n-dimensional space, showing how geometric intuition about spheres and cubes breaks down in high dimensions. It is part of his course on learning to learn.

Why Hacker News recommends it

Recommended as the source for counterintuitive high-dimensional geometry and described as an eye opener.

  • 3 people recommended it
  • 3 different months
  • 1 strong recommendations
  • first 2022, last 2024

What HN commenters said

  1. “This was an eye opener to me.”

    Hamming lecture showing why intuition fails in higher dimensions.

    bgnn, 2024-09 · Strong recommendation · in “How does cosine similarity work?”

  2. “Richard Hamming includes a section on this in his n-dimensional spaces talk”

    Hamming lecture covering high-dimensional sphere and cube geometry.

    it_does_follow, 2022-01 · Recommendation · in “A high-dimensional sphere spilling out of a high-dimensional cube”

  3. “I highly recommend checking out Hamming's lectures if you find this enjoyable.”

    Hamming's lecture on n-dimensional space, the source of the article's ideas.

    time_to_smile, 2023-05 · Recommendation · in “Counterintuitive Properties of High Dimensional Space”

Excerpts from Hacker News comments, linked to the originals. Summaries and labels were written by a language model from those comments.

Topics: hamming, n-dimensional space, hypersphere, curse of dimensionality, mathematics

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