cd/entity/John D. Cook· home entities John D. Cook
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John D. Cook

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13:48
2026-08-20
johndcook.com
generative-ai

AI-generated ASCII diagrams

John D. Cook, a mathematician and blogger, tested Anthropic's Claude AI's ability to generate ASCII diagrams, finding that the first attempt to reproduce a graph from his post on the graph imbalance t…

01:35
2026-08-14
johndcook.com
artificial-intelligence

Hadamard Codes and Sphere Packing

Levent Alpöge and colleagues used Claude AI to discover a new Hadamard matrix, prompting a series of posts by John D. Cook on Hadamard matrices and their applications, including NASA's use of a Hadama…

14:02
2026-07-17
johndcook.com
developer-tools

Regular expressions for HCPCS codes

John D. Cook published a blog post on September 23, 2022, detailing regular expressions for matching HCPCS (Healthcare Common Procedure Coding System) Level II codes, which follow the format of one le…

00:21
2026-07-01
johndcook.com
machine-learning

DNA Sequence Alignment and Kings

A blog post by John D. Cook connects central Delannoy numbers, which count king moves on a chessboard, to DNA sequence alignment. The Delannoy numbers D(m,n) represent the number of possible alignment…

14:23
2026-06-17
johndcook.com
ai-research

Formalizing a ring theorem with Lean 4 and Claude

A user tested Claude's ability to generate Lean 4 code to formalize a ring theorem, achieving a proof after 11 iterations but with five unproven 'sorry' sections. The experiment highlights challenges …

18:03
2026-06-16
johndcook.com
large-language-models

Quaternion Rotations, Claude, and Lean

John D. Cook used Anthropic's Claude (Sonnet 4.6 Medium) to find a typo in a blog post about quaternion rotations by asking it to write Lean code verifying the post's theorems. After four iterations, …

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