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The sheer amount of linear algebra number crunching vs some database lookups is monumental. I don’t see how an LLM could ever be as efficient as a search engine.

Search engines aren't just some database lookups, is the thing. There's actually quite a bit of linear alegbra involved in both, for page ranking especially

Anyways these sorts of comparisons make no sense to begin with, and quite obviously at the moment the worst actors cough xAI cough who are deploying massively polluting generators into residential neighborhoods are much worse than, say, Google Search

When I took linear algebra at uni in 2012, one of the examples to show practical applications in our text book was the PageRank algorithm!

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