Recent content by slurms

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    Deriving spatial derivatives

    ok, I'll just describe what I did. First I drew a sphere and arrows representing the basis vectors: r, r theta, r phi sin theta. Where they meet, r x theta = phi. I see that maintaining that implicit order for the determinant of the curl results in the correct results for the curl: {r...
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    Deriving spatial derivatives

    I know. But I did describe the problem I was having. I didn't realize how low-res rhe images would come out. Initially I posted the entire page, and then I divided it in 2 like this. My work is kinda legible enough if you know what you're looking for
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    Deriving spatial derivatives

    you read the rest of the paragraph. This is it?
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    Is A.I. more than the sum of its parts?

    well, sort of. I'm saying we're trying to fake natural selection, and adversely being wasteful with the invested resources. The whole idea of AGI is essentially "if we build it, they will come," but I clearly don't believe it.
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    Deriving spatial derivatives

    I actually figured out at least part of my answer. I was ignoring the space made by r x theta = phi, or more specifically i was working in the incorrect space r x phi = theta, which is why some of my components are the negative of the accepted answers. I figured this out by looking at my...
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    Is A.I. more than the sum of its parts?

    Well, according to hater Ed Zitron, these attempts at specialization have been more costly in every sense: dollars, compute time, electricity.
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    Is A.I. more than the sum of its parts?

    This is in a nutshell what its proponents want to believe. Neuroscience has identified several innate modules that facilitate a certain kind of development, as well as certain specialized neuronal components such as mirror neurons. Currently when LLMs attempt to make better specialization, it is...
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    Deriving spatial derivatives

    See photo. First, I see that I get more standard results by crossing theta before phi. What's the importance of that? Also I'd get more standard results by allowing some r or sine factors to leave their derivative enclosures and unify.