*rubbing eyes* wait, i… okay, hold on.
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*rubbing eyes* wait, i… okay, hold on. is the dot product of a vector with itself equal to its length squared?
how did i never notice that
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*rubbing eyes* wait, i… okay, hold on. is the dot product of a vector with itself equal to its length squared?
how did i never notice that
@mcc That's even taken as the definition of length pretty often, especially for infinite-dimensional vectorspaces (e.g.: the inner product of two functions that admit Fourier decompositions).
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*rubbing eyes* wait, i… okay, hold on. is the dot product of a vector with itself equal to its length squared?
how did i never notice that
@mcc in Hilbert Spaces (vector spaces with an inner product) that’s the definition of the norm. And then from there you define the metric.
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*rubbing eyes* wait, i… okay, hold on. is the dot product of a vector with itself equal to its length squared?
how did i never notice that
@mcc Meanwhile, "squared magnitude" is the only way I can remember how a dot product is structured.
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@linkachus17
Yes, it's such a beautiful day.
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@zeank
*mrrrrp*
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Ho visto la partita che ha vinto a Dubai contro Jasmine Paolini. A parte la qualità del gioco, non si poteva non tifare per lei vedendo i tifosi che hanno trasformato l'arena in uno stadio di Manila, ben sapendo le condizioni di lavoro che gran parte di loro sopporta (non soltanto) in quei Paesi. Fenomeno #AlexandraEala, quando il #tennis ispira una nazione ad essere migliore https://www.supertennis.tv/News/Wta/eala-editoriale-philippine-star-tennis-e-orgoglio-nazionale
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@akiro75.bsky.social
Oh grazie!!
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The question is not if, it's when. I am dead serious that we will have never seen a cybersecurity incident like this before, because it can self-mutate at a pace much faster than random mutation in physical viruses.
Workshopped a phrase for it a bit with @quintessence last night: "evolution through artificially intelligent design" of malicious behaviors.
The only solution I can think of once this happens is to shut down network access, particularly to AI service providers, and roll back to software distros based on software that came out a year older and patch our way back up against known CVEs while we try to sort everything out.
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The interesting thing about the AI worm being imminent thing is this is the first time where I have said something about AI where most of the well-informed sides of anti-ai and pro-ai friends I have both fully agree with me. If you are paying attention enough, you can see that all the pieces are falling in place.
In fact, the biggest debate is whether this has happened already, and we just haven't seen proof of it yet. I don't know. Given how long things like the xz attack have sat undetected, and given how much chaos of computation is happening in datacenter usage right now, I wouldn't doubt it.
