31–40 of 43 posts
> (Note: I asked AI for the integral of the Gaussian, I hope it got it right!) It seems like malpractice to not even check this.
It's an illustration for a blog post on a largely different subject, it really doesn't matter. Who would be looking up the integral of one of the most common functions in applied math in a random philosophical article aimed mostly at SREs?
Good shout out. Same as with integral calc though, a bag of common tricks can get you pretty far. Would make for a good training regimen.
Is that true? The derivative is a global answer. An equation that gives you rate of change globally given any local input.
I think there’s a better answer here.
There is this thing though: https://en.wikipedia.org/wiki/Risch_algorithm , the best practical implementation was Axiom CAS
> Synthesis is harder than analysis Taking this statement at face value, it means something in computer science: computing an answer (synthesis) is currently believed to be harder than checking an answer (analysis). The simplest example to illustrate the claim is that factoring a number is harder than multiplying the two factors to check that it equals the original number, or even to decide whether the original is pr…
> Synthesis is harder than analysis Taking this statement at face value, it means something in computer science: computing an answer (synthesis) is currently believed to be harder than checking an answer (analysis). The simplest example to illustrate the claim is that factoring a number is harder than multiplying the two factors to check that it equals the original number, or even to decide whether the original is pr…
except factorisation is stupid easy
If my understanding of Kant is correct, then all analysis (i.e. taking things apart) is synthesis (i.e. putting things together) in reverse, and therefore the latter is a necessary prerequisite of the former. According to him, our minds very first brush with the real world (whatever that might be) is in the form of the "manifold" of raw sensory signals sans any form whatsoever (not even spatial or temporal arrangemen…
If my understanding of Kant is correct, then all analysis (i.e. taking things apart) is synthesis (i.e. putting things together) in reverse, and therefore the latter is a necessary prerequisite of the former. According to him, our minds very first brush with the real world (whatever that might be) is in the form of the "manifold" of raw sensory signals sans any form whatsoever (not even spatial or temporal arrangemen…
I haven't read Kant, but I like this description so much that I how it's indeed a good summary of some of his works. o7 Is this the main idea of Critique of Pure Reason ?
Earlier quoted context omitted.
Go ahead and start cracking RSA keys, then.
careful what you wish for