math ppl:
my prof said that "for now" fₓᵧ=fᵧₓ. Anybody know what kind of functions these could be unequal for? terms to google would be cool but ELI5 would be even better. I can't even imagine at this point
, any ideas?
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the problem is that the partial derivatives might not be continuous and then things can get wacky:
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Ok discontinuity is not so wacky*, happens at a point bc of divinding by 0 or whatever. I was worried they were somehow two different functions across the whole domain and it was messing me up inside
I am sure it can get wacky af in some circumstances
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Hey there it is! I knew she used a weird word and I was trying to remember so I could google it
"pathological"
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mathematicians sure like to use invalidating language sometimes 😔
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Wonder how that word ever ended up in mathematics though 🤔 perhaps its a quirk of historical definition?
I see no relation w my folk understanding of it
I've never really paid attention to the language of math, can you think of any other examples of this?
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Oh lol it's right there on the wiki. Basically means its poorly-behaved
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