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Mathematics
General Math
Can chatgpt accurately calculate expected lengths in Pascal's triangle?
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[QUOTE="Office_Shredder, post: 6845397, member: 53426"] I think everything [USER=467682]@Infrared[/USER] wrote is right! I was thinking about 3 a bit more. If you draw a curve that splits the complex plane into two, and ask is there a non constant holomorphic function on all of ##\mathbb{C}## that is real valued on this curve, the answer is no if the curve creates a bounded section, yes if the curve is a line (you can create a linear function that satisfies this). What about other curves? Is there a holomorphic function that is real on all points of the form ##x+x^2i## for example? #4 If ##a,b,c## are positive integers such that ##a+b+c=72##, find the maximal possible value of ##(a-b)^2+(b-c)^2+(c-a)^2##. Don't worry, I didn't forget about the high school level problems! Chatgpt claims this is a classic high school question, I'm curious if anyone has ever explicitly seen it before. [/QUOTE]
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General Math
Can chatgpt accurately calculate expected lengths in Pascal's triangle?
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