- How does the movie "proof" portray math and mathematicians?

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How do I make my brain smarter for math and stuff like we don't know? Which size of spray tips is more better for 150mm diameter pipe to control the loss factor? What value of n makes √10-3n = 7 true? F(x, y) = (1 + 5xy)^(3/2) then nabla(f( x, y) is? What is the nth derivative of sin^6(x)? Along with the steps pls*?