Media Summary: We prove that for n greater than one the nth harmonic number is [Undergrad, Number Theory] We discuss a nice elementary proof showing the n-th harmonic number is If n is greater than 1, then 1+1/2+1/3+...+1/n, namely the nth harmonic number, is
This Is Never An Integer - Detailed Analysis & Overview
We prove that for n greater than one the nth harmonic number is [Undergrad, Number Theory] We discuss a nice elementary proof showing the n-th harmonic number is If n is greater than 1, then 1+1/2+1/3+...+1/n, namely the nth harmonic number, is This is my entry into the Second Summer of Math Exposition. I used to wonder about these questions ever since my first year in ... 443.101 if it's positive or negative so there's an integer -2 fths is a fraction doesn't reduce anymore so that one's definitely Background music: Serenity by Audionautix
e^(π√163) = 262537412640768743.999999999999925... Twelve nines after the decimal point. We compute the Fourier Series of the function cos(ax), where a is