one of the most beautiful identities i've ever figured out on my own.. (φ is the Golden Ratio)pic.twitter.com/nfRGWISqTl
PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …
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one of the most beautiful identities i've ever figured out on my own.. (φ is the Golden Ratio)pic.twitter.com/nfRGWISqTl
here's my proof for those who were/are curiouspic.twitter.com/8KCSIeCndY
1/ φ < 1 true... But that is assuming the conclusion. 1φ + 1/φ²... Is not that obvious
?? that's like the WHOLE thing .. like the whole idea.. a small number squared gets smaller
For each term, I can't help but agreeing... But that an infinite sums converges *always* needs at least a handwaving help for the great audience.
i suggest that you look back over the proof for geometric series
In such case, the identity you showed here is obvious!
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