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What is Euler's formula actually saying? | Ep. 4 Lockdown live math

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Further reading 1

What becomes visible when you change representation? →An average, a spectrum and a geometric diagram each foreground a different structure. Before asking which view is intuitive, ask which comparison you need it to support.This video helps answer · When do an infinite series and a geometric answer agree?

Caption notes

A convergent series gives a way to approximate the exponential numerically. At angle π the circle’s vertical coordinate vanishes and its horizontal coordinate is −1, giving an independent geometric check.

Video or transcript source ↗
Original passages · 2
you can chop off the series pretty early to get an approximate value
What is Euler's formula actually saying? | Ep. 4 Lockdown live math · ▶ 8:57–9:07
the y component, sine, is actually 0
What is Euler's formula actually saying? | Ep. 4 Lockdown live math · ▶ 4:57–5:06

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