3blue1brown
@3blue1brown·8.4M subscribers·240 videos
Intuition for i to the power i | Ep. 9 Lockdown live math
Posted
May 15, 2020
Views
587,764
Likes
9,607
Comments
719
Engagement
1.76%
May 15, 2020
587,764
9,607
719
1.76%
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1:13:38Now Playingi^i, visualized and explained.
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Mistakes:
At 1:06:20, when changing r to equal 0.69*i, I said "this is what we might think of as (2i)^x", but that is not correct. It's what we'd think of as [Exp(ln(2)*i)]^x for whatever complex number Exp(ln(2)*i) is.
Beautiful notes by Ngân Vũ
Video by Matt Parker:
Video by Red Pen Black Pen
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
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Video timeline (thanks to user "nooonesperfect")
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The live question setup with stats on-screen is powered by Itempool.
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Music by Vincent Rubinetti.
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If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
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