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submitted 1 year ago* (last edited 1 year ago) by fossilesque@mander.xyz to c/science_memes@mander.xyz
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[-] magnetosphere@kbin.social 21 points 1 year ago

I don’t remember nearly enough science stuff to get most of the jokes here. Oh well.

[-] Afghaniscran@feddit.uk 27 points 1 year ago

If I'm not wrong, I think the square root of minus 1 is an imaginary number which is represented by i

Don't ask me anymore questions about this if you want real answers because I genuinely don't know any more.

[-] finestnothing@lemmy.world 19 points 1 year ago

Yep, sqrt(-1) = i. Powers of i are actually really neat imo since they form a loop: i^0 = 1
i^1 = i
i^2 = -1
i^3 (or i^2 x i or -1 x i) = -i
Now the loop starts:
i^4 = i^2 x i^2 = 1 x 1 = 1
i^5 = i^4 x i^1 = 1 x i = i
etc
Any evaluation of i to the power k boils down to i^(k%4). For example, i^726 = i^2 = -1. I know this was super useful in calc 1 or 2 and not used for any of my other math classes, it's just a fun concept to me

Powers of (1/√2 + i/√2) form a nice loop as well :)

[-] magnetosphere@kbin.social 7 points 1 year ago

Okay, that’s a deal. And thanks!

this post was submitted on 06 Nov 2023
333 points (92.2% liked)

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