Potoooooooo

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It's basically taking the measurement of the area under a curve. The left does it in uniform chunks, and is often less accurate depending on delta x. The right effectively makes the size of the "chunks" infinitely small and gives a more accurate answer.

Simple version:
Me: Close but either too much or too little potat removed.
Mom: absolutely perfect with no skin and no wasted potat.

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Their technique crudely approximates what they want to do while their mother removes all of the peel, but none of the rest perfectly.

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my grandma peeling potatoes

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I’m sure that’s true, but this one went over my head. Help?

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It's a surface integral of a vector F over a surface S. I guess they are extending the joke from 1D to a 2D surface which is smoothly integrated (peeled).

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this is a surface integral so the joke is (loosely): as opposed to peeling in straight strips (line integral), grandma is peeling continuously without lifting her hand

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Gosh, this is horrifying. I can only assume that was your intention, so congrats if so. Is this a real bird? Surely not

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Sometimes when I'm peeling potatoes, I will peel more aggressively than even the version on the left, because sometimes I want the potatoes to look pretty.

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Left is short cuts of straight lines, simple but more waste. Right is curved cuts following the profile exactly, harder to do but less waste.

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Hahaha! It's a Potoo. For me, it was love at first sight. They look amazing!

Also, don't call me Shirley.

Count Regal Inkwell

I will not hear potoo slander in this house young lady. Or man. I don't know your gender.

Point being potoos are cute derps.