Can someone please explain this to us smoothbrains who never finished school? I see a for-loop on the left, and some sort of integral on the right, but that's about it..
this post was submitted on 07 Jan 2025
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Yep the left is just measuring via repeated addition of slices n times, the right is the same but the slice thinness can approach 0, and the number of times approaches infinity
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 size of the chunks). 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.
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.
Their technique barely gets them close to their goal, while their mother removes all of the peel, but none of the rest perfectly.
my grandma peeling potatoes
I’m sure that’s true, but this one went over my head. Help?
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
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).
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.
Gosh, this is horrifying. I can only assume that was your intention, so congrats if so. Is this a real bird? Surely not
Hahaha! It's a Potoo. For me, it was love at first sight. They look amazing!
Also, don't call me Shirley.
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.
Wholesome math meme :)
smooth