I am really busy, but I see news like this.
"Brilliant proofs by high school students."
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I am very happy now.
And a senior engineer like me, who have a habit of writing differential equations for everything and pounding them into their computers, is a bit embarrassed.
I would have taken the easy way out, such as, 'I would give the area with the central angle θ as a variable and then do partial differentiation.'
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In addition, I think the students are great, but I also think the teacher was great in helping them write the paper and present it to the public.