Post #4009859
2026-07-22 10:39 UTC
@bemmesr@mathstodon.xyz Let's consider a concrete example that I pinched off a YouTube cover image. If I understand correctly, you're asking why, instead of Bx + C, we don't just put something like D(x) in the right-hand numerator and work from there? And maybe even put E(x) in the left hand one?
Replies (1)
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@bemmesr@mathstodon.xyz 2026-07-22 10:46
@FishFace@ioc.exchange sort of. I wouldn't say ‘just’ do this, since I'm thinking my approach is actually harder, because we'd be ignoring information we have (as in, we know that the left numerator is a constant and that the right is no more than order one), but out of curiosity, what would happen if we went with this order‐agnostic approach where we simply let the numerators stand in for any polynomial in x? I would expect that we get the same final answer, even if it takes longer. So yeah, let the left numerator be called E(x) and the right D(x), as you say.