It’s probably too tiny to see at this resolution, but in case anyone was scared of my pdf link, here’s the stain chart I’m trying to figure out.

https://9dbd7f4d-7829-4e14-9ee2-67568ba3b348.filesusr.com/ugd/4049a0_3a4c5fd85e584d9a9ccef47512dbb612.pd

#Stain #Math #MathHelp #DIY #CabinetStain #KitchenRemodel #KitchenCabinetry #Cabinetry #Finishing

Today I'm having a really slow #math brain day. I'm trying to reduce an expression so that I can write it in terms of derivatives and possibly simplify the proof that it has a given Taylor series expansion.

I've currently managed to write the original expression in terms of a certain function f(x) and its first two derivatives as:

f(x) f''(x)/(f'(x)^2)

or equivalently

( f(x) / f'(x) ) / ( f'(x)/f''(x) )

which I've managed to express as

D( log(f'(x)) / D( log(f(x)) )

(D being the derivative operator) but this seems like a dead end. I feel like there's something trivial escaping me. #mathHelp

#math #lexicon question (sorry, I studied these things in Italian, so I don't know the English term). How do you call a sequence or series whose terms have alternating signs *but only after a few terms*?

Think something like
1 1 1 1 1 1 1 1 -1 1 -1 1 -1 ...

#mathHelp

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