transform a reccurence formula into an explicit one | Mathematics | Page 1

harsh ember Apr 5, 2023, 5:57 AM

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Basically, I have this formula :
Un+1 = Un^2 + a
U0 = 0
With « a » being any number (even complex ones)

What I want is to transform this forumla into an explicit forumla :
Un = …

Does someone have any idea on how I could do it ? (This is a personal project not for school or anything else like that)

versed eagleBOT Apr 5, 2023, 5:57 AM

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strange lily Apr 5, 2023, 2:06 PM

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could you please make it more clear whether Un+1 = U(n+1) or U(n)+1

crimson ocean Apr 12, 2023, 8:29 AM

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,align
U_{n+1} &= U_n^2 + a \
U_0 &= 0

ember harnessBOT Apr 12, 2023, 8:29 AM

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FuriousChocolate

crimson ocean Apr 12, 2023, 8:29 AM

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I think he’s saying this

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This is the Mandelbrot set

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Theres no explicit formula for it

wooden salmon Apr 4, 2024, 7:14 AM

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.close

#transform a reccurence formula into an explicit one