How to have a max value for a recurrence equation?
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Hi there,
Just wondering what I would do if I wanted to created a max value (say x) in a set of recurrence equations? I have this set of equations to model memory. I want to set a max value so that once either of the variables L, N, or F reaches value x, it creates a fixed point and remains there.
for n = (2:m)
L(n) = L(n-1)+alpha*(1/L(n-1))
F(n) = F(n-1)+beta*L(n-1)
T(n) = L(n-1)-F(n-1);
Any thoughts?
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Walter Roberson
2020 年 9 月 8 日
You cannot do that with those kinds of equations, not without putting in a conditional definition.
Equations of that form can be [strictly] constant (e.g., alpha and beta are 0). Or they can grow without bound. Or they can oscillate between values. Or they can approach an asymtope. But they cannot reach a steady state except in the constant case.
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Walter Roberson
2020 年 9 月 8 日
I missed the possibility that they can grow without bounds while oscillating between negative and positive.
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