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Results tagged with recursion
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user 43111
For questions about defining recursive functions, recursive algorithms and solving recursive equations.
2
votes
1
answer
90
views
Writing fully coupled recursion equations as one generic equation
The following pair of coupled recursion equations represents movement between population 1 (x[1, t]) and population 2 (x[2, t]) over time (t). … x[k_,t_] := x[k,t] = (1-m) x[k, t - 1] + m x[l, t - 1]
x[1, 0] := 1
x[2, 0] := 0
Is this possible in the context of a recursion equation? …
- 135
6
votes
3
answers
186
views
Speed up iteration of pair of fully coupled recursion equations
I am trying to do several hundred iterations of these fully coupled recursion equations (but will use twenty iterations for the example). … I have read several posts about partially coupled recursion equations (e.g. Solve pair of recurrence relations, How do I use RSolve to solve a system of recurrence relations?) …
- 135
1
vote
1
answer
93
views
Forward iterations of coupled recursion equations
I need to do forward iterations of a system of 16 coupled recursion equations that track the frequency of genotypes over time in a biological model. …
- 135
1
vote
1
answer
214
views
Coding a simulation of multi-species population dynamics
I want to code several steps in a recursion equation (in my case, migration, followed by selection, followed by mating, etc in a population). … I am hoping someone has a better suggestion that makes use of Mathematica's recursion equation construction and memoization.
In step 1 I was able to code a pair of coupled recursion equations. …
- 135