0
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0answers
43 views

Find the characteristic equation of a recursive function

I want to determine whether the following recursive function is unstable; $$ x(t+1) = \left( wx+sx(t)^b \over w+x(t)^bs + (1-x(t))^b(d-s) \right) $$ Wikipedia is telling me that I want to have the ...
3
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1answer
359 views

Primitive recursive functions and characteristic functions. Methods of proof- examples. Illumination.

I am puzzling over a sentence in an example in a textbook, showing that a function $f$, defined by cases, is primitive recursive. Let $E$ be the set of even natural numbers. The function $f$ defined ...