05/28/2021, 10:31 PM
Ah! I saw you dropped here and there some french words in your papers so I tried to share it (there are large Italian communities in Canada).
Btw I'm not sure it is good as an intro to hyperoperations. But it could be the first step for the unification of Gottfried's matrix methods and the compositional methods for iteration.
The paper arose initially as an attempt to answer to real analysis question a friend asked me, a challenge. He asked me when a fibonacci sequence defined with different initial values was divergent or convergent and for which initial values we have convergence. In that paper I show that a generalized fibonacci sequence converges only if the initial condtition lies in the eigenspace associated with the silver ratio (golden and silver ratio are the two eigenvalues of the "fibonacci matrix").
Btw I'm not sure it is good as an intro to hyperoperations. But it could be the first step for the unification of Gottfried's matrix methods and the compositional methods for iteration.
The paper arose initially as an attempt to answer to real analysis question a friend asked me, a challenge. He asked me when a fibonacci sequence defined with different initial values was divergent or convergent and for which initial values we have convergence. In that paper I show that a generalized fibonacci sequence converges only if the initial condtition lies in the eigenspace associated with the silver ratio (golden and silver ratio are the two eigenvalues of the "fibonacci matrix").
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)
