All Questions

Suppose there is a linearly recurrent sequence $a_k$ satisfies $a_k\geq 0$ and $\sum_{k=1}^{\infty}a_k=1$. Can we always find a $x$ and $r<1$ such that $a_k\leq x r^k$?

I am creating a circular neural network with N nodes. Each node is connected via a send pathway to every other node, and the connection between two nodes has a weight. Any number sent over the ...