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On gapped repeats in a cyclic Fibonacci word

Combinatorics [Submitted on 1 Jun 2026] Title:On gapped repeats in a cyclic Fibonacci word View PDFAbstract:In this article, we consider the words with cyclic indices. For given $s$, we consider the pair $(\iota,\kappa)$ of indices such that the word of length $s$ from $\iota$ is equal to the word of length $s$ from $\kappa$. We give a characterization of such pairs for a cyclic Fibonacci word, and give the number of them.

arXiv CS 8d ago

The gold chart looks precarious. Here's how to profit

Gold is at a technically precarious juncture, and the good news for you is that options market may be mispricing the risk. The metal is hovering near its 200-day moving average while simultaneously testing the 50% Fibonacci retracement of its prior advance, a confluence that technical traders don't take lightly. Compounding the bearish setup, several momentum and trend indicators have rolled over: DMI, along with triangular, weighted, and exponential moving averages, are also all pointing lower.

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