For any non-square integer multiplier \(k\), there is an infinity of triangular numbers multiple other numbers. We analyze the congruence properties indices \(\xi\) Remainders in relations modulo \(k\) come always pairs whose sum equal \((k-1)\), include 0 and only \((k-1)\) if prime, or odd power a even square plus one minus two. If twice number \(n\), set remainders includes also \(n\) \((n^{...

1— The non-fragmentable nature of Ethernet data frames, as well as operation of the priority oriented packet schedulers in the Optical Network Units (ONUs) along with heavy network load conditions and the lack of detailed knowledge about the queues composition at the Optical Line Terminal (OLT) level, result in the creation of upstream channel slot remainders. Non-preemptive packet schedulers a...