For a nonnegative integer p, we give explicit formulas for the p-Frobenius number and p-genus of generalized Fibonacci numerical semigroups. Here, p-numerical semigroup Sp is defined as set integers whose integral linear combinations given positive a1,a2,…,ak are expressed in more than p ways. When p=0, S0 with 0-Frobenius 0-genus original Frobenius genus. In this paper, consider involving Jaco...

An optimization method of the logic circuit of a Mealy finite-state machine is proposed. It is based on the transformation of object codes. The objects of the Mealy FSM are internal states and sets of microoperations. The main idea is to express the states as some functions of sets of microoperations (internal states) and tags. The application of this method is connected with the use of a speci...

In this paper we address the problem of state assignment for Finite State Machines (FSMs). We target the reduction of power dissipation in FSM circuits by minimizing the switching activity in the state register. We introduce a novel state assignment method that utilizes dynamic loop information extracted from FSM profiling data. We propose three different loop-based state assignment algorithms:...

Recommending new items for suitable users is an important yet challenging problem due to the lack of preference history for the new items. Non-collaborative user modeling techniques that rely on the item features can be used to recommend new items. However, they only use the past preferences of each user to provide recommendations for that user. They do not utilize information from the past pre...

This paper considers two estimation prnblems which occur during the implementation design for a f-mite state machine (FSM). The first is a precise estimation of the znduction of a programmed logic aaray implementation (PLA) for a FSM by logic minimization. The second concerns se]cctiou of implementation alternatives based on such estimations. Estimations give the designer a quick overview of th...

Retraction of 'Vibrational evidence for the "missing link" in structural kinship between kanemite and FSM-16 mesoporous silica' by Ewa M. Serwicka, et al., Dalton Trans., 2016, DOI: 10.1039/C6DT01600F.