we prove that if $m$ is a monoid and $a$ a finite set with more than one element‎, ‎then the residual finiteness of $m$ is equivalent to that of the monoid consisting of all cellular automata over $m$ with alphabet $a$‎.

due to the algorithmic simplicity, cellular automata (ca) models are useful and simple methods in structural optimization. in this paper, a cellular-automaton-based algorithm is presented for simultaneous shape and topology optimization of continuum structures, using five-step optimization procedure. two objective functions are considered and the optimization process is converted to the single ...

in this paper we proposed a cellular automaton based local algorithm to solve the autonomously sensor gathering problem in mobile wireless sensor networks (mwsn). in this problem initially the connected mobile sensors deployed in the network and goal is gather all sensors into one location. the sensors decide to move only based on their local information. cellular automaton (ca) as dynamical sy...

In this paper we proposed a Cellular Automaton based local algorithm to solve the autonomously sensor gathering problem in Mobile Wireless Sensor Networks (MWSN). In this problem initially the connected mobile sensors deployed in the network and goal is gather all sensors into one location. The sensors decide to move only based on their local information. Cellular Automaton (CA) as dynamical sy...