@techreport{SultanowVolkovCox2017, author = {Sultanow, Eldar and Volkov, Denis and Cox, Sean}, title = {Introducing a Finite State Machine for processing Collatz Sequences}, edition = {1st version}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-399223}, year = {2017}, abstract = {The present work will introduce a Finite State Machine (FSM) that processes any Collatz Sequence; further, we will endeavor to investigate its behavior in relationship to transformations of a special infinite input. Moreover, we will prove that the machine's word transformation is equivalent to the standard Collatz number transformation and subsequently discuss the possibilities for use of this approach at solving similar problems. The benefit of this approach is that the investigation of the word transformation performed by the Finite State Machine is less complicated than the traditional number-theoretical transformation.}, language = {en} } @techreport{SultanowVolkovCox2017, author = {Sultanow, Eldar and Volkov, Denis and Cox, Sean}, title = {Introducing a Finite State Machine for processing Collatz Sequences}, edition = {2nd version}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-404738}, pages = {17}, year = {2017}, abstract = {The present work will introduce a Finite State Machine (FSM) that processes any Collatz Sequence; further, we will endeavor to investigate its behavior in relationship to transformations of a special infinite input. Moreover, we will prove that the machine's word transformation is equivalent to the standard Collatz number transformation and subsequently discuss the possibilities for use of this approach at solving similar problems. The benefit of this approach is that the investigation of the word transformation performed by the Finite State Machine is less complicated than the traditional number-theoretical transformation.}, language = {en} }