Factorial Numbers and Their Practical Applications

This paper develops the theory of factorial numbers formed by positional number systems with mixed-base factorial number systems.The fundamentals of the theory of factorial numbers are outlined, a method for obtaining them is given, their range is determined, and noise immunity is assessed.The addition and subtraction operations on factorial number

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Chlamydia pneumoniae is genetically diverse in animals and appears to have crossed the host barrier to humans on (at least) two occasions.

Chlamydia pneumoniae is a common human and animal pathogen associated with a wide range of diseases.Since the first isolation of C.pneumoniae TWAR in 1965, all human isolates have been essentially clonal, providing little evolutionary insight.To address this gap, we investigated the genetic diversity of 30 isolates from diverse geographical locatio

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