Manuals/calci/LOGSTAR

LOGSTAR (Number,Base)

• $Number$ is any real number.
• $Base$ base value of the log.

Description

• This function shows the iterated logarithm of the given number.
• In $LOGSTAR(Number,Base)$, $Number$ is any real number.
• $Base$ is the base value of the log.
• Log star is the number of times the logarithm function must be iteratively applied before the result is less than or equal to 1.
• The simple definition of the Log star is :

<math>\begin{cases} 0 & if n\le 1 \\ 1+log*(log n) & ifn > 1 \\ \end{cases}

• The relation between Log star and Super logarithm is log*n=[slog_e(n)] for positive real numbers.
• Also for negative real numbers ,log star value is 0,whereas