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'Viralana - deya' means 'Spread and Give'.
The Viralana means the separating of a number into its unities.
Deya means the substitution of 'n' in place of 1. Example: Viralana of 'n' is
1,1,1,1,..............n times. Vargita-Sanivargita of 'n' is obtained by multiplying together the n's obtained by the viralana-deya. For example: Vargita - Samvargita of '3' is: 3.3.3= 33 = 27 Logarithms
The terms used in Dhavata for log2, logz, loga, and log log2 are Arddhaccheda, Trikaccheda, Caturthaccheda and Vargasalaka respectively. Also these terms are well defined. Arddhaccheda : It is denoted by Ac. Arddhaccheda of a number is equal to the number of times that it can be divisible by 2. For example : 32 is divisible by 2 in 5 times, hence Arddhaccheda of 32 is 5.
log232 = 5 Trikaccheda : Trikaccheda of a number is equal to the number of times that it can be divided by 3. For example : 81 is divided by 3 only 4 times, thus Trikaccheda of 81
is 4.
log: 81 = 4 Caturthaccheda 10 : Caturthaccheda of a number is the number of times that it can be divided by 4 e.g. 256 can be divided by 4 in 4 times, hence caturthaccheda of 256 is 4 i.e.
log, 256 = 4 The results related to logarithms in Dhavata can be written in a modern way as follows: (0) 11 log m/n = log m - log n
log (m.n) = log m + log n log, 2 = m log(x) = 2x log x
(ii) 12 (ii) 13 (iv) 14
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Arhat Vacana, 14 (2-3), 2002
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