________________
etc.
by the symbol in a following manner.
al' = aa, al-a '.
a = a7?1 It is an exclusive, original and unique contribution of the Jaina school of Indian mathematics to mathematics. Moreover, it is independent of the Jaina mode of indicating powers of a number.
It yields very gigantic numbers in less than no time. Here is the fact that
273 = 256256 a number higher than the total number of particles (which is of the order 1082) in the universe.
It leads to form very fastly increasing sequences. For instance,
2, 22, 44, 256256, Before the subject of theory of logarithms is taken up, we would like to make a remark that the Jaina school of Indian mathematics advanced theory of indices in requisite structure through the ideas that have been mentioned in the just gone pages. 3. ON THEORY OF LOGARITHMS If for a positive number a, a = 1
R = a' then r is called the logarithm of R to the base a, notationally
logoR = r where log is taken as the abbreviation of the logarithm.
It is called the index definition of logarithm. Only this one is known to today's mathematics students. The nearly same definition, the Jaina school of Indian mathematics speaks but to the particular base.
logP + logQ = logPQ logP - logQ = log (
P Q )
q.logP = logp These are the principal laws of logarithms. In the late tenth century,
Arhat Vacana, 15(4), 2003
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