________________
In Dhavala we find that theory of logarithms are mentioned to the base 2, 3 and 4. Of course, the operations with base 10 and exponential are not available.
2.
Fractions
Sufficient material is available in Dhavala on fractions. But these are not found in any known contemporary mathematical work. All these material is present in gathās. Converting thses gathas into mathematical work, we get following results
n2
1.17
n+ (n/p)
18
(v) 15
19 3.
(vi)16
20
4.1
For example (1)
If
Jain Education International
log log(x)) = log x + 1 + log log x log(x** = x* log xx
3
1 - (1/3)
2
Let a number m be divided by the divisors d and d', and let q and q be the quotients, then the following formula gives the result when m is divided by d + d1:
Then
If
Then
and
n
(2)
p±1
1
1 +(1/2) 1
m
d± d1
d
a
b
Arhat Vacana, 14 (2-3), 2002
2
3
q
q
1 ± (q/q1)
m1
d
d(q-q1) + m1 = m.
= 1
q and
a
b + b/n
a
b- b/n
1 +
3
q1
(q1/q) + 1
2
q +
q
n+1
q
n
1
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