For finding Jaro similarity I found the matching charecters as follows
matching charecters in string 1 : AABABCAAAC
matching charecters in string 2 : ABAACBAAAC
what is the value of t(0.5*transpositions)? (source: wikipedia)
Transpositions in this context are all those characters that don't match the same position on strings
from wikipedia
m = 10
t = 4/2 = 2
|S1| = 10
|S2| = 10
d = 1/3 * (10/10 + 10/10 + (10-2)/10) = 0.933
these transposition are [A/B, B/A, B/C, C/B] so t is calculed with |[A/B, B/A, B/C, C/B]| / 2.