At the data center there was electricity outage. And it appears that at that time my replication stopped syncing because it said something like this; "I cannot find the next position. Last proper position was at mysqld-bin.000137 at 1234567890. What is going on?" Then I said "Ok, whatever, just start reading mysqld-bin.000138. It looks like the next file". And now, after an half hour it looks like there is no problem. I mean it replicates.
However I don't know whether there is missing data in my slave. If there is missing data what is going to happen? Eventually will the slave be synchronized if there is lots of deletes, inserts, and updates?