bankroll = total pool of resources of which you can draw money from

if you can redeposit if your bust, the source of which you're depositing from is PART OF YOUR BANKROLL.

i'll also add that when i first started playing poker, i took $10 free that a prima skin give me, and i played on the $5NL tables. that's right. my "bankroll" was 2 buyins. i ran good, and got it up to $120. and then ran bad (and probably played bad), and lost it all. i went on a 24 buyin downswing.