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buyer/shops will send out the warranty card. they will want your reciept as proof of the date of purchase when you send your laptop for repair.
(that's why they have this clause - "mail the warranty within 7/14 days of purchase" on most things u buy) but usually they'll still give you the warranty if you have date & proof of purchase.
if you buy direct from HP, then the date of delivery will mean the commencement of the warranty.

for mobile phone wise, it also applies to it.
most people dun fill in the particulars cause when they sell off the phone, the buyer can still claim the warranty.