The Big Oh Of Data Transfer
Back in 2009, citizens of South Africa were frustrated with internet speed. They raced a carrier pigeon against their ISP. The pigeon had a 4 GB USB stick affixed to its leg and was taught to fly to an office, 50 miles away.
The pigeon won by a huge margin -- only 4% of the data was sent through the internet services as the pigeon reached the destination in 2 hours.
As a sidenote, notice that the pigeon would take the same time to carry a data packet of 10 KB to the same destination 50 miles away. But then again, it'd take the same time to carry a 1 TB hard drive, as well.
If \(n\) is the number of bits being transmitted, how would you characterize the time taken to transmit data by the pigeon (for a reasonable amount of data)?