what is the relationship between bandwidth and hash rate?

what is the relationship between bandwidth and hash rate? I have an AntMiner S4 mining at 2.1GHashes. I understand that the miner has no hard drive, and does its operations purely in memory, and that the device sends and receives data when calculations are complete.

My question is what does running a Bitcoin Miner do to network load (I am assuming network load is a function of Hash rate).

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Blocksafe Applies Blockchain Tech to Improve ‘Smart Guns’

Will blockchain technology make “smart guns” more acceptable? Kevin Barnes, chairman and CEO of Blocksafe, thinks he has a good chance. The blockchain brings improved security and privacy to “smart gun” technology, which could appease critics. Smart guns have embedded computers to enhance safety by preventing anyone other than authorized parties from firing the weapons. […]

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