It should work fine provided that the owner of the open network is aware of the repeater, or has stated that repeaters are okay on their network. Make sure that the management interfaces have a very strong password and has security features enabled. Also, you might want to limit the power and range of the repeater to not annoy others.
Yes, they can.
I would say an ethernet extender/booster/repeater.
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Netgear Push2TV are designed with HD signals in mind and all have an HDMI connector. However, the PTV2000 also has a composite video output for use with any television that does not have HDMI inputs. The composite connection will operate at standard definition only so don't expect to be watching HD quality without HDMI connectors.
The best available wireless router is NetGear N-Dual Band router which relays wireless in two different signals 1 at 2 GHz and the other one at 5 GHz.
Wireless signals have a maximum amount of transmit power, so all signals are roughly the same, excluding exotic antennas.
Voice signals are analog signals, whereas computer signals are digital .
Signals that are likely to be aperiodic include impulse functions, noise signals, and random signals. These signals do not exhibit a repeated or periodic pattern over time.
Hybrid signals are the combination of both analog and digital signals
Analogue signals are more vulnerable to error than digital signals. See the related question "Why digital signals are more noise free than analogue signals?" for more details.
Closing signals can be verbal or nonverbal
There are many ways to boost wifi signal. Try hanging a router from the wall or placing in the center of the room. You could also try investing in an antennae. I bought a signal booster from cellphonesignalbooster.us and it made my wi-fi catch full signals. What it basically does is that its powerful antenna catches signal and passes it to phone booster which amplifies it.