Remote server is a very general category. It refers to any computer offering information to other computers. Most of the time, this refers to connecting to a server across the internet and this can be for the purpose of obtaining media, information, or really anything you might want to get from another computer. Large networks will often have a "remote DESKTOP server" as well, allowing login over the local network or across the internet to use the server, network and internet connection as if you were physically sitting in front of it. There are myriad other ways to describe a remote server,but this covers the basics.
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