What's the difference between disconnecting from a remote computer and logging off?

 I put this in one of our internal chatrooms, but it may be useful generally.

Some people are disconnecting from remote computers (using Remote Desktop) and not logging off when asked. If you disconnect all your programs are still running, even though you can't see them. If you log off, they're all closed down. Disconnecting is like leaving an office with your stuff all over your desk. Logging off is like putting everything away and leaving your desk clear, before you then leave the office. I got Dall-E to illustrate these:

Disconnecting:

Logging off

To disconnect:

To log off (ok, sign out is the new fangled word for it)

Click on that icon of a person to get the sign out option