What is NAT, what is port forwarding and why do I need to know all this stuff just to make Azureus work?
NAT is Network Address Translation, and it makes it appear from outside as if your entire LAN is a single PC accessible via your NAT router’s public IP address. To machines out on the Internet, it looks as if Azureus is running on your NAT router, just as people calling head office don’t perceive that Mr. Azureus works in a different building. So you need to tell your NAT router how to forward Mr. Azureus’s calls, or he won’t get any. You also need to tell Mr. Azureus what your router’s public IP address is, so he doesn’t put a meaningless number on his business cards.