Is there a table of properties for an authorized computer and an associated device somewhere?

Question

I'd like to see a table of properties/capabilities for an associated device and an authorized computer.
Here's a rough draft ---
Does one exist?  Where is it?  When was it written?  Is it accurate for today's use?
Has there been a graphic made of the relationships, like 1 to many, 1 to 1 etc?
Header 1
Header 2
Header 3
Header 4
Header 5
Properties
Authorized Device
Unauthorized Device
Associated Device
Unauthorized Device
Can  buy an app and download it  while connected to home network
Can buy an app and download it while away from the home network
Ditto for buying music and downloading it
Can update app without being tethered or in network of it's home share computer
can depend on icloud backup of app data
can stream playing of music or video from another device
can be associated with more than one apple id
can be authorized by more than one appled id
can be authorized but not associated
can be assoicated but not authorized
can be associated with two computers
can be associated with 2 computers in 2 different home share networks
can change association from one computer in Home Share Network A, to another computer in Home Share Network B
can download from computer or device in the Home Share Network
    no internet connection required

Answer 1

Hi PuzzleBreaker,
It's not as complicated as all that....but no, there is no such table anywhere - you could fill yours out with the information below applied to your devices :
Authorizing and deauthorizing a computer allows you to manage which computers can sync or use apps, audiobooks, books, music, movies, or other content you've purchased from the iTunes Store.
You can use or sync your purchases from the iTunes Store on up to five different  computers (these can be any mix of Macintosh or Windows-compatible  computers). When you sync or play an item you've purchased, your computer is  "authorized" for purchase using your Apple ID. (So, AUTHORIZING is something you do with a computer only - not a device, and it basically lets you have access to be able to play music, movies, do syncing, etc. with items in the iTunes library on that computer)
When you turn on iTunes Match or Automatic Downloads, or when you download past purchases on an iOS device or computer, that device or computer becomes associated with your Apple ID. This article describes how to manage these associations.
Your Apple ID can have up to 10 devices and computers (combined)  associated with it. Each computer must also be authorized using  the same Apple ID. Once a device or computer is associated with  your Apple ID, you cannot associate that device or computer with another  Apple ID for 90 days. You can view which devices or computers are  currently associated, remove unused devices or computers, and see how  long before they can be associated with a different Apple ID from the  Account Information page in iTunes on your computer (So, ASSOCIATING is something you do with your AppleID - and on a computer in conjunction with an Authorization - to allow you do download past purchases, or use iTunes Match).
Hope this helps! Good luck with your chart!!!
Cheers,
GB