The only way is up... or neat?

Neat or Up ???

When serving a nice cocktail, without ice in the glass, there are two different serving possibilities: up or neat. Now what's the difference? 

Neat
This terminology is used for drinks served at bottle temperature, without extra chilling like stirring or shaking with ice cubes.  

Up
This terminology is used for drinks chilled while preparing (shaking, stirring, ... with ice cubes), but served without ice in the glass. They are usually served in a coupe or Martini glass.