Checking "Remember my User ID" on this Computer will save your User ID on the computer you are using so that you don't have to retype it every time you log in.
To turn off this feature, just click the red circle from the dropdown box and your User ID will not appear the next time you log in.
Security Tip: When you save your User ID, it's stored on the computer you are using; therefore, you should never save your User ID on a public computer.