Osaka - Azumanga daioh

Osaka, its not her real name, but shes a transfer student from Osaka and everyone gave her that nickname and she just accepted it.. You never actually get to know Osakas real name..
She is a smart student but she views the world very differently than most normal people, she usually is day dreaming or thinking of very obscure things that are quite out of the box ideas.
Sometimes she seems incoherent to whats going on around her but her friends never worry or are concerned about it or whatever other weird things Osaka might do or say.