(transitive) to get something into one's head

homing missile

to cross someone's mind

(informal, figuratively) to go through someone's mind, to go through someone's head, to run through someone's mind, to keep running through someone's mind

(informal) per head, per person

(informal) to have a big head, to be big-headed, to be full of oneself, to be too big for one's britches

(informal, figuratively) to cudgel one's brain, to puzzle over something; to go to a lot of trouble over something

(archaic) off with someone's head

to go to someone's head

(figuratively) to keep a cool head