To stay at home and refrain from going out for a typical date. Partaking in the typical events that a couple may do on a date, where the location of these events is at home, rather than going out. See: staycation. Popular with couples with kids without a babysitter.
Instead of going out to eat at a restaurant followed by a trip to the movies, my wife and I had a staydate last night. My husband made a great dinner at home and I found a movie on Netflix instant to watch. Staydates are the best, and so economical.
It's the act of sitting next to a person with whom you are studying. This could be either a real date, (1)if you like this person and this person likes you. This serves as the primer for a legit date to come. Or it could be a (2)"pretend" date, if you are just friends and loosely use the term "date".
i.e. (1)
Sean: Heyyyyy wanna go to Starbucks? I'll help you study for your stats midterm ;)?
Natalie: *I wonder if it's a study date because he is super cute but kinda not.. idk yet, do I like him? hmmm* Sure, see you there at 7pm!
i.e (2)
Sean: Natalie, wanna go on a study date at the library?
Natalie: Sure, I'll bring my books! *Hope he knows there won't be any action.... ;)*
Pajama casual is a term used when working from home and preparing for a video conference. All business above the waist and your pajama pants down below.