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Public Display of Ignorance 

A public display of ignorance, or PDI, can be used to describe someone who is sharing information that highlights their overall lack of understanding of the topic at hand. Public displays of ignorance can often be found on twitter.
Person 1: "Did you see that response to Donald Trump's tweet?"
Person 2: "Yeah dude, I can't believe people are that stupid. A public display of ignorance right there"

Public display of affection 

Couples operate in public areas, and they display affection such as holding hands, kissing etc. They do this to rub it in single people's faces that they don't have a boyfriend/girlfriend.
'Woh. There's some serious PDA goin on here. I wish they'd bugger off, they're makin me depressed.'
Public display of affection by Mary November 25, 2003

public display of erection 

This is when you get an awkward boner in public. It's usually induced by some hot chick sitting next to you.
Nick got a public display of erection when Kayla sat next to him in class.

public display of agression 

Anything from glareing at someone across the room, to straight up mangling their ass so severely that the forensics team needs dental records to identify the victim. Abbreviated into PDA, and very oftn confused with a public display of affection.
2 kids are sitting in the corner at a school dance:
Kid 1: *rests head on other kid's shoulder*
Kid 2: *Sighs, holds other kid's hand*
Chaperone: OY! YOU TWO! PDA! PUBLIC DISPLAY OF AFFECTION!
Kiid 1: Shut up, SIR, or I'll show you some real PDA!
Chaperone: No public displays of affection, or you both get kicked out, you hear?
Kid 2: You know mister, I think you ought to be more worried about public display of agression...

Public Display of Engineering 

Like the universally despised PDA (Public Display of Affection) the PDE, or Public Display of Engineering involves two or more engineers engaged in a deeply technical, often hotly and loudly debated, all-encompasing discussion that while titillating and intensely enjoyable for those involved, is utterly cringe-worthy to behold.
Ugh, the Public Display of Engineering going on behind us is unbearable... Get a conference room, you two!

public displays of affection

Romantic body language and/or
passionate physical interaction between lovers in full public view. When over-used or too graphic, can be indicative of an insecure couple in an unstable relationship. PDA exhibitionism is used by many couples to prove their love to onlookers, and to elicit envy.
"Look at those two douchebags and their tacky public displays of affection, playing tonsil hockey over there like a couple of ferrets in heat. Get a room!