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new and improved joker product 

A female celebrity with a huge grotesque grin. Coined by radio DJ's Don and Mike to describe Cameron Diaz.
A reference to the poisoned products that The Joker unleashed on Gotham City in the movie "Batman" which killed their victims and left them with horrific grins on their faces.

Improper fraction 

When a girl's breasts are bigger than her bum, she is susceptible to the insult of being an improper fraction.
Hey, see Veronica over there? She's a real improper fraction.
Improper fraction by RoyceTarantino December 19, 2019

improper root 

A maths-based joke that refers to working towards, but not completely achieving, getting a root. It is essentially a failed attempt to tune or woo a female.
1. "Nah look... I didn't actually root her. It was more of an improper root."

"So nothing happened then."

"Uh... nah, we just chatted."
2. "Old mate Will got an improper root last night."
improper root by YaBoiMattyMC October 7, 2017

improper fraction 

A term used to describe the figure of an individual, typically a woman's, in which the torso is larger than the legs. Often used to describe how a person looks while wearing skinny jeans or leggings; popularized primarily on TikTok in 2022.
Commenter: I need to get rid of all my skinny jeans... they make me look like an improper fraction.
improper fraction by charmtapioca February 13, 2023

New and Improved 

An american adverising term invented some time dring the course of television history.

Now widely regarded with contempt for the utterly intelligence insulting nonsensical term it is.
"New and improved Whammo juice!!! A refreshing carboanted drink that doubles as an industrial cleaning agent!!!"

"Wait... how can it be new AND improved? You can't improve on something new, since to improve something implies revising something exisiting..."

Improperganda 

Willfully misrepresenting information for political gain.
Fox News Channel engaged in improperganda when it labeled Mark Foley as "(D-FL)" during its newscast covering the scandal; he's a Republican, not a Democrat!
Improperganda by Vlad the Impaler October 4, 2006