The opposite would be (guess) continuous by chuncks.
Take a pen. Can you draw a single line from left to right that follow your function?
* Yes, it’s uniformly continuous — cos(x)
* No, It’s not uniformly continuous — 1/x
* If you can’t draw a line for part of the region, then it’s not even continuous (don’t have an example for that one)
PS: I tried to be as ELI5 as possible, but I might be wrong given it’s not my native language, and especially for mathematics, word carry precise meaning.
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