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This is probably a really newbie question and I apologise for it.

So a continuous function is one that is differentiable with respect to its input parameters. What happens when the input parameters can only take discrete values? So, I guess the function can, of course, not be continuous everywhere.

However, what about the corresponding function values at those discrete points? I am guessing that the function cannot be continuous for those inputs as well because of the discreteness of the input variables but am able to convince myself.

Could someone be kind enough to shed some light on this?

Thanks,

Luca

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# A very basic question about continuous function

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