The conversation between human and AI assistant.
How can I define bijection between (0,1) and (0,1]?
Can you give me an example of a function that is not a bijection?
Sure! Consider the function f(x) = x^2 from the real numbers to the non-negative real numbers. This function is not a bijection because, for example, both 2 and -2 map to the same element (4) in the codomain.