The conversation between human and AI assistant.
How can I define bijection between (0,1) and (0,1]?
How can we prove that a given function is a bijection?
One way to prove that a function is a bijection is to show that it is both injective (meaning that no two elements in the first set map to the same element in the second set) and surjective (meaning that every element in the second set is being used). Another way is to show that the function has an inverse function that is also a bijection.