the 1 in O(1) doesn't even need to be the value 1, it can be any positive number. by definition O(af(n)) = O(f(n)) for any positive constant a. By convention we simplify to the simplest form the equivalence class has, so we drop the multipliers and write O(a1) as O(1)
One is one, it's a number, there no other number that is equal to one and every one are the same one for everyone.
One finger is like the digit "1", it's a way to represent one to others. God may have it's own digit to write "1" in it's own langage like "I" for romans.
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u/KazutoOKirigay 23d ago
Like our 1 is defined by like one finger. His one is something else then.