Someone mentioned broken symmetry. This is not quite as esoteric as it sounds. For instance, a coin is symmetric. When a coin is spinning (i.e. being randomized), it has more symmetry than when it lands on one side or the other. The latter state is a broken symmetry. So a string of coin tosses is a randomized string, each element in the string represents say, the ring \( \mathbb Z_2 \) under some action. When the coin is spinning, the sides are in a random 'superposition' of probabilities, each side has exactly 0.5 probability of showing (if the coin is fair) when the symmetry 'breaks'. A string of results is represented by regular language as (0,1)*, a concise way of writing down a string with each digit having equal probability of being 0 or 1, a randomly 'generated' string.