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Compulsive decluttering is the act of throwing items, or clutter, away, or getting rid of them in an attempt to "clean up" what one with the disorder may think is cluttered. Even though it appears to be the polar opposite of compulsive hoarding, the two are related because they both fall under the umbrella of OCD in different ways.
The free monoid on a set X, is the monoid of all finite strings using X as alphabet, with operation concatenation of strings. The identity is the empty string. In essence, the free monoid is simply the set of all words, with no equivalence relations imposed. This example is developed further in the article on the Kleene star.
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