Aarhus (/ ˈ ɔːr h uː s /, US also / ˈ ɑːr-/, Danish: [ˈɒːˌhuˀs] (); officially spelled Århus from 1948 until 1 January 2011) is the second-largest city in Denmark and the seat of Aarhus municipality.
The empty string should not be confused with the empty language ∅, which is a formal language (i.e. a set of strings) that contains no strings, not even the empty string. The empty string has several properties: |ε| = 0. Its string length is zero. ε ⋅ s = s ⋅ ε = s. The empty string is the identity element of the concatenation operation
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