Question: Let L be any language. Define even ( w ) as the string obtained by extracting from w the letters in even - numbered positions;

Let L be any language. Define even (w) as the string obtained by extracting from w the letters in even-numbered positions; that is, if
w=a1a2a3a4.....
then
even (w)=a2a4.....
Corresponding to this, we can define a language
even (L)={even(w):winL}.
Let L be any language. Define even (w) as the string

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