Question: This is a discrete mathematics problem. I'm supposed to define a recursive function in the form of an equation, not a code for a language.

This is a discrete mathematics problem. I'm supposed to define a recursive function in the form of an equation, not a code for a language. any help would be great. Thanks!

Extra Problem (4 pts.): Define recursively the function ONE defined on binary strings, that for a given string w, ONE(W) is equal to the number of occurrences of the character 1 in w. For instance ONE(10010) = 2, ONE(00000) = 0, ONE(11111) = 5

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