Prove or give a counter example to disprove:   If f= O(g), then f^2 = O(g^2) (Use definition of O) Let min(f,g) denote the point-wise minimum of the values of the function f and g. min(f,g) = Θ(f+g) (use definition of theta)

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Prove or give a counter example to disprove:

 

  1. If f= O(g), then f^2 = O(g^2) (Use definition of O)
  2. Let min(f,g) denote the point-wise minimum of the values of the function f and g. min(f,g) = Θ(f+g) (use definition of theta)
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