The structure that number 8 points to is the: _______ The…

The structure that number 8 points to is the: _______ The structure that number 9 points to is the: _______ The structure that number 10 points to is the: _______ The structure that number 11 points to is the: _______ The structure that number 12 points to is the: _______ The structure that number 13 points to is the: _______ The structure that number 14 points to is the: _______ The structure that number 15 points to is the: _______

Define the function f: {0, 1}3→{0, 1}3. The output of f is o…

Define the function f: {0, 1}3→{0, 1}3. The output of f is obtained by taking the input string and replacing the first bit by 1, regardless of whether the first bit is a 0 or 1. For example, f(001) = 101 and f(110) = 110.  Under this function, what is the preimage of 111?

Suppose you have two unknown functions r{“version”:”1.1″,”ma…

Suppose you have two unknown functions r{“version”:”1.1″,”math”:”\(r\)”} and s{“version”:”1.1″,”math”:”\(s\)”}, both defined on R+{“version”:”1.1″,”math”:”\(\mathbb{R^+}\)”}.  If r=Θ(n){“version”:”1.1″,”math”:”\(r=\Theta(n)\)”} and s=Θ(n4){“version”:”1.1″,”math”:”\(s=\Theta(n^4)\)”}, what can you say about the asymptotic growth rate of  s ⋅ r 2 {“version”:”1.1″,”math”:”\(s \cdot r^2\)”}?