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Find the smallest number k such that s(n) = O(n^k). (Big Oh)   s(n) = sqrt(n^2-1)

suppose there are 12 seniors and 10 juniors in a schools honor society. ten honor students must be chosen to attend a conference. the conference organizers require that a school send more seniros...

Assume you have a predicate P(n). You know that P(8) is true and that P(k) → P(k + 5). For what values of n do you know that P(n) is true? Write your answer using mod arithmetic

Let the sets be the following. A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} B = {a, b, c, Ø, {1}, {2}} C = {a, b, {c}}   Show a number or a simple expression that defines a number...

Please Show the solution the premise and the laws that you used i can't get it thanks number two is the most i need to have an answer . 1.)      1. (M v N) → O  ...

(a) Please count how many functions f : D → {0, 1} can be defined if the domain D is a finite set with the cardinality |D| = n. (b) Can you find a bijection between the set of all such...