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In asymptotic notation, we use three symbols, O (omicron), Ohm (omega), and Theta(theta). O is used when a function may give an upper bound on another function of interest; Ohm is used when we find a lower bound. When one function can provide an order-of-magnitude boundary on both sides of another function, we denote it as Theta. Here are the mathematical definitions of O, Ohm, and Theta: O(g(n)) {f(n): exist c, n_0 > 0: 0 lessthanorequalto f(n) lessthanorequalto cg(n) Forall n greaterthanorequalto n_0} Ohm(g(n)) {f(n): exist c, n_0 > 0: 0 lessthanorequalto cg(n) lessthanorequalto f(n) Forall n greaterthanorequalto n_0} Theta (g(n)) {f(n): exist c_1, c_2, n_0 > 0: 0 lessthanorequalto c_1g(n) lessthanorequalto f(n) lessthanorequalto c_2g(n) Forall n greaterthanorequalto n_0} Recall that the delta-equality symbol stands for definition, as in "is defined to be... a. State in words (or a mix of plain language words with at most a few symbols) an easy-to- read translation of what the above three definitions say: i. Big-Oh O(g(n)) ii. Big-Omega Ohm(g(n)) iii. Big-Theta Theta(g(n))