Web5 apr. 2024 · f(n)=4n 2 +5n 2 ∗log(n) , g(n) = n^3g(n)=n 3 Now to show f(n)=O(g(n))f(n)=O(g(n)) when number of operation increases i.e., n\rightarrow \inftyn→∞ then \frac{f(n)}{g(n)}=\frac{4n^3+5n^2.log\ n}{n^3}=4+… a particular algorithm increases in time as the number of operations n increases. Web17 apr. 2024 · In Preview Activity 2.2.1, we introduced the concept of logically equivalent expressions and the notation X ≡ Y to indicate that statements X and Y are logically equivalent. The following theorem gives two important logical equivalencies. They are sometimes referred to as De Morgan’s Laws.
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