Letf: AB be a function and A1.A2 CAbe subsets of the domain. Show that fAinA2) fAANAA2) a. b. Can...
Letf: AB be a function and A1.A2 CAbe subsets of the domain. Show that fAinA2) fAANAA2) a. b. Can you find a condition on fx so that in this formula could be replaced byExplain. c. If m,n are integers and n is positive, prove the following identitty: d. Show that log(n!)-O(nlogn) e. An integerm e Z is called a composite number if m is divisible by some other integere d1. For an integer numbers 2 2, show that all of the are composite numbers. Isn! (n1) necessarily composite? Prove or disprove. If Ci-1-南,for all i 2 1, find a simple closed form forZ, f
Letf: AB be a function and A1.A2 CAbe subsets of the domain. Show that fAinA2) fAANAA2) a. b. Can you find a condition on fx so that in this formula could be replaced byExplain. c. If m,n are integers and n is positive, prove the following identitty: d. Show that log(n!)-O(nlogn) e. An integerm e Z is called a composite number if m is divisible by some other integere d1. For an integer numbers 2 2, show that all of the are composite numbers. Isn! (n1) necessarily composite? Prove or disprove. If Ci-1-南,for all i 2 1, find a simple closed form forZ, f