(b) Use either a proof by contraposition or a proof by contradiction to show that if m and n are integers and mn is even, then m is even or n is even. Answer: An odd number is one of the form 2n+1, where n is an integer.We are given two odd numbers, say 2a+1 and 2b+1. Their product is: (2a+1)(2b+1) = 4ab + 2a + 2b + 1 = 2(2ab + a + b) + 1This last expression shows that the product is odd, since it is of the form 2n+1, with n = 2ab + a + b.b) Use either a proof by contraposition or a proof by contradiction to show that if m and n are integers and mn is even, then m is even or n is even. Answer: An odd number is one of the form 2n+1, where n is an integer.
Muscles atrophy after surgery and/or nonuse. Through rehab and strengthening exercises, muscles will typically regain pre surgical strength. In brief: Yes. Muscles atrophy after surgery and/or nonuse. Through rehab and strengthening exercises, muscles will typically regain pre surgical strength.
In the surgery, a lot of muscles and ligaments are pulled and held away from the joint to allow the surgeon access. In this process, these soft tissues are damaged and need to heal after surgery. The patient who has a routine recovery can expect bruising of muscle and inflammation of the tendons at a minimum.