(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.
Before the surgery, most people are either in pain or have weakness in their shoulder. Your surgery should alleviate that, although it's not an absolute. During the surgery, you might receive a nerve block anesthesia. This will numb your shoulder and arm and can, in some patients, help better ensure a positive outcome. Most people are in pain after surgery for up to two weeks. You likely will receive a prescription for pain narcotics after surgery. One of the biggest concerns with a rotator cuff repair is that the tendon will retear. Small twinges during physical therapy are common and usually don't mean the repair has failed. It is not easy to tell if the rotator cuff tendon repair has failed or not.