(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.
A successful return to sports after ACL surgery is your number one goal. There are many variables that go into determining when you should try to return to sports after ACL surgery. The risks of returning to the playing field too early after ACL surgery include suffering a re-tear of your new ACL. A successful return to sports after ACL surgery requires a team approach. It involves you, your surgeon, your athletic trainer and your physical therapist. We have very strict criteria for when an athlete can return to sports after ACL surgery. If you attempt to return to sports too soon you have a very significant risk of tearing your new ACL. Related reading â¦ Physical Therapy and ACL Injuries; Can I return to sports after ACL surgery? Risks of reinjury after ACL surgery