(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.
Swelling is also a normal part of the healing process. Itâs likely that youâll experience some swelling for two to three weeks following surgery. You can reduce swelling by doing your post-operative exercises and by elevating your leg on a pillow in bed for one to two hours each afternoon.According to the Academy of Orthopedic Surgeons, swelling can last for three to six months after surgery, so itâs a good idea to invest in an ice pack.verview. Postoperative pain, swelling, and bruising are a normal part of the recovery process following knee surgery. However, there are ways to manage the pain and ease your recovery. Keep reading to get tips on dealing with these common side effects of surgery.