(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.
Back pain is extremely common, and surgery often fails to relieve it. Find out why your back hurts and whether surgery might help. Back surgery can help relieve some causes of back pain, but it's rarely necessary. Most back pain resolves on its own within two months.Low back pain is one of the most common ailments seen by family doctors.ack pain is extremely common, and surgery often fails to relieve it. Find out why your back hurts and whether surgery might help. Back surgery can help relieve some causes of back pain, but it's rarely necessary. Most back pain resolves on its own within two months.