(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.
Your brain directs and controls your eyes and eye muscle surgery is not brain surgery. Cutting and moving the eye muscles will not automatically change the brain or the signals it sends to the eye muscles. This is why patients' eyes often go back or deviate again after surgery. Frequently, then, the surgeon recommends a repeat surgery. It is important to understand that while eye muscle surgery can improve cosmetic appearance, it does not necessarily improve eyesight or vision. Numerous peer-reviewed scientific studies report success rates for eye muscle surgeries ranging from 30% to 80%.