(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.
The water will support your body weight, so your back won't be carrying as much weight as you work out. After the fusion heals and after you've gotten permission from your surgeon, you should be able to resume your typical activities. So yes, you can still be a very active person after spinal fusion surgery! You should know, though, that your spine may feel stiffer after your surgery and even after your fusion heals. Depending on your prior flexibility, you may need to adjust your expectations.