Matt's job got the best of him for a little while today, so, to make himself feel better, he worked through a math problem he found on some website. Isn't it obvious why I love him so? He gave me the puzzle to solve and I was able to work through part one on my own, but after scribbling on scrap paper for at least 45 minutes I decided I was never going to figure out part two. He talked me through the solution step by step while I paced the floor trying to visualize the process. Wheels just a turnin. I would never have solved it on my won. See what you think:
The absolute value of a real number is defined as its numerical value without regard for sign. So, for example abs(2) = abs(-2) = 2.
The maximum of two real numbers is defined as the numerically bigger of the two. For example, max(2,-3) = max(2,2) = 2
Express:
a. abs in terms of max
b. max in terms of abs
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