perplexus.info :: Just Math : Extremum Expressions

Extremum Expressions (Posted on 2012-10-15)

Express each of max(x,y) and min(x,y) in terms of abs function.

No Solution Yet Submitted by K Sengupta

Rating: 3.5000 (2 votes)

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This should do it (spoiler)

| Comment 3 of 4 |

Start at the midpoint, and then either add or subtract half the absolute difference

min(x,y) = (x+y)/2 - abs(x-y)/2

max(x,y) = (x+y)/2 + abs(x-y)/2

Simplifying,

min(x,y) = (x+y - abs(x-y))/2

max(x,y) = (x+y + abs(x-y))/2

Posted by Steve Herman on 2012-10-15 14:12:46

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