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

Question

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

jamesj · Answer

Hm.  |x| = max(x, -x), that one is straightforward.

jamesj · Answer

The other one is more subtle.  Do you want it, or do you want a hint?

anonymous · Answer

oh no :)
a.abs(x) = max(x, −x)
b.max(x, y) = ½(x + y + abs(x − y))

jamesj · Answer

right

anonymous · Answer

thanks lol