- #1
SweatingBear
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Here's a fun problem proof I came across. Show that
\(\displaystyle \left| \frac { z- w }{1 - \overline{z}w} \right| < 1\)
given \(\displaystyle |z|<1\), \(\displaystyle |w|<1\). I attempted writing z and w in rectangular coordinates (a+bi) but to no avail. Any suggestions, forum?
\(\displaystyle \left| \frac { z- w }{1 - \overline{z}w} \right| < 1\)
given \(\displaystyle |z|<1\), \(\displaystyle |w|<1\). I attempted writing z and w in rectangular coordinates (a+bi) but to no avail. Any suggestions, forum?
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