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Lösung 3.2:2b

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Version vom 10:35, 11. Mär. 2009

The inequality 0RezImz1 is actually several inequalities:

  • 0Rez1,
  • 0Imz1,
  • RezImz.

The first two inequalities in this list define the unit square in the complex number plane.

The last inequality says that the real part of z should be less than or equal to the imaginary part of z, i.e. z should lie to the left of the line y=x if x=Rez and y=Imz.

All together, the inequalities define the region which the unit square and the half-plane have in common: a triangle with corner points at 0, i and 1+i.

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_3.2:2b“