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which are curves in Cartesian coordinates as depicted by the equation above. The error is measured in the <math>L^2</math> sense and the minimality of the error refers thereby to [[L2 norm]].
2. The functions <math>\xi(x,y), \eta(x,y)</math> constitute a harmonic pair, i.e. they fulfill [[Cauchy-Riemann
<math>\frac{\partial \xi}{\partial x}=-\frac{\partial \eta}{\partial y}</math> and <math>\frac{\partial \xi}{\partial y}=\frac{\partial \eta}{\partial x}</math>.
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