Images: Branches of an implicitly defined biquadratic curve found using complex functions: Cartesian oval

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[size=85] Example 2 from the applet list is notable for the fact that the functions f3(x) and f4(x) are not defined on the real domain. The Figures a-d show the complex functions g1(z)-g4(z). Note that the complex functions g3(z) and g4(z) take complex values ​​on the entire real axis.[/size]
Example 2 from the applet list is notable for the fact that the functions f3(x) and f4(x) are not defined on the real domain. The Figures a-d show the complex functions g1(z)-g4(z). Note that the complex functions g3(z) and g4(z) take complex values ​​on the entire real axis.