x^(1/n) in "complex" form

This uses logic from some of the older "activities" I have published. Essentially, u=y/x and (u+i*f(u)) is a complex function equal to f(x) (for f(u)=u^n, the graph becomes exactly x^n). If I have (u+i*f(u))*y^(1/n-1), then I have a specific surface that is built, and relates directly to, from x^n. If I replace the "y" with another "u" then the function becomes the second curve in the surface. This process could make complex functions easier to not only manipulate and understand, but also directly relate them to the real numbers.

 

KwolZ

 
Tipo de recurso
Actividad
Etiquetas
addition  algebra  area  calculus  class  complex-numbers  constructions  correlation  equation  practice 
Grupo destino (edad)
0 – 19+
Idioma
English
 
 
 
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