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Mathematics-Online problems:

Interactive Problem 238: Tests for Homogeneity and Additivity


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

#./interaufg238_en.tex#Test, if the maps


a) $ f(z)=(2+{\rm {i}})z$      b) $ f(z)={\rm {Im}} ({\rm {i}}z)$      c) $ f(z)=\bar{z}$      d) $ f(z)=\max\{{\rm {Re}}(z), {\rm {Im}}(z)\}$

of $ \mathbb{C}$ onto itself are homogeneous respectively additive.


Antwort:
  homogeneous additive
a) n/a , yes , no n/a , yes , no
b) n/a , yes , no n/a , yes , no
c) n/a , yes , no n/a , yes , no
d) n/a , yes , no n/a , yes , no

   

(Authors: Höllig/Höfert)

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  automatically generated: 3/12/2018