Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
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)

see also:

  automatically generated: 3/12/2018