Complex Numbers with Different Norms

​
norm
1
2
3
4
number of points
3
number of statements
5
show contour lines
try again
Move points to make statements true!
¬-6<Im(B)<-3
True
-3<Im(A)<2
True
Re(C)>Im(C)
True
¬-6<Im(B)<-3
True
3<Im(A)+Re(A)<6
False
This Demonstration deals with complex numbers with different norms. Taxicab geometry norm is included.

Details

The usual norm for complex numbers is the complex modulus
z=
z
z
=
2
Re(z)
+
2
Im(z)
, where
x+iy
=x-iy
is the complex conjugate.

External Links

Complex Number (Wolfram MathWorld)
Logic with Complex Numbers

Permanent Citation

Izidor Hafner
​
​"Complex Numbers with Different Norms"​
​http://demonstrations.wolfram.com/ComplexNumbersWithDifferentNorms/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011