Better complex multiplication

cie shared this idea 11 years ago
Answered

Hi,


I had an idea how to make complex multiplication more exact, by using different operators in definitions:

If we multiply points (eg. C = A B), the definition should turn into, for example, A ∙ B , and if we multiply complex numbers, the definition could be A ⊗ B (this character was used for complex multipication in an earlier pre-release). In this case, changing the appearance wouldn't cause the result to change. (We could even illustrate, for example, how complex multiplication affects the polar coordinates of points.)


To be even more consistent, you could change (0,0)+1 to be (1,0) instead of (1,1). Sum[{(0,0),1}] gives (1,0).


Best,

Bernát

Comments (3)

photo
1

:question: :question: :question:

photo
1

Sorry for not having explained the problem. :flushed:

Currently, complex numbers are points, but their coordinates are set to be displayed in complex number format. The meaning of multiplication also depends on the display style. This leads to weird consequences, see http://www.geogebra.org/for...

photo
1

Hi


Do not you think it would be easier to add a new item in the Option menu which turn all point coordinates into complex form by default ?


Laurent

© 2020 International GeoGebra Institute