Category Archives: Matrix representation

Cauchy-Riemann equations for the complex plane and for 3D complex numbers.

 

In itself the name of ‘Cauchy-Riemann equations’ is a terrible way of naming these equations because it says nothing about why they are important.

It would be better to name the stuff involved like ‘Chain rule equations for partial derivatives’ because if that would be the case you would understand why these equations are worth your precious time anyway…

This update is 8 pictures of size 550 by 550 pixels or about 5 pages of A4 size if crafted in the A4 size format.
Now why are CR equations important?
Very simple: You can find the derivative of a function just like on the real number system or in the complex plane. That is why CR equations are the basic food for understanding higher dimensional complex number systems…

Enough of the bla bla, here are the 8 pictures:

 

0004=12Dec2015=CR_equations01

 

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This stuff is basic stuff so it should be hanging out on this new website.

Till update my dear reader.

Eight pages on 6D numbers (containing 3D and 2D complex numbers).

The day before yesterday I finished an 8 page long update on six dimensional complex numbers from the viewpoint of inclusion and extension.

So basically I show that the complex plane and the 3D complex numbers are included in the 6D space while the other way around you can make a 6D space starting with the 2D and 3D complex spaces.
Link:
Inclusion and extension of complex spaces
http://kinkytshirts.nl/rootdirectory/just_some_math/3d_complex_stuff03.htm#06Dec2015

0002=02Dec2015=teaser_6D_complex_numbers

Well well, I still have a long learning curve to do on this new website because you can also make pictures shown at their real size…

Ok, now the previous website has gotten so much attention it would be time to post a bit more stuff in here. After all after just a few weeks and almost no content at all weirdly enough it already ranks relavtively high in the search engine stuff.

Another problem to be solved is that the comment section does not work and even the categories are disfunctional… Very likely this wordpress theme is developed by somebody that has no math insight at all. Why can I make categories while they do not work???
Beat’s me. Anyway, till updates.