I made another math post with only differentiating the square function and integrating the identity function like in integrating zdz on the complex plane. This post is much shorter, only 7 images long and one appendix so all in all 8 images.
One of the reasons I decided to write another post on this relative simple stuff is that historically speaking the square was the thing that gave the complex plane. And for some reason professional math people are completely fixated on that when they try for example find 3D complex numbers: It has to be based on some stuff with a square. Just like say the 4D quaternions from Hamilton: Basically it’s all based on the squares of the three imaginary components and an extra rule for multiplying different imaginary units.

Without much ado let me hang in the 8 images:

It is no secret that inside the profession of math at the universities they can only perform integration with a primitive when it comes to the real line and the complex plane. In the last two posts I showed you again and again how to do this on other spaces. Will the professional community ever change ways and include more spaces where you can perform integration ‘Just like on the real line’? No, after all these are university people and as such it is mostly a giant balloon of hot ego air and not much substance when it comes to math.

By accident I came across a work of professor Tom who happily informs his audience of the miracles of the 4D quaternions. You know for me math is a hobby, it’s an important hobby but it’s just a hobby. And because after all the subject is math I take it seriously. But decade in decade out the only thing professional math professors do is fuck around and that’s it.
Here’s the link to the garbage from professor Tom:
Stop 3: Multi-dimensional World
These people just never make any kind of progress, if it’s the year 1990 or the present 2026 it just does not matter. They can’t go beyond the square and also they are very unwilling to go beyond the square.
Let me leave my little rant with that, here’s what missing in literally all texts on quaternions: The square of a quaternion…

Ok that was it for this latest post. Likely the next post is one on magnetism in particular electron pairs in chiral molecules. Thanks for your attention.