I think I'm gonna stop watching movies and tv shows unless they're medical or documentaries about real people and not celebs

The Epstein thing has fkd me up and I don't trust nor want to support any celebrity, whether they're in the files or not. I've never been a celebrity worshiper but now I just want to avoid anything to do with them. Music artists included. Big media. Big anything.

There has always been evil in this world. Now we are seeing it blatantly flaunted in our faces.

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JoyfulSilence · 51-55, M

I mostly watch YouTubes on science, math, and history.

The last one was how to take the derivative of a complex function. Fascinating.

A function that maps the 2 dimensional complex plane into itself cannot be graphed, since you need 4 dimensions. Yet it can be visualized as a transformation (rotation, translation, warping, rescaling, twisting, etc.) of the plane.

Now, suppose you want to know the derivative (instantaneous rate of change) of the function at a point P. Suppose you could draw a very very small grid of perpendicular coordinate lines near a point P, and then see what happens to this tiny grid when you apply the function.

Suppose all that happens is a rotation and rescaling of the grid near P. This also preserves all angles of intersecting lines. Then the derivative exists at P and is equal to the complex number that encodes this rotation and rescaling.

If you multiply a complex number A by a complex number B, it will rotate and rescale the A-vector in the complex plane. The amount of rotation is just the angle between the Y-vector and the real axis (x-axis), and the rescaling factor is just the length of the Y-vector.

Math is so cool.