visualizing negative base exponential functions with the complex plane using three dimensions
I yapped sorta. One thing I caught while re-watching:
In the table towards the end, I put sqrt(i) as +-. This should also be the same for just i too, though.
If I got anything wrong let me know.
I was wondering what negative base exponential functions looked like. When I learned that the square root of i had a real component, I realized that the function would look like a spiral. I really wanted to see that. This was my result.
I remember learning something in class about how negative base exponential functions didn't exist? Or were not valid?
They are very valid to me. I'm really glad I learned Unity and did a visualization.
The mathematical " i " has quite a complex reputation... (XD). I feel as if it's sometimes ignored... I supposed that makes sense? (not a mathematically 'real' number after all... ) But in some sense I think it deserves some more thought by more people. It's strange yet very effective.
0:00 y = (-1)^x
2:33 y = (-2)^x (Exponential Increase)
4:18 Plus Minus. i is rotated both possible directions.
5:45 Yapping.
6:30 Code Explanation (attempted)
9:54 Math Explanation (Trig Visual)
11:20 Math Explanation (table of y = (-1)^x)
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