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)
On this page of the site you can watch the video online visualizing negative base exponential functions with the complex plane using three dimensions with a duration of hours minute second in good quality, which was uploaded by the user Onceknown 29 June 2024, share the link with friends and acquaintances, this video has already been watched 657 times on youtube and it was liked by 21 viewers. Enjoy your viewing!
