Wow.....an excellent use of manim. Keep going guyss.

@TheRookieNerds

4 жыл бұрын

Glad you liked it :)

Wonderful ! I think we can get different frequencies of the sinosoid depending on how fast we move the origin towards right (keeping the rate with which theta changes to be constant). The faster it moves the sine wave gets more stretched out or a lower frequency and vice versa.

Brilliant explanation...🔥🔥🔥

Expert explanation 💓

Loved it, man....!

beautiful

Very nice.

This is very nice. :) The only thing is that I'm not a big fan of the flashing. Sharing with my students.

I didn't bel. in Your Irrelev. E Major Melody?!

In 0:16 you depict the complex plane where i (=sqrg(-1)) is depicted equal in length to the real unit 1. Can you elaborate on that? Is sqrt(-1)=1?

@TheRookieNerds

Ай бұрын

Since I've Iabelled the axis as imaginary, I have not added "i". So It's an imaginary unit.

@pelasgeuspelasgeus4634

Ай бұрын

​​@@TheRookieNerdsReally now? Is that the best answer you can think?

Can someone help me make sure I understand correctly? 1. The sum of Z1 and Z2 give you a resultant vector Z3 (yellow line) 2. As theta decreases for Z1 and increases for Z2, the resultant vector will always remain parallel to the imaginary axis and over time draw out the plot for Sin(theta). Also, if e^iθ = cos(θ) + isin(θ), I assume the cos(θ) represents the real axis and the isin(θ) represents the imaginary?

@TheRookieNerds

4 жыл бұрын

Yes you are right. Infact, the initial card showing equation must contain "i" on the RHS.