Nicely done. I think you'd get a bit of a speed premium by keeping the complex numbers as a & b (a = real, b = imaj). I believe the complex functions are a bit slow in python. For example you could do a*a + b*b >4 (instead of the abs() function avoiding a sqrt inside the abs func and you also avoid the **2 for squared. Indeed..z= z**2 becomes...a(new)=a*a-b*b .,..b(new)=-2ab etc
glad you liked the video! I just thought it would be useful to show for one larger number that the formula is indeed satisfied. There is no particular reason why it's in that order.
damn, only 477 views?? had me captivated the whole way through
glad you enjoyed it!
Love the animation and the video makes it so easy to understand the concept underneath!
glad you liked it!
Nicely done. I think you'd get a bit of a speed premium by keeping the complex numbers as a & b (a = real, b = imaj). I believe the complex functions are a bit slow in python. For example you could do a*a + b*b >4 (instead of the abs() function avoiding a sqrt inside the abs func and you also avoid the **2 for squared. Indeed..z= z**2 becomes...a(new)=a*a-b*b .,..b(new)=-2ab etc
Dang. Just dang. Really cool!
What is the purpose of the visual proof at 1:15? And why is it in this particular order?
Great video overall, thank you for the work!
glad you liked the video! I just thought it would be useful to show for one larger number that the formula is indeed satisfied. There is no particular reason why it's in that order.
@@AbideByReason oki then:3