("True") complex curves-Part 2: polar coordinates examples
Ғылым және технология
Complex valued functions w=f(z) represent 2D manifolds, ie surfaces, in 4D space defined by (x,y,u,v), where z=x+iy and w=u+iv. These surfaces can be described by 3D parametric curve families, which in turn can be rendered in 3D space, where they also generate a "curve surface".
Besides parametric curves in cartesian coordinates (x=cst and y=cst) discussed in the previous video, here you'll find a description of parameter curves in polar coordinates : z=Z e^(iζ) and w=W e^(iω).
website:
www.wugi.be/qbComplex.html
playlist:
• wugi's Visualization o...
channel:
/ @wugionyoutube
Desmos 3D example:
www.desmos.com/3d/yauxpxnkpl
Пікірлер: 2
why is the music off of a horror movie 😭
@wugionyoutube
Ай бұрын
all is relative. Eurovision is pure horror to me :o)