For the educated people among us. Complex numbers or imaginairy numbers are just plain BS in the real world but with this math structure we humans are able to solve many complicated problems. I feel circulation theories are comparable to that.
Wouter
There are actual real world physical phenomena described well by complex numbers such as electromagnetic wave theory, where electrical and magnetic sine wave constituents are said to be operating in planes 90* apart, thus creating a 'Z' axis. The X, Y and Z axis relate exactly as the plane of the real numbers intersects the imaginary.
Agree with you on the circulation theory, though. Many people completely misapprehend the intent of this theory thinking that it supposes the fluid is actually flowing backwards on the underside(??!!) instead of simply returning to the same energy state as before negotiating the foil.
Jimbo