That’s BS notation. If you want Cartesian, just use 3i+1j, no need for some impossible √-1 that you then redefine some operations for, just so it becomes orthogonal to R.
You might want to look up geometric algebra for a better geometric interpretation of complex numbers than the complex plane with a “real” and “imaginary” axis
That’s BS notation. If you want Cartesian, just use 3i+1j, no need for some impossible √-1 that you then redefine some operations for, just so it becomes orthogonal to R.
The nice thing about 𝑖 = √-̅1̅ is that you don’t need to redefine any operations for it, ℐ𝓂 is “automatically” orthogonal to ℛℯ.
You might want to look up geometric algebra for a better geometric interpretation of complex numbers than the complex plane with a “real” and “imaginary” axis