Argconjugatez2iiz
Argconjugatez2iiz is a speculative mathematical operator described in informal discussions and some teaching materials as a composite operation that blends complex conjugation, the complex argument, and a scaling by 2i. It is not part of standard complex analysis, but is used in examples to illustrate how conjugation and angle information can interact in the complex plane.
Definition and notation: A common illustrative definition treats Argconjugatez2iiz as a map from nonzero complex numbers
Properties: The operator is nonlinear and not analytic, since it involves the modulus- or angle-based Arg function.
Example: For z = 1 + i, conj(z) = 1 − i and Arg(conj(z)) = −π/4. Then w = 2i(−π/4)(1 + i) = π/2
Notes and see also: Because Argconjugatez2iiz is not a standard operator, definitions vary and are used mainly