complex z-plane
[ˈkɒmplɛks ˈzɛd pleɪn]
nounpl: complex z-planes
plano z complexo
1. A two-dimensional coordinate system used in mathematics and engineering where complex numbers are represented geometrically, with the horizontal axis representing the real part and the vertical axis representing the imaginary part of complex numbers.
In the complex z-plane, the point (3, 4) represents the complex number 3 + 4i.
No plano z complexo, o ponto (3, 4) representa o número complexo 3 + 4i.
2. A mathematical plane used for analyzing and visualizing the behavior of complex functions, poles, zeros, and stability in control systems and signal processing.
Engineers plot the poles of a transfer function on the complex z-plane to determine system stability.
Engenheiros traçam os pólos de uma função de transferência no plano z complexo para determinar a estabilidade do sistema.
This is specialized mathematical and engineering terminology used predominantly in academic and professional settings. It is part of standard curriculum in electrical engineering, control systems, and applied mathematics in both Brazil and the United States. The term reflects the importance of complex analysis in modern engineering applications.
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