Gaussian plane
[ˈɡaʊsiən pleɪn]
nounpl: Gaussian planes
plano gaussiano
1. A two-dimensional coordinate system used to represent complex numbers, where the horizontal axis represents the real part and the vertical axis represents the imaginary part
In the Gaussian plane, the complex number 3 + 4i is plotted at coordinates (3, 4).
No plano gaussiano, o número complexo 3 + 4i é representado nas coordenadas (3, 4).
2. Also known as the complex plane, it provides a geometric interpretation of complex number operations
The multiplication of two complex numbers can be visualized as a rotation and scaling operation in the Gaussian plane.
A multiplicação de dois números complexos pode ser visualizada como uma operação de rotação e escala no plano gaussiano.
The Gaussian plane is a fundamental concept in mathematics, particularly in complex analysis and engineering. Named after Carl Friedrich Gauss, it is taught in advanced mathematics courses in both Brazilian and North American educational systems. The term is primarily used in academic and technical contexts with no colloquial variations.
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