complex coordinate plane

[/ˈkɑːmplɛks koʊˈɔːrdənət pleɪn/]
nounpl: complex coordinate planes
plano de coordenadas complexas
1. A two-dimensional coordinate system in which each point represents a complex number, with the horizontal axis (real axis) representing the real part and the vertical axis (imaginary axis) representing the imaginary part
The complex coordinate plane allows us to visualize complex numbers as points or vectors in two dimensions.
O plano de coordenadas complexas nos permite visualizar números complexos como pontos ou vetores em duas dimensões.
2. Also known as the Argand diagram, it is fundamental to complex analysis and allows geometric interpretation of complex operations
In the complex coordinate plane, multiplication by i represents a 90-degree counterclockwise rotation.
No plano de coordenadas complexas, a multiplicação por i representa uma rotação de 90 graus no sentido anti-horário.
This is primarily a mathematical and scientific term used universally in mathematics education. In Brazil, it appears in engineering and mathematics university curricula. The concept is named after Jean-Robert Argand and Carl Friedrich Gauss, reflecting its importance in European mathematical development. The term is used identically in both Brazilian and European academic contexts.
Synonyms / Sinônimos
Argand diagramcomplex planeGaussian planez-plane

Regional Variations

General Brazilian
plano de coordenadas complexas
Standard term used in mathematics textbooks and education
Portugal
plano complexo
Often shortened to 'plano complexo' in Portuguese mathematics
Academic English
complex plane
Shortened form commonly used in mathematical literature

Related Words

complex numberreal axisimaginary axismodulusargumentpolar form

Related Idioms & Phrases

navigate the complex plane
plot a point in the complex coordinate system
map onto the Argand diagram
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