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- Complex_plane abstract "In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the orthogonal imaginary axis. It can be thought of as a modified Cartesian plane, with the real part of a complex number represented by a displacement along the x-axis, and the imaginary part by a displacement along the y-axis.The concept of the complex plane allows a geometric interpretation of complex numbers. Under addition, they add like vectors. The multiplication of two complex numbers can be expressed most easily in polar coordinates – the magnitude or modulus of the product is the product of the two absolute values, or moduli, and the angle or argument of the product is the sum of the two angles, or arguments. In particular, multiplication by a complex number of modulus 1 acts as a rotation.The complex plane is sometimes called the Argand plane because it is used in Argand diagrams. These are named after Jean-Robert Argand (1768–1822), although they were first described by Norwegian-Danish land surveyor and mathematician Caspar Wessel (1745–1818). Argand diagrams are frequently used to plot the positions of the poles and zeroes of a function in the complex plane.".
- Complex_plane thumbnail Complex_conjugate_picture.svg?width=300.
- Complex_plane wikiPageID "217628".
- Complex_plane wikiPageRevisionID "592842273".
- Complex_plane hasPhotoCollection Complex_plane.
- Complex_plane title "Argand Diagram".
- Complex_plane urlname "ArgandDiagram".
- Complex_plane subject Category:Complex_analysis.
- Complex_plane subject Category:Complex_numbers.
- Complex_plane subject Category:Control_theory.
- Complex_plane type Abstraction100002137.
- Complex_plane type ComplexNumber113729428.
- Complex_plane type ComplexNumbers.
- Complex_plane type DefiniteQuantity113576101.
- Complex_plane type Measure100033615.
- Complex_plane type Number113582013.
- Complex_plane comment "In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the orthogonal imaginary axis. It can be thought of as a modified Cartesian plane, with the real part of a complex number represented by a displacement along the x-axis, and the imaginary part by a displacement along the y-axis.The concept of the complex plane allows a geometric interpretation of complex numbers. Under addition, they add like vectors.".
- Complex_plane label "Complex plane".
- Complex_plane label "Complexe vlak".
- Complex_plane label "Gaußsche Zahlenebene".
- Complex_plane label "Piano complesso".
- Complex_plane label "Plan complexe".
- Complex_plane label "Plano complejo".
- Complex_plane label "Plano complexo".
- Complex_plane label "Płaszczyzna zespolona".
- Complex_plane label "Комплексная плоскость".
- Complex_plane label "مستوى عقدي".
- Complex_plane label "复平面".
- Complex_plane label "複素平面".
- Complex_plane sameAs Komplexní_rovina.
- Complex_plane sameAs Gaußsche_Zahlenebene.
- Complex_plane sameAs Plano_complejo.
- Complex_plane sameAs Plano_konplexu.
- Complex_plane sameAs Plan_complexe.
- Complex_plane sameAs Piano_complesso.
- Complex_plane sameAs 複素平面.
- Complex_plane sameAs 복소평면.
- Complex_plane sameAs Complexe_vlak.
- Complex_plane sameAs Płaszczyzna_zespolona.
- Complex_plane sameAs Plano_complexo.
- Complex_plane sameAs m.01fw64.
- Complex_plane sameAs Q328998.
- Complex_plane sameAs Q328998.
- Complex_plane sameAs Complex_plane.
- Complex_plane wasDerivedFrom Complex_plane?oldid=592842273.
- Complex_plane depiction Complex_conjugate_picture.svg.
- Complex_plane isPrimaryTopicOf Complex_plane.