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Complex Plane

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In mathematics, the complex plane is the plane formed by the complex numbers, equipped with a Cartesian coordinate system in which the horizontal real axis represents the real numbers and the vertical imaginary axis represents the imaginary numbers. The plane gives complex numbers a geometric interpretation: under addition they behave like vectors, while under multiplication the modulus of the product is the product of the two moduli and the argument of the product is the sum of the two arguments, so multiplying by a complex number of modulus one produces a rotation. The complex plane is also known as the Argand plane or the Gauss plane.

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Source Wolfram MathWorld: Complex Plane

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1. Complex Plane (Wikipedia)
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Quote, Lead section
In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal x-axis, called the real axis, is formed by the real numbers, and the vertical y-axis, called the imaginary axis, is formed by the imaginary numbers.
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Wolfram MathWorld: Complex Plane
Wolfram MathWorldIn Branch: Complex Analysis, Subject classifications
Quote, In Branch: Complex Analysis, Subject classifications
Calculus and Analysis Complex Analysis
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