principal value of the argument of a complex number

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• Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …   Wikipedia

• Principal value — In considering complex multiple valued functions in complex analysis, the principal values of a function are the values along one chosen branch of that function, so it is single valued. Motivation Consider the complex logarithm function log z .… …   Wikipedia

• Complex logarithm — A single branch of the complex logarithm. The hue of the color is used to show the arg (polar coordinate angle) of the complex logarithm. The saturation (intensity) of the color is used to show the modulus of the complex logarithm. The page with… …   Wikipedia

• Argument (complex analysis) — Arg (mathematics) redirects here. For argument of a function, see Argument of a function. Figure 1. This Argand diagram represents the complex numbers lying on a plane. For each point on the plane, arg is the function which returns the angle φ.… …   Wikipedia

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• Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics …   Wikipedia

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