Arg (mathematics) | Wikipedia audio article
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- Опубліковано 20 жов 2024
- This is an audio version of the Wikipedia Article:
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00:00:07 1 Definition
00:00:14 2 Principal value
00:00:22 2.1 Notation
00:00:29 3 Computing from the real and imaginary part
00:01:07 4 Identities
00:01:22 4.1 Example
00:01:26 4.2 Using the complex logarithm
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SUMMARY
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In mathematics, the argument is a multi-valued function operating on the nonzero complex numbers. With complex number z visualized as a point in the complex plane, the argument of z is the angle between the positive real axis and the line joining the point to the origin, shown as φ in figure 1 and denoted arg z. To define a single-valued function, the principal value of the argument (sometimes denoted Arg z) is used. It is chosen to be the unique value of the argument that lies within the interval (-π, π].