About: Argument (complex analysis)

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In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and the line joining the origin and z, represented as a point in the complex plane, shown as in Figure 1. It is a multi-valued function operating on the nonzero complex numbers.To define a single-valued function, the principal value of the argument (sometimes denoted Arg z) is used. It is often chosen to be the unique value of the argument that lies within the interval (−π, π].

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rdf:type	disease
rdfs:label	Argument (complex analysis) (en)
rdfs:comment	In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and the line joining the origin and z, represented as a point in the complex plane, shown as in Figure 1. It is a multi-valued function operating on the nonzero complex numbers.To define a single-valued function, the principal value of the argument (sometimes denoted Arg z) is used. It is often chosen to be the unique value of the argument that lies within the interval (−π, π]. (en)
sameAs	Argument (complex analysis) Argument (complex analysis)
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Subject	Complex analysis Signal processing Trigonometry
Link from a Wikipage to an external page	https://www.encyclopediaofmath.org/index.php/Argument
thumbnail	wiki-commons:Special:FilePath/Complex_number_illustration_modarg.svg?width=300
foaf:depiction
gold:hypernym	Function
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Argument_(complex_analysis)?oldid=1057397651&ns=0
Wikipage page ID	14699765 (xsd:integer)
page length (characters) of wiki page	12794 (xsd:nonNegativeInteger)
Wikipage revision ID	1057397651 (xsd:integer)
Link from a Wikipage to another Wikipage	Floating-point arithmetic Magnitude (mathematics) Nth root Well-defined expression Absolute value Angle Atan2 Radian Three-dimensional graph Complex analysis Signal processing Trigonometry Piecewise Circle group Degree (angle) Phase (waves) Principal value Square root Complex analysis Complex logarithm Complex number Complex plane Computer algebra Encyclopedia of Mathematics Function (mathematics) Indeterminate form Periodic function HarperCollins Interval (mathematics) Arccos Cis (mathematics) Mathematics Multivalued function Polar coordinate system Real number Sine and cosine Tangent half-angle formula
has abstract	In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and the line joining the origin and z, represented as a point in the complex plane, shown as in Figure 1. It is a multi-valued function operating on the nonzero complex numbers.To define a single-valued function, the principal value of the argument (sometimes denoted Arg z) is used. It is often chosen to be the unique value of the argument that lies within the interval (−π, π]. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Argument_(complex_analysis)
is Wikipage redirect of	Argument of a complex number Arg (mathematics) Complex arg Complex argument
is Link from a Wikipage to another Wikipage of	Fourier transform Logarithm ARG Aharonov–Bohm effect Airy function Angle Argument (disambiguation) Argument of a complex number Argument principle Atan2 Averaged Lagrangian Bode plot C mathematical functions Fresnel equations Fresnel rhomb Directed infinity Domain coloring Kummer sum Circular mean Cube root List of logarithmic identities List of mathematical abbreviations Closed and exact differential forms Closure phase Complex analysis

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