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Complex logarithm

In mathematics, a complex logarithm is a generalization of the natural logarithm to nonzero complex numbers. The term refers to one of the following, which are strongly related:

Applications, Branches of the complex logarithm & Principal value

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Explore the main themes, entities and connections around Complex logarithm. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Problems with inverting the complex exponential function

Principal value

Branches of the complex logarithm

The complex logarithm as a conformal map

The associated Riemann surface

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Complex logarithm

Nodes71
Edges70
Triples22
Avg. degree1.97
Density0.028169
Components1

How this topic connects Entity context

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Complex logarithm

Top relations

has application · 6
Complex logarithm → Because, In, Log, Namely, One, The
related to Calculating the principal value · 6
Complex logarithm → Arg, For, Its, Log, The, This
related to Constructing branches via integration · 5
Complex logarithm → All, Fortunately, If, In, The
related to Power series for branches · 4
Complex logarithm → After, Because, Like, This
is a · 1
Complex logarithm → generalization of the natural logarithm to nonzero complex numbers

Important terminology Word statistics

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Important terminology

displaystyle complex log function logarithm mathbb operatorname branch pi real numbers value branches defined one number ln principal theta exponential

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Complex logarithmis ageneralization of the natural logarithm to nonzero complex numbers0.90text
Complex logarithmhas applicationThe0.60section
Complex logarithmhas applicationNamely0.60section
Complex logarithmhas applicationLog0.60section
Complex logarithmhas applicationOne0.60section
Complex logarithmhas applicationBecause0.60section
Complex logarithmhas applicationIn0.60section
Complex logarithmrelated to Calculating the principal valueThe0.60section
Complex logarithmrelated to Calculating the principal valueIts0.60section
Complex logarithmrelated to Calculating the principal valueThis0.60section
Complex logarithmrelated to Calculating the principal valueLog0.60section
Complex logarithmrelated to Calculating the principal valueArg0.60section

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    Min side: 3
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