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- Complex_logarithm abstract "In complex analysis, a complex logarithm function is an "inverse" of the complex exponential function, just as the real natural logarithm ln x is the inverse of the real exponential function ex. Thus, a logarithm of a complex number z is a complex number w such that ew = z. The notation for such a w is ln z or log z. Since every nonzero complex number z has infinitely many logarithms, care is required to give such notation an unambiguous meaning.If z = reiθ with r > 0 (polar form), then w = ln r + iθ is one logarithm of z; adding integer multiples of 2πi gives all the others.".
- Complex_logarithm thumbnail Complex_log.jpg?width=300.
- Complex_logarithm wikiPageExternalLink books?id=FUWPyHM-XK0C&pg=PA40&dq=logarithm+intitle:Complex+intitle:function+intitle:theory+inauthor:sarason&lr=&as_brr=0&ei=df4UScGONJ_EtAPZ5-XjCw.
- Complex_logarithm wikiPageID "4870290".
- Complex_logarithm wikiPageRevisionID "604626493".
- Complex_logarithm hasPhotoCollection Complex_logarithm.
- Complex_logarithm subject Category:Analytic_functions.
- Complex_logarithm subject Category:Logarithms.
- Complex_logarithm type Abstraction100002137.
- Complex_logarithm type AnalyticFunctions.
- Complex_logarithm type Communication100033020.
- Complex_logarithm type Exponent106812417.
- Complex_logarithm type Function113783816.
- Complex_logarithm type Logarithm106812631.
- Complex_logarithm type Logarithms.
- Complex_logarithm type MathematicalNotation106808720.
- Complex_logarithm type MathematicalRelation113783581.
- Complex_logarithm type Notation106808493.
- Complex_logarithm type Relation100031921.
- Complex_logarithm type Writing106359877.
- Complex_logarithm type WrittenCommunication106349220.
- Complex_logarithm comment "In complex analysis, a complex logarithm function is an "inverse" of the complex exponential function, just as the real natural logarithm ln x is the inverse of the real exponential function ex. Thus, a logarithm of a complex number z is a complex number w such that ew = z. The notation for such a w is ln z or log z.".
- Complex_logarithm label "Complex logarithm".
- Complex_logarithm label "Complexe logaritme".
- Complex_logarithm label "Logarithme complexe".
- Complex_logarithm label "Logaritmo complejo".
- Complex_logarithm label "Logaritmo complesso".
- Complex_logarithm label "Комплексный логарифм".
- Complex_logarithm sameAs Logaritmo_complejo.
- Complex_logarithm sameAs Logarithme_complexe.
- Complex_logarithm sameAs Logaritmo_complesso.
- Complex_logarithm sameAs Complexe_logaritme.
- Complex_logarithm sameAs m.0crw7v.
- Complex_logarithm sameAs Q2520206.
- Complex_logarithm sameAs Q2520206.
- Complex_logarithm sameAs Complex_logarithm.
- Complex_logarithm wasDerivedFrom Complex_logarithm?oldid=604626493.
- Complex_logarithm depiction Complex_log.jpg.
- Complex_logarithm isPrimaryTopicOf Complex_logarithm.
