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Statements

Subject Item
dbr:Directed_infinity
rdfs:label
Directed infinity
rdfs:comment
A directed infinity is a type of infinity in the complex plane that has a defined complex argument θ but an infinite absolute value r. For example, the limit of 1/x where x is a positive real number approaching zero is a directed infinity with argument 0; however, 1/0 is not a directed infinity, but a complex infinity. Some rules for manipulation of directed infinities (with all variables finite) are: * * * * Here, sgn(z) = z/|z| is the complex signum function.
dct:subject
dbc:Infinity
dbo:wikiPageID
9386948
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799152596
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dbr:Sign_function dbc:Infinity dbr:Complex_infinity dbr:Point_at_infinity dbr:Argument_(complex_analysis)
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dbo:abstract
A directed infinity is a type of infinity in the complex plane that has a defined complex argument θ but an infinite absolute value r. For example, the limit of 1/x where x is a positive real number approaching zero is a directed infinity with argument 0; however, 1/0 is not a directed infinity, but a complex infinity. Some rules for manipulation of directed infinities (with all variables finite) are: * * * * Here, sgn(z) = z/|z| is the complex signum function.
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1086
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wikipedia-en:Directed_infinity