Möbius transformation (Q1775): Difference between revisions

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Property / Freebase ID
 
/m/01tngc
Property / Freebase ID: /m/01tngc / rank
 
Normal rank
Property / Freebase ID: /m/01tngc / reference
 
stated in: Freebase Data Dumps
publication date: 28 October 2013
Timestamp+2013-10-28T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 day
Before0
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Property / Commons category
 
Möbius transformation
Property / Commons category: Möbius transformation / rank
 
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Property / MathWorld ID
 
LinearFractionalTransformation
Property / MathWorld ID: LinearFractionalTransformation / rank
 
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Property / MathWorld ID: LinearFractionalTransformation / reference
 
Property / studied in
 
Property / studied in: complex analysis / rank
 
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Property / Microsoft Academic ID
 
92879324
Property / Microsoft Academic ID: 92879324 / rank
 
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Property / different from
 
Property / different from: Möbius inversion formula / rank
 
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Property / different from: Möbius inversion formula / reference
 
Property / different from
 
Property / different from: Möbius transform / rank
 
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Property / different from: Möbius transform / qualifier
 
Property / said to be the same as
 
Property / said to be the same as: Homographic Function / rank
 
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Property / instance of
 
Property / instance of: transformation / rank
 
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Property / Treccani's Enciclopedia della Matematica ID
 
trasformazione-di-mobius
Property / Treccani's Enciclopedia della Matematica ID: trasformazione-di-mobius / rank
 
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Property / Treccani's Enciclopedia della Matematica ID: trasformazione-di-mobius / qualifier
 
subject named as: Mobius, trasformazione di
Property / Treccani's Enciclopedia della Matematica ID: trasformazione-di-mobius / qualifier
 
publication date: 2013
Timestamp+2013-01-01T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 year
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Property / ScienceDirect topic ID
 
mathematics/mobius-transformation
Property / ScienceDirect topic ID: mathematics/mobius-transformation / rank
 
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Property / subclass of
 
Property / subclass of: conformal map / rank
 
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Property / defining formula
 

f(z)=az+bcz+d,adbc0

f(z) = \frac{a z + b}{c z + d}, a d - b c \neq 0
Property / defining formula: f(z)=az+bcz+d,adbc0 / rank
 
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Property / in defining formula
 

f(z)

f(z)
Property / in defining formula: f(z) / rank
 
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Property / in defining formula: f(z) / qualifier
 
Property / in defining formula
 

a

a
Property / in defining formula: a / rank
 
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Property / in defining formula: a / qualifier
 
Property / in defining formula
 

b

b
Property / in defining formula: b / rank
 
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Property / in defining formula: b / qualifier
 
Property / in defining formula
 

c

c
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Property / in defining formula: c / qualifier
 
Property / in defining formula
 

d

d
Property / in defining formula: d / rank
 
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Property / in defining formula: d / qualifier
 
Property / Digital Library of Mathematical Functions ID
 
Property / Digital Library of Mathematical Functions ID: 1.9.E40 / rank
 
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Property / GND ID
 
1059143917
Property / GND ID: 1059143917 / rank
 
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Property / input set
 
Property / input set: extended complex plane / rank
 
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Property / image of function
 
Property / image of function: extended complex plane / rank
 
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Property / ProofWiki ID
 
Definition:Möbius_Transformation
Property / ProofWiki ID: Definition:Möbius_Transformation / rank
 
Normal rank

Latest revision as of 15:10, 29 July 2024

fractional linear transformation on the complex projective line
  • bilinear transformation
  • fractional linear transformation
  • homographic transformation
Language Label Description Also known as
default for all languages
No label defined
    English
    Möbius transformation
    fractional linear transformation on the complex projective line
    • bilinear transformation
    • fractional linear transformation
    • homographic transformation

    Statements

    Identifiers

    0 references
    /m/01tngc
    1 reference
    LinearFractionalTransformation
    92879324
    0 references
    trasformazione-di-mobius
    Mobius, trasformazione di
    0 references
    mathematics/mobius-transformation
    0 references
    1059143917
    0 references
    Definition:Möbius_Transformation
    0 references