Möbius transformation (Q1775): Difference between revisions

@@ 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 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2013-10-28T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / Commons category @@
+Möbius transformation
@@ Property / Commons category: Möbius transformation / rank @@
+Normal rank
@@ Property / MathWorld ID @@
+LinearFractionalTransformation
@@ Property / MathWorld ID: LinearFractionalTransformation / rank @@
+Normal rank
@@ Property / MathWorld ID: LinearFractionalTransformation / reference @@
+imported from Wikimedia project: English Wikipedia
@@ Property / studied in @@
+complex analysis
@@ Property / studied in: complex analysis / rank @@
+Normal rank
@@ Property / Microsoft Academic ID @@
+92879324
@@ Property / Microsoft Academic ID: 92879324 / rank @@
+Normal rank
@@ Property / different from @@
+Möbius inversion formula
@@ Property / different from: Möbius inversion formula / rank @@
+Normal rank
@@ Property / different from: Möbius inversion formula / reference @@
+imported from Wikimedia project: English Wikipedia
Wikimedia import URL: https://en.wikipedia.org/w/index.php?title=Möbius_transformation&oldid=948834770
@@ Property / different from @@
+Möbius transform
@@ Property / different from: Möbius transform / rank @@
+Normal rank
@@ Property / different from: Möbius transform / qualifier @@
+criterion used: descriptive page and disambiguation page have to be in different items
@@ Property / said to be the same as @@
+Homographic Function
@@ Property / said to be the same as: Homographic Function / rank @@
+Normal rank
@@ Property / instance of @@
+transformation
@@ Property / instance of: transformation / rank @@
+Normal rank
@@ Property / Treccani's Enciclopedia della Matematica ID @@
+trasformazione-di-mobius
+Normal rank
+subject named as: Mobius, trasformazione di
+publication date: 2013Timestamp +2013-01-01T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++2013-01-01T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / ScienceDirect topic ID @@
+mathematics/mobius-transformation
@@ Property / ScienceDirect topic ID: mathematics/mobius-transformation / rank @@
+Normal rank
@@ Property / subclass of @@
+conformal map
@@ Property / subclass of: conformal map / rank @@
+Normal rank
@@ Property / defining formula @@
+ $f(z)={\frac {az+b}{cz+d}},ad-bc\neq 0$ 
f(z) = \frac{a z + b}{c z + d}, a d - b c \neq 0
@@ Property / defining formula: $f(z)={\frac {az+b}{cz+d}},ad-bc\neq 0$ / rank @@
+Normal rank
@@ Property / in defining formula @@
+ $f(z)$ 
f(z)
@@ Property / in defining formula: $f(z)$ / rank @@
+Normal rank
@@ Property / in defining formula: $f(z)$ / qualifier @@
+symbol represents: Möbius transformation
@@ Property / in defining formula @@
+ $a$ 
a
@@ Property / in defining formula: $a$ / rank @@
+Normal rank
@@ Property / in defining formula: $a$ / qualifier @@
+symbol represents: complex number
@@ Property / in defining formula @@
+ $b$ 
b
@@ Property / in defining formula: $b$ / rank @@
+Normal rank
@@ Property / in defining formula: $b$ / qualifier @@
+symbol represents: complex number
@@ Property / in defining formula @@
+ $c$ 
c
@@ Property / in defining formula: $c$ / rank @@
+Normal rank
@@ Property / in defining formula: $c$ / qualifier @@
+symbol represents: complex number
@@ Property / in defining formula @@
+ $d$ 
d
@@ Property / in defining formula: $d$ / rank @@
+Normal rank
@@ Property / in defining formula: $d$ / qualifier @@
+symbol represents: complex number
@@ Property / Digital Library of Mathematical Functions ID @@
+.9.E40
@@ Property / Digital Library of Mathematical Functions ID: 1.9.E40 / rank @@
+Normal rank
@@ Property / GND ID @@
+1059143917
@@ Property / GND ID: 1059143917 / rank @@
+Normal rank
@@ Property / input set @@
+extended complex plane
@@ Property / input set: extended complex plane / rank @@
+Normal rank
@@ Property / image of function @@
+extended complex plane
@@ Property / image of function: extended complex plane / rank @@
+Normal rank
@@ 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
English	Möbius transformation	fractional linear transformation on the complex projective line	bilinear transformation fractional linear transformation homographic transformation