conformal map
C66333
concept
A conformal map is a function between domains in the complex plane (or higher-dimensional spaces) that preserves angles and the local shape of infinitesimal figures, though not necessarily their size.
All labels observed (2)
| Label | Occurrences |
|---|---|
| conformal mapping | 2 |
| conformal map canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: conformal map
Generated description
A conformal map is a function between domains in the complex plane (or higher-dimensional spaces) that preserves angles and the local shape of infinitesimal figures, though not necessarily their size.
Instances (3)
| Instance | Via concept surface |
|---|---|
|
Möbius transformations
surface form:
Möbius transformation
|
— |
|
Christoffel
surface form:
Christoffel–Schwarz transformation
|
conformal mapping |
| Schwarz–Christoffel mapping | conformal mapping |