subfield of ℂ
C21316
concept
A subfield of ℂ is a subset of the complex numbers that contains 0 and 1 and is closed under addition, subtraction, multiplication, and division by nonzero elements, thereby forming a field under the usual operations inherited from ℂ.
All labels observed (2)
| Label | Occurrences |
|---|---|
| subset of the complex plane | 2 |
| subfield of ℂ 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: subfield of ℂ
Generated description
A subfield of ℂ is a subset of the complex numbers that contains 0 and 1 and is closed under addition, subtraction, multiplication, and division by nonzero elements, thereby forming a field under the usual operations inherited from ℂ.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Gaussian rationals ℚ(i) | — |
| Mandelbrot set | subset of the complex plane |
| Julia set | subset of the complex plane |