linear differential operator
C23060
concept
A linear differential operator is a mapping that takes a function as input and returns a new function formed by a linear combination of the function and its derivatives.
All labels observed (3)
| Label | Occurrences |
|---|---|
| complex differential operator | 1 |
| first-order differential operator | 1 |
| linear differential operator 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: linear differential operator
Generated description
A linear differential operator is a mapping that takes a function as input and returns a new function formed by a linear combination of the function and its derivatives.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Jacobi operator | — |
| Dirac operator | first-order differential operator |
| Wirtinger derivatives | complex differential operator |