mathematical property
C20339
concept
A mathematical property is a characteristic or attribute of a mathematical object or structure that remains consistent under specified conditions or operations.
All labels observed (11)
| Label | Occurrences |
|---|---|
| mathematical invariant | 4 |
| topological space property | 4 |
| mathematical condition | 3 |
| duality principle | 2 |
| mathematical property canonical | 2 |
| mathematical norm | 1 |
| property of complex systems | 1 |
| property of derivatives | 1 |
| property of functions | 1 |
| property of the real number system | 1 |
| symmetry relation | 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: mathematical property
Generated description
A mathematical property is a characteristic or attribute of a mathematical object or structure that remains consistent under specified conditions or operations.
Instances (19)
| Instance | Via concept surface |
|---|---|
| Church–Rosser property | — |
| Poincaré duality | duality principle |
| Archimedean property of real numbers | — |
| Onsager reciprocal relations | symmetry relation |
| Hasse invariant | mathematical invariant |
| Sommerfeld radiation condition | mathematical condition |
| Cauchy–Riemann equations | mathematical condition |
|
Hausdorff
surface form:
Hausdorff space
|
topological space property |
| Milnor number | mathematical invariant |
| near-decomposability | property of complex systems |
| Bombieri norm | mathematical norm |
| Lipschitz continuity condition | mathematical condition |
| Leibniz rule | property of derivatives |
| Krull–Gabriel dimension | mathematical invariant |
| Lefschetz duality | duality principle |
|
Arf
surface form:
Arf invariant
|
mathematical invariant |
| Scott continuity | property of functions |
| Tychonoff space | topological space property |
|
Kolmogorov space (T0 space)
surface form:
Kolmogorov space
|
topological space property |