parityProperty
P70733
predicate
Indicates that a relationship or quantity has a specific parity (such as being even, odd, or matching in parity) according to the defined property.
All labels observed (4)
| Label | Occurrences |
|---|---|
| parityProperty canonical | 5 |
| haveParityProperty | 1 |
| parityPatternDependsOn | 1 |
| symmetricProperty | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: parityProperty
Generated description
Indicates that a relationship or quantity has a specific parity (such as being even, odd, or matching in parity) according to the defined property.
Sample triples (8)
| Subject | Object |
|---|---|
| Bernoulli numbers | B_n = 0 for all odd n > 1 ⓘ |
| EAN-2 | numeric value modulo 4 via predicate surface "parityPatternDependsOn" ⓘ |
| Bernoulli polynomials | B_{2m+1}(0) = 0 for m ≥ 1 ⓘ |
| Bell numbers | B_n is odd iff n has no 2s in its binary expansion ⓘ |
| Pontryagin classes | lie in degrees divisible by 4 ⓘ |
| Legendre polynomials | P_n(-x) = (-1)^n P_n(x) via predicate surface "haveParityProperty" ⓘ |
| Chebyshev polynomials of the first kind | T_n(-x) = (-1)^n T_n(x) ⓘ |
| Gegenbauer polynomials | C_n^{(\lambda)}(-x) = (-1)^n C_n^{(\lambda)}(x) via predicate surface "symmetricProperty" ⓘ |