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.
Observed surface forms (3)
| Surface form | Occurrences |
|---|---|
| haveParityProperty | 1 |
| parityPatternDependsOn | 1 |
| symmetricProperty | 1 |
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" ⓘ |