orthonormalityRelation
P57348
predicate
Indicates that a set of vectors are mutually orthogonal and each has unit length with respect to a given inner product.
All labels observed (2)
| Label | Occurrences |
|---|---|
| orthogonalityNormalization | 2 |
| orthonormalityRelation canonical | 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: orthonormalityRelation
Generated description
Indicates that a set of vectors are mutually orthogonal and each has unit length with respect to a given inner product.
Sample triples (3)
| Subject | Object |
|---|---|
| Kronecker delta | e_i · e_j = δ_ij ⓘ |
| Chebyshev polynomials of the first kind | \int_{-1}^1 T_n(x)^2 (1-x^2)^{-1/2} dx = \pi for n=0 via predicate surface "orthogonalityNormalization" ⓘ |
| Chebyshev polynomials of the first kind | \int_{-1}^1 T_n(x)^2 (1-x^2)^{-1/2} dx = \pi/2 for n ≥ 1 via predicate surface "orthogonalityNormalization" ⓘ |