diagonalProperty

P25793
predicate

Indicates a relationship where something possesses or exhibits a diagonal characteristic, alignment, or behavior relative to a reference frame or structure.

All labels observed (4)

Label Occurrences
diagonalProperty canonical 4
hasDiagonalEntries 2
hasMainDiagonal 2

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: diagonalProperty
Generated description
Indicates a relationship where something possesses or exhibits a diagonal characteristic, alignment, or behavior relative to a reference frame or structure.

Sample triples (9)

Subject Object
Pascal's triangle first diagonal consists of all 1s
Pascal's triangle second diagonal lists natural numbers n
Pascal's triangle third diagonal lists triangular numbers
Pascal's triangle fourth diagonal lists tetrahedral numbers
Jacobi matrix real sequence via predicate surface "hasMainDiagonal"
Jacobi matrix recurrence coefficients a_n via predicate surface "hasDiagonalEntries"
UpperTriangular possibly nonzero entries via predicate surface "hasMainDiagonal"
Hermitian forms (work on quadratic forms)
surface form: Hermitian form
Hermitian matrix can be unitarily diagonalized via predicate surface "diagonalizationProperty"
Smith normal form invariant factors via predicate surface "hasDiagonalEntries"