sharesMathematicalStructureWith
P57352
predicate
Indicates that two entities exhibit the same or closely analogous underlying mathematical structure, such as isomorphism or structural equivalence.
All labels observed (6)
| Label | Occurrences |
|---|---|
| mathematicallyRelatedTo | 18 |
| mathematicallyAnalogousTo | 2 |
| mathematicallyLinkedTo | 1 |
| shareSchlafliSymbolsWith | 1 |
| sharesMathematicalFeaturesWith | 1 |
| sharesMathematicalStructureWith 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: sharesMathematicalStructureWith
Generated description
Indicates that two entities exhibit the same or closely analogous underlying mathematical structure, such as isomorphism or structural equivalence.
Sample triples (24)
| Subject | Object |
|---|---|
| Lorentz ether theory | special relativity ⓘ |
| Unruh effect |
Hawking radiation
via predicate surface "mathematicallyAnalogousTo"
ⓘ
surface form:
Hawking temperature of black holes
|
| Kepler–Poinsot polyhedra | Platonic solids via predicate surface "shareSchlafliSymbolsWith" ⓘ |
| Luttinger liquid theory | conformal field theory in 1+1 dimensions via predicate surface "mathematicallyRelatedTo" ⓘ |
| Luttinger liquid theory | Gaussian free boson theory via predicate surface "mathematicallyRelatedTo" ⓘ |
| neutrino oscillation | two-level quantum system oscillations via predicate surface "mathematicallyAnalogousTo" ⓘ |
| Witten index | index of an elliptic operator via predicate surface "mathematicallyRelatedTo" ⓘ |
| Witten index | Atiyah–Singer index theorem via predicate surface "mathematicallyRelatedTo" ⓘ |
| Ibn al-Shatir planetary model | Copernicus’s planetary models via predicate surface "sharesMathematicalFeaturesWith" ⓘ |
| complementarity principle | non-commuting observables via predicate surface "mathematicallyLinkedTo" ⓘ |
| neural tangent kernel | Gaussian process limits of neural networks via predicate surface "mathematicallyRelatedTo" NERFINISHED ⓘ |
| neural tangent kernel | kernel ridge regression via predicate surface "mathematicallyRelatedTo" ⓘ |
| neural tangent kernel | random feature models via predicate surface "mathematicallyRelatedTo" ⓘ |
| Oort constants | derivative of angular rotation speed with respect to Galactocentric radius via predicate surface "mathematicallyRelatedTo" ⓘ |
| BF theory | cohomology of the underlying manifold via predicate surface "mathematicallyRelatedTo" ⓘ |
| BF theory | topological invariants of manifolds via predicate surface "mathematicallyRelatedTo" ⓘ |
| BF theory | category theory and higher gauge theory via predicate surface "mathematicallyRelatedTo" ⓘ |
| CIE 1931 XYZ | RGB color spaces via predicate surface "mathematicallyRelatedTo" ⓘ |
| Hamiltonian optics | classical Hamiltonian dynamics via predicate surface "mathematicallyRelatedTo" ⓘ |
| Rindler coordinates | hyperbolic motion via predicate surface "mathematicallyRelatedTo" ⓘ |
| Rindler coordinates | Lorentz boosts via predicate surface "mathematicallyRelatedTo" NERFINISHED ⓘ |
| alpha–beta pruning | branch and bound via predicate surface "mathematicallyRelatedTo" ⓘ |
| Oja rule | eigenvalue problem via predicate surface "mathematicallyRelatedTo" ⓘ |
| Oja rule | stochastic gradient ascent via predicate surface "mathematicallyRelatedTo" ⓘ |