relatedCurve
P27207
predicate
Indicates that one curve is associated with or derived from another curve in a defined relational way.
All labels observed (8)
| Label | Occurrences |
|---|---|
| curveType | 10 |
| tangentTo | 4 |
| solutionCurve | 2 |
| LMCurveRepresents | 1 |
| concernsCurve | 1 |
| curveForEd25519 | 1 |
| relatedCurve canonical | 1 |
| relationToAlexanderPolynomial | 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: relatedCurve
Generated description
Indicates that one curve is associated with or derived from another curve in a defined relational way.
Sample triples (21)
| Subject | Object |
|---|---|
| Gauss’s constant | Bernoulli lemniscate ⓘ |
| Conway polynomial | Δ_K(t) = ∇_K(t^{1/2} − t^{−1/2}) up to normalization via predicate surface "relationToAlexanderPolynomial" ⓘ |
| IS-LM model | combinations of interest rate and output where money market is in equilibrium via predicate surface "LMCurveRepresents" ⓘ |
| Bernoulli lemniscate | Cassini oval special case via predicate surface "curveType" ⓘ |
| Quadrature of the Parabola | parabola via predicate surface "concernsCurve" ⓘ |
| B-splines | parametric curve via predicate surface "curveType" ⓘ |
| Linn Cove Viaduct | S-curve via predicate surface "curveType" ⓘ |
| brainpool curves | Weierstrass form via predicate surface "curveType" ⓘ |
| Catmull–Rom spline | smooth curve via predicate surface "curveType" ⓘ |
| brachistochrone problem | cycloid via predicate surface "solutionCurve" ⓘ |
| EdDSA |
Curve25519 in Edwards form
via predicate surface "curveForEd25519"
ⓘ
linked to:
Twisted Edwards curve
|
| Ramanujan–Nagell equation | hyperelliptic curve via predicate surface "curveType" ⓘ |
| NIST P-256 family | random prime curve via predicate surface "curveType" ⓘ |
| RFC 7748 | Montgomery curve via predicate surface "curveType" ⓘ |
| RFC 5639 | prime field elliptic curves via predicate surface "curveType" ⓘ |
| P-384 | random prime curve via predicate surface "curveType" ⓘ |
| nine-point circle | incircle of the triangle via predicate surface "tangentTo" ⓘ |
| nine-point circle | A-excircle of the triangle via predicate surface "tangentTo" ⓘ |
| nine-point circle | B-excircle of the triangle via predicate surface "tangentTo" ⓘ |
| nine-point circle | C-excircle of the triangle via predicate surface "tangentTo" ⓘ |
| tautochrone problem | cycloid via predicate surface "solutionCurve" ⓘ |