isLinear
P38258
predicate
Indicates that a relationship, function, or structure preserves linearity, typically meaning it satisfies additivity and homogeneity (or forms a straight-line dependence between variables).
All labels observed (5)
| Label | Occurrences |
|---|---|
| isLinear canonical | 9 |
| linearityProperty | 4 |
| isLinearIn | 3 |
| linearityIn | 2 |
| isLinearOver | 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: isLinear
Generated description
Indicates that a relationship, function, or structure preserves linearity, typically meaning it satisfies additivity and homogeneity (or forms a straight-line dependence between variables).
Sample triples (19)
| Subject | Object |
|---|---|
| Riemann–Liouville integral | true ⓘ |
| Faraday effect | magnetic field for weak fields via predicate surface "isLinearIn" ⓘ |
| Lie bracket | linear in first argument via predicate surface "linearityProperty" ⓘ |
| Lie bracket | linear in second argument via predicate surface "linearityProperty" ⓘ |
| AddRoundKey | GF(2) via predicate surface "isLinearOver" ⓘ |
| Riemann–Stieltjes integral | integrand via predicate surface "linearityIn" ⓘ |
| Riemann–Stieltjes integral | integrator when combined appropriately via predicate surface "linearityIn" ⓘ |
| Weyl fractional integral | true ⓘ |
| Dirac operator | true ⓘ |
| Banach limit | L(x+y)=L(x)+L(y) via predicate surface "linearityProperty" ⓘ |
| Banach limit | L(αx)=αL(x) via predicate surface "linearityProperty" ⓘ |
| Hamming code | true ⓘ |
| Brent River Park | true ⓘ |
| CIE 1931 XYZ | tristimulus values via predicate surface "isLinearIn" ⓘ |
|
special linear group SL(n,R)
surface form:
SL(n,ℝ)
|
true ⓘ |
| shape operator | true ⓘ |
| Liouville–von Neumann equation | density operator via predicate surface "isLinearIn" ⓘ |
| SL(2,ℤ) | true ⓘ |
| Riesz projection | true ⓘ |