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

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" ⓘ
SL(n,ℝ) true ⓘ
shape operator true ⓘ
Liouville–von Neumann equation density operator via predicate surface "isLinearIn" ⓘ
SL(2,ℤ) true ⓘ
Riesz projection true ⓘ