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"
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