growthProperty
P37890
predicate
Indicates that one entity characterizes, constrains, or quantifies how another entity grows or changes in magnitude over some parameter (such as time, size, or input).
All labels observed (15)
| Label | Occurrences |
|---|---|
| growthProperty canonical | 8 |
| growthFactorExamples | 3 |
| linearGrowthRateDependsOn | 3 |
| growthModelCharacterizedBy | 2 |
| ballVolumeGrowth | 1 |
| cardinalityGrowth | 1 |
| grow | 1 |
| growthBound | 1 |
| growthCapability | 1 |
| growthFirstYear | 1 |
| growthNearZero | 1 |
| growthOnLJMedium | 1 |
| hasGrowthProperty | 1 |
| radiusGrowthLaw | 1 |
| showsGrowthRate | 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: growthProperty
Generated description
Indicates that one entity characterizes, constrains, or quantifies how another entity grows or changes in magnitude over some parameter (such as time, size, or input).
Sample triples (27)
| Subject | Object |
|---|---|
| Riemann zeta function | ζ(s) is of order 1 as an entire function of s after removing pole ⓘ |
| Euler’s totient function φ(n) | φ(n) ≤ n − 1 for n > 1 ⓘ |
| Euler’s totient function φ(n) | φ(n) ≥ c n / log log n for some positive constant c and sufficiently large n ⓘ |
| Parícutin | over 300 m high via predicate surface "growthFirstYear" ⓘ |
| Posidonia oceanica meadows | very slowly via predicate surface "grow" ⓘ |
| Bernoulli numbers | absolute values grow roughly like (2n)!/(2\pi)^{2n} ⓘ |
| Moore neighborhood | quadratic in radius r in 2D via predicate surface "cardinalityGrowth" ⓘ |
| Rayleigh–Taylor instability | wavenumber of perturbation via predicate surface "linearGrowthRateDependsOn" ⓘ |
| Rayleigh–Taylor instability | Atwood number via predicate surface "linearGrowthRateDependsOn" ⓘ |
| Rayleigh–Taylor instability | acceleration magnitude via predicate surface "linearGrowthRateDependsOn" ⓘ |
| Ramanujan tau function | |τ(p)| ≤ 2 p^{11/2} for prime p via predicate surface "growthBound" ⓘ |
|
highly composite numbers
surface form:
highly composite number
|
terms grow faster than linearly ⓘ |
| Dirichlet eta function | of finite order as an entire function ⓘ |
| Dirichlet kernel | behaves like 2n+1 near x = 0 via predicate surface "growthNearZero" ⓘ |
| Route 128 technology cluster | strong ties to established corporations via predicate surface "growthModelCharacterizedBy" ⓘ |
| Route 128 technology cluster | close links to federal defense spending via predicate surface "growthModelCharacterizedBy" ⓘ |
| S&P 500 Pure Growth Index | sales growth via predicate surface "growthFactorExamples" ⓘ |
| S&P 500 Pure Growth Index | earnings growth via predicate surface "growthFactorExamples" ⓘ |
| S&P 500 Pure Growth Index | momentum-related metrics via predicate surface "growthFactorExamples" ⓘ |
| Fermat's spiral | radius grows with the square root of the angle via predicate surface "radiusGrowthLaw" ⓘ |
| Liouville function | |λ(n)| = 1 for all positive integers n ⓘ |
|
Chebyshev distance (L-infinity metric)
surface form:
Chebyshev distance
|
proportional to radius^n in R^n via predicate surface "ballVolumeGrowth" ⓘ |
| Chebyshev’s estimates for π(x) | π(x) is of order x / log x via predicate surface "showsGrowthRate" ⓘ |
| Koebe function | |k(z)| \ge |z| / (1 + |z|)^2 for |z| < 1 via predicate surface "hasGrowthProperty" ⓘ |
| Hurwitz zeta function | of polynomial growth in vertical strips away from s = 1 ⓘ |
| Mycobacterium fortuitum | grows within 7 days via predicate surface "growthOnLJMedium" ⓘ |
| Listeria | can grow at refrigeration temperatures via predicate surface "growthCapability" ⓘ |