approximationType
P4447
predicate
Indicates the specific method or scheme used to approximate a value, function, or relationship in a given context.
All labels observed (18)
| Label | Occurrences |
|---|---|
| approximationType canonical | 34 |
| approximatedBy | 19 |
| hasApproximation | 11 |
| usesApproximation | 8 |
| usesApproximationType | 6 |
| usesFunctionApproximator | 6 |
| approximationMethod | 5 |
| approximationLevel | 2 |
| canUseFunctionApproximation | 2 |
| estimatedFrom | 2 |
| hasApproximateFormula | 2 |
| numericalSchemes | 2 |
| approximatesSolution | 1 |
| approximationDomain | 1 |
| approximationFormula | 1 |
| approximatorType | 1 |
| firstApproximation | 1 |
| hasApproximationAlgorithm | 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: approximationType
Generated description
Indicates the specific method or scheme used to approximate a value, function, or relationship in a given context.
Sample triples (105)
| Subject | Object |
|---|---|
| Born–Oppenheimer approximation | adiabatic approximation ⓘ |
| Born–Oppenheimer approximation | clamped-nuclei approximation ⓘ |
| Langevin dynamics | Euler–Maruyama method via predicate surface "numericalSchemes" ⓘ |
| Langevin dynamics | stochastic Verlet integrator via predicate surface "numericalSchemes" ⓘ |
| Rayleigh–Schrödinger perturbation theory | systematic series expansion ⓘ |
| Boltzmann machines | mean-field approximation via predicate surface "approximationMethod" ⓘ |
| Boltzmann machines | variational inference via predicate surface "approximationMethod" ⓘ |
| Dyson series | perturbative series in coupling constants ⓘ |
| Fresnel diffraction theory | paraxial approximation via predicate surface "usesApproximation" ⓘ |
| Fresnel diffraction theory | quadratic phase approximation via predicate surface "usesApproximation" ⓘ |
| Huang–Rhys factor | fit to vibronic sideband intensities via predicate surface "estimatedFrom" ⓘ |
| Huang–Rhys factor | temperature dependence of luminescence via predicate surface "estimatedFrom" ⓘ |
| Gauss's law for magnetism | classical (non-quantum) description via predicate surface "approximationLevel" ⓘ |
| Bardeen–Stephen model of flux flow in superconductors | macroscopic, continuum description of vortices ⓘ |
| Atari deep Q-network | convolutional neural network via predicate surface "usesFunctionApproximator" ⓘ |
| Abraham de Moivre | normal approximation to factorials related to Stirling's formula via predicate surface "hasApproximateFormula" ⓘ |
| Stokes flow | Oseen approximation for slightly higher Reynolds numbers via predicate surface "hasApproximation" ⓘ |
| Riemann–Siegel formula | asymptotic expansion ⓘ |
| Riemann–Siegel formula | saddle-point approximation ⓘ |
| Riemann integral | Riemann sums via predicate surface "approximatedBy" ⓘ |
| Riemann integral | trapezoidal rule via predicate surface "approximatedBy" ⓘ |
| Riemann integral | midpoint rule via predicate surface "approximatedBy" ⓘ |
| Riemann integral | Simpson's rule via predicate surface "approximatedBy" ⓘ |
|
Born approximation
linked to:
Born approximation in scattering theory
|
single-interaction approximation ⓘ |
| Bethe–Feynman formula for nuclear explosions | simplified analytic approximation ⓘ |
| Dueling DQN | deep neural network via predicate surface "usesFunctionApproximator" ⓘ |
| A2C | neural network via predicate surface "usesFunctionApproximator" ⓘ |
| ACKTR | Kronecker-factored curvature matrix via predicate surface "usesApproximation" ⓘ |
| DDPG | deep neural network via predicate surface "usesFunctionApproximator" ⓘ |
| Lorentz–Lorenz equation | mean-field approximation ⓘ |
| Weierstrass approximation theorem | uniform approximation ⓘ |
| Picard iteration | constant function equal to initial value y0 via predicate surface "firstApproximation" ⓘ |
| Wheeler–DeWitt equation | Born–Oppenheimer approximation via predicate surface "approximationMethod" ⓘ |
| Wheeler–DeWitt equation | WKB approximation via predicate surface "approximationMethod" ⓘ |
| Tolman length | fitting curvature-dependent surface tension data via predicate surface "approximatedBy" ⓘ |
| Tolman length | molecular dynamics simulations of droplets via predicate surface "approximatedBy" ⓘ |
| Tolman length | density functional theory calculations via predicate surface "approximatedBy" ⓘ |
| Peierls substitution | semi-classical approximation ⓘ |
| Peierls substitution | effective low-energy description ⓘ |
| Fermat’s principle of least time | short-wavelength limit of wave optics ⓘ |
| Laplace method | ∫_a^b e^{λ f(x)} g(x) dx ≈ e^{λ f(x0)} g(x0) √(2π/(−λ f''(x0))) for large λ via predicate surface "approximationFormula" ⓘ |
| Hartree–Fock method | Born–Oppenheimer approximation via predicate surface "usesApproximation" ⓘ |
| Hartree–Fock method | mean-field approximation via predicate surface "usesApproximation" ⓘ |
| density functional theory | local density approximation via predicate surface "usesApproximationType" ⓘ |
| density functional theory | generalized gradient approximation via predicate surface "usesApproximationType" ⓘ |
| density functional theory | meta-GGA functional via predicate surface "usesApproximationType" ⓘ |
| density functional theory | hybrid functional via predicate surface "usesApproximationType" ⓘ |
| density functional theory | range-separated hybrid functional via predicate surface "usesApproximationType" ⓘ |
| density functional theory | van der Waals density functional via predicate surface "usesApproximationType" ⓘ |
| Gell-Mann–Okubo mass formula | first-order SU(3) symmetry breaking ⓘ |