keyFormula

P2310
predicate

Indicates that a formula serves as the primary or defining expression associated with an entity or relationship.

All labels observed (35)

Label Occurrences
mathematicalForm 239
hasFormula 74
formula 24

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: keyFormula
Generated description
Indicates that a formula serves as the primary or defining expression associated with an entity or relationship.

Sample triples (440)

Subject Object
V–A theory V − A combination of currents via predicate surface "mathematicalForm"
Bhabha–Corben equations system of coupled differential equations via predicate surface "mathematicalForm"
Titius–Bode law a = 0.4 + 0.3 × 2^n (in astronomical units) via predicate surface "mathematicalForm"
Kramers opacity law κ ∝ ρ T^(-7/2) via predicate surface "mathematicalForm"
Knudsen number Kn = λ / L via predicate surface "formula"
StandardScaler (x - mean) / standard_deviation via predicate surface "commonFormula"
Glauber–Sudarshan P function distribution over complex amplitude α via predicate surface "mathematicalForm"
Cotton–Mouton effect birefringence proportional to Cotton–Mouton constant times square of magnetic field via predicate surface "mathematicalForm"
Compton wavelength λ_C = h / (m c) via predicate surface "hasFormula"
Compton wavelength
surface form: reduced Compton wavelength
λ̄_C = ħ / (m c) via predicate surface "hasFormula"
Butler–Volmer equation exponential dependence of current on overpotential via predicate surface "mathematicalForm"
Cesàro summation σ_n = (1/(n+1)) Σ_{k=0}^n s_k where s_k are partial sums via predicate surface "hasFormula"
Lucas supply function y = y* + α(p - E[p]) via predicate surface "mathematicalForm"
Zeldovich approximation in large-scale structure formation
surface form: Zeldovich approximation
x(q,a) = q + D(a) s(q) via predicate surface "mathematicalForm"
Jordan–Wigner transformation string of σz operators multiplying local spin-flip operators via predicate surface "mathematicalForm"
Neumann boundary conditions in potential theory ∂u/∂n = g on the boundary via predicate surface "mathematicalForm"
Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy coupled equations for reduced distribution functions f_s via predicate surface "mathematicalForm"
Bogoliubov inequality inequality between correlation functions and commutators via predicate surface "mathematicalForm"
Dirichlet boundary conditions u(x)=g(x) for x on the boundary via predicate surface "mathematicalForm"
Parable of the Yeast "The kingdom of heaven is like" via predicate surface "openingFormula"
Karplus equation for NMR coupling constants J = A cos²(θ) + B cos(θ) + C via predicate surface "mathematicalForm"
Second Epistle of Clement lacks epistolary greeting via predicate surface "openingFormula"
Ganapati Atharvashirsha identification of Ganesha with Om via predicate surface "containsFormula"
Ganapati Atharvashirsha identification of Ganesha with the five elements via predicate surface "containsFormula"
Ganapati Atharvashirsha identification of Ganesha with speech and consciousness via predicate surface "containsFormula"
Gutzwiller approximation renormalization of kinetic and interaction terms by Gutzwiller factors via predicate surface "mathematicalForm"
Coulomb gap power-law suppression of density of states via predicate surface "mathematicalForm"
Gay-Lussac's law P ∝ T via predicate surface "mathematicalForm"
Gay-Lussac's law P1 / T1 = P2 / T2 via predicate surface "mathematicalForm"
Gay-Lussac's law P = kT via predicate surface "mathematicalForm"
Hamming code k/n via predicate surface "codeRateFormula"
Oracles against the nations Thus says the Lord via predicate surface "openingFormula"
Dirac current ∂_μ j^μ = 0 via predicate surface "satisfiesEquation"
Proca equation (∂_μ∂^μ + m^2)A^ν − ∂^ν(∂_μ A^μ) = 0 via predicate surface "mathematicalForm"
Schrödinger formulation of quantum mechanics time-independent Schrödinger equation via predicate surface "coreEquation"
Schrödinger formulation of quantum mechanics Ĥ|ψ⟩ = E|ψ⟩ via predicate surface "coreEquation"
Ἠοῖαι ἤ οἵη (ē hoia) via predicate surface "openingFormula"
Gibbs–Duhem equation S dT − V dP + Σ n_i dμ_i = 0 via predicate surface "mathematicalForm"
Debye model integral over phonon frequencies up to Debye cutoff via predicate surface "mathematicalForm"
Ertel potential vorticity theorem Dq/Dt = 0 for inviscid adiabatic flow via predicate surface "mathematicalForm"
Laplace pressure ΔP = γ (1/R1 + 1/R2) via predicate surface "hasFormula"
Laplace pressure ΔP = 2γ/R for a spherical interface via predicate surface "hasFormula"
Etherington reciprocity theorem relation between area distance and luminosity distance via predicate surface "mathematicalForm"
Weizsäcker formula for nuclear binding energy binding energy expressed as sum of macroscopic terms via predicate surface "mathematicalForm"
Charney equation nonlinear partial differential equation via predicate surface "mathematicalForm"
Charney–Eliassen model set of linearized quasi-geostrophic equations via predicate surface "mathematicalForm"
Charney–Eliassen model elliptic partial differential equation for streamfunction via predicate surface "mathematicalForm"
Chew-Frautschi plots J = α(0) + α' m^2 via predicate surface "mathematicalForm" GENERATED
Dyophysitism Christ is in two natures, without confusion, change, division, or separation via predicate surface "centralFormula"
Lotka–Volterra models nonlinear differential equations via predicate surface "mathematicalForm"