mathematicallyExpressedBy

P12675
predicate

Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.

Try in SPARQL

All labels observed (89)

Label Occurrences
expressedAs 57
mathematicalTool 57
symbolicForm 21

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: mathematicallyExpressedBy
Generated description
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.

Sample triples (446)

Subject Object
relativity of simultaneity time component of Lorentz transformation ⓘ
Einstein's annus mirabilis papers
surface form: "Does the Inertia of a Body Depend Upon Its Energy Content?"
E = mc^2 via predicate surface "introducedFormula" ⓘ
Einstein tensor G_{\mu\nu} = R_{\mu\nu} - \tfrac{1}{2} R g_{\mu\nu} via predicate surface "equation" ⓘ
Einstein tensor G_{\mu\nu} = 8\pi G T_{\mu\nu} / c^{4} via predicate surface "equationContext" ⓘ
Eliashberg theory Eliashberg theory via predicate surface "equations" self-linksurface differs ⓘ
surface form: Eliashberg equations
Levi-Civita connection Christoffel symbols of the second kind via predicate surface "localExpression" ⓘ
Poisson spot Bessel function intensity distribution via predicate surface "hasMathematicalDescription" ⓘ
Pascal's triangle C(n,k) = n choose k via predicate surface "entryFormula" ⓘ
multinomial theorem x1^{k1}...xm^{km} equals n!/(k1!...km!) via predicate surface "coefficientOf" ⓘ
Snell’s law of refraction n1 * sin(θ1) = n2 * sin(θ2) via predicate surface "equationForm" ⓘ
Snell’s law of refraction n = c / v via predicate surface "expressibleAs" ⓘ
Snell’s law of refraction trigonometric relation via predicate surface "mathematicalType" ⓘ
reduced Planck constant ħ = h / (2π) via predicate surface "mathematicalDefinition" ⓘ
reduced Planck constant [x̂, p̂] = iħ via predicate surface "entersEquation" ⓘ
reduced Planck constant Δx Δp ≥ ħ/2 via predicate surface "entersEquation" ⓘ
reduced Planck constant iħ ∂ψ/∂t = Ĥψ via predicate surface "entersEquation" ⓘ
reduced Planck constant L̂ = -iħ r × ∇ via predicate surface "entersEquation" ⓘ
reduced Planck constant Ŝ = ħ σ/2 via predicate surface "entersEquation" ⓘ
AdS/CFT correspondence correspondence between boundary correlators and bulk on-shell action via predicate surface "mathematicalTool" ⓘ
Hawking radiation Bogoliubov transformations between in and out states via predicate surface "hasMathematicalDescription" ⓘ
Hawking radiation quantum field modes on Schwarzschild background via predicate surface "hasMathematicalDescription" ⓘ
SU(2)_L [T^a, T^b] = i ε^{abc} T^c via predicate surface "commutationRelations" ⓘ
Huang–Rhys factor average number of phonons involved in an electronic transition via predicate surface "mathematicalRole" ⓘ
Economic Confidence Model cyclical periodicity via predicate surface "hasMathematicalBasis" ⓘ
Gaussian distribution f(x) = (1/(σ√(2π))) · exp(−(x−μ)²/(2σ²)) via predicate surface "probabilityDensityFunction" ⓘ
Gauss’s law
surface form: Gauss's law
∇ · E = ρ / ε₀ via predicate surface "differentialForm" ⓘ
Gaussian integral e^{−x^2} via predicate surface "integrand" ⓘ
Higgs field complex scalar doublet field φ via predicate surface "isMathematicallyRepresentedAs" ⓘ
Higgs mechanism gauge theories with spontaneous symmetry breaking via predicate surface "mathematicallyFormalizedIn" ⓘ
Galilean relativity Galilean group symmetry via predicate surface "hasMathematicalFormulation" ⓘ
Rayleigh–Jeans law at low frequencies B_λ(T) = (2ckT)∕λ⁴ via predicate surface "formulaInWavelengthForm" ⓘ
Wien displacement law λ_max T = b via predicate surface "symbolicForm" ⓘ
Wien displacement law λ_max = b / T via predicate surface "hasEquation" ⓘ
Wien displacement law ν_max ≈ (k_B T)/h (for frequency form, approximate) via predicate surface "hasEquation" ⓘ
Faraday's law of induction ∮_C E · dl = - d/dt ∫_S B · dA via predicate surface "differentialForm" ⓘ
Faraday's law of induction ∮_C E · dl = - dΦ_B/dt via predicate surface "integralForm" ⓘ
Lorentz contraction Lorentz factor gamma = 1/sqrt(1 - v^2/c^2) via predicate surface "mathematicalTool" ⓘ
Lorentz contraction L = L0 / gamma via predicate surface "expressedAs" ⓘ
Gaussian curvature K = k1 * k2 via predicate surface "formulaInPrincipalDirections" ⓘ
Newtonian fluids
surface form: Newtonian fluid
τ = μ (du/dy) via predicate surface "obeysEquation" ⓘ
Euler equations nonlinear partial differential equation via predicate surface "mathematicalType" ⓘ
Euler equations hyperbolic system via predicate surface "mathematicalType" ⓘ
Bardeen–Stephen model of flux flow in superconductors flux-flow resistivity ρ_ff ≈ ρ_n (B / Hc2) via predicate surface "givesFormulaFor" ⓘ
Ekman transport M = τ / (ρ f) via predicate surface "governingEquation" ⓘ
Boltzmann equation nonlinear equation via predicate surface "mathematicalType" ⓘ
Boltzmann equation integro-differential equation in 7 variables via predicate surface "mathematicalType" ⓘ
Rosseland mean opacity harmonic mean of monochromatic opacity weighted by derivative of Planck function with respect to temperature via predicate surface "mathematicalDefinition" ⓘ
Fermi liquid theory Green's functions via predicate surface "mathematicalTool" ⓘ
Fermi liquid theory self-energy via predicate surface "mathematicalTool" ⓘ
Fermi liquid theory renormalization of quasiparticle parameters via predicate surface "mathematicalTool" ⓘ