mathematicallyUses

P4746
predicate

Indicates that one entity employs or applies another entity within a mathematical context, such as in a formula, proof, computation, or theoretical framework.

All labels observed (36)

Label Occurrences
hasMathematicalForm 56
appearsInEquation 37
usesMathematics 20

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: mathematicallyUses
Generated description
Indicates that one entity employs or applies another entity within a mathematical context, such as in a formula, proof, computation, or theoretical framework.

Sample triples (300)

Subject Object
textbook "Quantum Electronics"
surface form: Quantum Electronics
rate equations via predicate surface "containsMathematics"
double-slit experiment superposition of two coherent waves via predicate surface "mathematicalDescription"
double-slit experiment interference term proportional to cosine of phase difference via predicate surface "mathematicalDescription"
RMM1 empirical orthogonal function analysis via predicate surface "computedUsing"
HITS algorithm spectral graph theory via predicate surface "mathematicalFoundation"
HITS algorithm linear algebra via predicate surface "mathematicalFoundation"
Fibonacci search Fibonacci sequence via predicate surface "usesMathematicalConcept"
surface form: Fibonacci numbers
Fibonacci search properties of Fibonacci sequence indices via predicate surface "usesMathematicalConcept"
Ledoux criterion inequality involving temperature and composition gradients via predicate surface "hasMathematicalForm"
The Cosmographic Mystery tetrahedron via predicate surface "usesMathematicalObject"
The Cosmographic Mystery cube via predicate surface "usesMathematicalObject"
The Cosmographic Mystery octahedron via predicate surface "usesMathematicalObject"
The Cosmographic Mystery dodecahedron via predicate surface "usesMathematicalObject"
The Cosmographic Mystery icosahedron via predicate surface "usesMathematicalObject"
stress–energy tensor Einstein field equations via predicate surface "appearsInEquation"
stress–energy tensor conservation of energy–momentum equations via predicate surface "appearsInEquation"
Einstein–Yang–Mills equations G_{μν} = 8πG T^{YM}_{μν} via predicate surface "hasMathematicalForm"
Einstein–Yang–Mills equations D_{μ} F^{a μν} = 0 in curved spacetime via predicate surface "hasMathematicalForm"
Gutenberg–Richter law log10 N = a − bM via predicate surface "hasMathematicalForm"
Laspeyres formula L = (Σ p_t q_0) / (Σ p_0 q_0) via predicate surface "hasMathematicalForm"
Yukawa coupling dimensionless coupling constant in four spacetime dimensions via predicate surface "hasMathematicalForm"
Kramers degeneracy T^2 = -1 on half-integer spin states via predicate surface "mathematicallyExpressedAs"
Zhu Shijie counting rods via predicate surface "usedMathematicalTool"
Alain Badiou set theory via predicate surface "usesMathematics"
Alain Badiou Cantorian set theory via predicate surface "usesMathematics"
Alain Badiou forcing via predicate surface "usesMathematics"
Natural Policy Gradient information geometry via predicate surface "mathematicalFoundation"
Natural Policy Gradient Riemannian optimization via predicate surface "mathematicalFoundation"
Bianchi type cosmologies orthonormal frame formalism via predicate surface "hasMathematicalFramework"
Bianchi type cosmologies Hamiltonian formulation of cosmology via predicate surface "hasMathematicalFramework"
Shunya (void) placeholder in positional notation via predicate surface "roleInMathematics"
Shunya (void) number representing null quantity via predicate surface "roleInMathematics"
Hubble constant H₀
surface form: Hubble constant
v = H₀ d via predicate surface "appearsInEquation"
PMAC message authentication code
surface form: PMAC
finite field over block size via predicate surface "usesMathematicalStructure"
Verdet constant θ = V B L via predicate surface "appearsInEquation"
Langmuir adsorption isotherm θ = (K P) / (1 + K P) via predicate surface "hasMathematicalForm"
Langmuir adsorption isotherm θ = (K C) / (1 + K C) via predicate surface "hasMathematicalForm"
von Kármán constant u+ = (1/κ) ln y+ + B via predicate surface "appearsInEquation"
von Kármán constant U(z) = (u*/κ) ln(z/z0) for neutral atmospheric stratification via predicate surface "appearsInEquation"
Urbach tail exponential dependence of absorption coefficient on photon energy via predicate surface "hasMathematicalForm"
Hamming window w[n] = α − β cos(2πn/(N−1)) via predicate surface "hasMathematicalForm"
Schrödinger picture complex Hilbert space via predicate surface "usesMathematicalStructure"
Schrödinger picture self-adjoint operators for observables via predicate surface "usesMathematicalStructure"
Schrödinger picture unitary operators for time evolution via predicate surface "usesMathematicalStructure"
Debye relaxation complex permittivity epsilon(omega) = epsilon_infinity + (epsilon_s - epsilon_infinity) / (1 + i omega tau) via predicate surface "hasMathematicalForm"
Leontief production function Q(x) = min_i (x_i / a_i) via predicate surface "mathematicallyExpressedAs"
Rayleigh–Sommerfeld diffraction theory surface integral over aperture via predicate surface "hasMathematicalForm"
theory of unparticles quantum field theory with non-integer operator dimensions via predicate surface "hasMathematicalFramework"
Arrhenius equation ln k = ln A - E_a/(R T) via predicate surface "hasMathematicalForm"
Arrhenius equation for temperature dependence of reaction rates k = A · exp(−Ea / (R · T)) via predicate surface "hasMathematicalForm"