reducesTo

P3630
predicate

Indicates that one expression, structure, or state can be transformed or simplified into another, typically more basic or canonical, form.

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All labels observed (8)

Label Occurrences
reducesTo canonical 64
reductionType 5
usesReductionType 3

Sample triples (78)

Subject Object
theory of relativity Newtonian mechanics at low velocities ⓘ
Bose–Einstein statistics Maxwell–Boltzmann statistics in classical limit ⓘ
Einstein field equations Newtonian gravity in the weak-field limit ⓘ
Fermi–Dirac statistics Maxwell–Boltzmann statistics at high temperature and low density ⓘ
Planck radiation law Rayleigh–Jeans law at low frequencies ⓘ
Planck radiation law Wien approximation at high frequencies ⓘ
Lorentz transformation Galilean transformation in the limit of low velocities ⓘ
Rényi entropy Shannon entropy when α → 1 ⓘ
Tsallis entropy Shannon entropy when q → 1 ⓘ
Eliashberg theory BCS theory in weak-coupling limit ⓘ
Kerr metric Schwarzschild metric when spin parameter a = 0 ⓘ
Reissner–Nordström metric Schwarzschild metric when Q = 0 ⓘ
Bardeen black hole model Schwarzschild black hole for vanishing charge ⓘ
Kerr–Newman black hole Kerr black hole when charge is zero ⓘ
Kerr–Newman black hole Reissner–Nordström black hole when angular momentum is zero ⓘ
Kerr–Newman black hole Schwarzschild black hole ⓘ
surface form: Schwarzschild black hole when charge and angular momentum are zero
Riemann–Liouville integral n-fold classical integral when α is a positive integer n ⓘ
Ricci scalar twice the Gaussian curvature in 2-dimensional Riemannian manifolds (up to conventions) ⓘ
Klein–Nishina formula Thomson cross section in the low‑energy limit ⓘ
Yukawa potential Coulomb potential when mediator mass goes to zero ⓘ
Lemaître–Tolman metric FLRW metric under spatial homogeneity ⓘ
Pauli equation Schrödinger equation ⓘ
surface form: Schrödinger equation in absence of spin
Pauli equation Schrödinger equation when magnetic field is zero ⓘ
Successive Over-Relaxation Gauss–Seidel method when ω = 1 ⓘ
Hamiltonian (time translation generator) classical Hamiltonian in ℏ → 0 limit ⓘ
HOMFLY-PT polynomial Alexander polynomial under specialization ⓘ
HOMFLY-PT polynomial Jones polynomial under specialization ⓘ
NP-completeness polynomial-time many-one reduction via predicate surface "usesReductionType" ⓘ
NP-completeness Karp reduction via predicate surface "usesReductionType" ⓘ
Jacobi bracket Poisson bracket when the Jacobi structure is exact ⓘ
Born–Infeld electrodynamics Maxwell electrodynamics in the weak-field limit ⓘ
Ayón-Beato–García regular black hole solutions Reissner–Nordström black hole in weak-field limit ⓘ
Tsallis divergence Kullback–Leibler divergence when q → 1 ⓘ
Riemann–Stieltjes integral Riemann integral when integrator is identity function ⓘ
Riemann–Stieltjes integral Riemann integral when integrator is x ↦ x ⓘ
Potts model Ising model when q = 2 ⓘ
Valiant–Vazirani theorem randomized polynomial-time reduction via predicate surface "reductionType" ⓘ
XXZ spin chain XX spin chain ⓘ
XXZ spin chain XXX Heisenberg spin chain ⓘ
Moyal bracket Poisson bracket in the classical limit ⓘ
LTB metric FLRW metric for homogeneous density and curvature ⓘ
t-J model Heisenberg model at half-filling ⓘ
Timoshenko beam theory Euler–Bernoulli beam theory for slender beams with small shear effects NERFINISHED ⓘ
Proca equation Maxwell equations in the zero-mass limit ⓘ
Dirac Hamiltonian Pauli Hamiltonian in the nonrelativistic limit ⓘ
Dirac Hamiltonian Schrödinger Hamiltonian in appropriate limit ⓘ
NP-hardness polynomial-time many-one reduction via predicate surface "reductionType" ⓘ
NP-hardness polynomial-time Turing reduction via predicate surface "reductionType" ⓘ
Cook–Levin theorem polynomial-time many-one reduction via predicate surface "usesReductionType" ⓘ
Max-3-SAT 3-SAT via predicate surface "hasReductionFrom" NERFINISHED ⓘ