Returned 56 matches (100 formulae, 117 docs)
    Lookup 91.915 ms, Re-ranking 0.035 ms
    Found 184845 tuple postings, 84551 formulae, 14655 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
0.3750
2.6734
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Peano_axioms.html
x , y N
x , y N
x , y N
x , y , z N
x , y , z N
x , y , z N
x , y , z N
x , y , z N
x , y , z N
Doc 2
0.3750
0.6417
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Symmetry_of_diatomic_molecules.html
x , y G
x , y G

Doc 3
0.3750
0.5958
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Glossary_of_Lie_algebras.html
x , y A
κ ( x , y ) := Tr ( ad x ad y ) x , y 𝔤

Doc 4
0.3750
0.5928
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Clebsch–Gordan_coefficients_for_SU(3).html
x , y G
x , y G , x * y

Doc 5
0.3621
0.3621
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Strong_antichain.html
x , y A [ x y ¬ z X [ z x z y ] ] .

Doc 6
0.3488
0.6977
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Alternatization.html
x , y S ,
x , y V ,

Doc 7
0.3273
0.9818
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Universal_hashing.html
x , y U , x y
x , y U , x y
x , y U , x y
Doc 8
0.3205
0.5942
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Pseudo-order.html
x , y : ¬ ( x < y y < x )
x , y : ¬ ( x < y y < x ) x = y

Doc 9
0.2917
0.2917
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Normed_algebra.html
x , y A x y x y

Doc 10
0.2748
0.2748
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Ideal_(ring_theory).html
x , y I : x - y I

Doc 11
0.2667
1.5373
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Artin_transfer_(group_theory).html
x , y G
x , y G
x , y G
x , y G
x p , y p G
x p 2 , y p G
Doc 12
0.2667
0.8000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Causal_fermion_system.html
x , y M
x , y M
x , y
Doc 13
0.2667
0.8000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Discrete_space.html
x , y E
x , y S
x , y X
Doc 14
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Compact_quantum_group.html
x , y G
x , y G

Doc 15
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Partially_ordered_space.html
x , y X
x , y X

Doc 16
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/CAT(k)_space.html
x , y X
x , y X

Doc 17
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Models_of_DNA_evolution.html
x , y
x , y

Doc 18
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Cauchy_product.html
x , y
x , y

Doc 19
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Causal_sets.html
x , y C
x , y C

Doc 20
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Metric_space.html
x , y M
x , y M

Doc 21
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Skew_lattice.html
x , y A
x , y S

Doc 22
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Near_sets.html
x , y A
x , y X

Doc 23
0.2667
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Reproducing_kernel_Hilbert_space.html
x , y X
x , y X

Doc 24
0.2667
0.5241
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Tarski's_theorem_about_choice.html
x , y B
x , y B , x y

Doc 25
0.2667
0.5167
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Uniformly_smooth_space.html
x , y X
x , y S X

Doc 26
0.2667
0.5167
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Isomorphism.html
x , y
x , y +

Doc 27
0.2667
0.4817
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Infrastructure_(number_theory).html
x , y X
x , y f R e p

Doc 28
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Bogoliubov_causality_condition.html
x , y M

Doc 29
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Unitary_group.html
x , y M

Doc 30
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Spacetime_topology.html
x , y M

Doc 31
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Discrete_valuation.html
x , y K

Doc 32
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Quotient_space_(topology).html
x , y X

Doc 33
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Fermat's_Last_Theorem.html
x , y

Doc 34
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Complex_analysis.html
x , y

Doc 35
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Quasinorm.html
x , y A

Doc 36
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Utility.html
x , y X

Doc 37
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Index_set_(recursion_theory).html
x , y

Doc 38
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Divided_power_structure.html
x , y I

Doc 39
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Construction_of_the_real_numbers.html
x , y 𝐐

Doc 40
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Metric_map.html
x , y X

Doc 41
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Adjoint_representation.html
x , y 𝔤

Doc 42
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Nakamura_number.html
x , y X

Doc 43
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Boehmians.html
x , y X

Doc 44
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Talagrand's_concentration_inequality.html
x , y Ω

Doc 45
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Differential_algebra.html
x , y A

Doc 46
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Kolmogorov_equations_(Markov_jump_process).html
x , y Ω

Doc 47
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Maximal_element.html
x , y X

Doc 48
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Packing_in_a_hypergraph.html
x , y V

Doc 49
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Affine_monoid.html
x , y M

Doc 50
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Heap_(mathematics).html
x , y X

Doc 51
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Pairing_function.html
x , y

Doc 52
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Yang–Baxter_equation.html
x , y V

Doc 53
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Locally_connected_space.html
x , y X

Doc 54
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Jensen's_inequality.html
x , y T

Doc 55
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Bose–Mesner_algebra.html
x , y X

Doc 56
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Quasiconvex_function.html
x , y S

Doc 57
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Bitopological_space.html
x , y X

Doc 58
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Prewellordering.html
x , y X

Doc 59
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Equivalence_of_metrics.html
x , y X

Doc 60
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Tutte_polynomial.html
x , y

Doc 61
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Commutative_non-associative_magmas.html
x , y M

Doc 62
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/István_Fenyő.html
x , y

Doc 63
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Indefinite_inner_product_space.html
x , y K

Doc 64
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Antilinear_map.html
x , y V

Doc 65
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Causality_conditions.html
x , y M

Doc 66
0.2667
0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Ring_(mathematics).html
x , y R

Doc 67
0.2569
0.7336
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Implementation_of_mathematics_in_set_theory.html
x , y , z ( x F y x F z y = z )
x , y , z ( x R y y R z x R z )
x , y ( x R y y R x )
Doc 68
0.2537
0.2537
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Triangle_inequality.html
x + y x + y x , y V

Doc 69
0.2532
0.2532
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Permanent.html
x j , y j H

Doc 70
0.2500
0.8964
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Total_order.html
x , y A 1
x , y A 2
x , y A 1 A 2
x , y i I A i

Doc 71
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Subadditivity.html
x , y 0

Doc 72
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Primary_ideal.html
x , y 𝔮

Doc 73
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Stufe_(algebra).html
x , y 𝔽 p

Doc 74
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Cayley–Purser_algorithm.html
x , y n

Doc 75
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Trace_monoid.html
x , y Σ *

Doc 76
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/John's_equation.html
x , y n

Doc 77
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Voter_model.html
x , y Z d

Doc 78
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Inequality_(mathematics).html
x , y n

Doc 79
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Markov_partition.html
x , y E i

Doc 80
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Markov_switching_multifractal.html
x , y R d

Doc 81
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Schur-convex_function.html
x , y d

Doc 82
0.2500
0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/ACE_Encrypt.html
x , y A

Doc 83
0.2488
0.2488
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/ST_type_theory.html
x , y [ x y [ x R y y R x ] ]

Doc 84
0.2439
0.4381
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Let_expression.html
x = y and ( L z ) [ x := y ]
( λ x . z ) y = z [ x := y ]

Doc 85
0.2340
0.7021
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Plotkin_bound.html
x , y C d ( x , y )
x , y C d ( x , y )
x , y C d ( x , y )
Doc 86
0.2326
0.4651
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Quadratic_reciprocity.html
f , g F [ x ]
f , g F [ x ]

Doc 87
0.2326
0.4651
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Cellular_algebra.html
x , y W ( λ )
x , y W ( λ )

Doc 88
0.2326
0.2326
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Graph_amalgamation.html
x , y V ( G )

Doc 89
0.2326
0.2326
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Imaginary_hyperelliptic_curve.html
u , v K [ x ]

Doc 90
0.2326
0.2326
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Axiom_of_power_set.html
x , y X Y

Doc 91
0.2290
0.2290
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Banach_space.html
x , y H : y , x

Doc 92
0.2265
0.2265
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Syntactic_monoid.html
u S v x , y M ( x u y S x v y S ) .

Doc 93
0.2250
0.2250
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Hopf_invariant.html
x y S 2

Doc 94
0.2174
0.2174
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Example_of_a_game_without_a_value.html
x , y [ 0 , 1 ]

Doc 95
0.2174
0.2174
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Wonderland_model.html
x , y [ 0 , )

Doc 96
0.2128
0.2128
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Factorization_of_polynomials_over_finite_fields.html
x q i - x 𝐅 q [ x ]

Doc 97
0.2062
0.2062
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Hadamard_code.html
x , y { 0 , 1 } k

Doc 98
0.2041
0.4082
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Controlled_grammar.html
x , y ( N T ) *
x , y ( N T ) *

Doc 99
0.2027
0.2027
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Lambda_calculus_definition.html
x z M [ x := y ] [ z ] = M [ z ]

Doc 100
0.2025
0.2025
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Banach_algebra.html
x , y A : x y x y

Doc 101
0.2020
0.2020
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Interval_arithmetic.html
x , y [ - 1 , 1 ]

Doc 102
0.2018
0.2018
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Skolem_normal_form.html
x y . R ( x , y )

Doc 103
0.2000
0.2000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Construction_Irreducible_Markov_Chain_in_Ising_Model.html
x , y S ( a , b )

Doc 104
0.1985
0.1985
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Sahlqvist_formula.html
x y [ R x y R y x ]

Doc 105
0.1982
0.1982
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/C-minimal_theory.html
x y [ x y z y C ( x ; y z ) ] .

Doc 106
0.1980
0.7921
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Direct_product.html
{ ( x , y ) | x , y }
{ ( x , y ) | x , y }
{ ( x , y ) | x , y }
{ ( x , y ) | x , y }

Doc 107
0.1980
0.1980
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Boolean_algebra.html
x y = ¬ ( x y )

Doc 108
0.1980
0.1980
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Lie_groupoid.html
g G , x , y M

Doc 109
0.1980
0.1980
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Satisfiability_modulo_theories.html
b 𝔹 , x , y

Doc 110
0.1980
0.1980
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Machine_epsilon.html
x y = round ( x y )

Doc 111
0.1963
0.3926
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Zermelo–Fraenkel_set_theory.html
x y z ( x z y z ) .
x y z [ z x z y ] .

Doc 112
0.1942
0.3883
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Director_string.html
( λ x . E ) y E [ x / y ]
( λ x . E ) y E [ x := y ]

Doc 113
0.1913
0.1913
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Bijection,_injection_and_surjection.html
x , y A , x y f ( x ) f ( y ) .

Doc 114
0.1880
0.1880
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Mean_field_particle_methods.html
M = ( M ( x , y ) ) x , y S

Doc 115
0.1864
0.1864
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Nonlinear_dimensionality_reduction.html
k ( x , y ) 0 x , y , k

Doc 116
0.1860
0.5581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Partially_ordered_ring.html
x , y , z A
x , y , z A
x , y , z A
Doc 117
0.1860
0.1860
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Axiom_schema_of_predicative_separation.html
x y ψ ( x )