Returned 75 matches (100 formulae, 70 docs)
    Lookup 1.235 ms, Re-ranking 113.350 ms
    Found 6944 tuple postings, 3850 formulae, 2057 documents
[ formulas ] [ documents ] [ documents-by-formula ]

0 G π X ı H 0
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
0 H ı X π G 0
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
0 H i X π G 0
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
0 𝒜 ϕ ψ 𝒞 0
Doc 2
0.6769, 0.0000, 6.0000, 0.6769
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Sheaf_cohomology.html
0 H ı X π G 0.
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
1 K i G π H 1
Doc 3
0.6769, 0.0000, 5.0000, 4.0915
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Group_extension.html
0 H i X π G 0
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
1 K i G π H 1
Doc 3
0.6769, 0.0000, 5.0000, 4.0915
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Group_extension.html
0 R r - s X Y 0
Doc 4
0.6122, -2.0000, 7.0000, 0.6122
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Regular_category.html
0 B Y A 0
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
0 L M N 0
Doc 21
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Length_of_a_module.html
Doc 23
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Group_cohomology.html
0 B E A 0
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
0 U V W 0
Doc 8
0.5475, 0.0000, 6.0000, 1.0951
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Exterior_algebra.html
Doc 8
0.5475, 0.0000, 6.0000, 1.0951
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Exterior_algebra.html
0 A B C 0
Doc 6
0.5475, 0.0000, 6.0000, 2.7734
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Exact_category.html
Doc 6
0.5475, 0.0000, 6.0000, 2.7734
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Exact_category.html
Doc 7
0.5475, 0.0000, 6.0000, 2.3993
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Derived_functor.html
Doc 7
0.5475, 0.0000, 6.0000, 2.3993
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Derived_functor.html
Doc 11
0.5475, 0.0000, 6.0000, 0.8789
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Grothendieck_group.html
Doc 12
0.5475, 0.0000, 6.0000, 0.8084
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Hilbert_series_and_Hilbert_polynomial.html
Doc 13
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Vector_bundle.html
Doc 15
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Rank_of_an_abelian_group.html
Doc 17
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Homology_(mathematics).html
Doc 22
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Injective_object.html
0 A B P 0
Doc 16
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Projective_module.html
0 X Y Z 0
Doc 10
0.5475, 0.0000, 6.0000, 0.9259
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Derived_category.html
0 U M V 0
Doc 9
0.5475, 0.0000, 6.0000, 1.0303
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Tilting_theory.html
0 X E Y 0
Doc 20
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Stable_module_category.html
0 M 𝔥 𝔤 0
Doc 14
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Lie_algebra_cohomology.html
0 𝔞 𝔢 𝔤 0
Doc 3
0.6769, 0.0000, 5.0000, 4.0915
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Group_extension.html
0 X V 0.
Doc 19
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/K-space_(functional_analysis).html
0 F G H 0.
Doc 18
0.5475, 0.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Sheaf_of_modules.html
0 B E A 0.
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
0 K F Q 0.
Doc 25
0.5475, 0.0000, 5.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Sheaf_(mathematics).html
1 K G H 1
Doc 3
0.6769, 0.0000, 5.0000, 4.0915
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Group_extension.html
Doc 3
0.6769, 0.0000, 5.0000, 4.0915
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Group_extension.html
1 Γ G H 1.
Doc 24
0.5475, 0.0000, 5.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Fundamental_group.html
1 A H G 1
Doc 26
0.5475, 0.0000, 4.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Crossed_module.html
1 A E G 1
Doc 3
0.6769, 0.0000, 5.0000, 4.0915
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Group_extension.html
1 K G Q 1
Doc 27
0.5475, 0.0000, 4.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Small_cancellation_theory.html
1 N G Q 1.
Doc 3
0.6769, 0.0000, 5.0000, 4.0915
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Group_extension.html
1 Z H G 1
Doc 28
0.5475, 0.0000, 4.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/P-group_generation_algorithm.html
0 B E A 0
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
0 K X P 0.
Doc 30
0.5475, -1.0000, 6.0000, 1.0951
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Schanuel's_lemma.html
0 K 𝑓 F M 0
Doc 29
0.5475, -1.0000, 6.0000, 1.7233
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Dimension_theory_(algebra).html
1 K G H 1 ,
Doc 31
0.5475, -1.0000, 5.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Metacyclic_group.html
0 K X P 0 ,
Doc 30
0.5475, -1.0000, 6.0000, 1.0951
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Schanuel's_lemma.html
0 A 𝑓 B 𝑔 C 0
Doc 32
0.5475, -2.0000, 6.0000, 1.8924
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Exact_sequence.html
Doc 33
0.5475, -2.0000, 6.0000, 1.5778
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Module_homomorphism.html
0 𝑠𝑙 n 𝑔𝑙 n tr k 0
Doc 34
0.5475, -3.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Trace_(linear_algebra).html
0 A i B i C i 0
Doc 35
0.5475, -3.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Inverse_limit.html
0 A 𝑓 B 𝑔 C 0
Doc 7
0.5475, 0.0000, 6.0000, 2.3993
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Derived_functor.html
Doc 32
0.5475, -2.0000, 6.0000, 1.8924
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Exact_sequence.html
Doc 36
0.5475, -4.0000, 6.0000, 1.6827
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Homological_algebra.html
Doc 37
0.5475, -4.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Exact_C*-algebra.html
0 A 𝔪 𝑓 B 𝔪 𝑔 C 𝔪 0
Doc 33
0.5475, -2.0000, 6.0000, 1.5778
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Module_homomorphism.html
0 Z n K n 𝑑 B n + 1 0
Doc 38
0.5475, -6.0000, 6.0000, 0.5475
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Grothendieck_spectral_sequence.html
0 K M 𝑓 N C 0
Doc 33
0.5475, -2.0000, 6.0000, 1.5778
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Module_homomorphism.html
0 E n E 0 F 0
Doc 39
0.4828, -5.0000, 5.0000, 0.9272
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:Divisor_(algebraic_geometry).html
F j F 0 M 0
Doc 40
0.4828, -5.0000, 5.0000, 0.4828
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Castelnuovo–Mumford_regularity.html
0 A T 1 T n 0
Doc 9
0.5475, 0.0000, 6.0000, 1.0303
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Tilting_theory.html
0 H i G π G / H 0
Doc 41
0.4828, -5.0000, 4.0000, 0.4828
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Direct_sum_of_topological_groups.html
0 ı π / 0
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
0 B X n X 1 A 0
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
ξ : 0 B X n X 1 A 0
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
ξ : 0 B X n X 1 A 0
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
0 L L P 0
Doc 42
0.4444, -2.0000, 6.0000, 0.8889
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Glossary_of_module_theory.html
0 I L L 0
Doc 42
0.4444, -2.0000, 6.0000, 0.8889
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Glossary_of_module_theory.html
0 𝒪 𝒪 * 0
Doc 43
0.4444, -2.0000, 6.0000, 0.4444
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Complex_geometry.html
1 N G G 1
Doc 44
0.4444, -2.0000, 4.0000, 0.4444
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Complete_group.html
0 E n E 0 0
Doc 39
0.4828, -5.0000, 5.0000, 0.9272
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:Divisor_(algebraic_geometry).html
0 P 1 P 0 M 0
Doc 29
0.5475, -1.0000, 6.0000, 1.7233
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Dimension_theory_(algebra).html
1 A G ~ 0 G 0 1
Doc 45
0.4444, -4.0000, 4.0000, 0.4444
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Compact_group.html
0 C k A k C k + 1 0
Doc 32
0.5475, -2.0000, 6.0000, 1.8924
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Exact_sequence.html
0 G p + 1 G p K p , * 0
Doc 46
0.4444, -8.0000, 7.0000, 0.4444
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:Exact_couple.html
0 E 2 1 , 0 H 1 E 0 , 1 0
Doc 47
0.4444, -10.0000, 6.0000, 1.7778
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Spectral_sequence.html
0 E 0 , n 2 H n E 1 , n - 1 2 0
Doc 47
0.4444, -10.0000, 6.0000, 1.7778
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Spectral_sequence.html
0 E p - 1 , 1 H p E p , 0 0
Doc 47
0.4444, -10.0000, 6.0000, 1.7778
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Spectral_sequence.html
0 E 0 , q H q E n , q - n 0.
Doc 47
0.4444, -10.0000, 6.0000, 1.7778
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Spectral_sequence.html
X Y Z X Y
Doc 48
0.4179, -2.0000, 4.0000, 0.5918
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Triangulated_category.html
0 M x 1 M M 1 0
Doc 29
0.5475, -1.0000, 6.0000, 1.7233
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Dimension_theory_(algebra).html
0 R d 2 R 2 d 1 R 0 ,
Doc 49
0.4000, -7.0000, 6.0000, 0.4000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Koszul_complex.html
0 B I 0 I 1 ,
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
Doc 36
0.5475, -4.0000, 6.0000, 1.6827
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Homological_algebra.html
0 X I 0 I 1 ,
Doc 10
0.5475, 0.0000, 6.0000, 0.9259
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Derived_category.html
P 1 P 0 A 0 ,
Doc 5
0.5475, 0.0000, 6.0000, 6.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Ext_functor.html
Doc 36
0.5475, -4.0000, 6.0000, 1.6827
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Homological_algebra.html
P 2 P 1 P 0 A 0
Doc 36
0.5475, -4.0000, 6.0000, 1.6827
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Homological_algebra.html
Doc 50
0.3784, -7.0000, 5.0000, 0.3784
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Tor_functor.html
P 2 P 1 P 0 X 0
Doc 7
0.5475, 0.0000, 6.0000, 2.3993
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Derived_functor.html
0 X I 0 I 1 I 2
Doc 7
0.5475, 0.0000, 6.0000, 2.3993
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Derived_functor.html
0 K 0 K 1 K n 0
Doc 51
0.3784, -7.0000, 5.0000, 0.3784
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Proper_base_change_theorem.html
0 I R R / I 0
Doc 52
0.3529, -5.0000, 4.0000, 0.6843
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Tensor_product_of_modules.html
1 N G G / N 1
Doc 32
0.5475, -2.0000, 6.0000, 1.8924
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Exact_sequence.html
0 / 0 ,
Doc 6
0.5475, 0.0000, 6.0000, 2.7734
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Exact_category.html
0 M 𝑓 M M 1 0
Doc 29
0.5475, -1.0000, 6.0000, 1.7233
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Dimension_theory_(algebra).html
0 M M M ′′ 0
Doc 6
0.5475, 0.0000, 6.0000, 2.7734
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Exact_category.html
Doc 6
0.5475, 0.0000, 6.0000, 2.7734
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Exact_category.html
Doc 53
0.3314, -4.0000, 6.0000, 0.9941
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Ring_(mathematics).html
Doc 53
0.3314, -4.0000, 6.0000, 0.9941
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Ring_(mathematics).html
Doc 54
0.3314, -4.0000, 6.0000, 0.6627
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Abelian_category.html
Doc 54
0.3314, -4.0000, 6.0000, 0.6627
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Abelian_category.html
Doc 55
0.3314, -4.0000, 6.0000, 0.6627
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Delta-functor.html
Doc 55
0.3314, -4.0000, 6.0000, 0.6627
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Delta-functor.html
Doc 56
0.3314, -4.0000, 6.0000, 0.3314
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Subcategory.html
Doc 58
0.3314, -4.0000, 6.0000, 0.3314
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Support_of_a_module.html
Doc 60
0.3314, -4.0000, 6.0000, 0.3314
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Q-construction.html
Doc 61
0.3314, -4.0000, 6.0000, 0.3314
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Semi-simplicity.html
0 E E E ′′ 0
Doc 59
0.3314, -4.0000, 6.0000, 0.3314
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Chern_class.html
0 A A A ′′ 0
Doc 57
0.3314, -4.0000, 6.0000, 0.3314
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Localizing_subcategory.html
0 V V V ′′ 0 ,
Doc 63
0.3314, -5.0000, 6.0000, 0.3314
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Algebraic_K-theory.html
0 k l k m k n 0
Doc 11
0.5475, 0.0000, 6.0000, 0.8789
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Grothendieck_group.html
0 M 1 M 2 M 3 0
Doc 62
0.3314, -5.0000, 6.0000, 0.3314
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Gabriel–Popescu_theorem.html
0 M 𝑓 M M ′′ 0 ,
Doc 6
0.5475, 0.0000, 6.0000, 2.7734
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Exact_category.html
0 N 𝑓 N 𝑔 N ′′ 0
Doc 52
0.3529, -5.0000, 4.0000, 0.6843
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Tensor_product_of_modules.html
0 M 𝔪 M 𝔪 M 𝔪 ′′ 0
Doc 53
0.3314, -4.0000, 6.0000, 0.9941
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Ring_(mathematics).html
0 H i H H × G π G G 0
Doc 1
1.0000, 0.0000, 16.0000, 7.2295
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Extension_of_a_topological_group.html
0 ( 1 2 ) 2 ( - 2 , 1 ) 0 ,
Doc 6
0.5475, 0.0000, 6.0000, 2.7734
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Exact_category.html
{ 1 } G o G Γ { 1 }
Doc 64
0.3117, -6.0000, 5.0000, 0.6234
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Complexification_(Lie_group).html
B = 0 B 0 0 ,
Doc 65
0.3117, -7.0000, 4.0000, 0.6234
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Mapping_cone_(homological_algebra).html
A = 0 A 0 0 ,
Doc 65
0.3117, -7.0000, 4.0000, 0.6234
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Mapping_cone_(homological_algebra).html
{ 1 } ( G o ) 𝐂 G 𝐂 Γ { 1 }
Doc 64
0.3117, -6.0000, 5.0000, 0.6234
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Complexification_(Lie_group).html
0 𝑝 / p 0
Doc 66
0.2609, -6.0000, 4.0000, 0.2609
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Bockstein_spectral_sequence.html
0 R m R n R R / I 0
Doc 67
0.2609, -9.0000, 5.0000, 0.2609
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Hilbert–Burch_theorem.html
0 A [ d ] 𝑓 A A / f 0 ,
Doc 12
0.5475, 0.0000, 6.0000, 0.8084
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Hilbert_series_and_Hilbert_polynomial.html
X i d X 0
Doc 68
0.2439, -3.0000, 4.0000, 0.2439
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Homotopy_category_of_chain_complexes.html
H G G / H .
Doc 69
0.2222, -4.0000, 2.0000, 0.2222
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Klein_geometry.html
X id X 0
Doc 48
0.4179, -2.0000, 4.0000, 0.5918
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Triangulated_category.html
X 0 X X 1
Doc 70
0.1739, -6.0000, 4.0000, 0.1739
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/T-structure.html