Returned 60 matches (100 formulae, 91 docs)
    Lookup 0.998 ms, Re-ranking 0.166 ms
    Found 1653 tuple postings, 1347 formulae, 760 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
1.0000
3.1485
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Extended_periodic_table.html
U 92 238 + 28 64 Ni 120 302 Ubn * 𝑓𝑖𝑠𝑠𝑖𝑜𝑛 𝑜𝑛𝑙𝑦
Pu 94 244 + 26 58 Fe 120 302 Ubn * 𝑓𝑖𝑠𝑠𝑖𝑜𝑛 𝑜𝑛𝑙𝑦
U 92 238 + 28 n a t Ni 296 , 298 , 299 , 300 , 302 Ubn * 𝑓𝑖𝑠𝑠𝑖𝑜𝑛 .
Cm 96 248 + 24 54 Cr 120 302 Ubn *
U 92 238 + 30 66 Zn 122 304 Ubb * no atoms .
U 92 238 + 30 70 Zn 122 308 Ubb * no atoms .
Cf 98 249 + 22 50 Ti 120 299 Ubn *
Es 99 254 + 20 48 Ca 119 302 Uue *
U 92 238 + 32 n a t Ge 308 , 310 , 311 , 312 , 314 Ubq * f i s s i o n .
Ta 73 n a t + 54 136 Xe 316 , 317 Ubs * no atoms .
Er 68 n a t + 54 136 Xe 298 , 300 , 302 , 303 , 304 , 306 Ubb * no atoms .

Doc 2
1.0000
2.3054
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Unbinilium.html
U 92 238 + 28 64 Ni 120 302 Ubn * 𝑓𝑖𝑠𝑠𝑖𝑜𝑛 𝑜𝑛𝑙𝑦
Pu 94 244 + 26 58 Fe 120 302 Ubn * 𝑓𝑖𝑠𝑠𝑖𝑜𝑛 𝑜𝑛𝑙𝑦
U 92 238 + 28 n a t Ni 296 , 298 , 299 , 300 , 302 Ubn * 𝑓𝑖𝑠𝑠𝑖𝑜𝑛 .
Cm 96 248 + 24 54 Cr 120 302 Ubn *
Cf 98 249 + 22 50 Ti 120 299 Ubn *

Doc 3
0.1316
0.1316
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Ununennium.html
Es 99 254 + 20 48 Ca 119 302 Uue *

Doc 4
0.0972
0.1700
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Einsteinium.html
Es 99 254 + 20 48 Ca 119 302 Uue * n o a t o m s
U 92 238 + 6 ( n , γ ) - 2 β - 94 244 Pu
U 92 238 + 15 n 6 β - 98 253 Cf β - 99 253 Es
Doc 5
0.0971
0.0971
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Isotopes_of_rutherfordium.html
U 92 238 + 12 24 Mg 104 259 Rf + 3 0 1 n

Doc 6
0.0968
0.2449
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Rydberg_atom.html
A + γ A *
A + + B A * + B +
e - + A A * + e -
Doc 7
0.0936
0.0936
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Traveling_wave_reactor.html
U 92 238 + 0 1 n 92 239 U 93 239 Np + β 94 239 Pu + β

Doc 8
0.0845
0.1967
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Greisen–Zatsepin–Kuzmin_limit.html
ν + ν ¯ Z hadrons
γ CMB + p Δ + n + π + .
γ CMB + p Δ + p + π 0 ,
Doc 9
0.0833
0.0833
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Uranium.html
U 92 238 + n U 92 239 + γ β - Np 93 239 β - Pu 94 239

Doc 10
0.0822
0.0822
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Nuclear_forensics.html
A + n B * + γ

Doc 11
0.0723
0.1446
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Exterior_algebra.html
0 U V W 0
0 U V W 0

Doc 12
0.0723
0.0723
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Tilting_theory.html
0 U M V 0

Doc 13
0.0635
0.0635
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Regular_embedding.html
U 𝑗 V 𝑔 Y

Doc 14
0.0615
0.1149
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Alpha_decay.html
U 92 238 Th 90 234 + α
U 92 238 Th 90 234 + He 2 4

Doc 15
0.0606
0.0606
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Scintillator.html
T 0 + T 0 S * + S 0 + phonons

Doc 16
0.0582
0.1132
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Actinide.html
U 92 238 + n 0 1 U 92 239 β - 23.5 min Np 93 239 β - 2.3 days Pu 94 239 2.4 10 4 years 𝛼
U 92 238 + Ne 10 22 No 102 256 + 4 n 0 1

Doc 17
0.0571
0.0949
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Kostant's_convexity_theorem.html
M 𝔨 * 𝔱 * .
M 𝔱 *

Doc 18
0.0519
0.0519
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Light-front_quantization_applications.html
π + W * μ + ν μ

Doc 19
0.0497
0.0940
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Thorium_fuel_cycle.html
n + Th 90 232 Th 90 233 β - Pa 91 233 β - U 92 233
n + Th 90 232 Th 90 233 β - Pa 91 233 β - U 92 233 + n U 92 232 + 2 n

Doc 20
0.0444
0.0444
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Alpha_process.html
Ni 28 56 + He 2 4 + γ Zn 30 60

Doc 21
0.0444
0.0444
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Complex_geometry.html
0 𝒪 𝒪 * 0

Doc 22
0.0423
0.0423
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Neptunium.html
U 92 235 + 0 1 n 92 236 U m 120 ns 92 236 U + γ

Doc 23
0.0417
0.0417
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Thorium.html
Th 90 232 + n Th 90 233 + γ β - Pa 91 233 β - U 92 233

Doc 24
0.0408
0.0408
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Electron-capture_dissociation.html
[ M + n H ] n + + e - [ [ M + n H ] ( n - 1 ) + ] * f r a g m e n t s

Doc 25
0.0400
0.1600
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Zassenhaus_algorithm.html
U + W
U + W
U + W
U + W

Doc 26
0.0400
0.0400
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Linear_subspace.html
U + W

Doc 27
0.0400
0.0400
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Nickel_superoxide_dismutase.html
2 O 2 - + Ni ( III ) SOD Ni ( II ) SOD + O 2

Doc 28
0.0400
0.0400
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Chow's_lemma.html
U Γ ϕ U × S P X × S P

Doc 29
0.0400
0.0400
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Fermium.html
U 92 238 + 15 n , 7 β - 99 253 Es

Doc 30
0.0396
0.0396
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Sequence_space.html
q κ q ( p ) * ( κ q * ) - 1

Doc 31
0.0392
0.0392
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Combustion.html
fuel + oxygen + nitrogen water + carbon dioxide + nitrogen

Doc 32
0.0392
0.0392
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Quotient_space_(linear_algebra).html
0 U V V / U 0.

Doc 33
0.0388
0.0388
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Ion_source.html
M + X + + A M X + + A

Doc 34
0.0388
0.0388
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Ion-attachment_mass_spectrometry.html
M + X + + A M X + + A

Doc 35
0.0385
0.0385
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Trace_(linear_algebra).html
1 𝑆𝐿 n 𝐺𝐿 n det K * 1

Doc 36
0.0377
0.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Template:Table_of_thermodynamic_potentials.html
U + p V

Doc 37
0.0377
0.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Boomerang_attack.html
Δ Δ *

Doc 38
0.0377
0.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Ideal_gas.html
U + P V

Doc 39
0.0377
0.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Painlevé_conjecture.html
t t *

Doc 40
0.0377
0.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Degenerate_bilinear_form.html
V V *

Doc 41
0.0377
0.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Sobolev_spaces_for_planar_domains.html
U + i V

Doc 42
0.0377
0.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Differential_inclusion.html
t t *

Doc 43
0.0377
0.0377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Einstein_notation.html
V V *

Doc 44
0.0370
0.0721
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Duality_(mathematics).html
W * V *
V V * *

Doc 45
0.0370
0.0370
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Lithium-ion_battery.html
Li + + e - + LiCoO 2 Li 2 O + CoO

Doc 46
0.0370
0.0370
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Relative_dimension.html
W * V *

Doc 47
0.0370
0.0370
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Karush–Kuhn–Tucker_conditions.html
x k x *

Doc 48
0.0370
0.0370
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Kronecker_delta.html
V * V *

Doc 49
0.0370
0.0370
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Scoring_algorithm.html
θ m θ *

Doc 50
0.0370
0.0370
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Cartan_pair.html
𝔤 * 𝔨 *

Doc 51
0.0364
0.0727
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Stochastic_programming.html
ϑ ^ N ϑ *
ϑ ^ N ϑ *

Doc 52
0.0364
0.0364
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Tandem_mass_spectrometry.html
[ M + n H ] n + + e - [ [ M + ( n - 1 ) H ] ( n - 1 ) + ] * f r a g m e n t s

Doc 53
0.0364
0.0364
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Isomorphism.html
V V *

Doc 54
0.0357
0.0357
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Cross_product.html
V V * ,

Doc 55
0.0351
0.1404
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Alpha_helix.html
i + 3 i
i + 4 i
i + 4 i
i + 5 i

Doc 56
0.0351
0.0702
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Rate_equation.html
A + R C
A B C

Doc 57
0.0351
0.0702
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Kind_(type_theory).html
* * *
* * *

Doc 58
0.0351
0.0702
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Simply_typed_lambda_calculus.html
a b a
σ τ ρ

Doc 59
0.0351
0.0702
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Place-permutation_action.html
1 3 1
1 3 1

Doc 60
0.0351
0.0702
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Connection_(composite_bundle).html
Y Σ X
Y Σ X

Doc 61
0.0351
0.0702
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Indexed_grammar.html
U [ ] ϵ
U [ ] ϵ

Doc 62
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Closed_immersion.html
Z Y X

Doc 63
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Zariski's_main_theorem.html
X Z Y

Doc 64
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Proper_morphism.html
X Z Y

Doc 65
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Crossed_module.html
F E B

Doc 66
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Power_of_two.html
2 n 1

Doc 67
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Rewriting.html
- 1

Doc 68
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Receptor–ligand_kinetics.html
R + L RL

Doc 69
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Eckmann–Hilton_duality.html
F E B

Doc 70
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/System_F.html
𝖡𝗈𝗈𝗅𝖾𝖺𝗇 𝖡𝗈𝗈𝗅𝖾𝖺𝗇 𝖡𝗈𝗈𝗅𝖾𝖺𝗇

Doc 71
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Currying.html
X Y Z

Doc 72
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Tetration.html
a n 2

Doc 73
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Material_conditional.html
a b c

Doc 74
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Steady_state_(chemistry).html
A B C

Doc 75
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Abstract_rewriting_system.html
- 1

Doc 76
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Capital,_Volume_I.html
C M C

Doc 77
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Arcsine_distribution.html
sin ( U + V )

Doc 78
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:Exact_couple.html
F E B

Doc 79
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Spectral_sequence.html
F E B

Doc 80
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Beck's_monadicity_theorem.html
U : C D

Doc 81
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Hom_functor.html
U : C 𝐒𝐞𝐭

Doc 82
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Petersen_matrix.html
A + B S

Doc 83
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Arbitrarily_varying_channel.html
U : X S

Doc 84
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Binding_constant.html
R + L RL

Doc 85
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Q-construction.html
* Y Y

Doc 86
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Causality.html
X Y Z

Doc 87
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Free_object.html
U : 𝐂 𝐒𝐞𝐭

Doc 88
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Z_N_model.html
s r s r *

Doc 89
0.0351
0.0351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bayesian_network.html
X Y Z

Doc 90
0.0345
0.0345
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Exact_category.html
M M N

Doc 91
0.0345
0.0345
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Mandelbrot_set.html
z 2 + c z