Returned 81 matches (100 formulae, 90 docs)
    Lookup 191.089 ms, Re-ranking 1238.624 ms
    Found 619909 tuple postings, 183019 formulae, 22250 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
0.8575
1.3350
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Delay_spread.html
τ rms = 0 ( τ - τ ¯ ) 2 A c ( τ ) d τ 0 A c ( τ ) d τ
τ ¯ = 0 τ A c ( τ ) d τ 0 A c ( τ ) d τ

Doc 2
0.5677
0.5677
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Luminous_efficacy.html
0 y λ J λ d λ 0 J λ d λ ,

Doc 3
0.5432
1.0706
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/AB_magnitude.html
λ piv = e ( λ ) d λ e ( λ ) λ - 2 d λ
λ piv = e ( λ ) λ d λ e ( λ ) λ - 1 d λ

Doc 4
0.4811
0.4811
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Kirchhoff's_law_of_thermal_radiation.html
α sun = 0 α λ I λ sun ( λ ) d λ 0 I λ sun ( λ ) d λ

Doc 5
0.4695
0.4695
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Opacity_(optics).html
1 κ = 0 κ ν - 1 u ( ν , T ) d ν 0 u ( ν , T ) d ν

Doc 6
0.4082
0.4082
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Centroid.html
C = x g ( x ) d x g ( x ) d x

Doc 7
0.3816
0.3816
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Weight_function.html
Ω f ( x ) w ( x ) d x Ω w ( x ) d x

Doc 8
0.3669
0.3669
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Fresnel_zone.html
F n = n λ d 1 d 2 d 1 + d 2

Doc 9
0.3598
0.3598
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Equations_for_a_falling_body.html
v i = 2 G M d r 2

Doc 10
0.3490
0.3490
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Quartic_interaction.html
v = 2 μ 0 2 3 λ

Doc 11
0.3448
0.6331
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Plasma_fusion_preface.html
v = k e 2 m r
v = 2 k T m

Doc 12
0.3388
0.3388
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Surface_plasmon_polariton.html
ω P = n e 2 ε 0 m *

Doc 13
0.3383
0.3383
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Spinodal_decomposition.html
λ c = 8 π 2 κ f ′′ .

Doc 14
0.3327
0.3327
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Free_electron_model.html
ω p = n e 2 ϵ 0 m

Doc 15
0.3310
0.6596
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Logan_plot.html
0 t C p ( τ ) d τ ROI ( t )
0 t ROI ( τ ) d τ ROI ( t )

Doc 16
0.3296
0.3296
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Self-healing_hydrogels.html
κ = Σ ( z * e ) 2 C 0 * ϵ r ϵ 0 k B T

Doc 17
0.3281
0.6562
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Coronal_seismology.html
ω S = k z 2 B 2 μ ρ e
ω A = k z 2 B 2 μ ρ i

Doc 18
0.3220
0.3220
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Electric-field_screening.html
k 0 = def ρ e 2 ϵ 0 k B T

Doc 19
0.3128
0.3128
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Self-focusing.html
ω p = n e 2 γ m ϵ 0

Doc 20
0.3115
0.3115
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Cevian.html
d = 2 b 2 + 2 c 2 - a 2 4 .

Doc 21
0.3103
0.9309
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Median_(geometry).html
m c = 2 a 2 + 2 b 2 - c 2 4 ,
m b = 2 a 2 + 2 c 2 - b 2 4 ,
m a = 2 b 2 + 2 c 2 - a 2 4 ,
Doc 22
0.3032
0.3032
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Impedance_matching.html
X 1 = R 2 R 1 2 R 1 - R 2

Doc 23
0.2973
0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Economic_batch_quantity.html
Economic batch quantity = 2 annual demand setup costs inventory carrying cost per unit

Doc 24
0.2883
0.2883
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Fracture_mechanics.html
C = 2 E γ π

Doc 25
0.2883
0.2883
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Peeler_centrifuge.html
δ = μ / ρ Ω

Doc 26
0.2883
0.2883
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Electrical_mobility.html
v = 3 k T m

Doc 27
0.2883
0.2883
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/List_of_equations_in_gravitation.html
v = 2 G M r

Doc 28
0.2866
0.5731
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Thermal_velocity.html
v t h = 2 k B T π m
v t h = 8 k B T m π

Doc 29
0.2841
0.2841
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Knudsen_number.html
c ¯ = 8 k B T π m

Doc 30
0.2841
0.2841
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Rüchardt_experiment.html
ω = γ P A 2 m V

Doc 31
0.2832
0.2832
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Flight_dynamics_(fixed-wing_aircraft).html
2 π T = 2 g 2 U 2

Doc 32
0.2802
0.2802
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Template:V2::doc.html
v 2 = 2 × G × M R

Doc 33
0.2780
0.2780
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Spin-exchange_interaction.html
v ¯ = 8 R T π m

Doc 34
0.2780
0.2780
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Langmuir_(unit).html
u ¯ = 8 k T π m

Doc 35
0.2771
0.2771
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Hadamard's_dynamical_system.html
λ = 2 E m R 2

Doc 36
0.2769
0.2769
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Cant_(road::rail).html
v m a x = E a + 3 0.00066 d

Doc 37
0.2769
0.2769
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Rail_speed_limits_in_the_United_States.html
V m a x = E a + 3 0.0007 d

Doc 38
0.2763
0.2763
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Bohr_model.html
v = Z k e e 2 m e r .

Doc 39
0.2759
0.2759
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Material_failure_theory.html
σ = 2 E γ π a

Doc 40
0.2759
0.2759
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Semicircular_potential_well.html
m = 2 I E 2

Doc 41
0.2752
0.5233
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Relativistic_Doppler_effect.html
f s f o = 1 + β 1 - β
z = 1 + β 1 - β - 1.

Doc 42
0.2745
0.2745
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Limb_darkening.html
I m = I ( ψ ) d ω d ω

Doc 43
0.2743
0.2743
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Boundary_layer.html
δ 2 = μ L ρ v

Doc 44
0.2743
0.2743
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Dynamic_similarity_(Reynolds_and_Womersley_numbers).html
δ 2 = μ L ρ V

Doc 45
0.2743
0.2743
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Laughlin_wavefunction.html
l B = c e B

Doc 46
0.2727
0.2727
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Soap_film.html
V = 2 γ ρ h

Doc 47
0.2727
0.2727
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Planck_particle.html
m = h c 2 G

Doc 48
0.2727
0.2727
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Orbital_period.html
T = 3 π G ρ

Doc 49
0.2718
0.2718
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Collision_theory.html
c A = 8 k B T π m A

Doc 50
0.2669
0.2669
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Lindhard_theory.html
κ = 4 π e 2 n β ϵ

Doc 51
0.2661
0.5221
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Standard_error.html
FPC = N - n N - 1
f = 1 + ρ 1 - ρ ,

Doc 52
0.2650
0.2650
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Elastic_collision.html
e s = c + v c - v

Doc 53
0.2649
0.2649
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Debye_length.html
L D = ε k B T q 2 N d

Doc 54
0.2645
0.2645
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/No-three-in-line_problem.html
c = 2 π 2 3 3 1.874.

Doc 55
0.2623
0.2623
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Quasicircle.html
K = 1 + t 1 - t

Doc 56
0.2609
0.2609
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Margin_of_error.html
FPC = N - n N - 1 .

Doc 57
0.2596
0.2596
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Coulomb_collision.html
λ D = ϵ 0 k T e n e e 2

Doc 58
0.2530
0.2530
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Free_fall.html
v = 2 m g ρ C D A .

Doc 59
0.2530
0.2530
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Poisson–Boltzmann_equation.html
K = 2 c 0 e 2 ϵ ϵ 0 k B T

Doc 60
0.2529
0.2529
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Redshift.html
1 + z = 1 + v / c 1 - v / c

Doc 61
0.2520
0.4954
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Pulse_wave_velocity.html
PWV = E inc h 2 r ρ
PWV = d P V ρ d V

Doc 62
0.2513
0.7474
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Terminal_velocity.html
V t = 2 m g ρ A C d
v = 2 m g ρ A C d
v = 2 m g ρ A C d
Doc 63
0.2513
0.2513
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Speed_skydiving.html
v t = 2 m g ρ A C d

Doc 64
0.2502
0.2502
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/James_Hopwood_Jeans.html
λ J = 15 k B T 4 π G m ρ

Doc 65
0.2481
0.2481
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:Template:convert::kps::z::doc.html
z = c + v c - v - 1

Doc 66
0.2481
0.2481
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:Template:calculate::z=√((c+v)÷(c-v))-1::doc.html
z = c + v c - v - 1

Doc 67
0.2460
0.2460
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Jeans_instability.html
λ J = 15 k B T 4 π G μ ρ ,

Doc 68
0.2458
0.2458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Drag_(physics).html
v t = 2 m g ρ A C d .

Doc 69
0.2458
0.2458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Fracture.html
σ fracture = E γ ρ 4 a r o .

Doc 70
0.2423
0.2423
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Doppler_broadening.html
Δ f FWHM = 8 k T ln 2 m c 2 f 0

Doc 71
0.2419
0.2419
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Newton's_theorem_of_revolving_orbits.html
k = a + b a m + b n

Doc 72
0.2419
0.2419
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Assumed_mean.html
σ = B - N D 2 N - 1

Doc 73
0.2348
0.2348
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Ring_laser.html
σ = h f 0 3 2 P Q 2 T

Doc 74
0.2336
0.2336
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Nanofluidics.html
κ = 8 π n e 2 ϵ k T

Doc 75
0.2286
0.2286
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Pound–Rebka_experiment.html
f r = 1 - v / c 1 + v / c f e .

Doc 76
0.2259
0.2259
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Circumscribed_circle.html
diameter = 2 area sin A sin B sin C .

Doc 77
0.2243
0.2243
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Corona.html
λ D = k B T 4 π n e 2

Doc 78
0.2232
0.2232
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Wave_impedance.html
Z = j ω μ σ + j ω ε

Doc 79
0.2232
0.2232
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Incircle_and_excircles_of_a_triangle.html
r = x y z x + y + z

Doc 80
0.2205
0.2205
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Modified_internal_rate_of_return.html
MIRR = F V ( positive cash flows, reinvestment rate ) - P V ( negative cash flows, finance rate ) n - 1

Doc 81
0.2148
0.2148
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Heaviside_condition.html
Z 0 = R + j ω L G + j ω C

Doc 82
0.2148
0.2148
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Characteristic_admittance.html
Y 0 = G + j ω C R + j ω L

Doc 83
0.2148
0.2148
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Characteristic_impedance.html
Z 0 = R + j ω L G + j ω C

Doc 84
0.2138
0.2138
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Black_hole_electron.html
r q = q 2 G 4 π ϵ 0 c 4

Doc 85
0.2108
0.2108
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Transmission_line.html
Z 0 = R + j ω L G + j ω C .

Doc 86
0.2085
0.2085
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Economic_order_quantity.html
= 2 * 10000 * 2 8 * 0.02

Doc 87
0.2044
0.2044
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Radio_frequency_microelectromechanical_system.html
R = λ 2 EIRP G R / T σ 64 π 3 k B BW SNR 4

Doc 88
0.2042
0.2042
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Twin-lead.html
Z = R + j ω L G + j ω C

Doc 89
0.1898
0.1898
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Particle_size.html
D = 2 3 W 4 π d g 3

Doc 90
0.1667
0.1667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Redescending_M-estimator.html
Ψ 2 d F ( Ψ d F ) 2