Returned 98 matches (100 formulae, 76 docs)
    Lookup 7.920 ms, Re-ranking 1576.044 ms
    Found 102191 tuple postings, 57433 formulae, 13001 documents
[ formulas ] [ documents ] [ documents-by-formula ]

τ rms = 0 ( τ - τ ¯ ) 2 A c ( τ ) d τ 0 A c ( τ ) d τ
Doc 1
1.0000, 1.4015
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Delay_spread.html
τ ¯ = 0 τ A c ( τ ) d τ 0 A c ( τ ) d τ
Doc 1
1.0000, 1.4015
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Delay_spread.html
s = i = 1 n ( x i - x ¯ ) 2 n - 1
Doc 2
0.1550, 0.2994
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Xbar_and_s_chart.html
Ω 1 = 0 t A ( τ ) d τ
Doc 3
0.1538, 0.1538
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Magnus_expansion.html
α sun = 0 α λ I λ sun ( λ ) d λ 0 I λ sun ( λ ) d λ
Doc 4
0.1489, 0.1489
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Kirchhoff's_law_of_thermal_radiation.html
s ¯ i = j = 1 n ( x i j - x ¯ i ) 2 n - 1
Doc 2
0.1550, 0.2994
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Xbar_and_s_chart.html
G E H = 2 ( M - C ) 2 M + C
Doc 5
0.1220, 0.1220
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/GEH_statistic.html
λ piv = e ( λ ) λ d λ e ( λ ) λ - 1 d λ
Doc 6
0.1212, 0.2188
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/AB_magnitude.html
RMSD = t = 1 n ( y ^ t - y ) 2 n .
Doc 7
0.1210, 0.2251
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Root-mean-square_deviation.html
= ( y i - m x i - b ) 2 n - 2
Doc 8
0.1205, 0.1205
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Calibration_curve.html
[ ( τ s - τ ¯ s ) 2 ] ¯ 1 2 = 1.4 s ,
Doc 9
0.1159, 0.1159
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/BKL_singularity.html
( Δ x ) 2 = - ( x - μ ) 2 f ( x ) f * ( x ) d x - f ( x ) f * ( x ) d x
Doc 10
0.1120, 0.3548
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Gabor_wavelet.html
C = x g ( x ) d x g ( x ) d x
Doc 11
0.1102, 0.2150
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Centroid.html
= - t G ( t - τ ) F ( τ ) d τ
Doc 12
0.1101, 0.1832
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Duhamel's_principle.html
( Δ k ) 2 = - ( k - k 0 ) 2 F ( k ) F * ( k ) d k - F ( k ) F * ( k ) d k
Doc 10
0.1120, 0.3548
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Gabor_wavelet.html
s p = p ( 1 - p ) n
Doc 13
0.1084, 0.1927
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Checking_whether_a_coin_is_fair.html
0 y λ J λ d λ 0 J λ d λ ,
Doc 14
0.1068, 0.1068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Luminous_efficacy.html
= - f ( t - τ ) g ( τ ) d τ .
Doc 15
0.1062, 0.2441
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Convolution.html
- w ( τ ) d τ = 1.
Doc 16
0.1053, 0.1800
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Short-time_Fourier_transform.html
C k = z S k ( z ) d z S k ( z ) d z
Doc 11
0.1102, 0.2150
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Centroid.html
0 t ROI ( τ ) d τ ROI ( t )
Doc 17
0.1047, 0.2689
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Logan_plot.html
RMSD = t = 1 n ( x 1 , t - x 2 , t ) 2 n .
Doc 7
0.1210, 0.2251
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Root-mean-square_deviation.html
E ( t ) = C ( t ) 0 C ( t ) d t
Doc 18
0.1034, 0.1959
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Residence_time_distribution.html
0 t C p ( τ ) d τ ROI ( t )
Doc 17
0.1047, 0.2689
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Logan_plot.html
Q = 0 t I ( τ ) d τ
Doc 19
0.1031, 0.1031
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Faraday's_laws_of_electrolysis.html
Ω ( r ) = r ( 1 - F ( x ) ) d x - r F ( x ) d x
Doc 20
0.1017, 0.1017
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Omega_ratio.html
u = 2 ( p t - p s ) ρ
Doc 21
0.1009, 0.1009
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Pitot_tube.html
t 0 t f ( τ ) d τ
Doc 22
0.1006, 0.2011
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Zero_state_response.html
Doc 22
0.1006, 0.2011
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Zero_state_response.html
1 κ = 0 κ ν - 1 u ( ν , T ) d ν 0 u ( ν , T ) d ν
Doc 23
0.1000, 0.1997
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Opacity_(optics).html
1 κ = 0 ( κ ν , es + κ ν , ff ) - 1 u ( ν , T ) d ν 0 u ( ν , T ) d ν
Doc 23
0.1000, 0.1997
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Opacity_(optics).html
Σ ( x - x ¯ ) 2 n = Σ [ x - ( Σ x ) / n ] 2 n ,
Doc 24
0.0989, 0.0989
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Numeric_precision_in_Microsoft_Excel.html
d P d t = 0 t 𝐀 ( t - τ ) P ( τ ) d τ
Doc 25
0.0984, 0.0984
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Kinetic_scheme.html
λ piv = e ( λ ) d λ e ( λ ) λ - 2 d λ
Doc 6
0.1212, 0.2188
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/AB_magnitude.html
y ( t ) = 0 T x ( t - τ ) h ( τ ) d τ
Doc 26
0.0976, 0.0976
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Linear_filter.html
Φ ( t ) = 0 t φ ( τ ) d τ
Doc 27
0.0971, 0.0971
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Refinable_function.html
I out = K i 0 t e ( τ ) d τ
Doc 28
0.0962, 0.0962
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/PID_controller.html
p ¯ ± 3 p ¯ ( 1 - p ¯ ) n
Doc 29
0.0961, 0.4637
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
Doc 29
0.0961, 0.4637
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
v a = μ ( 1 - e ) a ( 1 + e )
Doc 30
0.0961, 0.0961
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Flight_dynamics_(spacecraft).html
d P d t = 0 t 𝐀 ( t - τ ) P ( τ ) d τ .
Doc 31
0.0949, 0.0949
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Master_equation.html
k ( t ) 0 t G ( τ ) d τ
Doc 33
0.0943, 0.0943
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Physics_of_magnetic_resonance_imaging.html
0 t C p ( τ ) d τ / C p ( t )
Doc 32
0.0943, 0.1684
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Patlak_plot.html
RMS noise = i = 1 n ( X i - i = 1 n X i n ) 2 n
Doc 34
0.0938, 0.0938
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Signal-to-noise_ratio_(imaging).html
I [ u ] = D ( u ) T A ( u ) d x
Doc 35
0.0936, 0.0936
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Capacity_of_a_set.html
p ¯ ± 3 p ¯ ( 1 - p ¯ ) n i
Doc 29
0.0961, 0.4637
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
p ¯ ± 3 p ¯ ( 1 - p ¯ ) n ¯
Doc 29
0.0961, 0.4637
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
F ( t ) = 0 t f ( τ ) d τ .
Doc 36
0.0935, 0.0935
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Failure_rate.html
τ q U ( τ ) d τ
Doc 37
0.0933, 0.0933
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Poisson–Boltzmann_equation.html
Δ τ = Δ s 2 c 2 , Δ s 2 > 0
Doc 38
0.0924, 0.0924
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Lorentz_covariance.html
σ 2 = 0 ( t - t ¯ ) 2 E ( t ) d t
Doc 18
0.1034, 0.1959
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Residence_time_distribution.html
d = - t ( t - r ) 2 f ( r ) d r
Doc 39
0.0913, 0.0913
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Post-modern_portfolio_theory.html
1 2 π 0 2 π ( π - s ) f ( t - s ) d s
Doc 40
0.0893, 0.0893
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Multiplier_(Fourier_analysis).html
r a = s ( s - b ) ( s - c ) s - a .
Doc 41
0.0891, 0.0891
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Incircle_and_excircles_of_a_triangle.html
lim λ 0 λ ( 1 - x λ ) α f ( x ) d x
Doc 42
0.0889, 0.0889
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Cesàro_summation.html
Doc 43
0.0889, 0.0889
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Improper_integral.html
d k = b k - 1 b k ( x - y k ) 2 f ( x ) d x
Doc 44
0.0887, 0.0887
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Quantization_(signal_processing).html
σ g 1 = 6 ( n - 2 ) ( n + 1 ) ( n + 3 )
Doc 45
0.0884, 0.0884
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Histogram.html
i = 1 n ( X i - X ¯ ) 2 σ 2
Doc 46
0.0882, 0.0882
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Degrees_of_freedom_(statistics).html
0 t f ( τ ) d τ = ( u * f ) ( t )
Doc 47
0.0881, 0.1506
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Laplace_transform.html
r = ( s - a ) ( s - b ) ( s - c ) s .
Doc 48
0.0870, 0.0870
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Semiperimeter.html
Doc 49
0.0870, 0.0870
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Law_of_cotangents.html
𝔻 t q f ( t ) = 1 Γ ( n - q ) d n d t n 0 t ( t - τ ) n - q - 1 f ( τ ) d τ + Ψ ( x )
Doc 50
0.0866, 0.0866
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Initialized_fractional_calculus.html
t = R 2 ( n - k - 1 * ) 1 - R 2
Doc 51
0.0863, 0.0863
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Statistical_hypothesis_testing.html
D t - α a f ( t ) = I t α a f ( t ) = 1 Γ ( α ) a t ( t - τ ) α - 1 f ( τ ) d τ
Doc 52
0.0862, 0.0862
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Fractional_calculus.html
- x x ( x 2 - y 2 ) n cos ( y ) d y .
Doc 53
0.0857, 0.0857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Proof_that_π_is_irrational.html
μ n = - ( x - c ) n f ( x ) d x .
Doc 54
0.0855, 0.0855
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Moment_(mathematics).html
Q ( t ) = - t I ( τ ) d τ
Doc 55
0.0853, 0.1706
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Quantum_LC_circuit.html
ϕ ( t ) - t V ( τ ) d τ
Doc 55
0.0853, 0.1706
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Quantum_LC_circuit.html
D R = - T ( T - r ) 2 f ( r ) d r
Doc 56
0.0853, 0.0853
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Sortino_ratio.html
= p ( 1 - p ) n = 0.5 × 0.5 n = 1 2 n
Doc 13
0.1084, 0.1927
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Checking_whether_a_coin_is_fair.html
Z i = p ^ i - p ¯ p ¯ ( 1 - p ¯ ) n i
Doc 29
0.0961, 0.4637
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
y ( t ) = 0 sin ( t + τ ) x ( τ ) d τ
Doc 57
0.0813, 0.1610
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Causal_system.html
L ( F ) = 0 F x ( F 1 ) d F 1 0 1 x ( F 1 ) d F 1
Doc 58
0.0805, 0.0805
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Lorenz_curve.html
y ( t ) = - sin ( t + τ ) x ( τ ) d τ
Doc 57
0.0813, 0.1610
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Causal_system.html
= - f ( τ ) δ ( τ - ( t - T ) ) d τ
Doc 59
0.0794, 0.1455
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Dirac_delta_function.html
G i j = t 0 t f i ( τ ) j ¯ ( τ ) d τ .
Doc 60
0.0794, 0.0794
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Gramian_matrix.html
G i j ( t ; L ) = 0 Ψ i ( t - τ ) W i j ( τ ; L ) d τ ,
Doc 61
0.0787, 0.0787
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Heterogeneous_random_walk_in_one_dimension.html
e - 0 t V ( x ( τ ) ) d τ
Doc 62
0.0773, 0.0773
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Feynman–Kac_formula.html
- w ( t - τ ) d τ = 1 t
Doc 16
0.1053, 0.1800
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Short-time_Fourier_transform.html
R ( t ) C p ( t ) = K 0 t C p ( τ ) d τ C p ( t ) + V 0
Doc 32
0.0943, 0.1684
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Patlak_plot.html
= 0 G ( τ ) F ( t - τ ) d τ
Doc 12
0.1101, 0.1832
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Duhamel's_principle.html
Ω f ( x ) w ( x ) d x Ω w ( x ) d x
Doc 63
0.0717, 0.0717
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Weight_function.html
= def - f ( τ ) g ( t - τ ) d τ
Doc 15
0.1062, 0.2441
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Convolution.html
σ i 2 = - + ( τ - m i ) 2 p i ( τ ) d τ
Doc 64
0.0711, 0.0711
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Beta_wavelet.html
π r 2 h 2 0 h ( h - x ) 2 d x
Doc 65
0.0700, 0.0700
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Volume.html
R s t a c k ( η ) = 0 η Q ( τ ) F s t a c k ( τ ) d τ
Doc 66
0.0687, 0.0687
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Airborne_particulate_radioactivity_monitoring.html
T = x = 0 x ( x ) m ( x ) d x x = 0 ( x ) m ( x ) d x
Doc 67
0.0673, 0.0673
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Generation_time.html
W = 1 Z v m i n v m a x ( v d - V ) 2 S ( v d ) d v d
Doc 68
0.0671, 0.0671
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Millimeter_cloud_radar.html
μ = - x f ( x ) f * ( x ) d x - f ( x ) f * ( x ) d x
Doc 10
0.1120, 0.3548
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Gabor_wavelet.html
- h ( t - τ ) A e s τ d τ
Doc 69
0.0667, 0.0667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/LTI_system_theory.html
k 0 = - k F ( k ) F * ( k ) d k - F ( k ) F * ( k ) d k
Doc 10
0.1120, 0.3548
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Gabor_wavelet.html
- δ ( τ ) g ( t - τ ) d τ = g ( t )
Doc 15
0.1062, 0.2441
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Convolution.html
= def - f ( τ ) δ ( t - T - τ ) d τ
Doc 59
0.0794, 0.1455
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Dirac_delta_function.html
Δ t = 0 Δ τ e ± 0 τ ¯ a ( τ ) d τ d τ ¯ ,
Doc 70
0.0651, 0.0651
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Twin_paradox.html
p ( t ) = 0 h ( τ ) q ( t - τ ) d τ
Doc 72
0.0640, 0.0640
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Biot–Tolstoy–Medwin_diffraction_model.html
f ( t ) = 0 h ( τ ) s ( t - τ ) d τ
Doc 71
0.0640, 0.1077
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Causal_filter.html
( f * g ) ( t ) = 0 t f ( τ ) g ( t - τ ) d τ
Doc 47
0.0881, 0.1506
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Laplace_transform.html
0 t A ( τ ) d τ = - 𝐔 n T 𝐊 - 1 𝐐 0 t C p ( τ ) d τ + 𝐔 n T 𝐊 - 1 𝐀
Doc 17
0.1047, 0.2689
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Logan_plot.html
( f g ) ( t ) = def - f * ( τ ) g ( t + τ ) d τ ,
Doc 73
0.0573, 0.0573
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Leak_noise_correlator.html
1 ( 2 π i ) 2 L * g ( τ ) d τ ( L * d τ 1 ( τ 1 - t ) ( τ - τ 1 ) ) = 0 .
Doc 74
0.0458, 0.0458
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Order_of_integration_(calculus).html
- h ( τ ) x T ( t - τ ) d τ
Doc 75
0.0448, 0.0448
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Circular_convolution.html
f ( t - 1 ) = - 2 0 s ( t + τ ) d τ = 0 + 2 s ( t - τ ) d τ
Doc 71
0.0640, 0.1077
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Causal_filter.html
A ( τ ) = - + I ( t ) I ( t - τ ) d t
Doc 76
0.0308, 0.0308
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Optical_autocorrelation.html