tangent
Not Supported
τ
rms
=
∫
0
∞
(
τ
-
τ
¯
)
2
A
c
(
τ
)
d
τ
∫
0
∞
A
c
(
τ
)
d
τ
Search
Returned 98 matches (100 formulae, 76 docs)
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Found 102191 tuple postings, 57433 formulae, 13001 documents
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τ
rms
=
∫
0
∞
(
τ
-
τ
¯
)
2
A
c
(
τ
)
d
τ
∫
0
∞
A
c
(
τ
)
d
τ
Doc 1
1.0000, 1.4122
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, 1.4122
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
0.1484, 0.2866
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
0.1451, 0.1451
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
0.1429, 0.1429
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
0.1484, 0.2866
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Xbar_and_s_chart.html
=
∫
0
∞
G
(
τ
)
F
(
t
-
τ
)
d
τ
Doc 5
0.1290, 0.2401
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Duhamel's_principle.html
(
Δ
x
)
2
=
∫
-
∞
∞
(
x
-
μ
)
2
f
(
x
)
f
*
(
x
)
d
x
∫
-
∞
∞
f
(
x
)
f
*
(
x
)
d
x
Doc 6
0.1239, 0.4156
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Gabor_wavelet.html
(
Δ
k
)
2
=
∫
-
∞
∞
(
k
-
k
0
)
2
F
(
k
)
F
*
(
k
)
d
k
∫
-
∞
∞
F
(
k
)
F
*
(
k
)
d
k
Doc 6
0.1239, 0.4156
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Gabor_wavelet.html
Σ
(
x
-
x
¯
)
2
n
=
Σ
[
x
-
(
Σ
x
)
/
n
]
2
n
,
Doc 7
0.1210, 0.1210
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Numeric_precision_in_Microsoft_Excel.html
=
def
∫
-
∞
∞
f
(
τ
)
g
(
t
-
τ
)
d
τ
Doc 8
0.1176, 0.3504
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Convolution.html
∫
-
∞
∞
δ
(
τ
)
g
(
t
-
τ
)
d
τ
=
g
(
t
)
Doc 8
0.1176, 0.3504
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Convolution.html
∫
0
t
ROI
(
τ
)
d
τ
ROI
(
t
)
Doc 9
0.1164, 0.3128
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Logan_plot.html
=
∫
-
∞
∞
f
(
t
-
τ
)
g
(
τ
)
d
τ
.
Doc 8
0.1176, 0.3504
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Convolution.html
λ
piv
=
∫
e
(
λ
)
λ
d
λ
∫
e
(
λ
)
λ
-
1
d
λ
Doc 10
0.1153, 0.2275
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/AB_magnitude.html
G
E
H
=
2
(
M
-
C
)
2
M
+
C
Doc 11
0.1148, 0.1148
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/GEH_statistic.html
∫
0
t
C
p
(
τ
)
d
τ
ROI
(
t
)
Doc 9
0.1164, 0.3128
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Logan_plot.html
RMSD
=
∑
t
=
1
n
(
y
^
t
-
y
)
2
n
.
Doc 12
0.1138, 0.2117
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 13
0.1134, 0.1134
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Calibration_curve.html
f
(
t
)
=
∫
0
∞
h
(
τ
)
s
(
t
-
τ
)
d
τ
Doc 14
0.1129, 0.1898
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Causal_filter.html
p
(
t
)
=
∫
0
∞
h
(
τ
)
q
(
t
-
τ
)
d
τ
Doc 15
0.1129, 0.1129
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Biot–Tolstoy–Medwin_diffraction_model.html
λ
piv
=
∫
e
(
λ
)
d
λ
∫
e
(
λ
)
λ
-
2
d
λ
Doc 10
0.1153, 0.2275
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/AB_magnitude.html
=
∫
-
∞
∞
f
(
τ
)
δ
(
τ
-
(
t
-
T
)
)
d
τ
Doc 16
0.1120, 0.2120
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Dirac_delta_function.html
=
∫
-
∞
t
G
(
t
-
τ
)
F
(
τ
)
d
τ
Doc 5
0.1290, 0.2401
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Duhamel's_principle.html
∫
0
∞
y
λ
J
λ
d
λ
∫
0
∞
J
λ
d
λ
,
Doc 17
0.1078, 0.1078
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Luminous_efficacy.html
d
P
→
d
t
=
∫
0
t
𝐀
(
t
-
τ
)
P
→
(
τ
)
d
τ
Doc 18
0.1074, 0.1074
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Kinetic_scheme.html
[
(
τ
s
-
τ
¯
s
)
2
]
¯
1
2
=
1.4
s
,
Doc 19
0.1073, 0.1073
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/BKL_singularity.html
y
(
t
)
=
∫
0
T
x
(
t
-
τ
)
h
(
τ
)
d
τ
Doc 20
0.1066, 0.1066
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Linear_filter.html
∫
-
∞
∞
w
(
τ
)
d
τ
=
1.
Doc 21
0.1064, 0.2102
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Short-time_Fourier_transform.html
∫
-
∞
∞
w
(
t
-
τ
)
d
τ
=
1
∀
t
Doc 21
0.1064, 0.2102
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Short-time_Fourier_transform.html
d
P
→
d
t
=
∫
0
t
𝐀
(
t
-
τ
)
P
→
(
τ
)
d
τ
.
Doc 22
0.1036, 0.1036
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Master_equation.html
C
=
∫
x
g
(
x
)
d
x
∫
g
(
x
)
d
x
Doc 23
0.1026, 0.2001
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Centroid.html
Ω
(
r
)
=
∫
r
∞
(
1
-
F
(
x
)
)
d
x
∫
-
∞
r
F
(
x
)
d
x
Doc 24
0.1024, 0.1024
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Omega_ratio.html
(
f
*
g
)
(
t
)
=
∫
0
t
f
(
τ
)
g
(
t
-
τ
)
d
τ
Doc 25
0.1024, 0.1913
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Laplace_transform.html
=
def
∫
-
∞
∞
f
(
τ
)
δ
(
t
-
T
-
τ
)
d
τ
Doc 16
0.1120, 0.2120
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Dirac_delta_function.html
s
p
=
p
(
1
-
p
)
n
Doc 26
0.0995, 0.1767
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Checking_whether_a_coin_is_fair.html
y
(
t
)
=
∫
0
∞
sin
(
t
+
τ
)
x
(
τ
)
d
τ
Doc 27
0.0984, 0.1867
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Causal_system.html
RMSD
=
∑
t
=
1
n
(
x
1
,
t
-
x
2
,
t
)
2
n
.
Doc 12
0.1138, 0.2117
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Root-mean-square_deviation.html
C
k
=
∫
z
S
k
(
z
)
d
z
∫
S
k
(
z
)
d
z
Doc 23
0.1026, 0.2001
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Centroid.html
E
(
t
)
=
C
(
t
)
∫
0
∞
C
(
t
)
d
t
Doc 28
0.0957, 0.1889
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Residence_time_distribution.html
σ
i
2
=
∫
-
∞
+
∞
(
τ
-
m
i
)
2
⋅
p
i
(
τ
)
d
τ
Doc 29
0.0956, 0.0956
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Beta_wavelet.html
1
κ
=
∫
0
∞
(
κ
ν
,
es
+
κ
ν
,
ff
)
-
1
u
(
ν
,
T
)
d
ν
∫
0
∞
u
(
ν
,
T
)
d
ν
Doc 30
0.0947, 0.1887
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 30
0.0947, 0.1887
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Opacity_(optics).html
Q
=
∫
0
t
I
(
τ
)
d
τ
Doc 31
0.0938, 0.0938
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Faraday's_laws_of_electrolysis.html
σ
2
=
∫
0
∞
(
t
-
t
¯
)
2
⋅
E
(
t
)
d
t
Doc 28
0.0957, 0.1889
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Residence_time_distribution.html
u
=
2
(
p
t
-
p
s
)
ρ
Doc 32
0.0926, 0.0926
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Pitot_tube.html
G
i
j
(
t
;
L
)
=
∫
0
∞
Ψ
i
(
t
-
τ
)
W
i
j
(
τ
;
L
)
d
τ
,
Doc 33
0.0924, 0.0924
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Heterogeneous_random_walk_in_one_dimension.html
d
=
∫
-
∞
t
(
t
-
r
)
2
f
(
r
)
d
r
Doc 34
0.0921, 0.0921
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Post-modern_portfolio_theory.html
∫
-
∞
∞
h
(
τ
)
⋅
x
T
(
t
-
τ
)
d
τ
Doc 36
0.0905, 0.0905
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Circular_convolution.html
∫
Ω
f
(
x
)
w
(
x
)
d
x
∫
Ω
w
(
x
)
d
x
Doc 35
0.0905, 0.0905
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Weight_function.html
∫
t
0
t
f
(
τ
)
d
τ
Doc 37
0.0904, 0.1808
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Zero_state_response.html
Doc 37
0.0904, 0.1808
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Zero_state_response.html
R
(
t
)
C
p
(
t
)
=
K
∫
0
t
C
p
(
τ
)
d
τ
C
p
(
t
)
+
V
0
Doc 38
0.0896, 0.1753
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Patlak_plot.html
∫
0
t
f
(
τ
)
d
τ
=
(
u
*
f
)
(
t
)
Doc 25
0.1024, 0.1913
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Laplace_transform.html
y
(
t
)
=
∫
-
∞
∞
sin
(
t
+
τ
)
x
(
τ
)
d
τ
Doc 27
0.0984, 0.1867
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Causal_system.html
Φ
(
t
)
=
∫
0
t
φ
(
τ
)
d
τ
Doc 39
0.0882, 0.0882
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Refinable_function.html
p
¯
±
3
p
¯
(
1
-
p
¯
)
n
Doc 40
0.0881, 0.4251
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
Doc 40
0.0881, 0.4251
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
v
a
=
μ
(
1
-
e
)
a
(
1
+
e
)
Doc 41
0.0881, 0.0881
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Flight_dynamics_(spacecraft).html
RMS noise
=
∑
i
=
1
n
(
X
i
-
∑
i
=
1
n
X
i
n
)
2
n
Doc 42
0.0881, 0.0881
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Signal-to-noise_ratio_(imaging).html
G
i
j
=
∫
t
0
t
f
ℓ
i
(
τ
)
ℓ
j
¯
(
τ
)
d
τ
.
Doc 43
0.0880, 0.0880
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Gramian_matrix.html
r
=
(
s
-
a
)
(
s
-
b
)
(
s
-
c
)
s
.
Doc 44
0.0876, 0.0876
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Law_of_cotangents.html
Doc 45
0.0876, 0.0876
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Semiperimeter.html
I
out
=
K
i
∫
0
t
e
(
τ
)
d
τ
Doc 46
0.0874, 0.0874
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/PID_controller.html
1
(
2
π
i
)
2
∫
L
*
g
(
τ
)
d
τ
(
∫
L
*
d
τ
1
(
τ
1
-
t
)
(
τ
-
τ
1
)
)
=
0 .
Doc 47
0.0870, 0.0870
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Order_of_integration_(calculus).html
T
=
∫
x
=
0
∞
x
ℓ
(
x
)
m
(
x
)
d
x
∫
x
=
0
∞
ℓ
(
x
)
m
(
x
)
d
x
Doc 48
0.0862, 0.0862
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Generation_time.html
D
R
=
∫
-
∞
T
(
T
-
r
)
2
f
(
r
)
d
r
Doc 49
0.0859, 0.0859
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Sortino_ratio.html
p
¯
±
3
p
¯
(
1
-
p
¯
)
n
i
Doc 40
0.0881, 0.4251
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
I
[
u
]
=
∫
D
(
∇
u
)
T
A
(
∇
u
)
d
x
Doc 50
0.0858, 0.0858
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Capacity_of_a_set.html
p
¯
±
3
p
¯
(
1
-
p
¯
)
n
¯
Doc 40
0.0881, 0.4251
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
k
→
(
t
)
≡
∫
0
t
G
→
(
τ
)
d
τ
Doc 51
0.0857, 0.0857
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 38
0.0896, 0.1753
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Patlak_plot.html
μ
=
∫
-
∞
∞
x
f
(
x
)
f
*
(
x
)
d
x
∫
-
∞
∞
f
(
x
)
f
*
(
x
)
d
x
Doc 6
0.1239, 0.4156
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Gabor_wavelet.html
k
0
=
∫
-
∞
∞
k
F
(
k
)
F
*
(
k
)
d
k
∫
-
∞
∞
F
(
k
)
F
*
(
k
)
d
k
Doc 6
0.1239, 0.4156
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Gabor_wavelet.html
F
(
t
)
=
∫
0
t
f
(
τ
)
d
τ
.
Doc 52
0.0849, 0.0849
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Failure_rate.html
Δ
τ
=
Δ
s
2
c
2
,
Δ
s
2
>
0
Doc 53
0.0847, 0.0847
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Lorentz_covariance.html
∫
τ
q
U
(
τ
′
)
d
τ
′
Doc 54
0.0838, 0.0838
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Poisson–Boltzmann_equation.html
R
s
t
a
c
k
(
η
)
=
∫
0
η
Q
(
τ
)
F
s
t
a
c
k
(
τ
)
d
τ
Doc 55
0.0830, 0.0830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Airborne_particulate_radioactivity_monitoring.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 56
0.0826, 0.0826
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Initialized_fractional_calculus.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 57
0.0820, 0.0820
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Fractional_calculus.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 9
0.1164, 0.3128
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Logan_plot.html
r
a
=
s
(
s
-
b
)
(
s
-
c
)
s
-
a
.
Doc 58
0.0816, 0.0816
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Incircle_and_excircles_of_a_triangle.html
d
k
=
∫
b
k
-
1
b
k
(
x
-
y
k
)
2
f
(
x
)
d
x
Doc 59
0.0813, 0.0813
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Quantization_(signal_processing).html
1
2
π
∫
0
2
π
(
π
-
s
)
f
(
t
-
s
)
d
s
Doc 61
0.0811, 0.0811
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Multiplier_(Fourier_analysis).html
L
(
F
)
=
∫
0
F
x
(
F
1
)
d
F
1
∫
0
1
x
(
F
1
)
d
F
1
Doc 60
0.0811, 0.0811
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Lorenz_curve.html
σ
g
1
=
6
(
n
-
2
)
(
n
+
1
)
(
n
+
3
)
Doc 62
0.0810, 0.0810
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Histogram.html
π
r
2
h
2
∫
0
h
(
h
-
x
)
2
d
x
Doc 63
0.0808, 0.0808
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Volume.html
lim
λ
→
∞
∫
0
λ
(
1
-
x
λ
)
α
f
(
x
)
d
x
Doc 64
0.0807, 0.0807
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Cesàro_summation.html
Doc 65
0.0807, 0.0807
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Improper_integral.html
W
=
1
Z
∫
v
m
i
n
v
m
a
x
(
v
d
-
V
)
2
S
(
v
d
)
d
v
d
Doc 66
0.0798, 0.0798
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Millimeter_cloud_radar.html
(
f
⋆
g
)
(
t
)
=
def
∫
-
∞
∞
f
*
(
τ
)
g
(
t
+
τ
)
d
τ
,
Doc 67
0.0794, 0.0794
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Leak_noise_correlator.html
∑
i
=
1
n
(
X
i
-
X
¯
)
2
σ
2
Doc 68
0.0792, 0.0792
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Degrees_of_freedom_(statistics).html
t
=
R
2
(
n
-
k
-
1
*
)
1
-
R
2
Doc 69
0.0791, 0.0791
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Statistical_hypothesis_testing.html
Δ
t
=
∫
0
Δ
τ
e
±
∫
0
τ
¯
a
(
τ
′
)
d
τ
′
d
τ
¯
,
Doc 70
0.0787, 0.0787
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Twin_paradox.html
e
-
∫
0
t
V
(
x
(
τ
)
)
d
τ
Doc 71
0.0780, 0.0780
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Feynman–Kac_formula.html
μ
n
=
∫
-
∞
∞
(
x
-
c
)
n
f
(
x
)
d
x
.
Doc 72
0.0776, 0.0776
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Moment_(mathematics).html
A
(
τ
)
=
∫
-
∞
+
∞
I
(
t
)
I
(
t
-
τ
)
d
t
Doc 73
0.0775, 0.0775
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Optical_autocorrelation.html
=
p
(
1
-
p
)
n
=
0.5
×
0.5
n
=
1
2
n
Doc 26
0.0995, 0.1767
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 40
0.0881, 0.4251
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/P-chart.html
∫
-
x
x
(
x
2
-
y
2
)
n
cos
(
y
)
d
y
.
Doc 75
0.0769, 0.0769
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Proof_that_π_is_irrational.html
∫
-
∞
∞
h
(
t
-
τ
)
A
e
s
τ
d
τ
Doc 74
0.0769, 0.0769
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/LTI_system_theory.html
f
(
t
-
1
)
=
∫
-
2
0
s
(
t
+
τ
)
d
τ
=
∫
0
+
2
s
(
t
-
τ
)
d
τ
Doc 14
0.1129, 0.1898
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Causal_filter.html
Q
(
t
)
=
∫
-
∞
t
I
(
τ
)
d
τ
Doc 76
0.0766, 0.1531
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Quantum_LC_circuit.html
ϕ
(
t
)
≡
∫
-
∞
t
V
(
τ
)
d
τ
Doc 76
0.0766, 0.1531
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Quantum_LC_circuit.html