tangent
Not Supported
N
!
*1*
!
(
N
-
*1*
)
!
p
*1*
(
1
-
p
)
N
-
*1*
Search
Returned 88 matches (100 formulae, 85 docs)
Lookup 167.628 ms, Re-ranking 0.171 ms
Found 570478 tuple postings, 155656 formulae, 21500 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
P
i
x
=
N
!
n
x
!
(
N
-
n
x
)
!
p
x
n
x
(
1
-
p
x
)
N
-
n
x
Doc 1
0.5833, 0.5833
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Statistical_coupling_analysis.html
2
N
p
K
(
1
-
p
)
N
-
K
W
.
Doc 2
0.4731, 0.4731
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Kelly_criterion.html
c
!
s
!
(
c
-
s
)
!
Doc 7
0.4524, 0.4524
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Proportional_approval_voting.html
n
!
k
!
(
n
-
k
)
!
Doc 3
0.4524, 1.3622
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_coefficient.html
Doc 4
0.4524, 1.0863
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_theorem.html
Doc 5
0.4524, 0.7947
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Combination.html
n
!
m
!
(
n
-
m
)
!
Doc 6
0.4524, 0.7232
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Field_with_one_element.html
Doc 8
0.4524, 0.4524
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Kummer's_theorem.html
p
!
k
!
(
p
-
k
)
!
,
Doc 9
0.4471, 0.4471
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Frobenius_endomorphism.html
8
!
4
!
(
8
-
4
)
!
=
70
Doc 10
0.4368, 0.4368
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Lady_tasting_tea.html
f
(
p
)
=
(
n
+
1
)
!
s
!
(
n
-
s
)
!
p
s
(
1
-
p
)
n
-
s
.
Doc 11
0.4322, 0.7377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Rule_of_succession.html
n
!
(
n
-
k
)
!
k
!
p
k
(
1
-
p
)
n
-
k
→
e
-
λ
λ
k
k
!
.
Doc 12
0.4321, 1.0945
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Poisson_limit_theorem.html
(
2
N
)
!
k
!
(
2
N
-
k
)
!
p
k
q
2
N
-
k
Doc 13
0.4202, 0.4202
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Genetic_drift.html
(
N
N
R
)
=
N
!
N
R
!
(
N
-
N
R
)
!
Doc 14
0.4194, 0.6758
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Brownian_motion.html
Γ
(
r
+
k
)
k
!
Γ
(
r
)
p
r
(
1
-
p
)
k
Doc 15
0.4151, 1.4122
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/(a,b,0)_class_of_distributions.html
Ω
c
o
n
f
=
N
S
!
N
!
(
N
S
-
N
)
!
Doc 16
0.4127, 0.4127
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Langmuir_adsorption_model.html
(
n
k
)
p
k
(
1
-
p
)
n
-
k
Doc 15
0.4151, 1.4122
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/(a,b,0)_class_of_distributions.html
Doc 17
0.4091, 0.4091
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bean_machine.html
p
n
(
k
)
=
n
!
(
n
-
k
)
!
k
!
p
k
(
1
-
p
)
n
-
k
.
Doc 12
0.4321, 1.0945
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Poisson_limit_theorem.html
(
n
k
)
p
k
(
1
-
p
)
n
-
k
.
Doc 3
0.4524, 1.3622
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_coefficient.html
p
M
(
1
-
p
)
(
n
2
)
-
M
.
Doc 18
0.3765, 0.3765
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Erdős–Rényi_model.html
Ω
=
(
q
+
N
′
-
1
)
!
q
!
(
N
′
-
1
)
!
Doc 19
0.3758, 0.3758
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Einstein_solid.html
(
1
-
p
2
)
N
-
2
Doc 20
0.3611, 0.6944
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Complex_network_zeta_function.html
1
-
6
p
(
1
-
p
)
n
p
(
1
-
p
)
Doc 21
0.3540, 1.0037
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_distribution.html
f
(
p
)
=
(
n
+
1
)
!
k
!
(
n
-
k
)
!
p
k
(
1
-
p
)
n
-
k
for
0
≤
p
≤
1
Doc 22
0.3525, 0.3525
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/An_Essay_towards_solving_a_Problem_in_the_Doctrine_of_Chances.html
(
n
i
)
=
n
!
i
!
(
n
-
i
)
!
Doc 23
0.3519, 0.3519
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Bézier_curve.html
Doc 26
0.3519, 0.3519
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bézier_surface.html
(
n
k
)
=
n
!
k
!
(
n
-
k
)
!
Doc 4
0.4524, 1.0863
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_theorem.html
Doc 21
0.3540, 1.0037
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_distribution.html
Doc 27
0.3519, 0.3519
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Lottery_mathematics.html
Doc 28
0.3519, 0.3519
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/General_Leibniz_rule.html
(
n
m
)
=
n
!
m
!
(
n
-
m
)
!
Doc 29
0.3519, 0.3519
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Hypercube.html
(
n
p
)
=
n
!
p
!
(
n
-
p
)
!
Doc 25
0.3519, 0.3519
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Inclusion–exclusion_principle.html
(
n
r
)
=
n
!
r
!
(
n
-
r
)
!
Doc 24
0.3519, 0.3519
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Pascal's_triangle.html
(
n
i
)
=
n
!
i
!
(
n
-
i
)
!
,
Doc 32
0.3423, 0.3423
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Proofs_of_Fermat's_little_theorem.html
(
n
k
)
=
n
!
k
!
(
n
-
k
)
!
,
Doc 5
0.4524, 0.7947
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Combination.html
Doc 30
0.3423, 0.3423
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Cake_number.html
(
n
k
)
=
n
!
k
!
(
n
-
k
)
!
.
Doc 33
0.3423, 0.3423
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Mashreghi–Ransford_inequality.html
Doc 34
0.3423, 0.3423
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Gamma_function.html
Doc 35
0.3423, 0.3423
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Recurrence_relation.html
(
p
n
)
=
p
!
n
!
(
p
-
n
)
!
.
Doc 31
0.3423, 0.3423
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Freshman's_dream.html
2
p
(
1
-
p
)
Doc 38
0.3380, 0.3380
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Wahlund_effect.html
Doc 39
0.3380, 0.3380
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Fixation_index.html
F
p
(
1
-
p
)
Doc 36
0.3380, 0.3380
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Balding–Nichols_model.html
n
p
(
1
-
p
)
Doc 15
0.4151, 1.4122
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/(a,b,0)_class_of_distributions.html
Doc 37
0.3380, 0.3380
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Concentration_inequality.html
W
(
n
,
N
)
=
(
N
n
)
=
N
!
n
!
(
N
-
n
)
!
Doc 40
0.3354, 0.3354
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Multiplicity_function_for_N_noninteracting_spins.html
(
N
-
1
)
(
1
-
p
)
Doc 20
0.3611, 0.6944
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Complex_network_zeta_function.html
f
(
k
)
=
p
k
(
1
-
p
)
1
-
k
Doc 41
0.3333, 0.6124
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Maximum_entropy_probability_distribution.html
n
!
(
k
-
1
)
!
(
n
-
k
)
!
u
k
-
1
(
1
-
u
)
n
-
k
d
u
+
O
(
d
u
2
)
,
Doc 42
0.3280, 0.5829
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Order_statistic.html
D
f
=
L
!
N
f
!
(
L
-
N
f
)
!
.
Doc 43
0.3279, 0.6313
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Bose–Hubbard_model.html
r
p
2
(
1
-
p
)
Doc 45
0.3243, 0.3243
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Template:Negative_binomial_distribution.html
g
(
k
;
p
)
=
p
(
1
-
p
)
k
-
1
Doc 44
0.3243, 0.3243
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Yule–Simon_distribution.html
p
3
(
1
-
p
)
9
Doc 46
0.3188, 0.3188
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Likelihood_principle.html
|
C
k
|
≤
c
k
!
n
!
(
k
-
n
)
!
Doc 47
0.3167, 0.3167
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Ramsey's_theorem.html
e
h
k
p
k
(
1
-
p
)
n
-
k
1
-
p
+
p
e
h
Doc 48
0.3125, 0.5946
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Esscher_transform.html
1
p
(
1
-
p
)
Doc 11
0.4322, 0.7377
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Rule_of_succession.html
Doc 49
0.3056, 0.5693
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bernoulli_distribution.html
D
b
=
(
N
b
+
L
-
1
)
!
N
b
!
(
L
-
1
)
!
Doc 43
0.3279, 0.6313
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Bose–Hubbard_model.html
N
x
N
=
(
1
-
p
)
p
x
-
1
Doc 50
0.3011, 0.3011
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Step-growth_polymerization.html
p
1
p
2
(
1
-
p
3
)
Doc 51
0.3000, 1.1172
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Credit_default_swap.html
(
N
-
r
i
)
×
(
N
-
r
i
)
Doc 53
0.2989, 0.5977
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Cochran's_theorem.html
Doc 53
0.2989, 0.5977
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Cochran's_theorem.html
p
1
-
(
1
-
p
)
e
t
Doc 52
0.2989, 1.1159
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Geometric_distribution.html
X
-
n
p
n
p
(
1
-
p
)
Doc 21
0.3540, 1.0037
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_distribution.html
(
d
i
m
)
p
σ
m
(
1
-
p
σ
)
(
d
i
-
m
)
Doc 54
0.2936, 0.2936
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Incomplete_information_network_game.html
n
!
(
n
-
k
)
!
k
!
(
w
d
)
k
-
2
Doc 55
0.2917, 0.2917
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Alignments_of_random_points.html
12
-
ρ
8
μ
(
1
-
ρ
)
Doc 56
0.2892, 0.2892
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Fork–join_queue.html
p
(
1
-
p
)
n
f
(
x
p
)
2
Doc 57
0.2889, 0.2889
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Median.html
-
β
(
1
-
p
)
ln
p
(
β
-
t
)
hypergeom
2
,
1
Doc 58
0.2881, 0.2881
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Exponential-logarithmic_distribution.html
p
d
i
(
1
-
p
)
n
i
b
-
d
i
2
-
(
N
-
n
i
)
b
Doc 59
0.2879, 0.2879
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Sequential_decoding.html
(
2
n
)
!
(
n
+
1
)
!
(
n
+
1
)
!
Doc 60
0.2857, 0.2857
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Hoon_Balakram.html
n
!
(
n
-
r
)
!
r
!
μ
r
(
1
-
μ
)
n
-
r
→
e
-
λ
λ
r
r
!
.
Doc 61
0.2840, 0.2840
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Return_period.html
p
e
t
1
-
(
1
-
p
)
e
t
Doc 52
0.2989, 1.1159
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Geometric_distribution.html
Doc 62
0.2826, 0.7984
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Moment-generating_function.html
s
2
=
n
p
(
1
-
p
)
Doc 63
0.2824, 0.8413
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Taylor's_law.html
Doc 63
0.2824, 0.8413
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Taylor's_law.html
n
!
(
n
-
k
)
!
k
!
Doc 4
0.4524, 1.0863
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_theorem.html
(
n
k
)
e
h
k
p
k
(
1
-
p
)
n
-
k
(
1
-
p
+
p
e
h
)
n
Doc 48
0.3125, 0.5946
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Esscher_transform.html
1
p
(
1
-
p
)
Doc 64
0.2821, 0.5641
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Beta_distribution.html
Doc 64
0.2821, 0.5641
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Beta_distribution.html
p
(
1
-
p
)
Doc 66
0.2817, 0.2817
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Mean_absolute_difference.html
N
=
(
t
e
)
=
t
!
e
!
(
t
-
e
)
!
.
Doc 65
0.2817, 0.2817
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Term_symbol.html
p
1
-
(
1
-
p
)
e
i
t
Doc 52
0.2989, 1.1159
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Geometric_distribution.html
f
(
k
)
=
(
n
k
)
p
k
(
1
-
p
)
n
-
k
Doc 41
0.3333, 0.6124
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Maximum_entropy_probability_distribution.html
p
1
(
1
-
p
2
)
Doc 51
0.3000, 1.1172
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Credit_default_swap.html
p
x
(
1
-
p
y
)
Doc 67
0.2778, 0.2778
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Odds_ratio.html
s
2
=
a
p
b
(
1
-
p
)
c
Doc 63
0.2824, 0.8413
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Taylor's_law.html
(
1
-
p
1
)
N
(
1
-
R
)
δ
1
Doc 51
0.3000, 1.1172
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Credit_default_swap.html
[
n
]
q
!
[
m
]
q
!
[
n
-
m
]
q
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Doc 6
0.4524, 0.7232
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Field_with_one_element.html
v
1
(
1
-
z
)
J
1
+
(
1
-
z
)
Doc 68
0.2708, 0.2708
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Goldbeter–Koshland_kinetics.html
α
=
4
p
(
1
-
p
)
.
Doc 69
0.2697, 0.2697
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Quantile_function.html
p
1
p
2
p
3
(
1
-
p
4
)
Doc 51
0.3000, 1.1172
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Credit_default_swap.html
p
(
k
)
=
(
n
k
)
p
k
(
1
-
p
)
n
-
k
,
Doc 70
0.2667, 0.2667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Variance.html
(
g
-
1
+
n
)
!
(
g
-
1
)
!
n
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Doc 71
0.2653, 0.2653
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bose–Einstein_statistics.html
(
1
-
p
)
n
-
k
Doc 12
0.4321, 1.0945
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Poisson_limit_theorem.html
Var
(
X
)
=
p
(
1
-
p
)
.
Doc 49
0.3056, 0.5693
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bernoulli_distribution.html
<
k
≥
p
(
N
-
1
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Doc 72
0.2619, 0.2619
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Network_science.html
n
p
,
n
p
(
1
-
p
)
Doc 3
0.4524, 1.3622
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_coefficient.html
(
N
2
e
(
M
+
N
)
)
N
-
1
Doc 73
0.2609, 0.2609
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Turán's_method.html
(
1
-
p
)
k
-
1
p
Doc 62
0.2826, 0.7984
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Moment-generating_function.html
ℓ
p
(
1
-
d
j
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Doc 74
0.2597, 0.2597
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Jaro–Winkler_distance.html
d
p
d
t
=
m
p
(
1
-
p
)
-
e
p
Doc 75
0.2593, 0.2593
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Theoretical_ecology.html
P
N
(
N
R
)
=
N
!
2
N
N
R
!
(
N
-
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R
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Doc 14
0.4194, 0.6758
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Brownian_motion.html
n
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1
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Doc 42
0.3280, 0.5829
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Order_statistic.html
p
e
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t
1
-
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1
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Doc 52
0.2989, 1.1159
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Geometric_distribution.html
Doc 62
0.2826, 0.7984
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Moment-generating_function.html
-
ln
(
1
-
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Doc 76
0.2535, 0.2535
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Exponential_family.html
(
n
k
)
=
n
!
k
!
(
n
-
k
)
!
for
0
≤
k
≤
n
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Doc 3
0.4524, 1.3622
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_coefficient.html
9
N
2
+
9
N
+
6
N
(
N
-
1
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(
N
-
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Doc 77
0.2500, 0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Multi-fractional_order_estimator.html
p
^
±
z
1
n
p
^
(
1
-
p
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Doc 78
0.2500, 0.2500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Binomial_proportion_confidence_interval.html
(
1
-
p
)
(
r
-
1
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Doc 15
0.4151, 1.4122
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/(a,b,0)_class_of_distributions.html
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i
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1
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p
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x
i
=
p
T
(
x
)
(
1
-
p
)
n
-
T
(
x
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Doc 79
0.2485, 0.2485
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Sufficient_statistic.html
N
(
k
,
n
)
=
(
n
k
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n
!
k
!
(
n
-
k
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Doc 80
0.2484, 0.2484
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bernoulli_process.html
Pr
(
N
p
=
n
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=
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1
-
p
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n
-
1
p
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Doc 81
0.2478, 0.2478
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Geometric_stable_distribution.html
(
N
B
)
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/
(
N
-
M
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Doc 82
0.2469, 0.2469
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Siegel's_lemma.html
Q
2
F
(
1
-
x
)
Doc 83
0.2466, 0.2466
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Economic_production_quantity.html
N
e
(
v
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p
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1
-
p
)
2
var
^
(
p
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.
Doc 84
0.2456, 0.2456
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Effective_population_size.html
i
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/
2
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(
i
-
2
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Doc 85
0.2449, 0.2449
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/DNA_microarray.html