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 1220.712 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
0.7136, 0.7136
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Statistical_coupling_analysis.html
c
!
s
!
(
c
-
s
)
!
Doc 6
0.5747, 0.5747
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Proportional_approval_voting.html
n
!
k
!
(
n
-
k
)
!
Doc 2
0.5747, 1.5373
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_coefficient.html
Doc 3
0.5747, 1.2842
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_theorem.html
Doc 4
0.5747, 1.0133
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Combination.html
n
!
m
!
(
n
-
m
)
!
Doc 5
0.5747, 0.9271
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Field_with_one_element.html
Doc 7
0.5747, 0.5747
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Kummer's_theorem.html
p
!
k
!
(
p
-
k
)
!
,
Doc 8
0.5682, 0.5682
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Frobenius_endomorphism.html
(
N
N
R
)
=
N
!
N
R
!
(
N
-
N
R
)
!
Doc 9
0.5241, 0.8940
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Brownian_motion.html
f
(
p
)
=
(
n
+
1
)
!
s
!
(
n
-
s
)
!
p
s
(
1
-
p
)
n
-
s
.
Doc 10
0.5000, 0.7933
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Rule_of_succession.html
8
!
4
!
(
8
-
4
)
!
=
70
Doc 11
0.4667, 0.4667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Lady_tasting_tea.html
D
f
=
L
!
N
f
!
(
L
-
N
f
)
!
.
Doc 12
0.4630, 0.7287
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Bose–Hubbard_model.html
(
n
i
)
=
n
!
i
!
(
n
-
i
)
!
Doc 15
0.4505, 0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Bézier_curve.html
Doc 18
0.4505, 0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bézier_surface.html
(
n
k
)
=
n
!
k
!
(
n
-
k
)
!
Doc 3
0.5747, 1.2842
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_theorem.html
Doc 13
0.4505, 0.8669
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_distribution.html
Doc 14
0.4505, 0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Lottery_mathematics.html
Doc 20
0.4505, 0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/General_Leibniz_rule.html
(
n
m
)
=
n
!
m
!
(
n
-
m
)
!
Doc 19
0.4505, 0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Hypercube.html
(
n
p
)
=
n
!
p
!
(
n
-
p
)
!
Doc 17
0.4505, 0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Inclusion–exclusion_principle.html
(
n
r
)
=
n
!
r
!
(
n
-
r
)
!
Doc 16
0.4505, 0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Pascal's_triangle.html
Ω
c
o
n
f
=
N
S
!
N
!
(
N
S
-
N
)
!
Doc 21
0.4496, 0.4496
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Langmuir_adsorption_model.html
(
n
i
)
=
n
!
i
!
(
n
-
i
)
!
,
Doc 27
0.4386, 0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Proofs_of_Fermat's_little_theorem.html
(
n
k
)
=
n
!
k
!
(
n
-
k
)
!
,
Doc 4
0.5747, 1.0133
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Combination.html
Doc 22
0.4386, 0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Cake_number.html
(
n
k
)
=
n
!
k
!
(
n
-
k
)
!
.
Doc 23
0.4386, 0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Gamma_function.html
Doc 24
0.4386, 0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Mashreghi–Ransford_inequality.html
Doc 25
0.4386, 0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Recurrence_relation.html
(
p
n
)
=
p
!
n
!
(
p
-
n
)
!
.
Doc 26
0.4386, 0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Freshman's_dream.html
2
N
p
K
(
1
-
p
)
N
-
K
W
.
Doc 28
0.4375, 0.4375
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Kelly_criterion.html
n
!
(
k
-
1
)
!
(
n
-
k
)
!
u
k
-
1
(
1
-
u
)
n
-
k
d
u
+
O
(
d
u
2
)
,
Doc 29
0.4200, 0.6688
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Order_statistic.html
(
n
k
)
p
k
(
1
-
p
)
n
-
k
Doc 30
0.4176, 1.2593
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/(a,b,0)_class_of_distributions.html
Doc 31
0.4176, 0.4176
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bean_machine.html
n
!
(
n
-
k
)
!
k
!
p
k
(
1
-
p
)
n
-
k
→
e
-
λ
λ
k
k
!
.
Doc 32
0.4153, 1.1250
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Poisson_limit_theorem.html
f
(
p
)
=
(
n
+
1
)
!
k
!
(
n
-
k
)
!
p
k
(
1
-
p
)
n
-
k
for
0
≤
p
≤
1
Doc 33
0.4089, 0.4089
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/An_Essay_towards_solving_a_Problem_in_the_Doctrine_of_Chances.html
|
C
k
|
≤
c
k
!
n
!
(
k
-
n
)
!
Doc 34
0.4065, 0.4065
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Ramsey's_theorem.html
(
n
k
)
p
k
(
1
-
p
)
n
-
k
.
Doc 2
0.5747, 1.5373
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_coefficient.html
p
M
(
1
-
p
)
(
n
2
)
-
M
.
Doc 35
0.3864, 0.3864
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Erdős–Rényi_model.html
p
n
(
k
)
=
n
!
(
n
-
k
)
!
k
!
p
k
(
1
-
p
)
n
-
k
.
Doc 32
0.4153, 1.1250
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Poisson_limit_theorem.html
P
N
(
N
R
)
=
N
!
2
N
N
R
!
(
N
-
N
R
)
!
Doc 9
0.5241, 0.8940
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 30
0.4176, 1.2593
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/(a,b,0)_class_of_distributions.html
W
(
n
,
N
)
=
(
N
n
)
=
N
!
n
!
(
N
-
n
)
!
Doc 36
0.3537, 0.3537
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Multiplicity_function_for_N_noninteracting_spins.html
n
!
(
n
-
r
)
!
r
!
μ
r
(
1
-
μ
)
n
-
r
→
e
-
λ
λ
r
r
!
.
Doc 37
0.3534, 0.3534
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Return_period.html
[
n
]
q
!
[
m
]
q
!
[
n
-
m
]
q
!
Doc 5
0.5747, 0.9271
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Field_with_one_element.html
(
1
-
p
2
)
N
-
2
Doc 38
0.3467, 0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Complex_network_zeta_function.html
N
=
(
t
e
)
=
t
!
e
!
(
t
-
e
)
!
.
Doc 39
0.3448, 0.3448
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Term_symbol.html
p
3
(
1
-
p
)
9
Doc 40
0.3333, 0.3333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Likelihood_principle.html
(
2
n
)
!
(
n
+
1
)
!
(
n
+
1
)
!
Doc 41
0.3326, 0.3326
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Hoon_Balakram.html
(
n
k
)
=
n
!
k
!
(
n
-
k
)
!
for
0
≤
k
≤
n
,
Doc 2
0.5747, 1.5373
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_coefficient.html
i
!
/
2
!
(
i
-
2
)
!
Doc 42
0.3267, 0.3267
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/DNA_microarray.html
(
1
-
p
)
n
-
k
Doc 32
0.4153, 1.1250
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Poisson_limit_theorem.html
(
1
-
p
)
k
-
1
p
Doc 43
0.3194, 0.6001
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Moment-generating_function.html
g
(
k
;
p
)
=
p
(
1
-
p
)
k
-
1
Doc 44
0.3158, 0.3158
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Yule–Simon_distribution.html
p
∑
x
i
(
1
-
p
)
n
-
∑
x
i
=
p
T
(
x
)
(
1
-
p
)
n
-
T
(
x
)
Doc 45
0.3122, 0.3122
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Sufficient_statistic.html
r
p
2
(
1
-
p
)
Doc 46
0.3117, 0.3117
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Template:Negative_binomial_distribution.html
f
(
k
)
=
p
k
(
1
-
p
)
1
-
k
Doc 47
0.3063, 0.5942
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Maximum_entropy_probability_distribution.html
N
(
k
,
n
)
=
(
n
k
)
=
n
!
k
!
(
n
-
k
)
!
Doc 48
0.3049, 0.3049
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bernoulli_process.html
2
p
(
1
-
p
)
Doc 50
0.2973, 0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Wahlund_effect.html
Doc 53
0.2973, 0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Fixation_index.html
F
p
(
1
-
p
)
Doc 51
0.2973, 0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Balding–Nichols_model.html
n
p
(
1
-
p
)
Doc 30
0.4176, 1.2593
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/(a,b,0)_class_of_distributions.html
Doc 49
0.2973, 0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Concentration_inequality.html
p
(
1
-
p
)
Doc 52
0.2973, 0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Mean_absolute_difference.html
1
p
(
1
-
p
)
Doc 10
0.5000, 0.7933
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Rule_of_succession.html
Doc 55
0.2933, 0.5274
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bernoulli_distribution.html
p
1
(
1
-
p
2
)
Doc 54
0.2933, 0.9488
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Credit_default_swap.html
p
x
(
1
-
p
y
)
Doc 56
0.2933, 0.2933
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Odds_ratio.html
e
h
k
p
k
(
1
-
p
)
n
-
k
1
-
p
+
p
e
h
Doc 57
0.2901, 0.5291
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Esscher_transform.html
f
(
k
)
=
(
n
k
)
p
k
(
1
-
p
)
n
-
k
Doc 47
0.3063, 0.5942
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Maximum_entropy_probability_distribution.html
(
2
N
)
!
k
!
(
2
N
-
k
)
!
p
k
q
2
N
-
k
Doc 58
0.2781, 0.2781
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Genetic_drift.html
Q
2
F
(
1
-
x
)
Doc 59
0.2763, 0.2763
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Economic_production_quantity.html
Ω
=
(
q
+
N
′
-
1
)
!
q
!
(
N
′
-
1
)
!
Doc 60
0.2763, 0.2763
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Einstein_solid.html
p
(
k
)
=
(
n
k
)
p
k
(
1
-
p
)
n
-
k
,
Doc 61
0.2754, 0.2754
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Variance.html
1
p
(
1
-
p
)
Doc 62
0.2716, 0.5432
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Beta_distribution.html
Doc 62
0.2716, 0.5432
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Beta_distribution.html
N
x
N
=
(
1
-
p
)
p
x
-
1
Doc 63
0.2708, 0.2708
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Step-growth_polymerization.html
p
d
i
(
1
-
p
)
n
i
b
-
d
i
2
-
(
N
-
n
i
)
b
Doc 64
0.2695, 0.2695
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Sequential_decoding.html
s
2
=
a
p
b
(
1
-
p
)
c
Doc 65
0.2680, 0.7680
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Taylor's_law.html
D
b
=
(
N
b
+
L
-
1
)
!
N
b
!
(
L
-
1
)
!
Doc 12
0.4630, 0.7287
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Bose–Hubbard_model.html
p
1
p
2
(
1
-
p
3
)
Doc 54
0.2933, 0.9488
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Credit_default_swap.html
p
^
±
z
1
n
p
^
(
1
-
p
^
)
Doc 66
0.2595, 0.2595
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Binomial_proportion_confidence_interval.html
n
!
(
n
-
k
)
!
k
!
Doc 3
0.5747, 1.2842
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_theorem.html
s
2
=
n
p
(
1
-
p
)
Doc 65
0.2680, 0.7680
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Taylor's_law.html
Doc 65
0.2680, 0.7680
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Taylor's_law.html
n
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(
k
-
1
)
!
(
n
-
k
)
!
u
k
-
1
⋅
d
u
⋅
(
1
-
u
-
d
u
)
n
-
k
Doc 29
0.4200, 0.6688
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Order_statistic.html
α
=
4
p
(
1
-
p
)
.
Doc 67
0.2391, 0.2391
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Quantile_function.html
(
n
k
)
e
h
k
p
k
(
1
-
p
)
n
-
k
(
1
-
p
+
p
e
h
)
n
Doc 57
0.2901, 0.5291
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Esscher_transform.html
p
1
p
2
p
3
(
1
-
p
4
)
Doc 54
0.2933, 0.9488
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Credit_default_swap.html
p
(
1
-
p
)
n
f
(
x
p
)
2
Doc 68
0.2366, 0.2366
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Median.html
Var
(
X
)
=
p
(
1
-
p
)
.
Doc 55
0.2933, 0.5274
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bernoulli_distribution.html
n
p
,
n
p
(
1
-
p
)
Doc 2
0.5747, 1.5373
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_coefficient.html
n
!
(
n
-
k
)
!
k
!
(
w
d
)
k
-
2
Doc 69
0.2293, 0.2293
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Alignments_of_random_points.html
X
-
n
p
n
p
(
1
-
p
)
Doc 13
0.4505, 0.8669
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 70
0.2143, 0.2143
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Incomplete_information_network_game.html
(
g
-
1
+
n
)
!
(
g
-
1
)
!
n
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Doc 71
0.2045, 0.2045
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bose–Einstein_statistics.html
Pr
(
N
p
=
n
)
=
(
1
-
p
)
n
-
1
p
.
Doc 72
0.1983, 0.1983
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Geometric_stable_distribution.html
d
p
d
t
=
m
p
(
1
-
p
)
-
e
p
Doc 73
0.1982, 0.1982
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Theoretical_ecology.html
1
-
6
p
(
1
-
p
)
n
p
(
1
-
p
)
Doc 13
0.4505, 0.8669
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_distribution.html
-
ln
(
1
-
p
)
Doc 74
0.1892, 0.1892
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Exponential_family.html
N
e
(
v
)
=
p
(
1
-
p
)
2
var
^
(
p
)
.
Doc 75
0.1880, 0.1880
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Effective_population_size.html
(
1
-
p
)
(
r
-
1
)
Doc 30
0.4176, 1.2593
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/(a,b,0)_class_of_distributions.html
(
N
-
1
)
(
1
-
p
)
Doc 38
0.3467, 0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Complex_network_zeta_function.html
(
N
-
r
i
)
×
(
N
-
r
i
)
Doc 76
0.1787, 0.3573
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Cochran's_theorem.html
Doc 76
0.1787, 0.3573
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Cochran's_theorem.html
ℓ
p
(
1
-
d
j
)
Doc 77
0.1750, 0.1750
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Jaro–Winkler_distance.html
(
N
B
)
M
/
(
N
-
M
)
.
Doc 78
0.1667, 0.1667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Siegel's_lemma.html
<
k
≥
p
(
N
-
1
)
Doc 79
0.1609, 0.1609
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Network_science.html
p
1
-
(
1
-
p
)
e
t
Doc 80
0.1556, 0.5821
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Geometric_distribution.html
(
1
-
p
1
)
N
(
1
-
R
)
δ
1
Doc 54
0.2933, 0.9488
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Credit_default_swap.html
(
N
2
e
(
M
+
N
)
)
N
-
1
Doc 81
0.1474, 0.1474
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Turán's_method.html
p
e
t
1
-
(
1
-
p
)
e
t
Doc 43
0.3194, 0.6001
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Moment-generating_function.html
Doc 80
0.1556, 0.5821
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Geometric_distribution.html
p
1
-
(
1
-
p
)
e
i
t
Doc 80
0.1556, 0.5821
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Geometric_distribution.html
p
e
i
t
1
-
(
1
-
p
)
e
i
t
Doc 43
0.3194, 0.6001
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Moment-generating_function.html
Doc 80
0.1556, 0.5821
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Geometric_distribution.html
12
-
ρ
8
μ
(
1
-
ρ
)
Doc 82
0.1279, 0.1279
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Fork–join_queue.html
-
β
(
1
-
p
)
ln
p
(
β
-
t
)
hypergeom
2
,
1
Doc 83
0.1157, 0.1157
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Exponential-logarithmic_distribution.html
9
N
2
+
9
N
+
6
N
(
N
-
1
)
(
N
-
2
)
Doc 84
0.1138, 0.1138
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Multi-fractional_order_estimator.html
v
1
(
1
-
z
)
J
1
+
(
1
-
z
)
Doc 85
0.1111, 0.1111
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Goldbeter–Koshland_kinetics.html