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 ]

Doc 1
0.7136
0.7136
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Statistical_coupling_analysis.html
P i x = N ! n x ! ( N - n x ) ! p x n x ( 1 - p x ) N - n x

Doc 2
0.5747
1.5373
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_coefficient.html
n ! k ! ( n - k ) !
( n k ) p k ( 1 - p ) n - k .
( n k ) = n ! k ! ( n - k ) ! for 0 k n ,
n p , n p ( 1 - p )

Doc 3
0.5747
1.2842
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_theorem.html
n ! k ! ( n - k ) !
( n k ) = n ! k ! ( n - k ) !
n ! ( n - k ) ! k !
Doc 4
0.5747
1.0133
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Combination.html
n ! k ! ( n - k ) !
( n k ) = n ! k ! ( n - k ) ! ,

Doc 5
0.5747
0.9271
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Field_with_one_element.html
n ! m ! ( n - m ) !
[ n ] q ! [ m ] q ! [ n - m ] q !

Doc 6
0.5747
0.5747
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Proportional_approval_voting.html
c ! s ! ( c - s ) !

Doc 7
0.5747
0.5747
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Kummer's_theorem.html
n ! m ! ( n - m ) !

Doc 8
0.5682
0.5682
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Frobenius_endomorphism.html
p ! k ! ( p - k ) ! ,

Doc 9
0.5241
0.8940
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Brownian_motion.html
( N N R ) = N ! N R ! ( N - N R ) !
P N ( N R ) = N ! 2 N N R ! ( N - N R ) !

Doc 10
0.5000
0.7933
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Rule_of_succession.html
f ( p ) = ( n + 1 ) ! s ! ( n - s ) ! p s ( 1 - p ) n - s .
1 p ( 1 - p )

Doc 11
0.4667
0.4667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Lady_tasting_tea.html
8 ! 4 ! ( 8 - 4 ) ! = 70

Doc 12
0.4630
0.7287
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Bose–Hubbard_model.html
D f = L ! N f ! ( L - N f ) ! .
D b = ( N b + L - 1 ) ! N b ! ( L - 1 ) !

Doc 13
0.4505
0.8669
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binomial_distribution.html
( n k ) = n ! k ! ( n - k ) !
X - n p n p ( 1 - p )
1 - 6 p ( 1 - p ) n p ( 1 - p )
Doc 14
0.4505
0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Lottery_mathematics.html
( n k ) = n ! k ! ( n - k ) !

Doc 15
0.4505
0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Bézier_curve.html
( n i ) = n ! i ! ( n - i ) !

Doc 16
0.4505
0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Pascal's_triangle.html
( n r ) = n ! r ! ( n - r ) !

Doc 17
0.4505
0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Inclusion–exclusion_principle.html
( n p ) = n ! p ! ( n - p ) !

Doc 18
0.4505
0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bézier_surface.html
( n i ) = n ! i ! ( n - i ) !

Doc 19
0.4505
0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Hypercube.html
( n m ) = n ! m ! ( n - m ) !

Doc 20
0.4505
0.4505
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/General_Leibniz_rule.html
( n k ) = n ! k ! ( n - k ) !

Doc 21
0.4496
0.4496
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Langmuir_adsorption_model.html
Ω c o n f = N S ! N ! ( N S - N ) !

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
( n k ) = n ! k ! ( n - k ) ! .

Doc 24
0.4386
0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Mashreghi–Ransford_inequality.html
( n k ) = n ! k ! ( n - k ) ! .

Doc 25
0.4386
0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Recurrence_relation.html
( n k ) = n ! k ! ( n - k ) ! .

Doc 26
0.4386
0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Freshman's_dream.html
( p n ) = p ! n ! ( p - n ) ! .

Doc 27
0.4386
0.4386
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Proofs_of_Fermat's_little_theorem.html
( n i ) = n ! i ! ( n - i ) ! ,

Doc 28
0.4375
0.4375
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Kelly_criterion.html
2 N p K ( 1 - p ) N - K W .

Doc 29
0.4200
0.6688
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Order_statistic.html
n ! ( k - 1 ) ! ( n - k ) ! u k - 1 ( 1 - u ) n - k d u + O ( d u 2 ) ,
n ! ( k - 1 ) ! ( n - k ) ! u k - 1 d u ( 1 - u - d u ) 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
( n k ) p k ( 1 - p ) n - k
Γ ( r + k ) k ! Γ ( r ) p r ( 1 - p ) k
n p ( 1 - p )
( 1 - p ) ( r - 1 )

Doc 31
0.4176
0.4176
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bean_machine.html
( n 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
n ! ( n - k ) ! k ! p k ( 1 - p ) n - k e - λ λ k k ! .
p n ( k ) = n ! ( n - k ) ! k ! p k ( 1 - p ) n - k .
( 1 - p ) n - k
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
f ( p ) = ( n + 1 ) ! k ! ( n - k ) ! p k ( 1 - p ) n - k for 0 p 1

Doc 34
0.4065
0.4065
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Ramsey's_theorem.html
| C k | c k ! n ! ( k - n ) !

Doc 35
0.3864
0.3864
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Erdős–Rényi_model.html
p M ( 1 - p ) ( n 2 ) - M .

Doc 36
0.3537
0.3537
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Multiplicity_function_for_N_noninteracting_spins.html
W ( n , N ) = ( N n ) = N ! n ! ( N - n ) !

Doc 37
0.3534
0.3534
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Return_period.html
n ! ( n - r ) ! r ! μ r ( 1 - μ ) n - r e - λ λ r r ! .

Doc 38
0.3467
0.5333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Complex_network_zeta_function.html
( 1 - p 2 ) N - 2
( N - 1 ) ( 1 - p )

Doc 39
0.3448
0.3448
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Term_symbol.html
N = ( t e ) = t ! e ! ( t - e ) ! .

Doc 40
0.3333
0.3333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Likelihood_principle.html
p 3 ( 1 - p ) 9

Doc 41
0.3326
0.3326
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Hoon_Balakram.html
( 2 n ) ! ( n + 1 ) ! ( n + 1 ) !

Doc 42
0.3267
0.3267
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/DNA_microarray.html
i ! / 2 ! ( i - 2 ) !

Doc 43
0.3194
0.6001
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Moment-generating_function.html
( 1 - p ) k - 1 p
p e t 1 - ( 1 - p ) e t
p e i t 1 - ( 1 - p ) e i t
Doc 44
0.3158
0.3158
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Yule–Simon_distribution.html
g ( k ; p ) = p ( 1 - p ) k - 1

Doc 45
0.3122
0.3122
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Sufficient_statistic.html
p x i ( 1 - p ) n - x i = p T ( x ) ( 1 - p ) n - T ( x )

Doc 46
0.3117
0.3117
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Template:Negative_binomial_distribution.html
r p 2 ( 1 - p )

Doc 47
0.3063
0.5942
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Maximum_entropy_probability_distribution.html
f ( k ) = p k ( 1 - p ) 1 - k
f ( k ) = ( n k ) p k ( 1 - p ) n - k

Doc 48
0.3049
0.3049
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bernoulli_process.html
N ( k , n ) = ( n k ) = n ! k ! ( n - k ) !

Doc 49
0.2973
0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Concentration_inequality.html
n p ( 1 - p )

Doc 50
0.2973
0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Wahlund_effect.html
2 p ( 1 - p )

Doc 51
0.2973
0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Balding–Nichols_model.html
F p ( 1 - p )

Doc 52
0.2973
0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Mean_absolute_difference.html
p ( 1 - p )

Doc 53
0.2973
0.2973
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Fixation_index.html
2 p ( 1 - p )

Doc 54
0.2933
0.9488
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Credit_default_swap.html
p 1 ( 1 - p 2 )
p 1 p 2 ( 1 - p 3 )
p 1 p 2 p 3 ( 1 - p 4 )
( 1 - p 1 ) N ( 1 - R ) δ 1

Doc 55
0.2933
0.5274
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bernoulli_distribution.html
1 p ( 1 - p )
Var ( X ) = p ( 1 - p ) .

Doc 56
0.2933
0.2933
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Odds_ratio.html
p x ( 1 - p y )

Doc 57
0.2901
0.5291
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Esscher_transform.html
e h k p k ( 1 - p ) n - k 1 - p + p e h
( n k ) e h k p k ( 1 - p ) n - k ( 1 - p + p e h ) n

Doc 58
0.2781
0.2781
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Genetic_drift.html
( 2 N ) ! k ! ( 2 N - k ) ! p k q 2 N - k

Doc 59
0.2763
0.2763
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Economic_production_quantity.html
Q 2 F ( 1 - x )

Doc 60
0.2763
0.2763
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Einstein_solid.html
Ω = ( q + N - 1 ) ! q ! ( N - 1 ) !

Doc 61
0.2754
0.2754
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Variance.html
p ( k ) = ( n k ) p k ( 1 - p ) n - k ,

Doc 62
0.2716
0.5432
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Beta_distribution.html
1 p ( 1 - p )
1 p ( 1 - p )

Doc 63
0.2708
0.2708
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Step-growth_polymerization.html
N x N = ( 1 - p ) p x - 1

Doc 64
0.2695
0.2695
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Sequential_decoding.html
p d i ( 1 - p ) n i b - d i 2 - ( N - n i ) b

Doc 65
0.2680
0.7680
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Taylor's_law.html
s 2 = a p b ( 1 - p ) c
s 2 = n p ( 1 - p )
s 2 = 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
p ^ ± z 1 n p ^ ( 1 - p ^ )

Doc 67
0.2391
0.2391
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Quantile_function.html
α = 4 p ( 1 - p ) .

Doc 68
0.2366
0.2366
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Median.html
p ( 1 - p ) n f ( x p ) 2

Doc 69
0.2293
0.2293
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Alignments_of_random_points.html
n ! ( n - k ) ! k ! ( w d ) k - 2

Doc 70
0.2143
0.2143
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Incomplete_information_network_game.html
( d i m ) p σ m ( 1 - p σ ) ( d i - m )

Doc 71
0.2045
0.2045
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Bose–Einstein_statistics.html
( g - 1 + n ) ! ( g - 1 ) ! n !

Doc 72
0.1983
0.1983
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Geometric_stable_distribution.html
Pr ( N p = n ) = ( 1 - p ) n - 1 p .

Doc 73
0.1982
0.1982
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Theoretical_ecology.html
d p d t = m p ( 1 - p ) - e p

Doc 74
0.1892
0.1892
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Exponential_family.html
- ln ( 1 - p )

Doc 75
0.1880
0.1880
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Effective_population_size.html
N e ( v ) = p ( 1 - p ) 2 var ^ ( p ) .

Doc 76
0.1787
0.3573
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Cochran's_theorem.html
( N - r i ) × ( N - r i )
( N - r i ) × ( N - r i )

Doc 77
0.1750
0.1750
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Jaro–Winkler_distance.html
p ( 1 - d j )

Doc 78
0.1667
0.1667
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Siegel's_lemma.html
( N B ) M / ( N - M ) .

Doc 79
0.1609
0.1609
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Network_science.html
< k p ( N - 1 )

Doc 80
0.1556
0.5821
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Geometric_distribution.html
p 1 - ( 1 - p ) e t
p e t 1 - ( 1 - p ) e t
p 1 - ( 1 - p ) e i t
p e i t 1 - ( 1 - p ) e i t

Doc 81
0.1474
0.1474
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Turán's_method.html
( N 2 e ( M + N ) ) N - 1

Doc 82
0.1279
0.1279
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Fork–join_queue.html
12 - ρ 8 μ ( 1 - ρ )

Doc 83
0.1157
0.1157
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Exponential-logarithmic_distribution.html
- β ( 1 - p ) ln p ( β - t ) hypergeom 2 , 1

Doc 84
0.1138
0.1138
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Multi-fractional_order_estimator.html
9 N 2 + 9 N + 6 N ( N - 1 ) ( N - 2 )

Doc 85
0.1111
0.1111
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Goldbeter–Koshland_kinetics.html
v 1 ( 1 - z ) J 1 + ( 1 - z )