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1
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1
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Search
Returned 73 matches (100 formulae, 90 docs)
Lookup 68.424 ms, Re-ranking 0.156 ms
Found 378329 tuple postings, 78943 formulae, 16863 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
Doc 1
0.6667
3.3315
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Continued_fraction.html
1
15
+
1
1
+
1
102
a
0
+
1
a
1
+
1
a
2
-
3
+
1
2
+
1
18
2
+
1
3
a
0
+
1
a
1
a
0
+
1
a
1
+
1
a
2
+
1
a
3
1
x
=
a
+
1
b
Doc 2
0.5614
1.7522
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Fraction_(mathematics).html
1
+
1
x
1
-
1
x
1
2
+
1
3
1
2
+
1
4
+
1
68
1
2
+
1
6
+
1
21
.
Doc 3
0.5098
0.8399
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Average.html
2
1
60
+
1
40
=
48
n
1
x
1
+
1
x
2
+
⋯
+
1
x
n
Doc 4
0.4923
1.1780
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Padé_table.html
1
+
1
2
z
1
-
1
2
z
1
+
2
3
z
+
1
6
z
2
1
-
1
3
z
1
+
1
3
z
1
-
2
3
z
+
1
6
z
2
Doc 5
0.4737
0.8828
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/List_of_derivatives_and_integrals_in_alternative_calculi.html
1
+
1
x
(
1
+
1
x
)
a
Doc 6
0.4737
0.4737
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Local_case-control_sampling.html
1
+
1
c
Doc 7
0.4727
1.3693
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Scalability.html
1
α
+
1
-
α
P
1
0.3
+
1
-
0.3
4
=
2.105
1
0.3
+
1
-
0.3
8
=
2.581
Doc 8
0.4727
0.4727
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Performance_engineering.html
1
α
+
1
-
α
P
Doc 9
0.4634
0.4634
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Binomial_proportion_confidence_interval.html
p
^
+
1
2
n
z
2
1
+
1
n
z
2
Doc 10
0.4364
0.4364
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Hilbert_transform.html
1
<
1
p
+
1
r
Doc 11
0.4348
0.8194
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Hypoexponential_distribution.html
1
λ
1
+
1
λ
2
1
λ
1
2
+
1
λ
2
2
Doc 12
0.4348
0.4348
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Dual_impedance.html
1
Z
1
+
1
Z
2
Doc 13
0.4211
0.8113
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Half-integer.html
n
+
1
2
ℤ
+
1
2
.
Doc 14
0.4211
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Bram_van_Leer.html
j
+
1
2
Doc 15
0.4211
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Struve_function.html
n
+
1
2
Doc 16
0.4211
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Non-standard_calculus.html
N
+
1
N
Doc 17
0.4186
0.4186
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Singular_integral_operators_of_convolution_type.html
1
p
+
1
q
.
Doc 18
0.4130
0.4130
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Budan's_theorem.html
a
+
1
b
+
1
c
+
1
⋱
Doc 19
0.4082
0.8163
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Unscrupulous_diner's_dilemma.html
1
n
x
+
1
n
h
1
n
x
+
1
n
l
Doc 20
0.4082
0.4082
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Risk_aversion.html
1
2
0
+
1
2
100
Doc 21
0.4038
0.4038
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Vincent's_theorem.html
a
1
+
1
a
2
+
1
a
3
+
1
⋱
Doc 22
0.4028
0.4028
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Fibonacci_number.html
φ
=
1
+
1
1
+
1
1
+
1
1
+
⋱
Doc 23
0.4000
0.7750
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Complex_number.html
3
2
+
1
2
i
-
3
2
+
1
2
i
Doc 24
0.4000
0.4000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/1::4_+_1::16_+_1::64_+_1::256_+_⋯.html
1
4
1
-
1
4
=
1
3
.
Doc 25
0.4000
0.4000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Falconer's_conjecture.html
d
2
+
1
3
Doc 26
0.3942
0.3942
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Apéry's_constant.html
1
+
1
4
+
1
1
+
1
18
+
1
⋱
Doc 27
0.3922
0.3922
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Wythoff's_game.html
1
ϕ
+
1
ϕ
2
=
1 .
Doc 28
0.3889
0.3889
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Tonelli–Shanks_algorithm.html
p
+
1
2
p
=
1
+
1
p
2
Doc 29
0.3881
0.3881
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Solving_quadratic_equations_with_continued_fractions.html
x
=
1
+
1
1
+
x
.
Doc 30
0.3860
0.3860
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Egyptian_fraction.html
1
2
+
1
3
+
1
16
Doc 31
0.3860
0.3860
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Schwarz_triangle.html
1
p
+
1
q
+
1
r
Doc 32
0.3830
2.1702
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Gauss–Legendre_method.html
1
2
+
1
10
15
1
2
+
1
6
3
1
4
+
1
6
3
2
9
+
1
15
15
5
36
+
1
24
15
5
36
+
1
30
15
Doc 33
0.3830
1.1489
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Convex_conjugate.html
1
p
+
1
q
=
1.
1
p
+
1
q
=
1
1
p
+
1
q
=
1
Doc 34
0.3830
0.7660
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Schatten_norm.html
1
p
+
1
q
=
1
1
p
+
1
q
=
1
Doc 35
0.3830
0.7627
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Riesz–Thorin_theorem.html
1
p
+
1
q
=
1
1
r
+
1
p
=
1
+
1
s
.
Doc 36
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Hadamard_three-lines_theorem.html
1
p
+
1
q
=
1
Doc 37
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Lambek–Moser_theorem.html
1
r
+
1
s
=
1
Doc 38
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Hölder's_inequality.html
1
p
+
1
q
=
1
Doc 39
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Integral.html
1
p
+
1
q
=
1
Doc 40
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Nemytskii_operator.html
1
p
+
1
q
=
1.
Doc 41
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Fractional_Schrödinger_equation.html
1
α
+
1
β
=
1
Doc 42
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Conjugate_index.html
1
p
+
1
q
=
1.
Doc 43
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Banach_space.html
1
p
+
1
q
=
1
Doc 44
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Interpolation_space.html
1
p
+
1
q
=
1
Doc 45
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Beatty_sequence.html
1
r
+
1
s
=
1
Doc 46
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Arzelà–Ascoli_theorem.html
1
p
+
1
q
=
1
Doc 47
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Muckenhoupt_weights.html
1
p
+
1
q
=
1
Doc 48
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Entropic_uncertainty.html
1
p
+
1
q
=
1.
Doc 49
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Hausdorff–Young_inequality.html
1
p
+
1
q
=
1.
Doc 50
0.3830
0.3830
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Lp_space.html
1
p
+
1
q
=
1
Doc 51
0.3797
0.3797
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Interpolation_inequality.html
1
r
+
1
p
=
1
+
1
s
.
Doc 52
0.3778
0.3778
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/William_Brouncker,_2nd_Viscount_Brouncker.html
1
1
+
1
2
2
=
2
3
=
1
-
1
3
Doc 53
0.3768
0.3768
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Infinite_compositions_of_analytic_functions.html
a
1
ζ
1
+
a
2
ζ
1
+
…
Doc 54
0.3721
0.7442
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Finite_volume_method.html
x
i
+
1
2
x
i
+
1
2
Doc 55
0.3721
0.3721
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Roe_solver.html
F
i
+
1
2
Doc 56
0.3704
0.3704
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Ant_on_a_rubber_rope.html
(
1
+
1
2
+
⋯
+
1
n
)
Doc 57
0.3704
0.3704
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Consistent_estimator.html
1
n
∑
x
i
+
1
n
Doc 58
0.3673
0.3673
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Envelope_(mathematics).html
p
:=
1
+
1
α
Doc 59
0.3673
0.3673
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Generalizations_of_Fibonacci_numbers.html
ϕ
=
1
+
1
ϕ
Doc 60
0.3670
0.3670
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Precision_and_recall.html
E
=
1
-
1
α
P
+
1
-
α
R
Doc 61
0.3670
0.3670
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Information_retrieval.html
E
=
1
-
1
α
P
+
1
-
α
R
Doc 62
0.3636
1.0909
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Electron_paramagnetic_resonance.html
m
s
=
+
1
2
m
s
=
+
1
2
m
s
=
+
1
2
Doc 63
0.3636
0.3636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/MUSCL_scheme.html
u
i
+
1
2
*
Doc 64
0.3636
0.3636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Laplace_distribution.html
1
1
+
t
2
λ
2
.
Doc 65
0.3611
0.3611
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Earth_radius.html
R
m
=
2
1
M
+
1
N
Doc 66
0.3607
0.3607
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Category:Superparticular_intervals.html
n
+
1
n
=
1
+
1
n
.
Doc 67
0.3607
0.3607
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Superparticular_ratio.html
n
+
1
n
=
1
+
1
n
.
Doc 68
0.3600
0.7137
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Golden_ratio.html
1
+
1
φ
=
φ
.
1
+
1
1
+
1
1
+
1
1
+
1
1
+
⋱
Doc 69
0.3590
0.3590
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Money_multiplier.html
D
R
(
1
+
D
C
)
D
R
+
D
C
Doc 70
0.3571
0.3571
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Chebyshev_filter.html
1
1
+
1
ε
2
Doc 71
0.3556
0.3556
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Casson_invariant.html
Σ
+
1
m
⋅
K
Doc 72
0.3537
0.3537
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Square_root_of_2.html
1
+
1
2
+
1
2
+
1
2
+
1
2
+
⋱
Doc 73
0.3537
0.3537
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Backhouse's_constant.html
1
+
1
2
+
1
5
+
1
5
+
1
4
+
⋱
Doc 74
0.3529
0.3529
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Rodion_Kuzmin.html
x
=
1
k
1
+
1
k
2
+
⋯
Doc 75
0.3529
0.3529
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Gauss–Kuzmin_distribution.html
x
=
1
k
1
+
1
k
2
+
⋯
Doc 76
0.3509
2.1053
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Egyptian_Mathematical_Leather_Roll.html
1
6
+
1
6
=
1
3
1
6
+
1
6
=
1
3
1
10
+
1
10
=
1
5
1
10
+
1
10
=
1
5
1
3
+
1
3
=
2
3
1
3
+
1
3
=
2
3
Doc 77
0.3509
0.3509
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Largest_remainder_method.html
1
+
total
votes
1
+
total
seats
Doc 78
0.3492
0.3492
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Differential_entropy.html
ln
x
m
α
+
1
+
1
α
Doc 79
0.3462
0.3462
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Clarkson's_inequalities.html
1
p
+
1
q
=
1
,
Doc 80
0.3462
0.3462
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/List_of_Banach_spaces.html
1
q
+
1
p
=
1
,
Doc 81
0.3438
0.3438
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Mathematical_constants_and_functions.html
∏
n
=
2
∞
(
1
+
1
n
)
1
n
Doc 82
0.3404
0.3404
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Bresenham's_line_algorithm.html
=
A
+
1
2
B
Doc 83
0.3380
0.3380
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Bicentric_polygon.html
1
R
-
x
+
1
R
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x
=
1
r
Doc 84
0.3333
0.3333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Propulsive_efficiency.html
η
p
=
2
1
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c
v
Doc 85
0.3333
0.3333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Help:Displaying_a_formula.html
2
c
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2
d
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2
4
=
a
Doc 86
0.3333
0.3333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Projective_line_over_a_ring.html
1
b
-
c
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1
c
-
a
Doc 87
0.3333
0.3333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Centimetre–gram–second_system_of_units.html
1
1
r
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1
R
Doc 88
0.3333
0.3333
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Jet_aircraft.html
η
p
=
2
1
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c
v
Doc 89
0.3279
0.3279
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Thin_lens.html
1
s
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1
s
′
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1
f
Doc 90
0.3273
1.6364
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Archimedes'_cattle_problem.html
=
(
1
2
+
1
3
)
=
(
1
3
+
1
4
)
=
(
1
5
+
1
6
)
=
(
1
6
+
1
7
)
=
(
1
6
+
1
7
)