tangent
Not Supported
N
=
⌊
0.5
-
log
2
(
Frequency of this item
Frequency of most common item
)
⌋
Search
Returned 97 matches (100 formulae, 81 docs)
Lookup 3.594 ms, Re-ranking 111.069 ms
Found 41415 tuple postings, 32272 formulae, 9946 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
Doc 1
1.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Word_lists_by_frequency.html
N
=
⌊
0.5
-
log
2
(
Frequency of this item
Frequency of most common item
)
⌋
Doc 2
0.1983
0.1983
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Lenstra–Lenstra–Lovász_lattice_basis_reduction_algorithm.html
r
=
⌊
0.5
+
μ
2
,
l
⌋
=
4
Doc 3
0.1840
0.1840
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/MIDI_Tuning_Standard.html
d
=
69
+
12
log
2
(
f
440
Hz
)
.
Doc 4
0.1720
0.2905
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Qualitative_variation.html
-
log
10
(
1
+
2
d
365
)
I
p
=
-
0.5
+
0.5
(
I
d
-
M
u
M
u
)
Doc 5
0.1702
0.1702
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Sone.html
L
N
=
40
+
10
log
2
(
N
)
Doc 6
0.1633
0.6677
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/List_of_fractals_by_Hausdorff_dimension.html
2
-
log
2
(
2
)
=
3
2
2
+
log
2
(
1
2
)
=
1
2
-
log
b
(
a
)
log
5
(
10
3
)
-
log
(
2
)
log
(
1
-
γ
2
)
Doc 7
0.1609
0.1609
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Elias_gamma_coding.html
2
⌊
log
2
(
x
)
⌋
+
1
Doc 8
0.1554
0.1554
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Contrast_transfer_function.html
α
s
=
arctan
(
b
R
)
-
arctan
(
b
R
+
r
s
)
Doc 9
0.1500
0.1500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Transposable_integer.html
N
c
=
10
N
-
d
(
10
m
-
1
)
,
Doc 10
0.1500
0.1500
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Equation_of_state.html
Y
=
exp
(
ϵ
k
T
)
-
k
2
Doc 11
0.1489
0.5957
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Henderson–Hasselbalch_equation.html
pH
=
p
K
a
+
log
10
(
[
A
-
]
[
HA
]
)
pH
=
p
K
a
+
log
10
(
[
A
-
]
[
HA
]
)
pOH
=
p
K
b
+
log
10
(
[
BH
+
]
[
B
]
)
pH
=
p
K
a
+
log
10
(
[
B
]
[
BH
+
]
)
Doc 12
0.1481
0.1481
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Phase-locked_loop.html
θ
Δ
=
θ
1
(
t
)
-
θ
2
(
t
)
.
Doc 13
0.1468
0.1468
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Singly_and_doubly_even.html
1
2
=
ν
2
(
a
)
-
ν
2
(
b
)
,
Doc 14
0.1458
0.2917
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Gaussian_function.html
log
(
x
)
=
-
log
(
1
x
)
log
(
x
)
=
-
log
(
1
x
)
Doc 15
0.1455
0.1455
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Modulatory_space.html
p
=
69
+
12
log
2
(
f
/
440
)
Doc 16
0.1455
0.1455
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Pitch_class.html
p
=
69
+
12
log
2
(
f
/
440
)
Doc 17
0.1445
0.4279
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Metallicity.html
[
Fe
/
H
]
=
log
10
(
N
Fe
N
H
)
star
-
log
10
(
N
Fe
N
H
)
sun
[
O
/
Fe
]
=
log
10
(
N
O
N
Fe
)
star
-
log
10
(
N
O
N
Fe
)
sun
[
M
/
H
]
=
log
10
(
N
M
N
H
)
star
-
log
10
(
N
M
N
H
)
sun
.
Doc 18
0.1440
0.1440
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Principle_of_indifference.html
K
-
1
=
∫
3
5
d
L
L
=
log
(
5
3
)
Doc 19
0.1429
0.1429
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Self-balancing_binary_search_tree.html
⌊
log
2
(
n
)
⌋
Doc 20
0.1392
0.1392
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Table_of_polyhedron_dihedral_angles.html
π
-
arccos
(
1
3
)
Doc 21
0.1382
0.1382
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Sound_pressure.html
L
p
2
=
L
p
1
+
20
log
10
(
r
1
r
2
)
dB
.
Doc 22
0.1375
0.1375
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:Hierarchical_testing_of_variables_in_high-dimensional_datasets.html
(
1
-
log
(
γ
min
)
)
Doc 23
0.1374
0.2535
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Steering_law.html
=
lim
N
→
∞
N
b
log
2
(
A
N
W
+
1
)
=
lim
N
→
∞
∑
i
=
1
N
b
log
2
(
A
/
N
W
+
1
)
Doc 24
0.1374
0.1374
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Concatenation_(mathematics).html
l
(
q
)
=
⌊
l
o
g
b
(
q
)
⌋
+
1
Doc 25
0.1351
0.1351
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Gauss–Kuzmin_distribution.html
Δ
n
(
s
)
=
ℙ
{
x
n
≤
s
}
-
log
2
(
1
+
s
)
Doc 26
0.1322
0.1322
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Schwartz–Zippel_lemma.html
p
(
x
)
=
p
1
(
x
)
-
p
2
(
x
)
,
Doc 27
0.1322
0.1322
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Mental_chronometry.html
R
T
=
a
+
b
log
2
(
n
+
1
)
Doc 28
0.1313
0.1313
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Absolute_magnitude.html
m
M
o
o
n
=
0.25
+
2.5
log
10
(
3
2
0.00257
2
)
=
-
12.26
Doc 29
0.1304
0.1304
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Titration_curve.html
p
H
=
p
K
a
+
log
(
[
base
]
[
acid
]
)
Doc 30
0.1299
0.1299
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/MA_plot.html
M
=
log
2
(
R
/
G
)
=
log
2
(
R
)
-
log
2
(
G
)
Doc 31
0.1284
0.1284
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Slide_rule.html
log
(
x
/
y
)
=
log
(
x
)
-
log
(
y
)
Doc 32
0.1282
0.1282
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Rodion_Kuzmin.html
Δ
n
(
s
)
=
ℙ
{
x
n
≤
s
}
-
log
2
(
1
+
s
)
,
Doc 33
0.1237
0.1237
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Quantization_(signal_processing).html
length
(
c
k
)
≈
-
log
2
(
p
k
)
Doc 34
0.1231
0.4194
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Copula_(probability_theory).html
-
log
(
t
)
(
-
log
(
t
)
)
θ
-
log
(
exp
(
-
θ
t
)
-
1
exp
(
-
θ
)
-
1
)
log
(
1
-
θ
(
1
-
t
)
t
)
Doc 35
0.1231
0.2231
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Convex_conjugate.html
-
log
(
x
)
-
log
(
1
-
e
x
)
Doc 36
0.1231
0.1231
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Point_and_click.html
T
=
a
+
b
log
2
(
1
+
D
W
)
Doc 37
0.1224
0.1224
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Approximate_entropy.html
ApEn
=
log
(
Φ
2
(
3
)
)
-
log
(
Φ
3
(
3
)
)
≈
0.000010997
Doc 38
0.1207
0.1207
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Magnetic_circular_dichroism.html
A
=
-
log
(
V
d
c
V
e
x
)
Doc 39
0.1205
0.3156
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Logarithm.html
log
2
(
1
2
)
=
-
1
,
log
b
(
x
y
)
=
log
b
(
x
)
-
log
b
(
y
)
log
2
(
16
)
=
log
2
(
64
4
)
=
log
2
(
64
)
-
log
2
(
4
)
=
6
-
2
=
4
Doc 40
0.1184
0.2132
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Taylor's_law.html
I
p
=
-
0.5
+
0.5
(
I
d
-
M
u
M
u
)
a
=
-
log
(
1
-
w
2
)
Doc 41
0.1176
0.2152
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/AKS_primality_test.html
⌊
φ
(
r
)
log
2
(
n
)
⌋
⌊
φ
(
r
)
log
(
n
)
⌋
Doc 42
0.1176
0.2024
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Binary_logarithm.html
⌊
log
2
(
0
)
⌋
=
-
1
⌊
log
2
(
n
)
⌋
=
31
-
nlz
(
n
)
.
Doc 43
0.1176
0.2114
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Minimum_message_length.html
length
(
E
)
=
-
log
2
(
P
(
E
)
)
length
(
H
and
E
)
=
-
log
2
(
P
(
H
and
E
)
)
Doc 44
0.1176
0.1176
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Binary_heap.html
⌊
log
(
n
)
⌋
Doc 45
0.1167
0.1951
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Identity_(mathematics).html
log
b
(
x
y
)
=
log
b
(
x
)
-
log
b
(
y
)
log
2
(
16
)
=
log
2
(
64
4
)
=
log
2
(
64
)
-
log
2
(
4
)
=
6
-
2
=
4
Doc 46
0.1167
0.1167
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/List_of_logarithmic_identities.html
log
b
(
x
y
)
=
log
b
(
x
)
-
log
b
(
y
)
Doc 47
0.1146
0.1146
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Equant.html
α
(
t
)
=
Ω
t
-
arcsin
(
E
R
sin
(
Ω
t
)
)
Doc 48
0.1136
0.2107
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Fitts's_law.html
ID
=
log
2
(
2
D
W
)
I
D
=
log
2
(
D
W
+
1
)
Doc 49
0.1127
0.1127
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Minimum_description_length.html
-
log
2
P
(
x
)
Doc 50
0.1111
0.1111
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Delta_method.html
log
(
X
n
n
)
Doc 51
0.1111
0.1111
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Stieltjes_constants.html
b
=
tan
-
1
(
v
u
)
-
1
2
(
v
u
+
1
)
.
Doc 52
0.1111
0.1111
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Polite_number.html
f
(
n
)
=
n
+
⌊
log
2
(
n
+
log
2
n
)
⌋
.
Doc 53
0.1099
0.2163
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Octave_(electronics).html
number of octaves
=
log
2
(
13
4
)
=
1.7
octaves
=
log
2
(
f
2
f
1
)
Doc 54
0.1098
0.2195
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Nucleophile.html
log
10
(
k
k
0
)
=
N
+
log
10
(
k
k
0
)
=
s
n
Doc 55
0.1098
0.1098
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Edwards_equation.html
log
10
(
k
k
0
)
=
s
n
Doc 56
0.1096
0.1096
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Z_function.html
N
=
⌊
u
2
⌋
Doc 57
0.1096
0.1096
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Blancmange_curve.html
H
=
-
log
2
w
Doc 58
0.1096
0.1096
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Carson_bandwidth_rule.html
10
log
(
0.02
0.98
)
Doc 59
0.1092
0.1092
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Alpha_process.html
[
α
/
F
e
]
=
log
10
(
N
α
N
F
e
)
S
t
a
r
-
log
10
(
N
α
N
F
e
)
S
u
n
Doc 60
0.1081
0.1081
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Barrier_function.html
-
log
(
b
-
x
)
Doc 61
0.1067
0.1067
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/German_tank_problem.html
N
~
=
2
m
-
1
Doc 62
0.1053
0.1053
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/List_of_derivatives_and_integrals_in_alternative_calculi.html
log
a
(
1
x
-
1
)
Doc 63
0.1042
0.1042
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Level_ancestor_problem.html
ℓ
=
⌊
log
2
(
depth
(
v
)
)
⌋
Doc 64
0.1039
0.1039
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Limit_of_a_sequence.html
N
=
⌊
1
ϵ
⌋
Doc 65
0.1039
0.1039
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Elliptic_curve_primality.html
N
=
2
k
n
-
1
Doc 66
0.1034
0.1034
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/B-tree.html
h
≤
⌊
log
d
(
n
+
1
2
)
⌋
.
Doc 67
0.1019
0.1019
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Metallic_mean.html
(
1
R
)
c
=
R
-
⌊
Re
(
R
)
⌋
Doc 68
0.1013
0.1977
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log
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8
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Doc 69
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Doc 70
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testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/SN1_reaction.html
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Doc 71
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testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Arrhenius_plot.html
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Doc 72
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Doc 73
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Doc 74
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Doc 75
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Doc 76
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Doc 77
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Doc 78
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Doc 79
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Doc 80
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testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Sholl_analysis.html
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Doc 81
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