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Returned 59 matches (100 formulae, 75 docs)
Lookup 46.463 ms, Re-ranking 111.916 ms
Found 331260 tuple postings, 81199 formulae, 17149 documents
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[ documents ]
[ documents-by-formula ]
Doc 1
0.8451
-3.0000
2.0000
1.6901
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Fat_object.html
(
volume of smallest ball enclosing
o
volume of
o
)
1
/
d
(
volume of
o
volume of largest ball enclosed in
o
)
1
/
d
Doc 2
0.4545
-2.0000
2.0000
1.3636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Heat_capacity.html
C
i
,
m
=
(
∂
C
∂
n
)
c
P
=
(
∂
C
∂
m
)
P
,
c
V
=
(
∂
C
∂
m
)
V
.
Doc 3
0.4545
-2.0000
2.0000
0.9091
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Otto_cycle.html
c
p
=
(
γ
R
γ
-
1
)
c
v
=
(
δ
u
δ
T
)
v
Doc 4
0.4545
-2.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Curvelet.html
V
(
N
ω
2
π
)
Doc 5
0.4545
-2.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Chain_rule.html
d
d
x
(
f
(
x
)
g
(
x
)
)
Doc 6
0.4545
-2.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Fitts's_law.html
IP
=
(
I
D
M
T
)
Doc 7
0.4545
-2.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Practical_number.html
O
(
y
log
2
y
log
log
y
)
Doc 8
0.4545
-2.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Parametric_derivative.html
=
d
d
x
(
d
y
d
x
)
Doc 9
0.4545
-2.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Balls_into_bins.html
O
(
log
n
log
log
n
)
Doc 10
0.4545
-2.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Quasi-geostrophic_equations.html
∇
(
∂
Φ
∂
p
)
Doc 11
0.4545
-2.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Deal–Grove_model.html
(
B
/
A
)
0
(
μ
m
h
r
)
Doc 12
0.4545
-2.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Compressibility_equation.html
k
T
(
∂
ρ
∂
p
)
Doc 13
0.4545
-3.0000
2.0000
2.7273
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Thermal_fluctuations.html
T
2
C
V
(
∂
P
∂
T
)
V
T
2
C
v
(
∂
P
∂
T
)
V
-
T
(
∂
P
∂
V
)
S
-
T
(
∂
V
∂
P
)
T
T
(
∂
V
∂
T
)
P
T
(
∂
V
∂
T
)
P
Doc 14
0.4545
-3.0000
2.0000
0.9707
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Internal_pressure.html
π
T
=
(
∂
U
∂
V
)
T
(
∂
U
∂
S
)
V
=
T
(
∂
U
∂
V
)
S
=
-
p
Doc 15
0.4545
-3.0000
2.0000
0.9091
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Table_of_thermodynamic_equations.html
C
p
=
(
∂
H
∂
T
)
p
μ
J
T
=
(
∂
T
∂
p
)
H
Doc 16
0.4545
-3.0000
2.0000
0.9091
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Internal_energy.html
π
T
=
(
∂
U
∂
V
)
T
T
(
∂
S
∂
T
)
V
Doc 17
0.4545
-3.0000
2.0000
0.9091
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Range_mode_query.html
O
(
n
2
log
log
n
log
n
)
O
(
n
2
log
log
n
log
n
)
Doc 18
0.4545
-3.0000
2.0000
0.7126
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Bridgman's_thermodynamic_equations.html
C
P
=
(
∂
H
∂
T
)
P
(
∂
V
∂
T
)
P
=
α
V
Doc 19
0.4545
-3.0000
2.0000
0.7126
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Electron_magnetic_moment.html
g
=
(
r
e
r
m
)
8
(
r
e
r
m
)
≈
1.09051
Doc 20
0.4545
-3.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Hayashi_track.html
=
(
k
ρ
C
μ
H
)
γ
Doc 21
0.4545
-3.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Tautochrone_curve.html
1
2
m
(
d
s
d
t
)
2
Doc 22
0.4545
-3.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Coomber's_relationship.html
p
i
=
(
∂
E
∂
V
)
T
Doc 23
0.4545
-3.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Compressibility.html
c
2
=
(
∂
p
∂
ρ
)
S
Doc 24
0.4545
-3.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Finite_strain_theory.html
Λ
(
𝐍
)
2
=
(
d
x
d
X
)
2
Doc 25
0.4545
-3.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Maxwell_relations.html
(
∂
T
∂
P
)
V
(
∂
S
∂
V
)
P
Doc 26
0.4545
-4.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Einstein_solid.html
C
V
=
(
∂
U
∂
T
)
V
.
Doc 27
0.4545
-4.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Envelope_(mathematics).html
t
=
(
d
y
d
x
)
/
2
Doc 28
0.4545
-4.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/HSAB_theory.html
μ
=
(
∂
E
∂
N
)
Z
,
Doc 29
0.4545
-4.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Einstein_field_equations.html
d
d
t
(
d
t
d
τ
)
≈
0
Doc 30
0.4545
-4.0000
2.0000
0.4545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Standing_wave_ratio.html
SWR
=
(
R
L
Z
0
)
±
1
Doc 31
0.4211
-2.0000
2.0000
1.2632
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Sieve_of_Eratosthenes.html
O
(
n
log
n
)
O
(
n
log
n
)
O
(
n
log
n
)
Doc 32
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Binomial_type.html
P
-
1
(
d
d
x
)
Doc 33
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Hurwitz_quaternion_order.html
2
cos
(
2
π
7
)
Doc 34
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/List_of_derivatives_and_integrals_in_alternative_calculi.html
exp
(
1
x
ln
x
)
Doc 35
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Microcanonical_ensemble.html
f
(
H
-
E
ω
)
Doc 36
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/IPhone_4.html
arctan
(
1
/
300
12
)
Doc 37
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Cross-polytope.html
arccos
(
2
-
n
n
)
Doc 38
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Simplex.html
arccos
(
-
1
n
)
Doc 39
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Error_function.html
erf
(
a
σ
2
)
Doc 40
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Discrete-time_Fourier_transform.html
X
1
/
T
(
k
N
T
)
Doc 41
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Quantum_algorithm_for_linear_systems_of_equations.html
O
(
1
λ
t
0
)
Doc 42
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Vickrey_auction.html
Ω
(
1
n
p
)
Doc 43
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Dispersive_body_waves.html
b
=
(
1
2
Q
)
Doc 44
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Fractal_tree_index.html
O
(
N
+
M
B
)
Doc 45
0.4211
-2.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Hilbert_transform.html
cot
(
x
-
t
2
)
Doc 46
0.4211
-3.0000
2.0000
0.8421
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Triangle-free_graph.html
Θ
(
t
2
log
t
)
Ω
(
t
2
log
t
)
Doc 47
0.4211
-3.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Bounding_sphere.html
O
(
n
d
ϵ
2
)
Doc 48
0.4211
-3.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Angular_resolution_(graph_drawing).html
O
(
log
d
d
2
)
Doc 49
0.4211
-3.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Clausen_function.html
Cl
2
m
(
q
π
p
)
=
Doc 50
0.4211
-4.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Eigenfunction.html
sin
(
ω
L
c
)
=
0.
Doc 51
0.4211
-4.0000
2.0000
0.4211
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Distributed_minimum_spanning_tree.html
Ω
(
V
log
V
)
.
Doc 52
0.2581
-2.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Segregation_in_materials.html
(
-
Δ
G
R
T
)
Doc 53
0.2581
-2.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Cauchy_distribution.html
(
ψ
-
i
ψ
+
i
)
Doc 54
0.2581
-2.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Distorted_Schwarzschild_metric.html
(
i
j
i
+
j
)
Doc 55
0.2581
-3.0000
2.0000
1.0323
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Relations_between_heat_capacities.html
(
∂
S
∂
T
)
P
(
∂
S
∂
V
)
T
(
∂
P
∂
T
)
V
(
∂
S
∂
T
)
V
Doc 56
0.2581
-3.0000
2.0000
0.7742
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/TRIAC.html
(
d
i
d
t
)
c
(
d
v
d
t
)
c
(
d
v
d
t
)
s
Doc 57
0.2581
-3.0000
2.0000
0.5161
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Stefan–Boltzmann_law.html
(
∂
U
∂
V
)
T
(
∂
u
∂
T
)
V
Doc 58
0.2581
-3.0000
2.0000
0.5161
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Net_tonnage.html
(
4
d
3
D
)
2
(
4
d
3
D
)
2
Doc 59
0.2581
-3.0000
2.0000
0.5161
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Notation_for_differentiation.html
(
∂
T
∂
V
)
P
(
∂
T
∂
V
)
S
Doc 60
0.2581
-3.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Centrifugal_compressor.html
(
g
H
N
2
D
2
)
Doc 61
0.2581
-3.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Determination_of_equilibrium_constants.html
(
∂
E
∂
v
)
k
Doc 62
0.2581
-3.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Matrix_calculus.html
(
∂
𝐮
∂
x
)
⊤
Doc 63
0.2581
-3.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Euler's_equations_(rigid_body_dynamics).html
(
d
𝐋
d
t
)
relative
Doc 64
0.2581
-3.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Virial_theorem.html
(
γ
+
1
2
γ
)
T
Doc 65
0.2581
-4.0000
2.0000
1.0323
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Adiabatic_theorem.html
(
d
B
d
t
→
0
)
(
d
k
d
t
→
0
)
(
d
B
d
t
→
∞
)
(
d
k
d
t
→
∞
)
Doc 66
0.2581
-4.0000
2.0000
0.5161
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Draft:The_study_of_the_momentum_transfer_due_to_fluid_friction_and_heat_transfer_between_a_stream_and_a_solid_object_in_internal_flow,.html
(
X
/
D
R
e
)
=
0.01
(
X
/
D
R
e
)
=
0.026
Doc 67
0.2581
-4.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Curie's_law.html
(
μ
B
k
T
)
≪
1
Doc 68
0.2581
-4.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Pontryagin's_minimum_principle.html
(
∂
H
∂
t
≡
0
)
Doc 69
0.2581
-5.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Critical_variable.html
(
∂
P
∂
V
)
C
=
0
Doc 70
0.2581
-5.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Principle_of_minimum_energy.html
(
∂
S
∂
X
)
U
=
0
Doc 71
0.2581
-5.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Volume_of_an_n-ball.html
(
3
V
4
π
)
1
/
3
Doc 72
0.2581
-6.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Equilibrium_chemistry.html
(
∂
H
∂
T
)
p
=
C
p
Doc 73
0.2581
-6.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Equilibrium_constant.html
(
∂
H
∂
T
)
p
=
C
p
Doc 74
0.2581
-6.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Partial_derivative.html
(
∂
f
∂
x
)
y
,
z
.
Doc 75
0.2581
-6.0000
2.0000
0.2581
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Gauss's_principle_of_least_constraint.html
(
d
s
d
t
)
2
=
2
T