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H
*1*
=
[
∂
2
*2*
*3*
]
Search
Returned 44 matches (100 formulae, 81 docs)
Lookup 31.836 ms, Re-ranking 120.462 ms
Found 214650 tuple postings, 60465 formulae, 13785 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
Doc 1
0.8819
0.0000
3.0000
4.4094
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Heat_capacity.html
C
i
,
m
=
(
∂
C
∂
n
)
C
P
,
m
=
(
∂
C
∂
n
)
P
C
V
,
m
=
(
∂
C
∂
n
)
V
c
P
=
(
∂
C
∂
m
)
P
,
c
V
=
(
∂
C
∂
m
)
V
.
Doc 2
0.8819
0.0000
3.0000
0.8819
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Line_element.html
h
i
=
|
∂
r
∂
q
i
|
Doc 3
0.8819
0.0000
3.0000
0.8819
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Curvilinear_coordinates.html
h
i
=
|
∂
𝐫
∂
q
i
|
Doc 4
0.8819
-1.0000
3.0000
1.7638
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 5
0.8819
-1.0000
3.0000
0.8819
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Internal_pressure.html
π
T
=
(
∂
U
∂
V
)
T
Doc 6
0.8819
-1.0000
3.0000
0.8819
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Internal_energy.html
π
T
=
(
∂
U
∂
V
)
T
Doc 7
0.8819
-1.0000
3.0000
0.8819
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000010/Articles/Coomber's_relationship.html
p
i
=
(
∂
E
∂
V
)
T
Doc 8
0.8819
-1.0000
3.0000
0.8819
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Bridgman's_thermodynamic_equations.html
C
P
=
(
∂
H
∂
T
)
P
Doc 9
0.8819
-2.0000
3.0000
0.8819
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Einstein_solid.html
C
V
=
(
∂
U
∂
T
)
V
.
Doc 10
0.8819
-3.0000
3.0000
0.8819
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Turbulence_modeling.html
ν
t
=
|
∂
u
∂
y
|
l
m
2
Doc 11
0.7636
-2.0000
3.0000
1.5273
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Relations_between_heat_capacities.html
-
P
=
(
∂
F
∂
V
)
T
-
S
=
(
∂
F
∂
T
)
V
Doc 12
0.7636
-2.0000
3.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/HSAB_theory.html
μ
=
(
∂
E
∂
N
)
Z
,
Doc 13
0.7636
-2.0000
3.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Compressibility.html
c
2
=
(
∂
p
∂
ρ
)
S
Doc 14
0.7636
-3.0000
4.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Potential_flow.html
a
2
=
[
∂
p
∂
ρ
]
S
.
Doc 15
0.7636
-3.0000
4.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Alexandru_Proca.html
□
=
(
∂
2
∂
t
2
)
-
∇
2
Doc 16
0.7636
-3.0000
3.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Van_der_Waals_equation.html
P
=
(
∂
A
∂
V
)
T
,
N
Doc 17
0.7636
-3.0000
3.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Ideal_gas.html
μ
=
(
∂
G
∂
N
)
T
,
P
Doc 18
0.7636
-4.0000
5.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Matrix_(mathematics).html
H
(
f
)
=
[
∂
2
f
∂
x
i
∂
x
j
]
.
Doc 19
0.7636
-4.0000
3.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Murnaghan_equation_of_state.html
K
′
=
(
∂
K
∂
P
)
T
(
3
)
Doc 20
0.7636
-5.0000
4.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Extent_of_reaction.html
Δ
r
H
=
(
∂
H
∂
ξ
)
p
,
T
Doc 21
0.7636
-10.0000
4.0000
0.7636
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Critical_point_(thermodynamics).html
(
∂
p
∂
V
)
T
=
(
∂
2
p
∂
V
2
)
T
=
0
Doc 22
0.6931
-1.0000
3.0000
0.6931
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Rencontres_numbers.html
D
n
,
0
=
[
n
!
e
]
Doc 23
0.6931
-4.0000
3.0000
0.6931
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Finite_volume_method_for_unsteady_flow.html
a
P
0
=
[
a
E
+
a
W
2
]
Doc 24
0.6452
-9.0000
4.0000
0.6452
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Finite_water-content_vadose_zone_flow_method.html
[
∂
q
∂
θ
]
j
=
[
∂
z
∂
t
]
j
.
Doc 25
0.5714
-1.0000
3.0000
0.5714
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Von_Staudt–Clausen_theorem.html
℘
=
[
2
n
p
-
1
]
Doc 26
0.5263
0.0000
3.0000
2.1534
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Black–Scholes_model.html
∂
2
C
∂
S
2
∂
C
∂
S
∂
C
∂
r
∂
C
∂
t
∂
C
∂
σ
Doc 27
0.5263
0.0000
3.0000
1.0526
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Wave_equation.html
∂
2
u
∂
t
2
∂
2
u
∂
ξ
∂
η
=
0
Doc 28
0.5263
0.0000
3.0000
0.9331
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Greeks_(finance).html
∂
2
V
∂
S
∂
σ
∂
ν
∂
S
Doc 29
0.5263
-1.0000
3.0000
15.4095
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Matrix_calculus.html
∂
2
𝐱
⊤
𝐀𝐱
∂
𝐱
2
=
∂
2
𝐱
⊤
𝐀𝐱
∂
𝐱
2
=
∂
2
|
𝐔
|
∂
x
2
=
∂
y
∂
x
∂
y
∂
x
∂
y
∂
𝐗
∂
y
∂
𝐗
∂
y
∂
𝐗
∂
y
∂
𝐗
∂
y
∂
𝐗
∂
y
∂
𝐗
∂
y
∂
𝐱
∂
y
∂
𝐱
∂
y
∂
𝐱
∂
y
∂
𝐱
∂
y
∂
𝐱
∂
𝐘
∂
x
∂
𝐘
∂
x
∂
𝐘
∂
x
∂
𝐘
∂
x
∂
𝐘
∂
x
∂
𝐘
∂
x
∂
𝐘
∂
𝐗
∂
𝐘
∂
𝐱
∂
𝐮
∂
𝐱
∂
𝐮
∂
𝐱
∂
𝐲
∂
x
∂
𝐲
∂
x
∂
𝐲
∂
x
∂
𝐲
∂
x
∂
𝐲
∂
x
∂
𝐲
∂
x
∂
𝐲
∂
𝐗
∂
𝐲
∂
𝐱
∂
𝐲
∂
𝐱
∂
𝐲
∂
𝐱
∂
𝐲
∂
𝐱
Doc 30
0.5263
-1.0000
3.0000
0.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/Orbit_modeling.html
[
∂
V
∂
𝐫
]
0
Doc 31
0.5263
-2.0000
3.0000
1.0526
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Topkis's_theorem.html
∂
2
U
∂
s
∂
p
<
0
∂
2
U
∂
s
∂
p
<
0
,
Doc 32
0.5263
-2.0000
3.0000
0.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Marginal_utility.html
∂
2
U
∂
g
2
<
0
Doc 33
0.5263
-2.0000
3.0000
0.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Ridge_detection.html
∂
2
f
∂
σ
2
<
0
Doc 34
0.5263
-2.0000
3.0000
0.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Legendre–Clebsch_condition.html
∂
2
H
∂
u
2
>
0
Doc 35
0.5263
-2.0000
3.0000
0.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Marginalism.html
∂
2
U
∂
g
2
<
0
Doc 36
0.5263
-2.0000
3.0000
0.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Ferroelectricity.html
∂
2
Δ
E
∂
P
x
2
<
0
Doc 37
0.5263
-2.0000
3.0000
0.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000015/Articles/FOMP.html
∂
2
E
A
∂
θ
2
>
0.
Doc 38
0.5263
-3.0000
3.0000
0.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Multiple-scale_analysis.html
∂
2
Y
0
∂
t
2
+
Y
0
Doc 39
0.5263
-5.0000
3.0000
0.5263
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Capital_structure_substitution_theory.html
[
∂
D
∂
n
]
x,t
=
-
P
x,t
Doc 40
0.4478
-7.0000
3.0000
1.7278
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Principalization_(algebra).html
(
F
|
K
𝔭
)
=
[
F
|
K
𝔓
]
[
F
|
K
𝔓
]
[
F
|
K
𝔓
]
[
F
|
K
𝔓
]
[
F
|
K
𝔓
]
Doc 41
0.4478
-8.0000
3.0000
0.4478
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Symbol_(number_theory).html
[
(
L
/
K
)
/
P
]
=
[
L
/
K
P
]
Doc 42
0.4068
0.0000
3.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Allee_effect.html
∂
2
∂
x
2
Doc 43
0.4068
0.0000
2.0000
1.6271
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Calorimetry.html
∂
U
∂
V
∂
U
∂
p
∂
V
∂
p
∂
p
∂
T
Doc 44
0.4068
0.0000
2.0000
0.8136
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Exact_differential.html
∂
x
∂
y
∂
z
∂
y
Doc 45
0.4068
0.0000
2.0000
0.8136
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Acnode.html
∂
f
∂
x
∂
f
∂
y
Doc 46
0.4068
0.0000
2.0000
0.8136
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Image_gradient.html
∂
f
∂
x
∂
f
∂
y
Doc 47
0.4068
0.0000
2.0000
0.8136
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Crunode.html
∂
f
∂
x
∂
f
∂
y
Doc 48
0.4068
0.0000
2.0000
0.8136
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Stability_derivatives.html
∂
Y
∂
r
∂
Y
∂
β
Doc 49
0.4068
0.0000
2.0000
0.8136
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Black–Scholes_equation.html
∂
V
∂
S
∂
V
∂
S
Doc 50
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Dupuit–Forchheimer_assumption.html
∂
P
∂
z
Doc 51
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Incompressible_flow.html
∂
ρ
∂
t
Doc 52
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Shapiro-Stiglitz_theory.html
∂
N
∂
R
Doc 53
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Convective_Boundary_Layer.html
∂
c
∂
z
Doc 54
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Euler–Lagrange_equation.html
∂
L
∂
q
Doc 55
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Binary_option.html
∂
σ
∂
K
Doc 56
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Hamiltonian_fluid_mechanics.html
∂
ρ
∂
t
Doc 57
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Continuity_equation.html
∂
ρ
∂
t
Doc 58
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Implied_volatility.html
∂
C
∂
σ
Doc 59
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Computer_for_operations_with_functions.html
∂
y
∂
x
Doc 60
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Depletion_force.html
∂
f
∂
a
Doc 61
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Heat_equation.html
∂
u
∂
t
Doc 62
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Exponential_integrator.html
∂
f
∂
y
Doc 63
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Stefan_problem.html
∂
u
∂
t
Doc 64
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Magnetic_resonance_(quantum_mechanics).html
∂
B
∂
z
Doc 65
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Delta_neutral.html
∂
V
∂
S
Doc 66
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Toroidal_inductors_and_transformers.html
∂
𝐀
∂
t
Doc 67
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Partial_derivative.html
∂
f
∂
x
Doc 68
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Scale_analysis_(mathematics).html
∂
w
∂
t
Doc 69
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Visco-elastic_jets.html
∂
R
∂
z
Doc 70
0.4068
0.0000
2.0000
0.4068
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Inverse_scattering_transform.html
∂
u
∂
t
Doc 71
0.4068
0.0000
2.0000
0.4068
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