tangent
Not Supported
∇
×
𝐁
=
μ
0
𝐉
+
μ
0
ϵ
0
∂
∂
t
𝐄
⏟
Maxwell
′
s
term
Search
Returned 94 matches (100 formulae, 58 docs)
Lookup 5.111 ms, Re-ranking 353.883 ms
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[ formulas ]
[ documents ]
[ documents-by-formula ]
Doc 1
1.0000
0.0000
24.0000
1.0000
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/On_Physical_Lines_of_Force.html
∇
×
𝐁
=
μ
0
𝐉
+
μ
0
ϵ
0
∂
∂
t
𝐄
⏟
Maxwell
′
s
term
Doc 2
0.3609
-28.0000
8.0000
1.1443
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Displacement_current.html
s
y
m
b
o
l
∇
×
(
s
y
m
b
o
l
∇
×
B
)
=
μ
0
ϵ
0
∂
∂
t
s
y
m
b
o
l
∇
×
E
.
s
y
m
b
o
l
∇
×
B
=
μ
0
s
y
m
b
o
l
J
D
,
s
y
m
b
o
l
∇
×
B
=
μ
0
s
y
m
b
o
l
J
f
,
s
y
m
b
o
l
J
D
=
ϵ
0
∂
s
y
m
b
o
l
E
∂
t
Doc 3
0.3360
-8.0000
8.0000
2.6071
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Lorentz–Heaviside_units.html
∇
×
𝐁
=
μ
0
𝐉
+
1
c
2
∂
𝐄
∂
t
∇
×
𝐁
=
1
c
𝐉
+
1
c
∂
𝐄
∂
t
∇
×
𝐁
=
4
π
c
𝐉
+
1
c
∂
𝐄
∂
t
∇
×
𝐇
=
1
c
𝐉
f
+
1
c
∂
𝐃
∂
t
∇
×
𝐇
=
4
π
c
𝐉
f
+
1
c
∂
𝐃
∂
t
∇
×
𝐇
=
𝐉
f
+
∂
𝐃
∂
t
∇
×
𝐁
=
1
c
∂
𝐄
∂
t
+
1
c
𝐉
∇
×
𝐁
=
∂
𝐄
∂
t
+
𝐉
𝐁
=
μ
0
(
𝐇
+
𝐌
)
∇
×
𝐄
=
-
∂
𝐁
∂
t
∇
×
𝐄
=
-
∂
𝐁
∂
t
∇
×
𝐄
=
-
1
c
∂
𝐁
∂
t
∇
×
𝐄
=
-
1
c
∂
𝐁
∂
t
∇
×
𝐄
=
-
1
c
∂
𝐁
∂
t
Doc 4
0.3360
-8.0000
8.0000
1.3712
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Gaussian_units.html
∇
×
𝐁
=
μ
0
𝐉
+
1
c
2
∂
𝐄
∂
t
∇
×
𝐇
=
𝐉
f
+
∂
𝐃
∂
t
∇
×
𝐁
=
4
π
c
𝐉
+
1
c
∂
𝐄
∂
t
∇
×
𝐇
=
4
π
c
𝐉
f
+
1
c
∂
𝐃
∂
t
𝐁
=
μ
0
(
𝐇
+
𝐌
)
∇
×
𝐄
=
-
∂
𝐁
∂
t
∇
×
𝐄
=
-
1
c
∂
𝐁
∂
t
Doc 5
0.3360
-8.0000
8.0000
0.6287
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Laws_of_science.html
∇
×
𝐁
=
μ
0
𝐉
+
1
c
2
∂
𝐄
∂
t
∇
×
𝐄
=
-
∂
𝐁
∂
t
∇
×
𝐠
=
-
∂
𝐇
∂
t
Doc 6
0.3182
-7.0000
8.0000
1.4191
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Electromagnetic_radiation.html
∇
×
𝐁
=
μ
0
ϵ
0
∂
𝐄
∂
t
(
4
)
∇
2
𝐄
=
μ
0
ϵ
0
∂
2
𝐄
∂
t
2
∇
2
𝐁
=
μ
0
ϵ
0
∂
2
𝐁
∂
t
2
.
∇
×
(
-
∂
𝐁
∂
t
)
=
-
∂
∂
t
(
∇
×
𝐁
)
=
-
μ
0
ϵ
0
∂
2
𝐄
∂
t
2
(
7
)
∇
×
𝐄
=
-
∂
𝐁
∂
t
(
2
)
Doc 7
0.3182
-8.0000
7.0000
2.3736
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Mathematical_descriptions_of_the_electromagnetic_field.html
∇
⋅
𝐀
′
=
-
μ
0
ε
0
∂
φ
′
∂
t
∇
×
𝐁
=
μ
0
𝐉
+
μ
0
ε
0
∂
𝐄
∂
t
∇
2
𝐀
′
-
μ
0
ε
0
∂
2
𝐀
′
∂
t
2
=
□
2
𝐀
′
=
-
μ
0
𝐉
∇
2
φ
′
-
μ
0
ε
0
∂
2
φ
′
∂
t
2
=
□
2
φ
′
=
-
ρ
ε
0
∇
2
λ
-
μ
0
ε
0
∂
2
λ
∂
t
2
=
-
∇
⋅
𝐀
-
μ
0
ε
0
∂
φ
∂
t
∇
2
𝐀
′
-
μ
0
ε
0
∂
2
𝐀
′
∂
t
2
=
-
μ
0
𝐉
+
μ
0
ε
0
∇
(
∂
φ
′
∂
t
)
(
s
y
m
b
o
l
∇
⋅
𝐄
-
ρ
ϵ
0
)
-
c
(
s
y
m
b
o
l
∇
×
𝐁
-
μ
0
ϵ
0
∂
𝐄
∂
t
-
μ
0
𝐉
)
+
I
(
s
y
m
b
o
l
∇
×
𝐄
+
∂
𝐁
∂
t
)
+
I
c
(
s
y
m
b
o
l
∇
⋅
𝐁
)
=
0
∇
×
𝐄
=
-
∂
𝐁
∂
t
Doc 8
0.3182
-9.0000
8.0000
0.4645
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Maxwell_stress_tensor.html
∇
×
𝐁
=
μ
0
𝐉
+
μ
0
ϵ
0
∂
𝐄
∂
t
∇
×
𝐄
=
-
∂
𝐁
∂
t
Doc 9
0.3182
-9.0000
8.0000
0.4645
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Electromagnetic_field.html
∇
×
𝐁
=
μ
0
𝐉
+
μ
0
ε
0
∂
𝐄
∂
t
∇
×
𝐄
=
-
∂
𝐁
∂
t
Doc 10
0.3182
-9.0000
8.0000
0.3182
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Vector_Laplacian.html
∇
2
𝐄
-
μ
0
ϵ
0
∂
2
𝐄
∂
t
2
=
0.
Doc 11
0.3182
-9.0000
7.0000
0.9545
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Slowly_varying_envelope_approximation.html
∇
2
E
-
μ
0
ε
0
∂
2
E
∂
t
2
=
0.
𝐤
0
⋅
∇
E
0
+
ω
0
μ
0
ε
0
∂
E
0
∂
t
=
0.
k
0
∂
E
0
∂
z
+
ω
0
μ
0
ε
0
∂
E
0
∂
t
-
1
2
i
Δ
⟂
E
0
=
0.
Doc 12
0.3182
-10.0000
8.0000
1.0330
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Magnetic_field.html
∇
×
𝐁
=
μ
0
𝐉
+
μ
0
ε
0
∂
𝐄
∂
t
,
s
y
m
b
o
l
τ
=
𝐦
×
𝐁
=
μ
0
𝐦
×
𝐇
,
∇
×
𝐇
=
𝐉
f
+
∂
𝐃
∂
t
,
∇
×
𝐄
=
-
∂
𝐁
∂
t
,
∇
×
𝐄
=
-
∂
𝐁
∂
t
.
Doc 13
0.3182
-15.0000
7.0000
0.4645
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Time_in_physics.html
∇
×
𝐁
=
μ
0
ε
0
∂
𝐄
∂
t
=
1
c
2
∂
𝐄
∂
t
∇
×
𝐄
=
-
∂
𝐁
∂
t
Doc 14
0.3182
-42.0000
8.0000
0.3182
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Vector_spherical_harmonics.html
∇
×
𝐁
^
=
μ
0
𝐉
^
+
i
μ
0
ε
0
ω
𝐄
^
⇒
-
B
r
r
+
d
B
(
1
)
d
r
+
B
(
1
)
r
=
μ
0
J
+
i
ω
μ
0
ε
0
E
Doc 15
0.2927
-31.0000
7.0000
0.2927
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/TITAN2D.html
∂
h
∂
t
⏟
Change
in mass
over time
+
∂
h
u
¯
∂
x
+
∂
h
v
¯
∂
y
⏟
Total spatial
variation of
x,y mass fluxes
=
0
Doc 16
0.2754
0.0000
7.0000
1.7920
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Ampère's_circuital_law.html
∇
×
𝐁
=
μ
0
𝐉
∇
×
𝐁
/
μ
0
=
𝐉
+
ε
0
∂
𝐄
∂
t
∇
×
𝐁
/
μ
0
=
𝐉
f
+
𝐉
bound
+
ε
0
∂
𝐄
∂
t
∇
×
𝐇
=
𝐉
f
+
∂
∂
t
𝐃
.
𝐁
=
μ
0
𝐇
∇
×
𝐇
=
𝐉
f
+
∂
𝐃
∂
t
∇
×
𝐁
/
μ
0
=
∇
×
(
𝐇
+
𝐌
)
∇
×
𝐁
=
1
c
(
4
π
𝐉
+
∂
𝐄
∂
t
)
.
∇
×
B
=
1
c
2
∂
E
∂
t
.
Doc 17
0.2754
0.0000
7.0000
0.6364
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Magnetic_potential.html
∇
×
𝐁
=
μ
0
𝐉
∂
E
∂
t
→
0
∇
×
𝐀
=
𝐁
,
∇
⋅
𝐁
=
μ
0
∇
⋅
(
𝐇
+
𝐌
)
=
0
,
Doc 18
0.2754
0.0000
7.0000
0.2754
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Biot–Savart_law.html
∇
×
𝐁
=
μ
0
𝐉
Doc 19
0.2754
0.0000
6.0000
1.1509
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Force-free_magnetic_field.html
∇
×
𝐁
=
μ
0
𝐣
∇
×
𝐁
=
α
𝐁
∇
×
𝐁
=
α
𝐁
∇
×
𝐁
=
α
𝐁
∇
×
(
α
𝐁
)
=
α
(
∇
×
𝐁
)
+
∇
α
×
𝐁
=
α
2
𝐁
+
∇
α
×
𝐁
∇
×
𝐁
=
0
Doc 20
0.2754
0.0000
6.0000
0.2754
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Toroidal_inductors_and_transformers.html
∇
×
𝐁
=
μ
0
𝐣
Doc 21
0.2754
-2.0000
5.0000
0.8262
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Pinch_(plasma_physics).html
∇
×
B
→
=
μ
0
J
→
∇
×
B
→
=
μ
0
J
→
∇
×
B
→
=
μ
0
J
→
Doc 22
0.2754
-4.0000
5.0000
0.4218
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000016/Articles/Induction_equation.html
∇
→
×
B
→
=
μ
0
J
→
,
∇
→
×
E
→
=
-
∂
B
→
∂
t
,
Doc 23
0.2754
-8.0000
7.0000
0.2754
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Magnetic_reconnection.html
∇
×
𝐁
=
μ
𝐉
+
μ
ϵ
∂
𝐄
∂
t
.
Doc 24
0.2754
-11.0000
7.0000
0.2754
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000011/Articles/Weibel_instability.html
∇
×
𝐁
𝟏
=
μ
0
𝐉
𝟏
-
i
ω
ϵ
0
μ
0
𝐄
𝟏
Doc 25
0.2754
-21.0000
6.0000
0.2754
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Ginzburg–Landau_theory.html
∇
×
𝐁
=
μ
0
𝐣
;
𝐣
=
2
e
m
Re
{
ψ
*
(
-
i
ℏ
∇
-
2
e
𝐀
)
ψ
}
Doc 26
0.2326
-3.0000
4.0000
0.2326
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Kepler_orbit.html
r
˙
×
H
=
μ
u
+
c
Doc 27
0.2326
-4.0000
6.0000
0.6547
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Defining_equation_(physics).html
𝐉
d
=
ϵ
0
∂
𝐄
∂
t
∮
S
𝐁
⋅
d
𝐥
=
μ
0
∮
S
(
𝐉
+
ϵ
0
∂
𝐄
∂
t
)
⋅
d
𝐀
𝐁
=
μ
0
𝐇
,
Doc 28
0.2326
-10.0000
6.0000
1.5322
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Maxwell's_equations.html
∇
×
𝐁
=
μ
0
(
𝐉
+
ε
0
∂
𝐄
∂
t
)
∇
×
𝐇
=
𝐉
f
+
∂
𝐃
∂
t
□
𝐀
=
μ
0
𝐉
∇
×
𝐁
=
1
c
(
4
π
𝐉
+
∂
𝐄
∂
t
)
∇
×
𝐄
=
-
∂
𝐁
∂
t
∇
×
𝐄
=
-
∂
𝐁
∂
t
∇
×
𝐄
=
-
1
c
∂
𝐁
∂
t
∇
×
𝐁
-
1
c
2
∂
𝐄
∂
t
=
μ
0
𝐉
□
𝐀
+
∇
(
∇
⋅
𝐀
+
1
c
2
∂
φ
∂
t
)
=
μ
0
𝐉
Doc 29
0.2326
-10.0000
6.0000
0.8320
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Inhomogeneous_electromagnetic_wave_equation.html
∇
×
𝐁
=
μ
0
(
𝐉
+
ε
0
∂
𝐄
∂
t
)
∇
×
𝐁
=
1
c
(
4
π
𝐉
+
∂
𝐄
∂
t
)
∇
×
𝐄
=
-
∂
𝐁
∂
t
∇
×
𝐄
=
-
1
c
∂
𝐁
∂
t
1
c
2
∂
2
𝐁
∂
t
2
-
∇
2
𝐁
=
μ
0
∇
×
𝐉
.
Doc 30
0.2326
-22.0000
5.0000
0.2326
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Transmission-line_matrix_method.html
∂
2
H
z
∂
x
2
+
∂
2
H
z
∂
y
2
=
μ
ε
∂
2
H
z
∂
t
2
Doc 31
0.2179
-14.0000
6.0000
0.3642
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000013/Articles/Gravitoelectromagnetism.html
∇
×
𝐁
=
1
ϵ
0
c
2
𝐉
+
1
c
2
∂
𝐄
∂
t
∇
×
𝐄
=
-
∂
𝐁
∂
t
Doc 32
0.2051
-2.0000
5.0000
0.2051
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000012/Articles/Gauss's_law_for_magnetism.html
∇
⋅
𝐁
=
μ
0
ρ
m
Doc 33
0.2051
-8.0000
4.0000
0.2051
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Lorenz_gauge_condition.html
∇
×
(
E
→
+
∂
A
→
∂
t
)
=
0
Doc 34
0.1896
-1.0000
4.0000
0.3359
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Magnetism.html
𝐁
=
μ
0
𝐇
,
𝐁
=
μ
0
(
𝐇
+
𝐌
)
.
Doc 35
0.1896
-6.0000
4.0000
0.1896
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/A_Dynamical_Theory_of_the_Electromagnetic_Field.html
∇
×
𝐇
=
ε
o
∂
𝐄
∂
t
Doc 36
0.1896
-6.0000
3.0000
0.6537
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Stokes'_theorem.html
∇
×
𝐇
=
𝐉
+
∂
𝐃
∂
t
∇
×
𝐇
=
1
c
∂
𝐃
∂
t
+
4
π
c
𝐉
,
∇
×
𝐄
=
-
∂
𝐁
∂
t
∇
×
𝐄
=
-
1
c
∂
𝐁
∂
t
,
Doc 37
0.1896
-7.0000
4.0000
0.1896
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000004/Articles/Poynting's_theorem.html
𝐃
=
ϵ
0
𝐄
,
𝐁
=
μ
0
𝐇
.
Doc 38
0.1896
-7.0000
3.0000
0.1896
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Covariant_formulation_of_classical_electromagnetism.html
∇
×
H
=
J
free
+
∂
D
∂
t
Doc 39
0.1896
-7.0000
3.0000
0.1896
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Continuity_equation.html
∇
×
𝐇
=
𝐉
+
∂
𝐃
∂
t
.
Doc 40
0.1896
-13.0000
4.0000
0.1896
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Mathematics_of_radio_engineering.html
∇
×
(
E
+
i
B
)
=
i
∂
∂
t
(
E
+
i
B
)
Doc 41
0.1896
-14.0000
4.0000
0.1896
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Gauge_fixing.html
1
c
2
∂
2
𝐀
∂
t
2
-
∇
2
𝐀
=
μ
0
𝐉
Doc 42
0.1896
-50.0000
5.0000
0.1896
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000009/Articles/Pressure-correction_method.html
ρ
(
∂
𝐯
∂
t
⏟
Unsteady
acceleration
+
(
𝐯
⋅
∇
)
𝐯
⏟
Convective
acceleration
)
⏞
Inertia
=
-
∇
p
⏟
Pressure
gradient
+
μ
∇
2
𝐯
⏟
Viscosity
+
𝐟
⏟
Other
forces
Doc 43
0.1604
-8.0000
4.0000
0.6135
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000014/Articles/Planck_units.html
∇
×
𝐁
=
4
π
𝐉
+
∂
𝐄
∂
t
∇
×
𝐁
=
1
c
2
(
1
ϵ
0
𝐉
+
∂
𝐄
∂
t
)
∇
×
𝐄
=
-
∂
𝐁
∂
t
∇
×
𝐄
=
-
∂
𝐁
∂
t
Doc 44
0.1604
-11.0000
4.0000
0.1604
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Quasiconformal_mapping.html
∂
f
∂
z
¯
=
μ
(
z
)
∂
f
∂
z
,
Doc 45
0.1604
-11.0000
4.0000
0.1604
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Schwarzian_derivative.html
∂
F
∂
z
¯
=
μ
(
z
)
∂
F
∂
z
,
Doc 46
0.1463
-4.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000003/Articles/Magnetic_moment.html
𝐁
=
μ
0
(
𝐇
+
𝐌
)
Doc 47
0.1463
-4.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000006/Articles/Magnetization.html
𝐁
=
μ
0
(
𝐇
+
𝐌
)
Doc 48
0.1463
-5.0000
4.0000
0.2927
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/London_equations.html
∇
×
𝐁
=
4
π
𝐣
c
∇
×
𝐄
=
-
1
c
∂
𝐁
∂
t
Doc 49
0.1463
-5.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Momentum.html
𝐁
=
μ
0
(
𝐇
+
𝐌
)
.
Doc 50
0.1463
-6.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Optical_tweezers.html
∇
×
𝐄
=
-
∂
𝐁
∂
t
Doc 51
0.1463
-6.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Transcranial_magnetic_stimulation.html
∇
×
𝐄
=
-
∂
𝐁
∂
t
Doc 52
0.1463
-7.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000001/Articles/Lorentz_force.html
∇
×
𝐄
=
-
∂
𝐁
∂
t
.
Doc 53
0.1463
-8.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000002/Articles/Poisson's_equation.html
∇
×
𝐄
=
-
∂
𝐁
∂
t
=
0
Doc 54
0.1463
-9.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Moving_magnet_and_conductor_problem.html
∇
×
𝐄
′
=
-
∂
𝐁
′
∂
t
.
Doc 55
0.1463
-9.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Theoretical_and_experimental_justification_for_the_Schrödinger_equation.html
∇
×
𝐄
=
-
1
c
∂
𝐁
∂
t
Doc 56
0.1463
-11.0000
4.0000
0.1463
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000008/Articles/Voigt_effect.html
∇
→
×
H
→
=
1
c
∂
D
→
∂
t
Doc 57
0.1463
-13.0000
4.0000
0.2927
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000005/Articles/Electromagnetic_tensor.html
∇
⋅
𝐁
=
0
,
∂
𝐁
∂
t
+
∇
×
𝐄
=
0
∇
⋅
𝐄
=
ρ
ϵ
0
,
∇
×
𝐁
-
1
c
2
∂
𝐄
∂
t
=
μ
0
𝐉
Doc 58
0.1143
-4.0000
4.0000
0.1143
testing/NTCIR12_MathIR_WikiCorpus_v2.1.0/MathTagArticles/wpmath0000007/Articles/Magnetic_tension_force.html
𝐒
=
𝐄
×
𝐁
/
μ
0