tangent
Not Supported
f
μ
=
-
8
π
G
3
c
4
(
A
2
T
α
β
+
B
2
T
η
α
β
)
(
δ
ν
μ
+
u
μ
u
ν
)
u
α
x
ν
u
β
Search
Returned 98 matches (100 formulae, 52 docs)
Lookup 16.476 ms, Re-ranking 8027.534 ms
Found 210723 tuple postings, 123740 formulae, 18614 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
f
μ
=
-
8
π
G
3
c
4
(
A
2
T
α
β
+
B
2
T
η
α
β
)
(
δ
ν
μ
+
u
μ
u
ν
)
u
α
x
ν
u
β
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
f
´
μ
=
-
8
π
G
3
c
4
(
A
2
T
´
α
β
+
B
2
T
´
g
α
β
)
(
δ
ν
μ
+
u
´
μ
u
´
ν
)
u
´
α
x
´
ν
u
´
β
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
f
μ
=
-
8
π
G
3
c
4
(
A
2
T
α
β
+
B
2
T
η
α
β
)
δ
ν
μ
u
α
x
ν
u
β
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
R
´
α
β
=
8
π
G
c
4
(
A
2
T
´
α
β
+
B
2
T
´
g
α
β
)
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
R
´
=
R
´
α
α
=
8
π
G
c
4
(
A
2
T
´
α
α
+
B
2
T
´
δ
α
α
)
=
8
π
G
c
4
(
A
2
+
2
B
)
T
´
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
F
=
∫
(
A
2
ϕ
2
+
B
4
ϕ
4
+
κ
2
(
∇
ϕ
)
2
)
d
x
.
Doc 2
0.2447, -15.0000, 7.0000, 0.2447
testing/wikipedia/v3/17988.html
d
2
u
d
θ
2
+
u
=
r
s
c
2
2
h
2
+
3
r
s
2
u
2
-
G
Q
2
4
π
ε
0
c
4
(
c
2
h
2
u
+
2
u
3
)
Doc 3
0.2198, -38.0000, 5.0000, 0.2198
testing/wikipedia/v3/25303.html
T
α
β
=
-
1
μ
0
(
F
α
F
ψ
ψ
+
β
1
4
g
α
β
F
ψ
τ
F
ψ
τ
)
Doc 4
0.2118, -18.0000, 4.0000, 1.2415
testing/wikipedia/v3/04746.html
d
2
x
´
μ
d
τ
2
+
R
μ
´
α
ν
β
u
´
α
x
´
ν
u
´
β
=
0
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
R
α
β
-
1
2
R
g
α
β
+
g
α
β
Λ
=
8
π
G
c
4
μ
0
(
F
α
F
ψ
ψ
+
β
1
4
g
α
β
F
ψ
τ
F
ψ
τ
)
.
Doc 4
0.2118, -18.0000, 4.0000, 1.2415
testing/wikipedia/v3/04746.html
R
μ
ν
-
1
2
R
g
μ
ν
=
8
π
G
c
4
T
μ
ν
,
Doc 5
0.1947, -13.0000, 2.0000, 0.4057
testing/wikipedia/v3/01979.html
G
μ
ν
≡
R
μ
ν
-
1
2
R
g
μ
ν
=
8
π
G
c
4
T
μ
ν
.
Doc 6
0.1947, -17.0000, 2.0000, 0.3895
testing/wikipedia/v3/00428.html
R
μ
ν
-
1
2
R
g
μ
ν
+
Λ
g
μ
ν
=
8
π
G
c
4
T
μ
ν
Doc 6
0.1947, -17.0000, 2.0000, 0.3895
testing/wikipedia/v3/00428.html
R
μ
ν
-
1
2
R
g
μ
ν
+
Λ
g
μ
ν
=
8
π
G
c
4
T
μ
ν
,
Doc 7
0.1947, -18.0000, 2.0000, 0.1947
testing/wikipedia/v3/01173.html
R
μ
ν
-
g
μ
ν
Λ
=
8
π
G
c
4
(
T
μ
ν
-
1
2
T
g
μ
ν
)
.
Doc 4
0.2118, -18.0000, 4.0000, 1.2415
testing/wikipedia/v3/04746.html
T
μ
ν
=
1
μ
0
[
F
μ
α
F
α
ν
-
1
4
η
μ
ν
F
α
β
F
α
β
]
.
Doc 8
0.1858, -19.0000, 5.0000, 0.1858
testing/wikipedia/v3/13393.html
t
L
L
μ
ν
+
c
4
Λ
g
μ
ν
8
π
G
=
c
4
16
π
G
(
(
2
Γ
α
β
σ
Γ
σ
ρ
ρ
-
Γ
α
ρ
σ
Γ
β
σ
ρ
-
Γ
α
σ
σ
Γ
β
ρ
ρ
)
(
g
μ
α
g
ν
β
-
g
μ
ν
g
α
β
)
+
Doc 9
0.1858, -57.0000, 6.0000, 0.7497
testing/wikipedia/v3/14154.html
T
00
→
u
α
(
A
T
α
β
+
B
T
η
α
β
)
u
β
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
d
u
μ
d
τ
+
R
μ
α
ν
β
u
α
x
ν
u
β
=
0
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
R
μ
ν
-
1
2
g
μ
ν
R
=
8
π
G
c
4
T
μ
ν
,
Doc 10
0.1696, -14.0000, 2.0000, 0.3220
testing/wikipedia/v3/06747.html
d
S
α
d
τ
=
e
m
[
g
2
F
α
β
S
β
+
(
g
2
-
1
)
u
α
(
S
λ
F
λ
μ
U
μ
)
]
,
Doc 11
0.1696, -29.0000, 3.0000, 0.1696
testing/wikipedia/v3/11120.html
f
μ
→
f
μ
+
u
μ
u
ν
f
ν
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
R
´
=
-
8
π
G
c
4
T
´
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
𝐟
=
-
4
π
G
3
c
4
(
M
c
2
V
)
𝐫
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
t
L
L
μ
ν
=
-
c
4
8
π
G
G
μ
ν
+
c
4
16
π
G
(
-
g
)
(
(
-
g
)
(
g
μ
ν
g
α
β
-
g
μ
α
g
ν
β
)
)
,
α
β
Doc 9
0.1858, -57.0000, 6.0000, 0.7497
testing/wikipedia/v3/14154.html
d
2
x
μ
d
s
2
=
-
Γ
μ
d
x
α
d
s
α
β
d
x
β
d
s
+
q
m
F
μ
β
d
x
α
d
s
g
α
β
.
Doc 12
0.1593, -34.0000, 3.0000, 0.2781
testing/wikipedia/v3/09859.html
t
μ
ν
=
c
4
16
π
G
-
g
(
(
g
α
β
-
g
)
,
μ
(
Γ
α
β
ν
-
δ
β
ν
Γ
α
σ
σ
)
-
δ
μ
ν
g
α
β
(
Γ
α
β
σ
Γ
σ
ρ
ρ
-
Γ
α
σ
ρ
Γ
β
ρ
σ
)
-
g
)
Doc 9
0.1858, -57.0000, 6.0000, 0.7497
testing/wikipedia/v3/14154.html
R
μ
ν
-
1
2
g
μ
ν
R
+
Λ
g
μ
ν
=
8
π
G
c
4
T
μ
ν
Doc 13
0.1524, -18.0000, 2.0000, 0.1524
testing/wikipedia/v3/13442.html
R
μ
ν
-
1
2
g
μ
ν
R
+
Λ
g
μ
ν
=
8
π
G
c
4
T
μ
ν
.
Doc 10
0.1696, -14.0000, 2.0000, 0.3220
testing/wikipedia/v3/06747.html
S
=
1
64
π
G
∫
d
4
x
-
η
η
μ
ν
g
α
β
g
γ
δ
(
g
α
γ
|
μ
g
α
δ
|
ν
-
1
2
g
α
β
|
μ
g
γ
δ
|
ν
)
+
S
m
Doc 14
0.1457, -40.0000, 4.0000, 0.3817
testing/wikipedia/v3/14823.html
R
μ
ν
-
1
2
g
μ
ν
R
+
g
μ
ν
Λ
=
8
π
G
c
4
T
μ
ν
Doc 4
0.2118, -18.0000, 4.0000, 1.2415
testing/wikipedia/v3/04746.html
Doc 15
0.1443, -19.0000, 2.0000, 0.2153
testing/wikipedia/v3/05640.html
R
μ
ν
-
1
2
g
μ
ν
R
+
g
μ
ν
Λ
=
8
π
G
c
4
T
μ
ν
.
Doc 4
0.2118, -18.0000, 4.0000, 1.2415
testing/wikipedia/v3/04746.html
R
μ
ν
-
1
2
g
μ
ν
R
-
g
μ
ν
Λ
=
-
8
π
G
c
4
T
μ
ν
.
Doc 4
0.2118, -18.0000, 4.0000, 1.2415
testing/wikipedia/v3/04746.html
ℒ
=
-
1
4
μ
0
F
α
β
F
α
β
-
g
+
A
α
J
free
α
+
1
2
F
α
β
ℳ
α
β
.
Doc 16
0.1443, -27.0000, 4.0000, 0.2887
testing/wikipedia/v3/13398.html
T
μ
ν
=
-
1
μ
0
(
F
μ
α
g
α
β
F
β
ν
-
1
4
g
μ
ν
F
σ
α
g
α
β
F
β
ρ
g
ρ
σ
)
Doc 16
0.1443, -27.0000, 4.0000, 0.2887
testing/wikipedia/v3/13398.html
R
μ
ν
-
1
2
g
μ
ν
R
=
8
π
ϕ
T
M
μ
ν
-
3
2
ϕ
2
(
∇
μ
ϕ
∇
ν
ϕ
-
1
2
g
μ
ν
g
α
β
∇
α
ϕ
∇
β
ϕ
)
Doc 17
0.1443, -42.0000, 3.0000, 0.1443
testing/wikipedia/v3/12673.html
ℒ
=
-
1
16
π
(
∂
μ
A
ν
-
∂
ν
A
μ
)
(
∂
μ
A
ν
-
∂
ν
A
μ
)
+
m
2
c
2
8
π
ℏ
2
A
ν
A
ν
.
Doc 18
0.1374, -33.0000, 4.0000, 0.2083
testing/wikipedia/v3/08122.html
R
μ
´
α
ν
β
u
´
α
x
´
ν
u
´
β
=
-
f
´
μ
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
1
2
(
2
A
)
+
1
2
(
A
2
)
=
5
4
A
Doc 19
0.1348, -13.0000, 5.0000, 0.1348
testing/wikipedia/v3/10698.html
ℒ
[
φ
(
x
)
]
=
-
1
4
F
μ
ν
F
μ
ν
+
1
2
m
2
A
μ
A
μ
+
A
μ
J
μ
Doc 20
0.1348, -25.0000, 3.0000, 0.2610
testing/wikipedia/v3/25830.html
T
α
β
=
1
μ
0
(
η
γ
ν
F
α
γ
F
ν
β
-
1
4
η
α
β
F
γ
ν
F
γ
ν
)
Doc 21
0.1348, -25.0000, 1.0000, 0.3198
testing/wikipedia/v3/13397.html
ℒ
=
-
1
4
(
∂
μ
A
ν
-
∂
ν
A
μ
)
(
∂
μ
A
ν
-
∂
ν
A
μ
)
+
1
2
(
∂
μ
ϕ
+
m
A
μ
)
(
∂
μ
ϕ
+
m
A
μ
)
Doc 22
0.1322, -38.0000, 4.0000, 0.2584
testing/wikipedia/v3/08123.html
T
α
β
=
(
ρ
+
p
c
2
)
u
α
u
β
+
p
g
α
β
Doc 5
0.1947, -13.0000, 2.0000, 0.4057
testing/wikipedia/v3/01979.html
T
μ
ν
=
c
4
8
π
G
(
R
μ
ν
-
1
2
g
μ
ν
R
)
.
Doc 14
0.1457, -40.0000, 4.0000, 0.3817
testing/wikipedia/v3/14823.html
D
u
´
μ
D
τ
=
d
u
´
μ
d
τ
+
Γ
μ
α
β
u
´
α
u
´
β
=
0
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
ℒ
=
-
1
2
μ
0
(
∂
μ
A
ν
∂
μ
A
ν
-
∂
ν
A
μ
∂
μ
A
ν
)
.
Doc 23
0.1261, -20.0000, 2.0000, 0.1261
testing/wikipedia/v3/09580.html
S
=
m
∫
d
τ
(
1
2
x
˙
μ
x
˙
ν
g
μ
ν
+
(
B
μ
+
B
~
μ
)
x
˙
μ
)
.
Doc 24
0.1261, -21.0000, 4.0000, 0.1261
testing/wikipedia/v3/30083.html
ℒ
=
-
1
2
tr
(
G
α
β
G
α
β
)
+
ψ
¯
(
P
μ
+
g
s
𝒜
μ
)
γ
μ
ψ
Doc 25
0.1261, -21.0000, 2.0000, 0.1261
testing/wikipedia/v3/28456.html
S
=
∫
1
4
F
μ
ν
F
μ
ν
=
∫
-
1
2
(
∂
μ
A
ν
∂
μ
A
ν
-
∂
μ
A
μ
∂
ν
A
ν
)
.
Doc 26
0.1261, -30.0000, 3.0000, 0.2007
testing/wikipedia/v3/00414.html
=
1
2
∫
d
4
x
A
ν
(
∂
2
A
ν
-
∂
ν
∂
μ
A
μ
)
=
1
2
∫
d
4
x
A
μ
(
η
μ
ν
∂
2
)
A
ν
,
Doc 20
0.1348, -25.0000, 3.0000, 0.2610
testing/wikipedia/v3/25830.html
ℒ
v
=
-
K
32
π
G
[
g
α
β
g
μ
ν
(
B
α
μ
B
β
ν
)
+
2
λ
K
(
g
μ
ν
u
μ
u
ν
-
1
)
]
-
g
Doc 27
0.1261, -34.0000, 2.0000, 0.3119
testing/wikipedia/v3/11236.html
ℒ
S
t
=
-
1
4
C
μ
ν
C
μ
ν
+
g
X
C
μ
𝒥
X
μ
-
1
2
(
∂
μ
σ
+
M
1
C
μ
+
M
2
B
μ
)
2
.
Doc 22
0.1322, -38.0000, 4.0000, 0.2584
testing/wikipedia/v3/08123.html
(
-
g
)
(
t
L
L
μ
ν
+
c
4
Λ
g
μ
ν
8
π
G
)
=
c
4
16
π
G
(
(
-
g
g
μ
ν
)
,
α
(
-
g
g
α
β
)
,
β
-
Doc 9
0.1858, -57.0000, 6.0000, 0.7497
testing/wikipedia/v3/14154.html
G
μ
ν
+
g
μ
ν
Λ
=
8
π
G
c
4
T
μ
ν
.
Doc 4
0.2118, -18.0000, 4.0000, 1.2415
testing/wikipedia/v3/04746.html
ℒ
=
-
1
4
μ
0
F
α
β
F
α
β
-
A
α
J
free
α
+
1
2
F
α
β
ℳ
α
β
.
Doc 21
0.1348, -25.0000, 1.0000, 0.3198
testing/wikipedia/v3/13397.html
Γ
α
β
μ
(
X
)
=
C
μ
γ
2
(
∂
C
α
γ
∂
X
β
+
∂
C
β
γ
∂
X
α
-
∂
C
α
β
∂
X
γ
)
Doc 28
0.1188, -33.0000, 4.0000, 0.1188
testing/wikipedia/v3/25135.html
=
(
g
μ
ν
,
λ
x
˙
μ
x
˙
ν
)
(
g
α
β
x
˙
α
x
˙
β
)
+
1
2
(
g
λ
ν
x
˙
ν
+
g
λ
μ
x
˙
μ
)
d
d
τ
(
g
μ
ν
x
˙
μ
x
˙
ν
)
(
6
)
Doc 12
0.1593, -34.0000, 3.0000, 0.2781
testing/wikipedia/v3/09859.html
t
L
L
μ
ν
=
-
c
4
8
π
G
(
G
μ
ν
+
Λ
g
μ
ν
)
+
c
4
16
π
G
(
-
g
)
(
(
-
g
)
(
g
μ
ν
g
α
β
-
g
μ
α
g
ν
β
)
)
,
α
β
Doc 9
0.1858, -57.0000, 6.0000, 0.7497
testing/wikipedia/v3/14154.html
G
μ
ν
=
8
π
G
c
4
T
μ
ν
Doc 29
0.1099, -8.0000, 2.0000, 0.1099
testing/wikipedia/v3/27211.html
Doc 30
0.1099, -8.0000, 2.0000, 0.1099
testing/wikipedia/v3/10177.html
𝒢
α
β
=
8
π
G
c
4
T
´
α
β
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
∇
2
A
=
-
μ
0
d
d
A
(
p
+
B
z
2
2
μ
0
)
Doc 31
0.1099, -16.0000, 4.0000, 0.1099
testing/wikipedia/v3/10539.html
R
μ
ν
=
8
π
G
c
4
(
T
μ
ν
-
1
2
g
μ
ν
T
)
Doc 14
0.1457, -40.0000, 4.0000, 0.3817
testing/wikipedia/v3/14823.html
α
2
(
∂
μ
A
μ
)
2
Doc 32
0.0992, -3.0000, 2.0000, 0.1840
testing/wikipedia/v3/25725.html
C
-
vertex
=
sec
2
(
A
2
)
:
sec
2
(
B
2
)
:
0
Doc 33
0.0992, -13.0000, 5.0000, 0.3841
testing/wikipedia/v3/02497.html
C
-
vertex
=
csc
2
(
A
2
)
:
csc
2
(
B
2
)
:
0
Doc 33
0.0992, -13.0000, 5.0000, 0.3841
testing/wikipedia/v3/02497.html
h
α
β
=
g
α
β
-
u
α
u
β
Doc 27
0.1261, -34.0000, 2.0000, 0.3119
testing/wikipedia/v3/11236.html
8
π
G
c
4
T
β
α
=
G
β
α
Doc 34
0.0929, -8.0000, 0.0000, 0.0929
testing/wikipedia/v3/16167.html
η
μ
ν
Λ
α
μ
Λ
β
ν
=
η
α
β
.
Doc 35
0.0929, -9.0000, 1.0000, 0.1590
testing/wikipedia/v3/00612.html
G
μ
ν
+
Λ
g
μ
ν
=
8
π
G
c
4
T
μ
ν
Doc 36
0.0929, -13.0000, 1.0000, 0.0929
testing/wikipedia/v3/04142.html
sec
2
(
A
2
)
:
sec
2
(
B
2
)
:
sec
2
(
C
2
)
Doc 33
0.0992, -13.0000, 5.0000, 0.3841
testing/wikipedia/v3/02497.html
csc
2
(
A
2
)
:
csc
2
(
B
2
)
:
csc
2
(
C
2
)
Doc 33
0.0992, -13.0000, 5.0000, 0.3841
testing/wikipedia/v3/02497.html
=
1
2
(
η
μ
ν
γ
μ
γ
ν
+
η
ν
μ
γ
μ
γ
ν
)
Doc 37
0.0929, -15.0000, 2.0000, 0.1858
testing/wikipedia/v3/11301.html
T
α
S
α
=
T
α
η
α
β
S
β
=
T
α
η
α
β
S
β
=
invariant scalar
Doc 38
0.0929, -17.0000, 5.0000, 0.0929
testing/wikipedia/v3/00927.html
R
μ
ν
+
(
Λ
-
R
2
)
g
μ
ν
=
8
π
G
c
4
T
μ
ν
Doc 39
0.0929, -18.0000, 1.0000, 0.0929
testing/wikipedia/v3/01984.html
sin
(
α
)
±
sin
(
β
)
=
2
sin
(
α
±
β
2
)
cos
(
α
∓
β
2
)
,
Doc 40
0.0929, -19.0000, 4.0000, 0.0929
testing/wikipedia/v3/03961.html
ε
α
β
=
1
2
(
u
α
,
β
+
u
β
,
α
)
-
x
3
w
,
α
β
.
Doc 41
0.0929, -20.0000, 4.0000, 0.1638
testing/wikipedia/v3/25749.html
Doc 42
0.0929, -20.0000, 4.0000, 0.0929
testing/wikipedia/v3/26535.html
=
1
2
tr
(
γ
μ
γ
ν
+
γ
ν
γ
μ
)
=
1
2
tr
(
{
γ
μ
,
γ
ν
}
)
Doc 37
0.0929, -15.0000, 2.0000, 0.1858
testing/wikipedia/v3/11301.html
T
≡
T
α
α
=
-
u
α
u
α
T
=
-
u
α
T
η
α
β
u
β
→
-
T
00
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
Γ
β
μ
ν
=
1
2
(
∂
g
β
ν
∂
x
μ
+
∂
g
β
μ
∂
x
ν
-
∂
g
μ
ν
∂
x
β
)
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
ℒ
s
=
-
1
2
[
σ
2
h
α
β
∂
α
ϕ
∂
β
ϕ
+
1
2
G
l
2
σ
4
F
(
k
G
σ
2
)
]
-
g
,
Doc 27
0.1261, -34.0000, 2.0000, 0.3119
testing/wikipedia/v3/11236.html
g
α
β
u
α
u
β
=
-
c
2
Doc 43
0.0848, -7.0000, 2.0000, 0.1622
testing/wikipedia/v3/00566.html
u
α
u
β
g
α
β
=
-
c
2
.
Doc 5
0.1947, -13.0000, 2.0000, 0.4057
testing/wikipedia/v3/01979.html
G
μ
ν
=
8
π
G
c
4
T
μ
ν
.
Doc 44
0.0848, -10.0000, 2.0000, 0.0848
testing/wikipedia/v3/07419.html
G
μ
ν
=
8
π
G
N
c
4
T
μ
ν
,
Doc 45
0.0848, -11.0000, 2.0000, 0.0848
testing/wikipedia/v3/15664.html
(
F
μ
ν
)
2
4
+
μ
2
2
(
A
μ
)
2
Doc 32
0.0992, -3.0000, 2.0000, 0.1840
testing/wikipedia/v3/25725.html
T
=
u
α
γ
μ
α
β
(
x
-
x
′
)
μ
u
¯
β
.
Doc 46
0.0848, -13.0000, 2.0000, 0.1509
testing/wikipedia/v3/16730.html
R
μ
α
ν
β
=
1
r
2
η
α
β
δ
μ
ν
Doc 1
1.0000, 0.0000, 41.0000, 5.3095
testing/wikipedia/v3/12471.html
T
=
g
α
β
T
α
β
≈
g
00
T
00
≈
-
1
c
2
ρ
c
4
=
-
ρ
c
2
Doc 4
0.2118, -18.0000, 4.0000, 1.2415
testing/wikipedia/v3/04746.html
excess kurtosis
=
6
3
+
ν
(
(
1
-
2
μ
)
2
(
1
+
ν
)
μ
(
1
-
μ
)
(
2
+
ν
)
-
1
)
Doc 47
0.0848, -26.0000, 4.0000, 0.0848
testing/wikipedia/v3/02956.html
∂
t
u
+
∂
x
[
u
2
2
+
G
2
*
(
b
u
2
2
+
(
3
-
b
)
u
x
2
2
)
]
=
0.
Doc 48
0.0848, -30.0000, 3.0000, 0.0848
testing/wikipedia/v3/22036.html
-
c
2
=
g
α
β
u
α
u
β
=
g
t
t
(
u
t
)
2
+
g
s
s
v
2
(
u
t
)
2
.
Doc 43
0.0848, -7.0000, 2.0000, 0.1622
testing/wikipedia/v3/00566.html
S
=
∫
1
2
(
∂
μ
A
ν
∂
μ
A
ν
-
λ
(
∂
μ
A
μ
)
2
)
Doc 26
0.1261, -30.0000, 3.0000, 0.2007
testing/wikipedia/v3/00414.html
∂
μ
(
∂
μ
A
ν
-
∂
ν
A
μ
)
+
(
m
c
ℏ
)
2
A
ν
=
0
Doc 15
0.1443, -19.0000, 2.0000, 0.2153
testing/wikipedia/v3/05640.html
Doc 18
0.1374, -33.0000, 4.0000, 0.2083
testing/wikipedia/v3/08122.html
Doc 49
0.0709, -18.0000, 1.0000, 0.0709
testing/wikipedia/v3/25057.html
ε
α
β
=
1
2
(
u
α
,
β
+
u
β
,
α
+
u
3
,
α
u
3
,
β
)
ε
α
3
=
1
2
(
u
α
,
3
+
u
3
,
α
)
ε
33
=
u
3
,
3
Doc 41
0.0929, -20.0000, 4.0000, 0.1638
testing/wikipedia/v3/25749.html
V
=
u
α
γ
μ
α
β
ρ
μ
u
¯
β
.
Doc 46
0.0848, -13.0000, 2.0000, 0.1509
testing/wikipedia/v3/16730.html
η
μ
ν
Λ
μ
α
Λ
ν
β
=
η
α
β
Doc 35
0.0929, -9.0000, 1.0000, 0.1590
testing/wikipedia/v3/00612.html
η
α
ν
T
ν
β
,
β
+
F
α
β
J
β
=
0
,
Doc 21
0.1348, -25.0000, 1.0000, 0.3198
testing/wikipedia/v3/13397.html
E
c
(
u
)
=
exp
[
-
1
2
(
π
λ
δ
)
2
u
4
]
,
Doc 50
0.0661, -15.0000, 2.0000, 0.0661
testing/wikipedia/v3/13315.html
=
∂
μ
ϕ
(
x
ν
∂
ν
ϕ
+
ϕ
)
-
x
μ
(
1
2
∂
ν
ϕ
∂
ν
ϕ
-
λ
ϕ
4
)
.
Doc 51
0.0661, -26.0000, 3.0000, 0.0661
testing/wikipedia/v3/02374.html
σ
2
=
(
α
β
)
2
(
1
+
5
α
2
4
)
Doc 52
0.0594, -12.0000, 2.0000, 0.0594
testing/wikipedia/v3/21706.html