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 ]

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 μ u ν ) u α x ν u β
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
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
R ´ α β = 8 π G c 4 ( A 2 T ´ α β + B 2 T ´ g α β )
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 ´
d 2 x ´ μ d τ 2 + R μ ´ α ν β u ´ α x ´ ν u ´ β = 0
T 00 u α ( A T α β + B T η α β ) u β
d u μ d τ + R μ α ν β u α x ν u β = 0
f μ f μ + u μ u ν f ν
R ´ = - 8 π G c 4 T ´
𝐟 = - 4 π G 3 c 4 ( M c 2 V ) 𝐫
R μ ´ α ν β u ´ α x ´ ν u ´ β = - f ´ μ
D u ´ μ D τ = d u ´ μ d τ + Γ μ α β u ´ α u ´ β = 0
𝒢 α β = 8 π G c 4 T ´ α β
T T α α = - u α u α T = - u α T η α β u β - T 00
Γ β μ ν = 1 2 ( g β ν x μ + g β μ x ν - g μ ν x β )
R μ α ν β = 1 r 2 η α β δ μ ν

Doc 2
0.2447
-15.0000
7.0000
0.2447
testing/wikipedia/v3/17988.html
F = ( A 2 ϕ 2 + B 4 ϕ 4 + κ 2 ( ϕ ) 2 ) d x .

Doc 3
0.2198
-38.0000
5.0000
0.2198
testing/wikipedia/v3/25303.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 4
0.2118
-18.0000
4.0000
1.2415
testing/wikipedia/v3/04746.html
T α β = - 1 μ 0 ( F α F ψ ψ + β 1 4 g α β F ψ τ F ψ τ )
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 ) .
R μ ν - g μ ν Λ = 8 π G c 4 ( T μ ν - 1 2 T g μ ν ) .
R μ ν - 1 2 g μ ν R + g μ ν Λ = 8 π G c 4 T μ ν
R μ ν - 1 2 g μ ν R + g μ ν Λ = 8 π G c 4 T μ ν .
R μ ν - 1 2 g μ ν R - g μ ν Λ = - 8 π G c 4 T μ ν .
G μ ν + g μ ν Λ = 8 π G c 4 T μ ν .
T = g α β T α β g 00 T 00 - 1 c 2 ρ c 4 = - ρ c 2

Doc 5
0.1947
-13.0000
2.0000
0.4057
testing/wikipedia/v3/01979.html
R μ ν - 1 2 R g μ ν = 8 π G c 4 T μ ν ,
T α β = ( ρ + p c 2 ) u α u β + p g α β
u α u β g α β = - c 2 .
Doc 6
0.1947
-17.0000
2.0000
0.3895
testing/wikipedia/v3/00428.html
G μ ν R μ ν - 1 2 R g μ ν = 8 π G c 4 T μ ν .
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 - 1 2 R g μ ν + Λ g μ ν = 8 π G c 4 T μ ν ,

Doc 8
0.1858
-19.0000
5.0000
0.1858
testing/wikipedia/v3/13393.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 9
0.1858
-57.0000
6.0000
0.7497
testing/wikipedia/v3/14154.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 ) +
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
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 )
( - 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 -
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 10
0.1696
-14.0000
2.0000
0.3220
testing/wikipedia/v3/06747.html
R μ ν - 1 2 g μ ν R = 8 π G c 4 T μ ν ,
R μ ν - 1 2 g μ ν R + Λ g μ ν = 8 π G c 4 T μ ν .

Doc 11
0.1696
-29.0000
3.0000
0.1696
testing/wikipedia/v3/11120.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 12
0.1593
-34.0000
3.0000
0.2781
testing/wikipedia/v3/09859.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 .
= ( 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 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 14
0.1457
-40.0000
4.0000
0.3817
testing/wikipedia/v3/14823.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
T μ ν = c 4 8 π G ( R μ ν - 1 2 g μ ν R ) .
R μ ν = 8 π G c 4 ( T μ ν - 1 2 g μ ν T )
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
μ ( μ A ν - ν A μ ) + ( m c ) 2 A ν = 0

Doc 16
0.1443
-27.0000
4.0000
0.2887
testing/wikipedia/v3/13398.html
= - 1 4 μ 0 F α β F α β - g + A α J free α + 1 2 F α β α β .
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 17
0.1443
-42.0000
3.0000
0.1443
testing/wikipedia/v3/12673.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 18
0.1374
-33.0000
4.0000
0.2083
testing/wikipedia/v3/08122.html
= - 1 16 π ( μ A ν - ν A μ ) ( μ A ν - ν A μ ) + m 2 c 2 8 π 2 A ν A ν .
μ ( μ A ν - ν A μ ) + ( m c ) 2 A ν = 0

Doc 19
0.1348
-13.0000
5.0000
0.1348
testing/wikipedia/v3/10698.html
1 2 ( 2 A ) + 1 2 ( A 2 ) = 5 4 A

Doc 20
0.1348
-25.0000
3.0000
0.2610
testing/wikipedia/v3/25830.html
[ φ ( x ) ] = - 1 4 F μ ν F μ ν + 1 2 m 2 A μ A μ + A μ J μ
= 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 21
0.1348
-25.0000
1.0000
0.3198
testing/wikipedia/v3/13397.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 )
= - 1 4 μ 0 F α β F α β - A α J free α + 1 2 F α β α β .
η α ν T ν β , β + F α β J β = 0 ,
Doc 22
0.1322
-38.0000
4.0000
0.2584
testing/wikipedia/v3/08123.html
= - 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 )
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 23
0.1261
-20.0000
2.0000
0.1261
testing/wikipedia/v3/09580.html
= - 1 2 μ 0 ( μ A ν μ A ν - ν A μ μ A ν ) .

Doc 24
0.1261
-21.0000
4.0000
0.1261
testing/wikipedia/v3/30083.html
S = m d τ ( 1 2 x ˙ μ x ˙ ν g μ ν + ( B μ + B ~ μ ) x ˙ μ ) .

Doc 25
0.1261
-21.0000
2.0000
0.1261
testing/wikipedia/v3/28456.html
= - 1 2 tr ( G α β G α β ) + ψ ¯ ( P μ + g s 𝒜 μ ) γ μ ψ

Doc 26
0.1261
-30.0000
3.0000
0.2007
testing/wikipedia/v3/00414.html
S = 1 4 F μ ν F μ ν = - 1 2 ( μ A ν μ A ν - μ A μ ν A ν ) .
S = 1 2 ( μ A ν μ A ν - λ ( μ A μ ) 2 )

Doc 27
0.1261
-34.0000
2.0000
0.3119
testing/wikipedia/v3/11236.html
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
h α β = g α β - u α u β
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 28
0.1188
-33.0000
4.0000
0.1188
testing/wikipedia/v3/25135.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 29
0.1099
-8.0000
2.0000
0.1099
testing/wikipedia/v3/27211.html
G μ ν = 8 π G c 4 T μ ν

Doc 30
0.1099
-8.0000
2.0000
0.1099
testing/wikipedia/v3/10177.html
G μ ν = 8 π G c 4 T μ ν

Doc 31
0.1099
-16.0000
4.0000
0.1099
testing/wikipedia/v3/10539.html
2 A = - μ 0 d d A ( p + B z 2 2 μ 0 )

Doc 32
0.0992
-3.0000
2.0000
0.1840
testing/wikipedia/v3/25725.html
α 2 ( μ A μ ) 2
( F μ ν ) 2 4 + μ 2 2 ( A μ ) 2

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
C - vertex = sec 2 ( A 2 ) : sec 2 ( B 2 ) : 0
csc 2 ( A 2 ) : csc 2 ( B 2 ) : csc 2 ( C 2 )
sec 2 ( A 2 ) : sec 2 ( B 2 ) : sec 2 ( C 2 )

Doc 34
0.0929
-8.0000
0.0000
0.0929
testing/wikipedia/v3/16167.html
8 π G c 4 T β α = G β α

Doc 35
0.0929
-9.0000
1.0000
0.1590
testing/wikipedia/v3/00612.html
η μ ν Λ α μ Λ β ν = η α β .
η μ ν Λ μ α Λ ν β = η α β

Doc 36
0.0929
-13.0000
1.0000
0.0929
testing/wikipedia/v3/04142.html
G μ ν + Λ g μ ν = 8 π G c 4 T μ ν

Doc 37
0.0929
-15.0000
2.0000
0.1858
testing/wikipedia/v3/11301.html
= 1 2 ( η μ ν γ μ γ ν + η ν μ γ μ γ ν )
= 1 2 tr ( γ μ γ ν + γ ν γ μ ) = 1 2 tr ( { γ μ , γ ν } )

Doc 38
0.0929
-17.0000
5.0000
0.0929
testing/wikipedia/v3/00927.html
T α S α = T α η α β S β = T α η α β S β = invariant scalar

Doc 39
0.0929
-18.0000
1.0000
0.0929
testing/wikipedia/v3/01984.html
R μ ν + ( Λ - R 2 ) g μ ν = 8 π G c 4 T μ ν

Doc 40
0.0929
-19.0000
4.0000
0.0929
testing/wikipedia/v3/03961.html
sin ( α ) ± sin ( β ) = 2 sin ( α ± β 2 ) cos ( α β 2 ) ,

Doc 41
0.0929
-20.0000
4.0000
0.1638
testing/wikipedia/v3/25749.html
ε α β = 1 2 ( u α , β + u β , α ) - x 3 w , α β .
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 42
0.0929
-20.0000
4.0000
0.0929
testing/wikipedia/v3/26535.html
ε α β = 1 2 ( u α , β + u β , α ) - x 3 w , α β .

Doc 43
0.0848
-7.0000
2.0000
0.1622
testing/wikipedia/v3/00566.html
g α β u α u β = - c 2
- c 2 = g α β u α u β = g t t ( u t ) 2 + g s s v 2 ( u t ) 2 .

Doc 44
0.0848
-10.0000
2.0000
0.0848
testing/wikipedia/v3/07419.html
G μ ν = 8 π G c 4 T μ ν .

Doc 45
0.0848
-11.0000
2.0000
0.0848
testing/wikipedia/v3/15664.html
G μ ν = 8 π G N c 4 T μ ν ,

Doc 46
0.0848
-13.0000
2.0000
0.1509
testing/wikipedia/v3/16730.html
T = u α γ μ α β ( x - x ) μ u ¯ β .
V = u α γ μ α β ρ μ u ¯ β .

Doc 47
0.0848
-26.0000
4.0000
0.0848
testing/wikipedia/v3/02956.html
excess kurtosis = 6 3 + ν ( ( 1 - 2 μ ) 2 ( 1 + ν ) μ ( 1 - μ ) ( 2 + ν ) - 1 )

Doc 48
0.0848
-30.0000
3.0000
0.0848
testing/wikipedia/v3/22036.html
t u + x [ u 2 2 + G 2 * ( b u 2 2 + ( 3 - b ) u x 2 2 ) ] = 0.

Doc 49
0.0709
-18.0000
1.0000
0.0709
testing/wikipedia/v3/25057.html
μ ( μ A ν - ν A μ ) + ( m c ) 2 A ν = 0

Doc 50
0.0661
-15.0000
2.0000
0.0661
testing/wikipedia/v3/13315.html
E c ( u ) = exp [ - 1 2 ( π λ δ ) 2 u 4 ] ,

Doc 51
0.0661
-26.0000
3.0000
0.0661
testing/wikipedia/v3/02374.html
= μ ϕ ( x ν ν ϕ + ϕ ) - x μ ( 1 2 ν ϕ ν ϕ - λ ϕ 4 ) .

Doc 52
0.0594
-12.0000
2.0000
0.0594
testing/wikipedia/v3/21706.html
σ 2 = ( α β ) 2 ( 1 + 5 α 2 4 )