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 ]

1.0000
0.0000
41.0000
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

1.0000
-3.0000
40.0000
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

0.7649
-3.0000
32.0000
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

0.4566
-9.0000
18.0000
R ´ α β = 8 π G c 4 ( A 2 T ´ α β + B 2 T ´ g α β )

0.4072
-28.0000
16.0000
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 ´

0.2447
-15.0000
7.0000
F = ( A 2 ϕ 2 + B 4 ϕ 4 + κ 2 ( ϕ ) 2 ) d x .

0.2198
-38.0000
5.0000
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 )

0.2118
-18.0000
4.0000
T α β = - 1 μ 0 ( F α F ψ ψ + β 1 4 g α β F ψ τ F ψ τ )

0.2038
-12.0000
7.0000
d 2 x ´ μ d τ 2 + R μ ´ α ν β u ´ α x ´ ν u ´ β = 0

0.1983
-34.0000
4.0000
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 ) .

0.1947
-13.0000
2.0000
R μ ν - 1 2 R g μ ν = 8 π G c 4 T μ ν ,

0.1947
-17.0000
2.0000
G μ ν R μ ν - 1 2 R g μ ν = 8 π G c 4 T μ ν .

0.1947
-17.0000
2.0000
R μ ν - 1 2 R g μ ν + Λ g μ ν = 8 π G c 4 T μ ν

0.1947
-18.0000
2.0000
R μ ν - 1 2 R g μ ν + Λ g μ ν = 8 π G c 4 T μ ν ,

0.1947
-19.0000
4.0000
R μ ν - g μ ν Λ = 8 π G c 4 ( T μ ν - 1 2 T g μ ν ) .

0.1858
-19.0000
5.0000
T μ ν = 1 μ 0 [ F μ α F α ν - 1 4 η μ ν F α β F α β ] .

0.1858
-57.0000
6.0000
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 ) +

0.1782
-9.0000
9.0000
T 00 u α ( A T α β + B T η α β ) u β

0.1782
-12.0000
7.0000
d u μ d τ + R μ α ν β u α x ν u β = 0

0.1696
-14.0000
2.0000
R μ ν - 1 2 g μ ν R = 8 π G c 4 T μ ν ,

0.1696
-29.0000
3.0000
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 ) ] ,

0.1597
-5.0000
6.0000
f μ f μ + u μ u ν f ν

0.1597
-5.0000
6.0000
R ´ = - 8 π G c 4 T ´

0.1597
-10.0000
6.0000
𝐟 = - 4 π G 3 c 4 ( M c 2 V ) 𝐫

0.1597
-40.0000
3.0000
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

0.1593
-34.0000
3.0000
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 .

0.1593
-56.0000
2.0000
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 )

0.1524
-18.0000
2.0000
R μ ν - 1 2 g μ ν R + Λ g μ ν = 8 π G c 4 T μ ν

0.1524
-19.0000
2.0000
R μ ν - 1 2 g μ ν R + Λ g μ ν = 8 π G c 4 T μ ν .

0.1457
-40.0000
4.0000
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

0.1443
-19.0000
2.0000
R μ ν - 1 2 g μ ν R + g μ ν Λ = 8 π G c 4 T μ ν

0.1443
-20.0000
2.0000
R μ ν - 1 2 g μ ν R + g μ ν Λ = 8 π G c 4 T μ ν .

0.1443
-21.0000
2.0000
R μ ν - 1 2 g μ ν R - g μ ν Λ = - 8 π G c 4 T μ ν .

0.1443
-27.0000
4.0000
= - 1 4 μ 0 F α β F α β - g + A α J free α + 1 2 F α β α β .

0.1443
-31.0000
2.0000
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 )

0.1443
-42.0000
3.0000
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 )

0.1374
-33.0000
4.0000
= - 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 .

0.1348
-9.0000
6.0000
R μ ´ α ν β u ´ α x ´ ν u ´ β = - f ´ μ

0.1348
-13.0000
5.0000
1 2 ( 2 A ) + 1 2 ( A 2 ) = 5 4 A

0.1348
-25.0000
3.0000
[ φ ( x ) ] = - 1 4 F μ ν F μ ν + 1 2 m 2 A μ A μ + A μ J μ

0.1348
-25.0000
1.0000
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 )

0.1322
-38.0000
4.0000
= - 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 )

0.1261
-13.0000
4.0000
T α β = ( ρ + p c 2 ) u α u β + p g α β

0.1261
-16.0000
2.0000
T μ ν = c 4 8 π G ( R μ ν - 1 2 g μ ν R ) .

0.1261
-18.0000
2.0000
D u ´ μ D τ = d u ´ μ d τ + Γ μ α β u ´ α u ´ β = 0

0.1261
-20.0000
2.0000
= - 1 2 μ 0 ( μ A ν μ A ν - ν A μ μ A ν ) .

0.1261
-21.0000
4.0000
S = m d τ ( 1 2 x ˙ μ x ˙ ν g μ ν + ( B μ + B ~ μ ) x ˙ μ ) .

0.1261
-21.0000
2.0000
= - 1 2 tr ( G α β G α β ) + ψ ¯ ( P μ + g s 𝒜 μ ) γ μ ψ

0.1261
-30.0000
3.0000
S = 1 4 F μ ν F μ ν = - 1 2 ( μ A ν μ A ν - μ A μ ν A ν ) .

0.1261
-34.0000
2.0000
= 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 ,

0.1261
-34.0000
2.0000
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

0.1261
-35.0000
1.0000
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 .

0.1261
-40.0000
4.0000
( - 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 -

0.1188
-13.0000
0.0000
G μ ν + g μ ν Λ = 8 π G c 4 T μ ν .

0.1188
-25.0000
1.0000
= - 1 4 μ 0 F α β F α β - A α J free α + 1 2 F α β α β .

0.1188
-33.0000
4.0000
Γ α β μ ( X ) = C μ γ 2 ( C α γ X β + C β γ X α - C α β X γ )

0.1188
-43.0000
2.0000
= ( 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 )

0.1188
-47.0000
3.0000
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

0.1099
-8.0000
2.0000
G μ ν = 8 π G c 4 T μ ν

0.1099
-9.0000
4.0000
𝒢 α β = 8 π G c 4 T ´ α β

0.1099
-16.0000
4.0000
2 A = - μ 0 d d A ( p + B z 2 2 μ 0 )

0.1099
-17.0000
2.0000
R μ ν = 8 π G c 4 ( T μ ν - 1 2 g μ ν T )

0.0992
-3.0000
2.0000
α 2 ( μ A μ ) 2

0.0992
-13.0000
5.0000
C - vertex = sec 2 ( A 2 ) : sec 2 ( B 2 ) : 0
C - vertex = csc 2 ( A 2 ) : csc 2 ( B 2 ) : 0

0.0929
-7.0000
2.0000
h α β = g α β - u α u β

0.0929
-8.0000
0.0000
8 π G c 4 T β α = G β α

0.0929
-9.0000
1.0000
η μ ν Λ α μ Λ β ν = η α β .

0.0929
-13.0000
1.0000
G μ ν + Λ g μ ν = 8 π G c 4 T μ ν

0.0929
-15.0000
4.0000
sec 2 ( A 2 ) : sec 2 ( B 2 ) : sec 2 ( C 2 )
csc 2 ( A 2 ) : csc 2 ( B 2 ) : csc 2 ( C 2 )

0.0929
-15.0000
2.0000
= 1 2 ( η μ ν γ μ γ ν + η ν μ γ μ γ ν )

0.0929
-17.0000
5.0000
T α S α = T α η α β S β = T α η α β S β = invariant scalar

0.0929
-18.0000
1.0000
R μ ν + ( Λ - R 2 ) g μ ν = 8 π G c 4 T μ ν

0.0929
-19.0000
4.0000
sin ( α ) ± sin ( β ) = 2 sin ( α ± β 2 ) cos ( α β 2 ) ,

0.0929
-20.0000
4.0000
ε α β = 1 2 ( u α , β + u β , α ) - x 3 w , α β .

0.0929
-21.0000
3.0000
= 1 2 tr ( γ μ γ ν + γ ν γ μ ) = 1 2 tr ( { γ μ , γ ν } )

0.0929
-22.0000
4.0000
T T α α = - u α u α T = - u α T η α β u β - T 00

0.0929
-30.0000
2.0000
Γ β μ ν = 1 2 ( g β ν x μ + g β μ x ν - g μ ν x β )

0.0929
-34.0000
3.0000
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 ,

0.0848
-7.0000
2.0000
g α β u α u β = - c 2

0.0848
-8.0000
2.0000
u α u β g α β = - c 2 .

0.0848
-10.0000
2.0000
G μ ν = 8 π G c 4 T μ ν .

0.0848
-11.0000
2.0000
G μ ν = 8 π G N c 4 T μ ν ,

0.0848
-12.0000
3.0000
( F μ ν ) 2 4 + μ 2 2 ( A μ ) 2

0.0848
-13.0000
2.0000
T = u α γ μ α β ( x - x ) μ u ¯ β .

0.0848
-14.0000
3.0000
R μ α ν β = 1 r 2 η α β δ μ ν

0.0848
-23.0000
2.0000
T = g α β T α β g 00 T 00 - 1 c 2 ρ c 4 = - ρ c 2

0.0848
-26.0000
4.0000
excess kurtosis = 6 3 + ν ( ( 1 - 2 μ ) 2 ( 1 + ν ) μ ( 1 - μ ) ( 2 + ν ) - 1 )

0.0848
-30.0000
3.0000
t u + x [ u 2 2 + G 2 * ( b u 2 2 + ( 3 - b ) u x 2 2 ) ] = 0.

0.0773
-23.0000
2.0000
- c 2 = g α β u α u β = g t t ( u t ) 2 + g s s v 2 ( u t ) 2 .

0.0745
-17.0000
2.0000
S = 1 2 ( μ A ν μ A ν - λ ( μ A μ ) 2 )

0.0709
-18.0000
1.0000
μ ( μ A ν - ν A μ ) + ( m c ) 2 A ν = 0

0.0709
-46.0000
1.0000
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

0.0661
-9.0000
3.0000
V = u α γ μ α β ρ μ u ¯ β .

0.0661
-11.0000
3.0000
η μ ν Λ μ α Λ ν β = η α β

0.0661
-13.0000
1.0000
η α ν T ν β , β + F α β J β = 0 ,

0.0661
-15.0000
2.0000
E c ( u ) = exp [ - 1 2 ( π λ δ ) 2 u 4 ] ,

0.0661
-26.0000
3.0000
= μ ϕ ( x ν ν ϕ + ϕ ) - x μ ( 1 2 ν ϕ ν ϕ - λ ϕ 4 ) .

0.0594
-12.0000
2.0000
σ 2 = ( α β ) 2 ( 1 + 5 α 2 4 )