Returned 95 matches (100 formulae, 97 docs)
    Lookup 155.879 ms, Re-ranking 1602.994 ms
    Found 632477 tuple postings, 150605 formulae, 20119 documents
[ formulas ] [ documents ] [ documents-by-formula ]

p = - x ± x 2 - 4 ( - g x 2 2 v 2 ) ( - g x 2 2 v 2 - y ) 2 ( - g x 2 2 v 2 )
Doc 1
0.9245, -16.0000, 22.0000, 1.8558
testing/wikipedia/v3/09833.html
x = - b ± b 2 - 4 a c 2 a x = y 2 y 1 = - 1 2 ± 1 2 2 - 4 ( 1 2 ) ( - F r 1 2 ) 2 ( 1 2 ) = - 1 2 ± 1 4 + 2 F r 1 2 1
Doc 2
0.4660, -55.0000, 12.0000, 0.4660
testing/wikipedia/v3/27191.html
x = - 1 2 ± ( 1 / 2 ) 2 - 4 ( 1 / 2 ) ( F r 1 2 ) 2 ( 1 / 2 ) = - 1 2 ( 1 / 4 ) - 8 ( F r 1 2 ) .
Doc 3
0.4416, -34.0000, 11.0000, 0.4416
testing/wikipedia/v3/27176.html
x = - b ± b 2 - 4 a c 2 a
Doc 4
0.4335, -3.0000, 8.0000, 1.9191
testing/wikipedia/v3/01801.html
Doc 5
0.4335, -3.0000, 8.0000, 0.8670
testing/wikipedia/v3/02397.html
Doc 6
0.4335, -3.0000, 8.0000, 0.4335
testing/wikipedia/v3/01656.html
Doc 7
0.4335, -3.0000, 8.0000, 0.4335
testing/wikipedia/v3/30310.html
Doc 8
0.4335, -3.0000, 8.0000, 0.4335
testing/wikipedia/v3/05695.html
Doc 9
0.4335, -3.0000, 8.0000, 0.4335
testing/wikipedia/v3/07823.html
Doc 10
0.4335, -3.0000, 8.0000, 0.4335
testing/wikipedia/v3/06457.html
x = - B ± B 2 - 4 A C 2 A
Doc 11
0.4335, -3.0000, 8.0000, 0.4335
testing/wikipedia/v3/06805.html
x = - b ± b 2 - 3 a c 3 a
Doc 12
0.4335, -3.0000, 6.0000, 0.4335
testing/wikipedia/v3/03326.html
x = - b ± b 2 - 4 a c 2 a .
Doc 4
0.4335, -3.0000, 8.0000, 1.9191
testing/wikipedia/v3/01801.html
Doc 5
0.4335, -3.0000, 8.0000, 0.8670
testing/wikipedia/v3/02397.html
Doc 14
0.4335, -4.0000, 8.0000, 0.5632
testing/wikipedia/v3/00855.html
Doc 15
0.4335, -4.0000, 8.0000, 0.4335
testing/wikipedia/v3/02281.html
Doc 16
0.4335, -4.0000, 8.0000, 0.4335
testing/wikipedia/v3/04341.html
Doc 17
0.4335, -4.0000, 8.0000, 0.4335
testing/wikipedia/v3/25774.html
Doc 19
0.4335, -4.0000, 8.0000, 0.4335
testing/wikipedia/v3/00639.html
Doc 21
0.4335, -4.0000, 8.0000, 0.4335
testing/wikipedia/v3/13670.html
x = - b ± b 2 - 4 a c 2 a ,
Doc 13
0.4335, -4.0000, 8.0000, 0.8078
testing/wikipedia/v3/00346.html
Doc 18
0.4335, -4.0000, 8.0000, 0.4335
testing/wikipedia/v3/21998.html
Doc 20
0.4335, -4.0000, 8.0000, 0.4335
testing/wikipedia/v3/08906.html
x = - b ± b 2 - 4 a c 2 a = 1 ± ( - 1 ) 2 - 4 2 4 2 2 = 1 ± - 31 4
Doc 22
0.4335, -29.0000, 8.0000, 0.4335
testing/wikipedia/v3/06529.html
X o ( t ) = - A + A 2 + 4 ( B ) ( t + τ ) 2
Doc 23
0.4028, -8.0000, 8.0000, 0.4028
testing/wikipedia/v3/15900.html
x = - 1 2 ± ( 1 / 2 ) 2 + 4 ( 1 / 2 ) ( F r 1 2 ) 2 ( 1 / 2 ) = - 1 2 ( 1 / 4 ) + 2 ( F r 1 2 )
Doc 24
0.4028, -34.0000, 10.0000, 0.4028
testing/wikipedia/v3/26075.html
x 1 , 2 = - b ± Δ 2 a = - b ± b 2 - 4 a c 2 a
Doc 25
0.3957, -16.0000, 8.0000, 0.3957
testing/wikipedia/v3/01739.html
x = ( r 1 + r 2 ) + ( r 1 - r 2 ) 2 = - b a ± b 2 - 4 a c a 2 = - b ± b 2 - 4 a c 2 a
Doc 4
0.4335, -3.0000, 8.0000, 1.9191
testing/wikipedia/v3/01801.html
a 2 = - b 1 + b 1 2 - 4 b 2 b 0 2 b 2 ,
Doc 26
0.3743, -11.0000, 7.0000, 0.7486
testing/wikipedia/v3/09341.html
a 1 = - b 1 - b 1 2 - 4 b 2 b 0 2 b 2 ,
Doc 26
0.3743, -11.0000, 7.0000, 0.7486
testing/wikipedia/v3/09341.html
x = - b + b 2 - 4 a c 2 a and x = - b - b 2 - 4 a c 2 a
Doc 4
0.4335, -3.0000, 8.0000, 1.9191
testing/wikipedia/v3/01801.html
Doc 13
0.4335, -4.0000, 8.0000, 0.8078
testing/wikipedia/v3/00346.html
t = - ( 2 𝐯 𝐝 ) ± ( 2 𝐯 𝐝 ) 2 - 4 ( 𝐯 2 - r 2 ) 2 = - ( 𝐯 𝐝 ) ± ( 𝐯 𝐝 ) 2 - ( 𝐯 2 - r 2 ) .
Doc 27
0.3636, -35.0000, 9.0000, 0.3636
testing/wikipedia/v3/00901.html
- α ± α 2 - 4 2
Doc 28
0.3579, 0.0000, 7.0000, 0.3579
testing/wikipedia/v3/12720.html
- b ± b 2 - 4 a c 2 a .
Doc 29
0.3579, -4.0000, 7.0000, 0.3579
testing/wikipedia/v3/03831.html
Doc 30
0.3579, -4.0000, 7.0000, 0.3579
testing/wikipedia/v3/03214.html
t = - 1 ± 1 + 8 ( D + Y ) 2
Doc 31
0.3118, -5.0000, 7.0000, 0.3118
testing/wikipedia/v3/12587.html
f ′′ ( x ) = ( q p ) ( q p - 1 ) x q p - 2
Doc 32
0.2979, -12.0000, 4.0000, 0.2979
testing/wikipedia/v3/00467.html
τ m = 1 8 [ - A ± A 2 + 4 ( A σ m + B 2 ) ]
Doc 33
0.2979, -13.0000, 5.0000, 0.2979
testing/wikipedia/v3/25698.html
1 2 ( - p ± p 2 - 4 q )
Doc 4
0.4335, -3.0000, 8.0000, 1.9191
testing/wikipedia/v3/01801.html
R i - ( 1 + i ) n ( R i - P )
Doc 34
0.2821, -7.0000, 4.0000, 0.2821
testing/wikipedia/v3/12489.html
x = 1 2 ( - p ± p 2 - 4 q ) .
Doc 35
0.2821, -8.0000, 5.0000, 0.2821
testing/wikipedia/v3/03930.html
Z P = b h 2 4 - ( b - 2 t ) ( h 2 - t ) 2
Doc 36
0.2821, -13.0000, 4.0000, 0.2821
testing/wikipedia/v3/21772.html
p = v 2 ± v 4 - g ( g x 2 + 2 y v 2 ) g x
Doc 1
0.9245, -16.0000, 22.0000, 1.8558
testing/wikipedia/v3/09833.html
p 11 = 1 + ( p 1 + p 1 ) ( R - 1 ) - S 2 ( R - 1 )
Doc 37
0.2595, -17.0000, 6.0000, 0.2595
testing/wikipedia/v3/04612.html
θ = tan - 1 ( v 2 ± v 4 - g ( g x 2 + 2 y v 2 ) g x )
Doc 1
0.9245, -16.0000, 22.0000, 1.8558
testing/wikipedia/v3/09833.html
k n = k z 2 - 4 π ( ρ n - ρ 0 )
Doc 38
0.2532, -7.0000, 5.0000, 0.2532
testing/wikipedia/v3/22340.html
d = - ( 𝐥 ( 𝐨 - 𝐜 ) ) ± ( 𝐥 ( 𝐨 - 𝐜 ) ) 2 - 𝐥 2 ( ( 𝐨 - 𝐜 ) 2 - r 2 ) 𝐥 2
Doc 39
0.2532, -25.0000, 7.0000, 0.2532
testing/wikipedia/v3/14164.html
U ( c - G ( l ) ) ( d c d l - G ( l ) ) = 0
Doc 40
0.2442, -14.0000, 4.0000, 0.2442
testing/wikipedia/v3/22073.html
2 Γ ( ν 2 ) ( - i τ 2 ν t 2 ) ν 4 K ν 2 ( - 2 i τ 2 ν t ) ,
Doc 41
0.2442, -26.0000, 4.0000, 0.2442
testing/wikipedia/v3/09042.html
x - y = ( x y - 1 ) y .
Doc 42
0.2208, -5.0000, 5.0000, 0.2208
testing/wikipedia/v3/00983.html
= - ( 1 3 ) ( 1 5 ) ( 2 7 ) ( 9 23 )
Doc 43
0.2208, -11.0000, 4.0000, 1.0602
testing/wikipedia/v3/00617.html
= - ( 1 3 ) ( 1 5 ) ( 2 7 ) ( 3 2 23 )
Doc 43
0.2208, -11.0000, 4.0000, 1.0602
testing/wikipedia/v3/00617.html
- T ( p V ) T ( V T ) p 2 = - T ( - p V ) ( R 2 p 2 ) = R
Doc 44
0.2208, -26.0000, 4.0000, 0.4026
testing/wikipedia/v3/02828.html
( p + r 2 ) ( q + s 2 )
Doc 45
0.2062, -6.0000, 3.0000, 0.2062
testing/wikipedia/v3/03760.html
= ( 3 331 ) ( 5 331 ) ( 823 331 )
Doc 43
0.2208, -11.0000, 4.0000, 1.0602
testing/wikipedia/v3/00617.html
= ( 3 331 ) ( 5 331 ) ( 161 331 )
Doc 43
0.2208, -11.0000, 4.0000, 1.0602
testing/wikipedia/v3/00617.html
( a n m ) = ( a n ) ( a m )
Doc 47
0.2062, -8.0000, 3.0000, 0.4124
testing/wikipedia/v3/06302.html
( a m n ) = ( a m ) ( a n )
Doc 46
0.2062, -8.0000, 3.0000, 0.4124
testing/wikipedia/v3/02166.html
( a b n ) = ( a n ) ( b n )
Doc 46
0.2062, -8.0000, 3.0000, 0.4124
testing/wikipedia/v3/02166.html
Doc 47
0.2062, -8.0000, 3.0000, 0.4124
testing/wikipedia/v3/06302.html
( a b p ) = ( a p ) ( b p ) .
Doc 43
0.2208, -11.0000, 4.0000, 1.0602
testing/wikipedia/v3/00617.html
( v c ) 2 ( r r s - 1 ) = 1 2 .
Doc 48
0.2062, -11.0000, 4.0000, 0.2062
testing/wikipedia/v3/02950.html
( α 𝔭 ) n ( β 𝔭 ) n = ( α β 𝔭 ) n
Doc 50
0.2062, -11.0000, 3.0000, 0.2062
testing/wikipedia/v3/28112.html
( p q ) 4 ( q p ) 4 = ( 2 q ) s .
Doc 49
0.2062, -11.0000, 3.0000, 0.4124
testing/wikipedia/v3/23225.html
( α β π ) 3 = ( α π ) 3 ( β π ) 3
Doc 51
0.2062, -11.0000, 3.0000, 0.2062
testing/wikipedia/v3/14686.html
log ( G ( 1 2 + z ) G ( 1 2 - z ) ) =
Doc 52
0.2062, -12.0000, 3.0000, 0.2062
testing/wikipedia/v3/09909.html
( p q ) 4 ( q p ) 4 = ( - 1 ) f g 2 ( - 1 e ) .
Doc 49
0.2062, -11.0000, 3.0000, 0.4124
testing/wikipedia/v3/23225.html
0 = - g x 2 2 v 2 p 2 + x p - g x 2 2 v 2 - y
Doc 1
0.9245, -16.0000, 22.0000, 1.8558
testing/wikipedia/v3/09833.html
0 = - g x 2 2 v 2 tan 2 θ + x tan θ - g x 2 2 v 2 - y
Doc 1
0.9245, -16.0000, 22.0000, 1.8558
testing/wikipedia/v3/09833.html
z = - x H ( x ) 5 G ( x ) 5
Doc 53
0.1931, -6.0000, 6.0000, 0.1931
testing/wikipedia/v3/23188.html
Ω d = 2 π d 2 Γ ( d 2 )
Doc 54
0.1931, -7.0000, 4.0000, 0.1931
testing/wikipedia/v3/02153.html
λ = ρ π D 2 Γ ( D 2 + 1 )
Doc 55
0.1931, -8.0000, 4.0000, 0.1931
testing/wikipedia/v3/23676.html
S n - 1 = 2 π n 2 Γ ( n 2 )
Doc 56
0.1931, -9.0000, 4.0000, 0.3749
testing/wikipedia/v3/01197.html
T = a + b 2 ( h a - 1 + h b - 1 ) ,
Doc 57
0.1931, -11.0000, 5.0000, 0.1931
testing/wikipedia/v3/01032.html
ζ Ai ( 1 ) = - 3 - 2 / 3 Γ ( 2 3 ) Γ ( 4 3 ) .
Doc 58
0.1931, -16.0000, 5.0000, 0.1931
testing/wikipedia/v3/25445.html
V n = π n 2 Γ ( n 2 + 1 )
Doc 56
0.1931, -9.0000, 4.0000, 0.3749
testing/wikipedia/v3/01197.html
e - i k ( x - j d ) 2 2 z 1
Doc 59
0.1818, -10.0000, 5.0000, 0.1818
testing/wikipedia/v3/16497.html
- π a sin ( ν 2 4 a - π 4 )
Doc 60
0.1818, -10.0000, 4.0000, 0.1818
testing/wikipedia/v3/01655.html
μ λ = sin ( A + D λ 2 ) sin ( A 2 )
Doc 62
0.1818, -11.0000, 4.0000, 0.1818
testing/wikipedia/v3/17328.html
P R H = ( n p 0 ) ( n p t )
Doc 61
0.1818, -11.0000, 4.0000, 0.1818
testing/wikipedia/v3/17877.html
= 2 sin 2 ( α 2 ) 1 - 2 sin 2 ( α 2 )
Doc 63
0.1818, -12.0000, 3.0000, 0.1818
testing/wikipedia/v3/14378.html
x ( t ) = 2 ( t a - 1 2 + t a )
Doc 64
0.1818, -13.0000, 4.0000, 0.1818
testing/wikipedia/v3/01650.html
Z ( ω ) = - j ( 1 C ) ( ω ω 2 - ω 0 2 )
Doc 66
0.1818, -13.0000, 4.0000, 0.1818
testing/wikipedia/v3/05778.html
- x 3 ( x 2 - 11 ) ( x 2 - 3 ) ( x 2 - 2 ) 2
Doc 65
0.1818, -13.0000, 4.0000, 0.1818
testing/wikipedia/v3/24772.html
C p - C V = - T ( p V ) T ( V T ) p 2
Doc 44
0.2208, -26.0000, 4.0000, 0.4026
testing/wikipedia/v3/02828.html
η = 9 μ ( 2 μ + 1 ) ( μ + 2 ) - 2 ( a b ) 3 ( μ - 1 ) 2
Doc 67
0.1818, -20.0000, 4.0000, 0.1818
testing/wikipedia/v3/08817.html
- ( T V ) P ( S P ) V
Doc 68
0.1681, -10.0000, 3.0000, 0.1681
testing/wikipedia/v3/06999.html
( z x ) y ( x z ) y = 1.
Doc 69
0.1681, -11.0000, 3.0000, 0.1681
testing/wikipedia/v3/04601.html
( z x ) y = - ( z y ) x ( y x ) z
Doc 70
0.1681, -18.0000, 3.0000, 0.1681
testing/wikipedia/v3/14685.html
= - - 2 α ( 2 π ) d / 2 ( d 2 ) ! ( 1 2 F ) d / 2 ,
Doc 72
0.1681, -21.0000, 3.0000, 0.1681
testing/wikipedia/v3/10974.html
| x - 1 2 ( a c + b d ) | = 1 2 ( b d - a c )
Doc 71
0.1681, -21.0000, 3.0000, 0.1681
testing/wikipedia/v3/27724.html
- ( x - 1 ) ( x + 1 ) 2 ( x 2 - x - 4 )
Doc 73
0.1597, -10.0000, 4.0000, 0.1597
testing/wikipedia/v3/13164.html
z 1 - ( 1 4 x ) 2 - ( 1 2 y ) 2
Doc 74
0.1597, -11.0000, 4.0000, 0.1597
testing/wikipedia/v3/15296.html
x ( x + 1 ) ( x 2 - x - 4 )
Doc 75
0.1519, -6.0000, 3.0000, 0.1519
testing/wikipedia/v3/23468.html
x 2 - y 2 = ( x - y ) ( x + y )
Doc 76
0.1519, -8.0000, 5.0000, 0.1519
testing/wikipedia/v3/12080.html
Doc 77
0.1519, -8.0000, 5.0000, 0.1519
testing/wikipedia/v3/14476.html
b sin θ = r sin ( π - θ 2 )
Doc 78
0.1519, -8.0000, 4.0000, 0.1519
testing/wikipedia/v3/26584.html
x eq = - 1 k ( m g 2 + M g )
Doc 79
0.1519, -9.0000, 3.0000, 0.1519
testing/wikipedia/v3/23806.html
f ( x ) = 2 β α 2 Γ ( α 2 ) x α - 1 exp ( - β x 2 )
Doc 80
0.1519, -19.0000, 4.0000, 0.1519
testing/wikipedia/v3/12246.html
f ( x ; k ) = 2 1 - k 2 x k - 1 e - x 2 2 Γ ( k 2 )
Doc 81
0.1519, -22.0000, 5.0000, 0.1519
testing/wikipedia/v3/09559.html
π ε l arcosh ( d 2 a ) = π ε l ln ( d 2 a + d 2 4 a 2 - 1 )
Doc 82
0.1519, -25.0000, 4.0000, 0.1519
testing/wikipedia/v3/02275.html
2 V i j x i y j = - γ s i j 2 ( x j - x i ) ( y j - y i )
Doc 83
0.1519, -26.0000, 4.0000, 0.1519
testing/wikipedia/v3/25586.html
φ ( e - π ) = π 4 Γ ( 3 4 )
Doc 84
0.1422, -10.0000, 4.0000, 0.1422
testing/wikipedia/v3/04899.html
( x - 4 ) x 10 ( x + 4 ) ( x 2 - 6 ) 4
Doc 85
0.1422, -11.0000, 3.0000, 0.1422
testing/wikipedia/v3/24504.html
r = w h = tan ( H 2 ) tan ( V 2 )
Doc 86
0.1422, -12.0000, 4.0000, 0.1422
testing/wikipedia/v3/26640.html
a + b c = cos ( α - β 2 ) sin ( γ 2 )
Doc 87
0.1422, -14.0000, 4.0000, 0.2844
testing/wikipedia/v3/23921.html
a - b c = sin ( α - β 2 ) cos ( γ 2 ) .
Doc 87
0.1422, -14.0000, 4.0000, 0.2844
testing/wikipedia/v3/23921.html
λ = 1 2 ( - b m ± b 2 m 2 - 4 ω 0 2 ) .
Doc 88
0.1422, -18.0000, 3.0000, 0.1422
testing/wikipedia/v3/04432.html
- ( x - 1 ) 2 x 2 ( x + 2 ) 3 ( x 2 - 3 ) ( x 2 - 4 x - 9 )
Doc 89
0.1422, -21.0000, 3.0000, 0.1422
testing/wikipedia/v3/24774.html
G = n ( n - 1 ) ( n - 2 ) i = 1 n ( x i - x ¯ s ) 3
Doc 90
0.1422, -21.0000, 2.0000, 0.1422
testing/wikipedia/v3/00967.html
d d x ( 1 x 3 + 4 x ) = - 3 x 2 - 4 ( x 3 + 4 x ) 2 .
Doc 91
0.1422, -23.0000, 4.0000, 0.1422
testing/wikipedia/v3/13099.html
arctan x = i 2 ln ( i + x i - x )
Doc 92
0.1297, -11.0000, 3.0000, 0.1297
testing/wikipedia/v3/25136.html
x = - p 2 ± ( p 2 ) 2 - q
Doc 14
0.4335, -4.0000, 8.0000, 0.5632
testing/wikipedia/v3/00855.html
tanh - 1 x = 1 2 ln ( 1 + x 1 - x )
Doc 93
0.1297, -13.0000, 3.0000, 0.1297
testing/wikipedia/v3/22495.html
- x ( x 2 - x - 3 ) ( x 2 + x - 1 )
Doc 94
0.1143, -10.0000, 3.0000, 0.1143
testing/wikipedia/v3/24341.html
x 2 - x k 2 = ( x - x k ) ( x + x k )
Doc 95
0.1087, -12.0000, 4.0000, 0.1087
testing/wikipedia/v3/14592.html
p x y k = ( τ x y α ) ( η x y β ) y allowed y ( τ x y α ) ( η x y β )
Doc 96
0.1087, -26.0000, 4.0000, 0.1087
testing/wikipedia/v3/05714.html
x = x - min ( x ) max ( x ) - min ( x )
Doc 97
0.1013, -12.0000, 3.0000, 0.1013
testing/wikipedia/v3/27337.html