Returned 93 matches (100 formulae, 96 docs)
    Lookup 808.691 ms, Re-ranking 1516.819 ms
    Found 1809339 tuple postings, 217664 formulae, 22677 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
0.9245
-16.0000
22.0000
1.3901
testing/wikipedia/v3/09833.html
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 )
p = v 2 ± v 4 - g ( g x 2 + 2 y v 2 ) g x
0 = - g x 2 2 v 2 p 2 + x p - g x 2 2 v 2 - y
Doc 2
0.4660
-55.0000
12.0000
0.4660
testing/wikipedia/v3/27191.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 3
0.4416
-34.0000
11.0000
0.4416
testing/wikipedia/v3/27176.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 4
0.4335
-3.0000
8.0000
1.5448
testing/wikipedia/v3/01801.html
x = - b ± b 2 - 4 a c 2 a
x = - b ± b 2 - 4 a c 2 a .
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
1 2 ( - p ± p 2 - 4 q )

Doc 5
0.4335
-3.0000
8.0000
0.8670
testing/wikipedia/v3/02397.html
x = - b ± b 2 - 4 a c 2 a
x = - b ± b 2 - 4 a c 2 a .

Doc 6
0.4335
-3.0000
8.0000
0.4335
testing/wikipedia/v3/01656.html
x = - b ± b 2 - 4 a c 2 a

Doc 7
0.4335
-3.0000
8.0000
0.4335
testing/wikipedia/v3/06457.html
x = - b ± b 2 - 4 a c 2 a

Doc 8
0.4335
-3.0000
8.0000
0.4335
testing/wikipedia/v3/30310.html
x = - b ± b 2 - 4 a c 2 a

Doc 9
0.4335
-3.0000
8.0000
0.4335
testing/wikipedia/v3/05695.html
x = - b ± b 2 - 4 a c 2 a

Doc 10
0.4335
-3.0000
8.0000
0.4335
testing/wikipedia/v3/07823.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 - 4 A C 2 A

Doc 12
0.4335
-3.0000
6.0000
0.4335
testing/wikipedia/v3/03326.html
x = - b ± b 2 - 3 a c 3 a

Doc 13
0.4335
-4.0000
8.0000
0.4335
testing/wikipedia/v3/00346.html
x = - b ± b 2 - 4 a c 2 a ,

Doc 14
0.4335
-4.0000
8.0000
0.4335
testing/wikipedia/v3/04341.html
x = - b ± b 2 - 4 a c 2 a .

Doc 15
0.4335
-4.0000
8.0000
0.4335
testing/wikipedia/v3/00855.html
x = - b ± b 2 - 4 a c 2 a .

Doc 16
0.4335
-4.0000
8.0000
0.4335
testing/wikipedia/v3/21998.html
x = - b ± b 2 - 4 a c 2 a ,

Doc 17
0.4335
-4.0000
8.0000
0.4335
testing/wikipedia/v3/02281.html
x = - b ± b 2 - 4 a c 2 a .

Doc 18
0.4335
-4.0000
8.0000
0.4335
testing/wikipedia/v3/00639.html
x = - b ± b 2 - 4 a c 2 a .

Doc 19
0.4335
-4.0000
8.0000
0.4335
testing/wikipedia/v3/13670.html
x = - b ± b 2 - 4 a c 2 a .

Doc 20
0.4335
-4.0000
8.0000
0.4335
testing/wikipedia/v3/08906.html
x = - b ± b 2 - 4 a c 2 a ,

Doc 21
0.4335
-4.0000
8.0000
0.4335
testing/wikipedia/v3/25774.html
x = - b ± b 2 - 4 a c 2 a .

Doc 22
0.4335
-29.0000
8.0000
0.4335
testing/wikipedia/v3/06529.html
x = - b ± b 2 - 4 a c 2 a = 1 ± ( - 1 ) 2 - 4 2 4 2 2 = 1 ± - 31 4

Doc 23
0.4028
-8.0000
8.0000
0.4028
testing/wikipedia/v3/15900.html
X o ( t ) = - A + A 2 + 4 ( B ) ( t + τ ) 2

Doc 24
0.4028
-34.0000
10.0000
0.4028
testing/wikipedia/v3/26075.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 25
0.3957
-16.0000
8.0000
0.3957
testing/wikipedia/v3/01739.html
x 1 , 2 = - b ± Δ 2 a = - b ± b 2 - 4 a c 2 a

Doc 26
0.3743
-11.0000
7.0000
0.7486
testing/wikipedia/v3/09341.html
a 2 = - b 1 + b 1 2 - 4 b 2 b 0 2 b 2 ,
a 1 = - b 1 - b 1 2 - 4 b 2 b 0 2 b 2 ,

Doc 27
0.3636
-35.0000
9.0000
0.3636
testing/wikipedia/v3/00901.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 28
0.3579
0.0000
7.0000
0.3579
testing/wikipedia/v3/12720.html
- α ± α 2 - 4 2

Doc 29
0.3579
-4.0000
7.0000
0.3579
testing/wikipedia/v3/03831.html
- b ± b 2 - 4 a c 2 a .

Doc 30
0.3579
-4.0000
7.0000
0.3579
testing/wikipedia/v3/03214.html
- b ± b 2 - 4 a c 2 a .

Doc 31
0.3118
-5.0000
7.0000
0.3118
testing/wikipedia/v3/12587.html
t = - 1 ± 1 + 8 ( D + Y ) 2

Doc 32
0.2979
-10.0000
6.0000
0.2979
testing/wikipedia/v3/13983.html
- a 1 + a 1 2 - 4 a 2 a 0 2 a 2

Doc 33
0.2979
-12.0000
4.0000
0.2979
testing/wikipedia/v3/00467.html
f ′′ ( x ) = ( q p ) ( q p - 1 ) x q p - 2

Doc 34
0.2821
-7.0000
4.0000
0.2821
testing/wikipedia/v3/12489.html
R i - ( 1 + i ) n ( R i - P )

Doc 35
0.2821
-8.0000
5.0000
0.2821
testing/wikipedia/v3/03930.html
x = 1 2 ( - p ± p 2 - 4 q ) .

Doc 36
0.2821
-13.0000
4.0000
0.2821
testing/wikipedia/v3/21772.html
Z P = b h 2 4 - ( b - 2 t ) ( h 2 - t ) 2

Doc 37
0.2595
-17.0000
4.0000
0.2595
testing/wikipedia/v3/25801.html
R d = r d 2 + 3 4 ( m e m d ) 2 ( λ C 2 π ) 2

Doc 38
0.2532
-25.0000
7.0000
0.2532
testing/wikipedia/v3/14164.html
d = - ( 𝐥 ( 𝐨 - 𝐜 ) ) ± ( 𝐥 ( 𝐨 - 𝐜 ) ) 2 - 𝐥 2 ( ( 𝐨 - 𝐜 ) 2 - r 2 ) 𝐥 2

Doc 39
0.2442
-26.0000
4.0000
0.2442
testing/wikipedia/v3/09042.html
2 Γ ( ν 2 ) ( - i τ 2 ν t 2 ) ν 4 K ν 2 ( - 2 i τ 2 ν t ) ,

Doc 40
0.2208
-5.0000
5.0000
0.2208
testing/wikipedia/v3/00983.html
x - y = ( x y - 1 ) y .

Doc 41
0.2208
-11.0000
4.0000
1.0602
testing/wikipedia/v3/00617.html
= - ( 1 3 ) ( 1 5 ) ( 2 7 ) ( 9 23 )
= - ( 1 3 ) ( 1 5 ) ( 2 7 ) ( 3 2 23 )
= ( 3 331 ) ( 5 331 ) ( 161 331 )
= ( 3 331 ) ( 5 331 ) ( 823 331 )
= ( 3 331 ) ( 5 331 ) ( 7 331 ) ( 23 331 )

Doc 42
0.2062
-2.0000
3.0000
0.4124
testing/wikipedia/v3/00687.html
( 1 y ) ( 1 x )
( 1 x ) ( 1 y )

Doc 43
0.2062
-6.0000
3.0000
0.2062
testing/wikipedia/v3/03760.html
( p + r 2 ) ( q + s 2 )

Doc 44
0.2062
-8.0000
3.0000
0.4124
testing/wikipedia/v3/02166.html
( a m n ) = ( a m ) ( a n )
( a b n ) = ( a n ) ( b n )

Doc 45
0.2062
-8.0000
3.0000
0.4124
testing/wikipedia/v3/06302.html
( a n m ) = ( a n ) ( a m )
( a b n ) = ( a n ) ( b n )

Doc 46
0.2062
-11.0000
4.0000
0.2062
testing/wikipedia/v3/02950.html
( v c ) 2 ( r r s - 1 ) = 1 2 .

Doc 47
0.2062
-11.0000
3.0000
0.4124
testing/wikipedia/v3/28112.html
( α 𝔭 ) n ( β 𝔭 ) n = ( α β 𝔭 ) n
( α 𝔞 ) n ( α 𝔟 ) n = ( α 𝔞 𝔟 ) n .

Doc 48
0.2062
-11.0000
3.0000
0.2062
testing/wikipedia/v3/14686.html
( α β π ) 3 = ( α π ) 3 ( β π ) 3

Doc 49
0.2062
-12.0000
3.0000
0.2062
testing/wikipedia/v3/09909.html
log ( G ( 1 2 + z ) G ( 1 2 - z ) ) =

Doc 50
0.2062
-14.0000
4.0000
0.2062
testing/wikipedia/v3/27298.html
D 1 = ( h 1 - 1 γ ) ( 1 h 1 - 1 h 2 )

Doc 51
0.1931
-6.0000
6.0000
0.1931
testing/wikipedia/v3/23188.html
z = - x H ( x ) 5 G ( x ) 5

Doc 52
0.1931
-7.0000
4.0000
0.1931
testing/wikipedia/v3/02153.html
Ω d = 2 π d 2 Γ ( d 2 )

Doc 53
0.1931
-8.0000
4.0000
0.1931
testing/wikipedia/v3/23676.html
λ = ρ π D 2 Γ ( D 2 + 1 )

Doc 54
0.1931
-9.0000
4.0000
0.3749
testing/wikipedia/v3/01197.html
S n - 1 = 2 π n 2 Γ ( n 2 )
V n = π n 2 Γ ( n 2 + 1 )

Doc 55
0.1931
-11.0000
4.0000
0.1931
testing/wikipedia/v3/09754.html
V n = π n 2 R n Γ ( n 2 + 1 ) .

Doc 56
0.1931
-16.0000
5.0000
0.1931
testing/wikipedia/v3/25445.html
ζ Ai ( 1 ) = - 3 - 2 / 3 Γ ( 2 3 ) Γ ( 4 3 ) .

Doc 57
0.1818
-11.0000
4.0000
0.1818
testing/wikipedia/v3/17877.html
P R H = ( n p 0 ) ( n p t )

Doc 58
0.1818
-11.0000
4.0000
0.1818
testing/wikipedia/v3/17328.html
μ λ = sin ( A + D λ 2 ) sin ( A 2 )

Doc 59
0.1818
-12.0000
3.0000
0.1818
testing/wikipedia/v3/14378.html
= 2 sin 2 ( α 2 ) 1 - 2 sin 2 ( α 2 )

Doc 60
0.1818
-13.0000
4.0000
0.1818
testing/wikipedia/v3/05778.html
Z ( ω ) = - j ( 1 C ) ( ω ω 2 - ω 0 2 )

Doc 61
0.1818
-13.0000
4.0000
0.1818
testing/wikipedia/v3/06533.html
X i ^ = λ i N 0 2 ( N 0 2 + λ i )

Doc 62
0.1818
-13.0000
4.0000
0.1818
testing/wikipedia/v3/24772.html
- x 3 ( x 2 - 11 ) ( x 2 - 3 ) ( x 2 - 2 ) 2

Doc 63
0.1818
-24.0000
4.0000
0.1818
testing/wikipedia/v3/26859.html
β ^ = Γ ( n - 1 2 ) Γ ( n - 2 2 ) 2 n - 1 D ¯ s D .

Doc 64
0.1681
-10.0000
3.0000
0.1681
testing/wikipedia/v3/06999.html
- ( T V ) P ( S P ) V

Doc 65
0.1681
-11.0000
3.0000
0.6723
testing/wikipedia/v3/04601.html
( z x ) y ( x z ) y = 1.
( x y ) z ( y z ) x ( z x ) y = - 1.
( z x ) y ( x y ) z = - ( z y ) x .
( 8 )    ( z y ) x = - ( z x ) y ( x y ) z

Doc 66
0.1681
-18.0000
3.0000
0.5042
testing/wikipedia/v3/14685.html
( z x ) y = - ( z y ) x ( y x ) z
( x y ) z ( y z ) x ( z x ) y = - 1.
( x y ) z ( y z ) x ( z x ) y = - 1
Doc 67
0.1681
-19.0000
3.0000
0.1681
testing/wikipedia/v3/24692.html
( x y ) z ( y z ) x ( z x ) y = - 1.

Doc 68
0.1681
-21.0000
3.0000
0.1681
testing/wikipedia/v3/27724.html
| x - 1 2 ( a c + b d ) | = 1 2 ( b d - a c )

Doc 69
0.1681
-21.0000
3.0000
0.1681
testing/wikipedia/v3/10974.html
= - - 2 α ( 2 π ) d / 2 ( d 2 ) ! ( 1 2 F ) d / 2 ,

Doc 70
0.1597
-10.0000
4.0000
0.1597
testing/wikipedia/v3/13164.html
- ( x - 1 ) ( x + 1 ) 2 ( x 2 - x - 4 )

Doc 71
0.1597
-11.0000
4.0000
0.1597
testing/wikipedia/v3/15296.html
z 1 - ( 1 4 x ) 2 - ( 1 2 y ) 2

Doc 72
0.1519
-8.0000
5.0000
0.1519
testing/wikipedia/v3/12080.html
x 2 - y 2 = ( x - y ) ( x + y )

Doc 73
0.1519
-8.0000
5.0000
0.1519
testing/wikipedia/v3/14476.html
x 2 - y 2 = ( x - y ) ( x + y )

Doc 74
0.1519
-8.0000
4.0000
0.1519
testing/wikipedia/v3/26584.html
b sin θ = r sin ( π - θ 2 )

Doc 75
0.1519
-17.0000
4.0000
0.1519
testing/wikipedia/v3/00018.html
n - 1 n ( x n - x ¯ n - 1 ) ( y n - y ¯ n - 1 )

Doc 76
0.1519
-19.0000
4.0000
0.1519
testing/wikipedia/v3/12246.html
f ( x ) = 2 β α 2 Γ ( α 2 ) x α - 1 exp ( - β x 2 )

Doc 77
0.1519
-20.0000
4.0000
0.1519
testing/wikipedia/v3/10770.html
r x y = x y ¯ - x ¯ y ¯ ( x 2 ¯ - x ¯ 2 ) ( y 2 ¯ - y ¯ 2 )

Doc 78
0.1519
-20.0000
3.0000
0.1519
testing/wikipedia/v3/09141.html
w = i ( x i - x ¯ ) ( d i - d ¯ ) i ( x i - x ¯ ) 2

Doc 79
0.1519
-22.0000
5.0000
0.1519
testing/wikipedia/v3/09559.html
f ( x ; k ) = 2 1 - k 2 x k - 1 e - x 2 2 Γ ( k 2 )

Doc 80
0.1519
-24.0000
4.0000
0.3038
testing/wikipedia/v3/02275.html
2 π ε l arcosh ( d a ) = 2 π ε l ln ( d a + d 2 a 2 - 1 )
π ε l arcosh ( d 2 a ) = π ε l ln ( d 2 a + d 2 4 a 2 - 1 )

Doc 81
0.1519
-26.0000
4.0000
0.1519
testing/wikipedia/v3/25586.html
2 V i j x i y j = - γ s i j 2 ( x j - x i ) ( y j - y i )

Doc 82
0.1422
-10.0000
4.0000
0.1422
testing/wikipedia/v3/04899.html
φ ( e - π ) = π 4 Γ ( 3 4 )

Doc 83
0.1422
-12.0000
4.0000
0.1422
testing/wikipedia/v3/26640.html
r = w h = tan ( H 2 ) tan ( V 2 )

Doc 84
0.1422
-14.0000
4.0000
0.2844
testing/wikipedia/v3/23921.html
a + b c = cos ( α - β 2 ) sin ( γ 2 )
a - b c = sin ( α - β 2 ) cos ( γ 2 ) .

Doc 85
0.1422
-14.0000
3.0000
0.1422
testing/wikipedia/v3/03420.html
d y d x = - 4 x 3 4 y = - x 3 y

Doc 86
0.1422
-18.0000
3.0000
0.1422
testing/wikipedia/v3/04432.html
λ = 1 2 ( - b m ± b 2 m 2 - 4 ω 0 2 ) .

Doc 87
0.1422
-21.0000
3.0000
0.1422
testing/wikipedia/v3/24774.html
- ( x - 1 ) 2 x 2 ( x + 2 ) 3 ( x 2 - 3 ) ( x 2 - 4 x - 9 )

Doc 88
0.1422
-23.0000
4.0000
0.2719
testing/wikipedia/v3/13099.html
d d x ( 1 x 3 + 4 x ) = - 3 x 2 - 4 ( x 3 + 4 x ) 2 .
d d x ( 1 g ( x ) ) = - g ( x ) ( g ( x ) ) 2

Doc 89
0.1297
-11.0000
2.0000
0.1297
testing/wikipedia/v3/14900.html
sin 2 ( x 2 ) = 1 - cos ( x ) 2 .

Doc 90
0.1297
-13.0000
3.0000
0.1297
testing/wikipedia/v3/22495.html
tanh - 1 x = 1 2 ln ( 1 + x 1 - x )

Doc 91
0.1297
-17.0000
2.0000
0.1297
testing/wikipedia/v3/11963.html
ν 2 Γ ( ν + 2 2 ) Γ ( ν + 3 2 ) μ ;

Doc 92
0.1297
-22.0000
2.0000
0.1297
testing/wikipedia/v3/05794.html
( x i + x j 2 ) 2 - x i x j = ( x i - x j 2 ) 2 > 0.

Doc 93
0.1297
-26.0000
3.0000
0.1297
testing/wikipedia/v3/00025.html
π x 2 6 - 3 x 2 - ( x 2 ) 2 2 + x 2 - ( x 2 ) 2 2

Doc 94
0.1297
-28.0000
2.0000
0.1297
testing/wikipedia/v3/13029.html
Γ ( 1 20 ) Γ ( 9 20 ) Γ ( 3 20 ) Γ ( 7 20 ) = 5 4 ( 1 + 5 ) 2

Doc 95
0.1087
-12.0000
4.0000
0.1087
testing/wikipedia/v3/14592.html
x 2 - x k 2 = ( x - x k ) ( x + x k )

Doc 96
0.1013
-12.0000
3.0000
0.1013
testing/wikipedia/v3/27337.html
x = x - min ( x ) max ( x ) - min ( x )