Returned 96 matches (100 formulae, 79 docs)
    Lookup 118.124 ms, Re-ranking 1497.530 ms
    Found 582319 tuple postings, 151008 formulae, 20150 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
0.9245
-16.0000
22.0000
2.1152
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
θ = arctan ( v 2 ± v 4 - g ( g x 2 + 2 y v 2 ) g x )
θ = tan - 1 ( 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
0 = - g x 2 2 v 2 tan 2 θ + x tan θ - g x 2 2 v 2 - y
Doc 2
0.4660
-55.0000
12.0000
0.6340
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
q 2 g ( 1 y 1 - 1 y 2 ) = 1 2 ( y 2 2 - y 1 2 )

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

Doc 5
0.2821
-7.0000
4.0000
0.2821
testing/wikipedia/v3/12489.html
R i - ( 1 + i ) n ( R i - P )

Doc 6
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 7
0.2595
-22.0000
4.0000
0.2595
testing/wikipedia/v3/26436.html
0 ϕ ( a x ) Φ ( b x ) d x = ( 2 π a ) - 1 ( π 2 - arctan ( b a ) )

Doc 8
0.2595
-26.0000
4.0000
0.2595
testing/wikipedia/v3/02322.html
z = 1 2 ( x 2 + y 2 ) ( 1 a 2 - 1 b 2 ) + x y ( 1 a 2 + 1 b 2 )

Doc 9
0.2442
-12.0000
4.0000
0.2442
testing/wikipedia/v3/00892.html
1 f = ( n - 1 ) ( 1 R 1 - 1 R 2 ) .

Doc 10
0.2442
-15.0000
4.0000
0.2442
testing/wikipedia/v3/02956.html
β ^ = ( 1 - x ¯ ) ( x ¯ ( 1 - x ¯ ) v ¯ - 1 ) ,

Doc 11
0.2208
-7.0000
3.0000
0.2208
testing/wikipedia/v3/22711.html
I R R = ( InvoicePrice PurchasePriceOfBond - 1 ) ( dayBase daysToDelivery )

Doc 12
0.2062
-3.0000
3.0000
0.2062
testing/wikipedia/v3/11554.html
Δ = 2 ( K N - p )

Doc 13
0.2062
-6.0000
3.0000
0.2062
testing/wikipedia/v3/03760.html
( p + r 2 ) ( q + s 2 )

Doc 14
0.2062
-7.0000
3.0000
0.8247
testing/wikipedia/v3/00617.html
= ( 3 331 ) ( 5 331 ) ( 161 331 )
= ( 3 331 ) ( 5 331 ) ( 823 331 )
( a b p ) = ( a p ) ( b p ) .
= ( 3 331 ) ( 5 331 ) ( 7 331 ) ( 23 331 )

Doc 15
0.2062
-7.0000
3.0000
0.2062
testing/wikipedia/v3/11626.html
( p - 1 2 ) ( q - 1 2 ) ,

Doc 16
0.2062
-7.0000
3.0000
0.2062
testing/wikipedia/v3/05323.html
concentration of cells in original mixture = ( number of cells counted ( proportion of chamber counted ) ( volume of chamber ) ) ( volume of sample dilution volume of original mixture in sample )

Doc 17
0.2062
-8.0000
3.0000
0.6186
testing/wikipedia/v3/02166.html
( a m n ) = ( a m ) ( a n )
( a b n ) = ( a n ) ( b n )
( 1001 9907 ) = ( 7 9907 ) ( 11 9907 ) ( 13 9907 ) .
Doc 18
0.2062
-8.0000
3.0000
0.4124
testing/wikipedia/v3/00980.html
( 0.2518  mol Cu 1 ) ( 2  mol Ag 1  mol Cu ) = 0.5036 mol Ag
( 0.5036  mol Ag 1 ) ( 107.87  g Ag 1  mol Ag ) = 54.32 g Ag

Doc 19
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 20
0.2062
-8.0000
3.0000
0.2062
testing/wikipedia/v3/04967.html
v max = 2 ( P atm ρ - g h B )

Doc 21
0.2062
-11.0000
4.0000
0.3359
testing/wikipedia/v3/02950.html
( v c ) 2 ( r r s - 1 ) = 1 2 .
r r s ( v c ) 2 ( 1 - r s r ) = 1 2

Doc 22
0.2062
-11.0000
3.0000
0.6186
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 .
( α 𝔞 ) n ( β 𝔞 ) n = ( α β 𝔞 ) n .
Doc 23
0.2062
-11.0000
3.0000
0.4124
testing/wikipedia/v3/23225.html
( p q ) 4 ( q p ) 4 = ( 2 q ) s .
( p q ) 4 ( q p ) 4 = ( - 1 ) f g 2 ( - 1 e ) .

Doc 24
0.2062
-11.0000
3.0000
0.2062
testing/wikipedia/v3/14686.html
( α β π ) 3 = ( α π ) 3 ( β π ) 3

Doc 25
0.2062
-12.0000
3.0000
0.2062
testing/wikipedia/v3/07259.html
( a n ) ( a i n ) = ( a a i n ) ,

Doc 26
0.2062
-12.0000
3.0000
0.2062
testing/wikipedia/v3/09909.html
log ( G ( 1 2 + z ) G ( 1 2 - z ) ) =

Doc 27
0.2062
-16.0000
3.0000
0.2062
testing/wikipedia/v3/27993.html
0.7 e - ( .1 ) ( 3 12 ) + 0.7 e - ( .1 ) ( 5 12 ) = 1.3541

Doc 28
0.2062
-18.0000
3.0000
0.2062
testing/wikipedia/v3/23915.html
x sinh a x = 1 2 csch ( a 2 ) cosh ( a 2 - a x ) + C

Doc 29
0.2062
-20.0000
3.0000
0.2062
testing/wikipedia/v3/27621.html
( t + V g ) ( - Φ p ) - σ ω = k J p

Doc 30
0.2062
-24.0000
3.0000
0.2062
testing/wikipedia/v3/28186.html
F ( ε ) = ε 2 0 1 ( 2 u - ln ( 1 u ) - 2 ) e - ε u d u

Doc 31
0.2062
-37.0000
2.0000
0.2062
testing/wikipedia/v3/25062.html
y 3 = ( x 1 2 + y 1 2 - 2 ( x 1 ) 2 - 4 ( y 1 2 - 1 ) y 1 2 + ( x 1 2 - y 1 2 ) 2 y 1 = 0

Doc 32
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 33
0.1818
-12.0000
3.0000
0.1818
testing/wikipedia/v3/21110.html
log ( a T ) = E a R ( 1 T - 1 T 0 )

Doc 34
0.1818
-13.0000
4.0000
0.3499
testing/wikipedia/v3/01650.html
x ( t ) = 2 ( t a - 1 2 + t a )
= 2 ( t a - floor ( 1 2 + t a ) )

Doc 35
0.1818
-21.0000
3.0000
0.1818
testing/wikipedia/v3/08386.html
( d u d φ ) 2 = 1 b 2 - ( 1 - u r s ) ( 1 a 2 + u 2 )

Doc 36
0.1818
-26.0000
4.0000
0.1818
testing/wikipedia/v3/01067.html
ϕ ( p ) = ( x 0 π ) 1 / 2 exp ( - x 0 2 ( p - p 0 ) 2 2 2 ) ,

Doc 37
0.1681
-9.0000
3.0000
0.3361
testing/wikipedia/v3/06999.html
( T P ) V ( S V ) P
- ( T V ) P ( S P ) V

Doc 38
0.1681
-11.0000
3.0000
0.3361
testing/wikipedia/v3/04601.html
( z x ) y ( x z ) y = 1.
( 8 )    ( z y ) x = - ( z x ) y ( x y ) z

Doc 39
0.1681
-13.0000
3.0000
0.1681
testing/wikipedia/v3/25135.html
( 1 ) ( 𝐱 𝐗 ) T ( 𝐱 𝐗 ) = 𝑪

Doc 40
0.1681
-15.0000
3.0000
0.1681
testing/wikipedia/v3/01651.html
x ( t ) = | 2 ( t a - t a + 1 2 ) |

Doc 41
0.1681
-17.0000
4.0000
0.1681
testing/wikipedia/v3/28067.html
W q ( H ) = λ ( 1 λ 2 + σ B 2 ) 2 ( 1 - ρ ) .

Doc 42
0.1681
-18.0000
3.0000
0.1681
testing/wikipedia/v3/14685.html
( z x ) y = - ( z y ) x ( y x ) z

Doc 43
0.1681
-20.0000
3.0000
0.1681
testing/wikipedia/v3/11687.html
M x = ( - x 4 2 + 4 x 3 3 - 20 x 2 + 80 x ) | 0 2

Doc 44
0.1681
-21.0000
3.0000
0.1681
testing/wikipedia/v3/26075.html
q 2 g ( 1 y 1 - 1 y 2 ) = 1 2 ( y z 2 - y 1 2 )

Doc 45
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 46
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 47
0.1681
-22.0000
3.0000
0.1681
testing/wikipedia/v3/05353.html
1 ( u + A ) ( u - A ) = 1 2 A ( 1 u - A - 1 u + A )

Doc 48
0.1681
-22.0000
3.0000
0.1681
testing/wikipedia/v3/23866.html
det ( z - L ( z ) ) = i = 0 n H i ( z ) ( z ) i .

Doc 49
0.1519
-20.0000
3.0000
0.1519
testing/wikipedia/v3/12330.html
f = v 2 ( L x ) 2 + ( m L y ) 2 + ( n L z ) 2

Doc 50
0.1422
-11.0000
3.0000
0.1422
testing/wikipedia/v3/17620.html
x = 3 λ 2 1 3 - ( ϕ π ) 2

Doc 51
0.1422
-12.0000
2.0000
0.1422
testing/wikipedia/v3/06533.html
S N ( f ) = N 0 2 ( 1 + ( w B ) 2 )

Doc 52
0.1422
-13.0000
3.0000
0.1422
testing/wikipedia/v3/00438.html
tan A = ( ( - z y ) ( z x ) )

Doc 53
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 54
0.1422
-18.0000
4.0000
0.1422
testing/wikipedia/v3/04191.html
( x 2 2 + y x ) d y = y x 2 2 + x y 2 2

Doc 55
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 56
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 57
0.1297
-7.0000
3.0000
0.1297
testing/wikipedia/v3/07059.html
1 2 ( x 2 - 4 x + 2 )

Doc 58
0.1297
-7.0000
2.0000
0.1297
testing/wikipedia/v3/19303.html
( p 1 - x ( 1 - p ) ) r

Doc 59
0.1297
-9.0000
2.0000
0.1297
testing/wikipedia/v3/09858.html
ψ 1 ( 3 2 ) = π 2 2 - 4

Doc 60
0.1297
-10.0000
3.0000
0.1297
testing/wikipedia/v3/00855.html
x = p 2 + ( p 2 ) 2 - q

Doc 61
0.1297
-12.0000
4.0000
0.1297
testing/wikipedia/v3/04272.html
f ( x ) = x 3 - 2 x 2 ( x 2 - 5 )

Doc 62
0.1297
-12.0000
2.0000
0.1297
testing/wikipedia/v3/02375.html
sin ( x 2 ) = ± 1 2 ( 1 - cos x )

Doc 63
0.1297
-13.0000
3.0000
0.1297
testing/wikipedia/v3/22312.html
ξ = 1 2 ( R I R - R R I ) sin β

Doc 64
0.1297
-14.0000
3.0000
0.1297
testing/wikipedia/v3/21706.html
X = 1 2 [ ( T β ) 0.5 - ( T β ) - 0.5 ]

Doc 65
0.1297
-14.0000
3.0000
0.1297
testing/wikipedia/v3/00547.html
η p = 2 ( v v e ) 1 + ( v v e ) 2

Doc 66
0.1297
-14.0000
3.0000
0.1297
testing/wikipedia/v3/27921.html
E ( z ) = exp [ - 4 ( ( z - z 0 ) I c ) 2 ]

Doc 67
0.1297
-14.0000
2.0000
0.1297
testing/wikipedia/v3/04615.html
Cl 2 ( π 4 ) - Cl 2 ( 3 π 4 ) = G 2

Doc 68
0.1297
-16.0000
2.0000
0.1297
testing/wikipedia/v3/08705.html
( J 0 3 f ) ( x ) = - x - x 2 2 - x 3 3

Doc 69
0.1297
-17.0000
3.0000
0.1297
testing/wikipedia/v3/10151.html
ω ± = ω c 2 ± ( ω c 2 ) 2 - ω t 2 2

Doc 70
0.1297
-17.0000
3.0000
0.1297
testing/wikipedia/v3/03370.html
f ( x ) = 1 + 2 ( 1 x + x x 2 - 4 x + 8 )

Doc 71
0.1297
-17.0000
3.0000
0.1297
testing/wikipedia/v3/23312.html
e = ( x 0 - x ) 2 + ( y 0 - y ) 2 2 a ( 17 )

Doc 72
0.1297
-18.0000
3.0000
0.1297
testing/wikipedia/v3/09114.html
y = R ( 2 ( x L ) - K ( x L ) 2 2 - K )

Doc 73
0.1297
-20.0000
3.0000
0.2310
testing/wikipedia/v3/24194.html
1 + 7 x + 12 x 2 - 4 x 3 ( 1 - x 2 ) ( 1 - 16 x 2 )
1 ( 1 - x ) ( 1 - 4 x )

Doc 74
0.1297
-20.0000
3.0000
0.1297
testing/wikipedia/v3/00449.html
1 +  2 ( 1 8 ) +  4 ( 1 8 ) 2 +  8 ( 1 8 ) 3 + .

Doc 75
0.1297
-21.0000
3.0000
0.1297
testing/wikipedia/v3/16091.html
ln ( p ( z 2 ) p ( z 1 ) ) = - g R T ¯ ( z 2 - z 1 )

Doc 76
0.1297
-22.0000
3.0000
0.1297
testing/wikipedia/v3/17742.html
Area = T +  2 ( T 8 ) +  4 ( T 8 2 ) +  8 ( T 8 3 ) + .

Doc 77
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 78
0.1297
-29.0000
3.0000
0.1297
testing/wikipedia/v3/08199.html
V = m 2 ( g L a x a 2 + g L b x b 2 + k m ( x b - x a ) 2 ) .

Doc 79
0.1013
-20.0000
3.0000
0.1013
testing/wikipedia/v3/25915.html
p = g z ( g x ) 2 + ( g y ) 2