Returned 94 matches (100 formulae, 77 docs)
    Lookup 110.093 ms, Re-ranking 2855.703 ms
    Found 462310 tuple postings, 111072 formulae, 18422 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
0.9245
-16.0000
22.0000
1.5963
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
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
0.2979
-12.0000
4.0000
0.2979
testing/wikipedia/v3/00467.html
f ′′ ( x ) = ( q p ) ( q p - 1 ) x q p - 2

Doc 4
0.2821
-7.0000
4.0000
0.2821
testing/wikipedia/v3/12489.html
R i - ( 1 + i ) n ( R i - P )

Doc 5
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 6
0.2595
-26.0000
4.0000
0.3892
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 )
z = x 2 - y 2 2 .

Doc 7
0.2442
-15.0000
4.0000
0.2442
testing/wikipedia/v3/02956.html
β ^ = ( 1 - x ¯ ) ( x ¯ ( 1 - x ¯ ) v ¯ - 1 ) ,

Doc 8
0.2062
-7.0000
3.0000
0.6186
testing/wikipedia/v3/00617.html
= ( 3 331 ) ( 5 331 ) ( 161 331 )
= ( 3 331 ) ( 5 331 ) ( 823 331 )
( a b p ) = ( a p ) ( b p ) .
Doc 9
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 10
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 11
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 12
0.1818
-9.0000
3.0000
0.1818
testing/wikipedia/v3/02868.html
ϕ 1 ( v ) = ( 1 ) ( 1 6 ) = 1 6

Doc 13
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 14
0.1681
-5.0000
2.0000
0.1681
testing/wikipedia/v3/23526.html
f ( y ) = 1 y 2 - x

Doc 15
0.1681
-7.0000
3.0000
0.5042
testing/wikipedia/v3/04392.html
cos ( arccsc x ) = x 2 - 1 x
sin ( arcsec x ) = x 2 - 1 x
tan ( arccsc x ) = 1 x 2 - 1
Doc 16
0.1681
-7.0000
3.0000
0.3361
testing/wikipedia/v3/16716.html
( arcosh x ) = 1 x 2 - 1
( arcsec x ) = 1 | x | x 2 - 1

Doc 17
0.1681
-10.0000
4.0000
0.1681
testing/wikipedia/v3/01801.html
r 1 2 = - p 2 = - b 2 a

Doc 18
0.1681
-11.0000
3.0000
0.1681
testing/wikipedia/v3/06756.html
h ( t ) = 1 2 j ψ ( - t 2 j )

Doc 19
0.1681
-15.0000
3.0000
0.1681
testing/wikipedia/v3/01651.html
x ( t ) = | 2 ( t a - t a + 1 2 ) |

Doc 20
0.1681
-16.0000
2.0000
0.1681
testing/wikipedia/v3/25151.html
l n ( 1 - x ) = - x - x 2 2 - x 3 3 -

Doc 21
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 22
0.1681
-21.0000
3.0000
0.2978
testing/wikipedia/v3/27724.html
| x - 1 2 ( a c + b d ) | = 1 2 ( b d - a c )
2 3 ( 1 + x ) 3 p ( 3 2 + 2 x 1 + x ) = 8 x 3 + 4 x 2 - 4 x - 1

Doc 23
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 24
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 25
0.1681
-22.0000
3.0000
0.1681
testing/wikipedia/v3/27176.html
q 2 g ( 1 y 1 - 1 y 2 ) = 1 2 ( y z 2 - y 1 2 ) .

Doc 26
0.1681
-28.0000
2.0000
0.1681
testing/wikipedia/v3/23806.html
= 1 2 m 3 x ˙ 2 + 1 2 M v 2 - 1 2 k x 2 - m g x 2 - M g x

Doc 27
0.1681
-29.0000
3.0000
0.2978
testing/wikipedia/v3/09923.html
E I d 4 w d x 4 - 3 2 E A ( d w d x ) 2 ( d 2 w d x 2 ) = q ( x )
w = F 6 E I ( 3 L x 2 - x 3 ) .

Doc 28
0.1519
-19.0000
4.0000
0.1519
testing/wikipedia/v3/17362.html
s x y = 1 N n = 1 N ( x n - x ¯ ) ( y n - y ¯ ) .

Doc 29
0.1519
-20.0000
4.0000
0.1519
testing/wikipedia/v3/00018.html
Cov ( X , Y ) = i = 1 n ( x i - x ¯ ) ( y i - y ¯ ) n .

Doc 30
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 31
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 32
0.1422
-5.0000
3.0000
0.2434
testing/wikipedia/v3/25162.html
( x 3 - y 2 N ) = 1
m = x 3 - y 2 x ( mod N )

Doc 33
0.1422
-11.0000
3.0000
0.1422
testing/wikipedia/v3/25332.html
f ( x ) = 1 π ( x - a ) ( b - x )

Doc 34
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 35
0.1422
-16.0000
3.0000
0.1422
testing/wikipedia/v3/07434.html
P 4 2 ( x ) = 15 2 ( 7 x 2 - 1 ) ( 1 - x 2 )

Doc 36
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 37
0.1422
-21.0000
2.0000
0.1422
testing/wikipedia/v3/00967.html
G = n ( n - 1 ) ( n - 2 ) i = 1 n ( x i - x ¯ s ) 3

Doc 38
0.1422
-22.0000
4.0000
0.1422
testing/wikipedia/v3/22368.html
q x y = ( x - x ¯ ) ( y - y ¯ ) I ( x , y ) I ( x , y )

Doc 39
0.1422
-22.0000
2.0000
0.1422
testing/wikipedia/v3/00697.html
F ( x ) = Φ ( x - μ σ ) = 1 2 [ 1 + erf ( x - μ σ 2 ) ]

Doc 40
0.1422
-23.0000
4.0000
0.1422
testing/wikipedia/v3/13099.html
d d x ( 1 x 3 + 4 x ) = - 3 x 2 - 4 ( x 3 + 4 x ) 2 .

Doc 41
0.1422
-23.0000
3.0000
0.2844
testing/wikipedia/v3/06599.html
σ y y = μ b 2 π ( 1 - ν ) y ( x 2 - y 2 ) ( x 2 + y 2 ) 2
τ x y = μ b 2 π ( 1 - ν ) x ( x 2 - y 2 ) ( x 2 + y 2 ) 2

Doc 42
0.1422
-23.0000
3.0000
0.1422
testing/wikipedia/v3/02688.html
Q ( x ) = 1 2 - 1 2 erf ( x 2 ) = 1 2 erfc ( x 2 ) .

Doc 43
0.1422
-30.0000
2.0000
0.1422
testing/wikipedia/v3/13906.html
4 0 1 ( x 2 - x 6 ) 1 6 d x = Γ ( 1 6 ) Γ ( 1 3 ) 3 π 2.804 ,

Doc 44
0.1297
-6.0000
2.0000
0.3892
testing/wikipedia/v3/03370.html
f ( x ) = 1 x 3 - 1
f ( x ) = x 3 + 16 x 3 - 4 x 2 + 8 x
f ( x ) = 1 + 2 ( 1 x + x x 2 - 4 x + 8 )
Doc 45
0.1297
-6.0000
2.0000
0.1297
testing/wikipedia/v3/03892.html
f ( x ) = 1 x 2 - 1

Doc 46
0.1297
-9.0000
2.0000
0.2595
testing/wikipedia/v3/08705.html
= - x - x 2 2 - x 3 6
( J 0 3 f ) ( x ) = - x - x 2 2 - x 3 3

Doc 47
0.1297
-9.0000
2.0000
0.1297
testing/wikipedia/v3/09858.html
ψ 1 ( 3 2 ) = π 2 2 - 4

Doc 48
0.1297
-10.0000
2.0000
0.1297
testing/wikipedia/v3/04671.html
f ( x ) = 1 x sin ( 1 x 3 ) .

Doc 49
0.1297
-12.0000
4.0000
0.1297
testing/wikipedia/v3/04272.html
f ( x ) = x 3 - 2 x 2 ( x 2 - 5 )

Doc 50
0.1297
-12.0000
3.0000
0.1297
testing/wikipedia/v3/08655.html
V ( 𝐫 ) = - μ 1 r 1 - μ 2 r 2

Doc 51
0.1297
-12.0000
2.0000
0.1297
testing/wikipedia/v3/07059.html
1 6 ( - x 3 + 9 x 2 - 18 x + 6 )

Doc 52
0.1297
-12.0000
2.0000
0.1297
testing/wikipedia/v3/18092.html
| q | = 4 π n λ 0 sin ( θ 2 )    ( 5 )

Doc 53
0.1297
-12.0000
2.0000
0.1297
testing/wikipedia/v3/16672.html
d r = | x - y | ( | x + y | 2 ) .

Doc 54
0.1297
-13.0000
2.0000
0.1297
testing/wikipedia/v3/26570.html
φ t = 2 φ x 2 - x 2 φ

Doc 55
0.1297
-15.0000
4.0000
0.1297
testing/wikipedia/v3/04918.html
ρ t ( x ) = 1 2 π t e - x 2 2 t ,

Doc 56
0.1297
-15.0000
2.0000
0.1297
testing/wikipedia/v3/03663.html
f ( x ) = x x 4 + 10 x 2 - 96 x - 71 ,

Doc 57
0.1297
-17.0000
2.0000
0.1297
testing/wikipedia/v3/30289.html
a 2 = 2 x - 2 x - 2 x 2 - 2 x + 3 2

Doc 58
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 59
0.1297
-18.0000
3.0000
0.1297
testing/wikipedia/v3/09040.html
= 1 θ k Γ ( k ) ( 1 y ) k + 1 exp ( - 1 θ y )

Doc 60
0.1297
-18.0000
2.0000
0.1297
testing/wikipedia/v3/05897.html
w t = 1 2 2 w x 2 - u V ( x ) w

Doc 61
0.1297
-18.0000
2.0000
0.1297
testing/wikipedia/v3/16042.html
f ( x ) = 1 - x + x 2 - x 3 + = 1 1 + x .

Doc 62
0.1297
-20.0000
3.0000
0.3323
testing/wikipedia/v3/24194.html
1 + 7 x + 12 x 2 - 4 x 3 ( 1 - x 2 ) ( 1 - 16 x 2 )
1 + 3 x ( 1 - x 2 ) ( 1 - 4 x )
1 + 7 x ( 1 - x 2 ) ( 1 - 16 x 2 )
Doc 63
0.1297
-20.0000
2.0000
0.1297
testing/wikipedia/v3/09125.html
f ( x ) = 1 b - a rect ( x - ( a + b 2 ) b - a ) .

Doc 64
0.1297
-24.0000
2.0000
0.1297
testing/wikipedia/v3/26239.html
f ( x ) = 1 2 n ( x - y | x - y | + y | y | ) d μ ( y )

Doc 65
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 66
0.1297
-28.0000
2.0000
0.1297
testing/wikipedia/v3/00627.html
v a r [ log ( t a ) ] = ( s a 2 t a 2 + ( x a - x ¯ t a ) 2 - 1 ) n

Doc 67
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 68
0.1087
-22.0000
4.0000
0.1087
testing/wikipedia/v3/05130.html
α ( x ) = x + x 2 + 4 2 ,  β ( x ) = x - x 2 + 4 2

Doc 69
0.1013
-14.0000
1.0000
0.1013
testing/wikipedia/v3/04515.html
p = x 3 - y 3 x - y    ( x = y + 1 ) .

Doc 70
0.1013
-17.0000
3.0000
0.1922
testing/wikipedia/v3/09762.html
v = x - x ¯ h ( x ) ; w = y - y ¯ h ( y )
z = x - x ¯ h

Doc 71
0.1013
-17.0000
3.0000
0.1013
testing/wikipedia/v3/26388.html
G ( P ( n ) ; x ) = 3 - x 2 1 - x 2 - x 3 .

Doc 72
0.0909
-8.0000
2.0000
0.0909
testing/wikipedia/v3/10026.html
Z = Y y ( 1 - x - y )

Doc 73
0.0909
-8.0000
1.0000
0.0909
testing/wikipedia/v3/25318.html
δ ( x ) = x - x p p .

Doc 74
0.0909
-9.0000
2.0000
0.0909
testing/wikipedia/v3/00385.html
s ( x ) = x 1 - x - x 2

Doc 75
0.0909
-17.0000
2.0000
0.0909
testing/wikipedia/v3/10108.html
G ( P ( n ) ; x ) = 1 + x 1 - x 2 - x 3 .

Doc 76
0.0909
-19.0000
2.0000
0.0909
testing/wikipedia/v3/04443.html
( g ) ( y ) = 1 ε n e - π ε 2 | x - y | 2 .

Doc 77
0.0909
-21.0000
2.0000
0.0909
testing/wikipedia/v3/21607.html
d s 2 = 4 ( d x 2 + d y 2 ) ( 1 - x 2 - y 2 ) 2 .