Returned 94 matches (100 formulae, 76 docs)
    Lookup 622.275 ms, Re-ranking 1530.751 ms
    Found 1639172 tuple postings, 191749 formulae, 21922 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
0.2979
-12.0000
4.0000
0.2979
testing/wikipedia/v3/00467.html
f ′′ ( x ) = ( q p ) ( q p - 1 ) x q p - 2

Doc 3
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 4
0.2062
-2.0000
3.0000
0.4124
testing/wikipedia/v3/00687.html
( 1 y ) ( 1 x )
( 1 x ) ( 1 y )

Doc 5
0.2062
-8.0000
3.0000
0.2062
testing/wikipedia/v3/06302.html
( a n m ) = ( a n ) ( a m )

Doc 6
0.2062
-8.0000
3.0000
0.2062
testing/wikipedia/v3/02166.html
( a m n ) = ( a m ) ( a n )

Doc 7
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 8
0.2062
-14.0000
3.0000
0.4124
testing/wikipedia/v3/13717.html
K s p = ( N A ( f ) V ) x ( N B ( f ) V ) y
K s p = ( N A ( Δ ) V ) x ( N B ( Δ ) V ) y

Doc 9
0.2062
-24.0000
4.0000
0.4905
testing/wikipedia/v3/06599.html
σ x x = - μ b 2 π ( 1 - ν ) y ( 3 x 2 + y 2 ) ( x 2 + y 2 ) 2
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 10
0.2062
-24.0000
3.0000
0.2062
testing/wikipedia/v3/02890.html
B n 1 n ( n W ( n ) ) n + 1 2 exp ( n W ( n ) - n - 1 ) .

Doc 11
0.1818
-22.0000
3.0000
0.1818
testing/wikipedia/v3/27473.html
S 2 - 1.5382 Γ ( 3 2 ) 2 ( Γ ( 5 2 ) - Γ ( 3 2 ) ) 0.0854

Doc 12
0.1681
-7.0000
3.0000
0.5042
testing/wikipedia/v3/04392.html
tan ( arccsc x ) = 1 x 2 - 1
cos ( arccsc x ) = x 2 - 1 x
sin ( arcsec x ) = x 2 - 1 x
Doc 13
0.1681
-7.0000
3.0000
0.1681
testing/wikipedia/v3/16716.html
( arcosh x ) = 1 x 2 - 1

Doc 14
0.1681
-11.0000
3.0000
0.1681
testing/wikipedia/v3/01650.html
= 2 ( t a - floor ( 1 2 + t a ) )

Doc 15
0.1681
-18.0000
3.0000
0.1681
testing/wikipedia/v3/14685.html
( z x ) y = - ( z y ) x ( y x ) z

Doc 16
0.1681
-20.0000
3.0000
0.2978
testing/wikipedia/v3/00134.html
j 2 ( x ) = ( 3 x 2 - 1 ) sin ( x ) x - 3 cos ( x ) x 2
j 1 ( x ) = sin ( x ) x 2 - cos ( x ) x

Doc 17
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 18
0.1681
-29.0000
3.0000
0.1681
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 )

Doc 19
0.1519
-19.0000
4.0000
0.3725
testing/wikipedia/v3/12246.html
f ( x ) = 2 β α 2 Γ ( α 2 ) x α - 1 exp ( - β x 2 )
f ( x ) = 1 2 k / 2 Γ ( k / 2 ) x k 2 - 1 exp ( - x 2 )
f ( x ) = 2 2 k / 2 Γ ( k / 2 ) x k - 1 exp ( - x 2 2 )
Doc 20
0.1519
-20.0000
4.0000
0.2532
testing/wikipedia/v3/10770.html
r x y = x y ¯ - x ¯ y ¯ ( x 2 ¯ - x ¯ 2 ) ( y 2 ¯ - y ¯ 2 )
r x y = x y ¯ ( x 2 ¯ ) ( y 2 ¯ )

Doc 21
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 22
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 23
0.1519
-21.0000
1.0000
0.1519
testing/wikipedia/v3/29923.html
S 2 = 2 m [ m ( 2 ) - x ¯ 2 2 x ¯ ] 2 = m ( d ~ - 1 ) 2 2

Doc 24
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 25
0.1422
-10.0000
2.0000
0.1422
testing/wikipedia/v3/27745.html
( δ - ( λ d ) 1 - ( λ d ) ) 2

Doc 26
0.1422
-13.0000
3.0000
0.1422
testing/wikipedia/v3/00438.html
tan A = ( ( - z y ) ( z x ) )

Doc 27
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 28
0.1422
-14.0000
3.0000
0.1422
testing/wikipedia/v3/30312.html
P ( x ) ( 1 - x ) ( 1 - x 2 ) ( 1 - x n )

Doc 29
0.1422
-16.0000
3.0000
0.1422
testing/wikipedia/v3/04901.html
( d y d x ) 2 = ( y 2 - 1 ) ( 1 - k 2 - y 2 )

Doc 30
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 31
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 32
0.1422
-20.0000
2.0000
0.1422
testing/wikipedia/v3/24722.html
f ( x ) = 1 2 1 2 Γ ( 1 2 ) x - 1 2 e - x 2

Doc 33
0.1422
-21.0000
2.0000
0.2844
testing/wikipedia/v3/13693.html
θ = arctan ( x 2 + y 2 z ) = arccos ( z x 2 + y 2 + z 2 )
ϕ = arctan ( y x ) = arccos ( x x 2 + y 2 ) = arcsin ( y x 2 + y 2 )

Doc 34
0.1422
-21.0000
2.0000
0.1422
testing/wikipedia/v3/00703.html
( 1 2 ( x - 1 x ) ) 2 + 1 = ( 1 2 ( x + 1 x ) ) 2 ,

Doc 35
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 36
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 37
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 38
0.1297
-9.0000
3.0000
0.1297
testing/wikipedia/v3/04297.html
V = 1 2 ( x 1 2 + x 2 2 )

Doc 39
0.1297
-12.0000
4.0000
0.1297
testing/wikipedia/v3/04272.html
f ( x ) = x 3 - 2 x 2 ( x 2 - 5 )

Doc 40
0.1297
-12.0000
2.0000
0.1297
testing/wikipedia/v3/02375.html
cos ( x 2 ) = ± 1 2 ( 1 + cos x )

Doc 41
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 42
0.1297
-14.0000
3.0000
0.1297
testing/wikipedia/v3/14701.html
R 2 ( x ) = x 2 - 4 x + 1 ( x + 1 ) 2

Doc 43
0.1297
-14.0000
3.0000
0.1297
testing/wikipedia/v3/06354.html
T = 1 2 x ˙ 2 = 1 2 ( x t ) 2

Doc 44
0.1297
-14.0000
2.0000
0.1297
testing/wikipedia/v3/06855.html
e 𝛀 θ 2 = cos ( θ 2 ) + 𝛀 sin ( θ 2 )

Doc 45
0.1297
-14.0000
2.0000
0.1297
testing/wikipedia/v3/14448.html
K n ( x ) = ( x 2 ) n 𝒦 n ( x 2 4 ) .

Doc 46
0.1297
-14.0000
2.0000
0.1297
testing/wikipedia/v3/00354.html
K ( 2 2 ) = 1 4 π Γ ( 1 4 ) 2

Doc 47
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 48
0.1297
-17.0000
3.0000
0.2384
testing/wikipedia/v3/03370.html
f ( x ) = 1 + 2 ( 1 x + x x 2 - 4 x + 8 )
f ( x ) = 1 ( x - 1 ) ( x 2 + x + 1 )

Doc 49
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 50
0.1297
-18.0000
3.0000
0.2595
testing/wikipedia/v3/13099.html
d d x ( 1 g ( x ) ) = - g ( x ) ( g ( x ) ) 2
d d x ( 1 g ( x ) ) = d d x ( f ( x ) g ( x ) )

Doc 51
0.1297
-18.0000
3.0000
0.2595
testing/wikipedia/v3/09040.html
= 1 θ k Γ ( k ) ( 1 y ) k + 1 exp ( - 1 θ y )
= 1 θ k Γ ( k ) ( 1 y ) k - 1 exp ( - 1 θ y ) 1 y 2

Doc 52
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 53
0.1297
-19.0000
2.0000
0.2595
testing/wikipedia/v3/26874.html
K = 2 ( Γ ( n - 1 2 ) ) 2 ( Γ ( n - 2 2 ) ) 2 .
K = 2 ( Γ ( N - t 2 ) ) 2 ( Γ ( N - t - 1 2 ) ) 2

Doc 54
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 + 7 x ( 1 - x 2 ) ( 1 - 16 x 2 )
( 1 + 2 x ) ( 1 + 5 x - 16 x 4 ) ( 1 - x 2 ) ( 1 - 16 x 2 )
Doc 55
0.1297
-20.0000
2.0000
0.1297
testing/wikipedia/v3/21857.html
f ( x ) = 2 ω ϕ ( x - ξ ω ) Φ ( α ( x - ξ ω ) ) .

Doc 56
0.1297
-20.0000
2.0000
0.1297
testing/wikipedia/v3/17427.html
Φ ( k + 1 ) ( ω ) = 1 2 H ( ω 2 ) Φ ( k ) ( ω 2 )

Doc 57
0.1297
-21.0000
2.0000
0.1297
testing/wikipedia/v3/07989.html
= ( 1 2 ( t j - y j ) 2 ) y j y j w j i

Doc 58
0.1297
-24.0000
2.0000
0.1297
testing/wikipedia/v3/23272.html
θ = tan - 1 ( ( x 1 - x 2 ) 2 + ( y 1 - y 2 ) 2 z 1 - z 2 )

Doc 59
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 60
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 61
0.1297
-26.0000
3.0000
0.1297
testing/wikipedia/v3/05600.html
0 x n e - a x 2 d x = Γ ( ( n + 1 ) 2 ) 2 a ( n + 1 ) 2

Doc 62
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 63
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 64
0.1013
-9.0000
2.0000
0.1013
testing/wikipedia/v3/01593.html
1 - ( x x i ) k x - x i

Doc 65
0.1013
-14.0000
1.0000
0.1013
testing/wikipedia/v3/25357.html
f ( i ) i = 1 2 + O ( log log i i )

Doc 66
0.1013
-17.0000
3.0000
0.1013
testing/wikipedia/v3/09762.html
v = x - x ¯ h ( x ) ; w = y - y ¯ h ( y )

Doc 67
0.1013
-20.0000
3.0000
0.1013
testing/wikipedia/v3/25915.html
p = g z ( g x ) 2 + ( g y ) 2

Doc 68
0.1013
-22.0000
2.0000
0.1013
testing/wikipedia/v3/16694.html
d ( d ( d y d x ) d x ) d x = ( d d x ) 3 ( f ( x ) )

Doc 69
0.0909
-14.0000
1.0000
0.0909
testing/wikipedia/v3/05524.html
b 3 = 3 y 2 - y 1 ( x 2 - x 1 ) 2

Doc 70
0.0909
-16.0000
2.0000
0.0909
testing/wikipedia/v3/04654.html
d ( d ( d ( f ( x ) ) d x ) d x ) d x ,

Doc 71
0.0909
-17.0000
1.0000
0.0909
testing/wikipedia/v3/17918.html
1 ( R - x ) 2 + 1 ( R + x ) 2 = 1 r 2

Doc 72
0.0909
-19.0000
1.0000
0.1818
testing/wikipedia/v3/16497.html
r = z ( 1 + ( x - x ) 2 + y 2 z 2 ) 1 2
r z ( 1 + 1 2 ( x - x ) 2 + y 2 z 2 )

Doc 73
0.0909
-19.0000
1.0000
0.0909
testing/wikipedia/v3/07344.html
x ( 2 x 2 + y 2 ) y ( a 2 - x 2 ) = d y d x

Doc 74
0.0909
-21.0000
2.0000
0.1818
testing/wikipedia/v3/23312.html
f x = x 0 - x ( x 0 - x ) 2 + ( y 0 - y ) 2 ( 19 )
f y = y 0 - y ( x 0 - x ) 2 + ( y 0 - y ) 2 ( 20 )

Doc 75
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 .

Doc 76
0.0909
-21.0000
2.0000
0.0909
testing/wikipedia/v3/25332.html
F ( x ) = 2 π arcsin ( x ) = arcsin ( 2 x - 1 ) π + 1 2