Returned 95 matches (100 formulae, 78 docs)
    Lookup 62.157 ms, Re-ranking 777.782 ms
    Found 1208421 tuple postings, 108028 formulae, 17045 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
1.0000
-6.0000
18.0000
1.0000
testing/wikipedia/v3/22382.html
n f d x = 0 { B ( x 0 ; r ) f d S } d r .

Doc 2
0.5128
-19.0000
8.0000
0.5128
testing/wikipedia/v3/23543.html
𝐑 n f d V = 0 S n - 1 ( r ) exp ( - r 2 / 2 ) d A d r ,

Doc 3
0.4586
-12.0000
6.0000
0.6041
testing/wikipedia/v3/06294.html
lim λ 1 λ 0 λ { 0 x f ( y ) d y } d x
0 f ( x ) d x

Doc 4
0.4043
-8.0000
6.0000
0.4043
testing/wikipedia/v3/00636.html
a b f ¯ d x = a b f ( x ) d x

Doc 5
0.4043
-23.0000
6.0000
0.8313
testing/wikipedia/v3/00911.html
a b f d x = a b lim n f n d x = lim n a b f n d x .
f n d x = 1.
f d x lim f n d x .
Doc 6
0.3913
-8.0000
7.0000
0.7634
testing/wikipedia/v3/04210.html
lim n S f n d μ = S f d μ .
lim n S f n d μ = S f d μ

Doc 7
0.3721
-5.0000
6.0000
0.3721
testing/wikipedia/v3/12803.html
F = 0 1 Γ ( x ) d x .

Doc 8
0.3721
-6.0000
6.0000
0.9677
testing/wikipedia/v3/25221.html
A f d μ = [ a , b ] f d μ
lim k f k d μ = f d μ .
f = 0 f * ( t ) d t
Doc 9
0.3721
-6.0000
6.0000
0.8739
testing/wikipedia/v3/00545.html
A f d μ = [ a , b ] f d μ
f = 0 f * ( t ) d t
S f d x 1 d x m .
Doc 10
0.3721
-10.0000
6.0000
0.7221
testing/wikipedia/v3/22483.html
f d V = - f ( t ) sinh 2 t d t .
f d A = - f ( t ) | sinh t | d t .

Doc 11
0.3721
-18.0000
7.0000
0.3721
testing/wikipedia/v3/16043.html
0 e - x e - x d x = 0 e - 2 x d x = 1 2 .

Doc 12
0.3347
-3.0000
7.0000
0.3347
testing/wikipedia/v3/03480.html
f ^ d μ = f d μ .

Doc 13
0.3347
-7.0000
7.0000
0.3347
testing/wikipedia/v3/02327.html
lim k f k d μ = f d μ .

Doc 14
0.3347
-16.0000
7.0000
0.3347
testing/wikipedia/v3/30274.html
0 f ( x ) x 2 d x Para  x > 2 = 0 1 e Li ( n ) d n Li: Logarithmic integral

Doc 15
0.3167
-5.0000
5.0000
0.3167
testing/wikipedia/v3/11921.html
m n = 0 x n d μ ( x )

Doc 16
0.3167
-7.0000
4.0000
1.0527
testing/wikipedia/v3/04168.html
0 | sin ( x ) x | d x = .
0 sin x d x
0 sin x x d x = -
0 f ( x ) d x
- f ( x ) d x

Doc 17
0.3167
-7.0000
4.0000
0.6335
testing/wikipedia/v3/02387.html
n ! = 0 x n e - x d x .
n ! = 0 e n ln x - x d x = e n ln n n 0 e n ( ln y - y ) d y .

Doc 18
0.3167
-13.0000
5.0000
0.3167
testing/wikipedia/v3/02799.html
J = 0 x 3 e x - 1 d x = π 4 15 .

Doc 19
0.3167
-16.0000
5.0000
0.6077
testing/wikipedia/v3/15045.html
- 1 1 f ( x ) d x = 0 π f ( cos θ ) sin ( θ ) d θ .
0 f ( x ) d x
- f ( x ) d x
Doc 20
0.2956
-6.0000
4.0000
0.6820
testing/wikipedia/v3/01871.html
0 | f ( x ) | d x = L .
0 f a d x
0 f ( x ) d x
Doc 21
0.2956
-8.0000
5.0000
0.2956
testing/wikipedia/v3/09470.html
b a f d x = - a b f d x

Doc 22
0.2956
-15.0000
4.0000
0.2956
testing/wikipedia/v3/04098.html
lim n X f n d μ = sup f F X f d μ .

Doc 23
0.2956
-17.0000
4.0000
1.7613
testing/wikipedia/v3/03676.html
lim k S f n k d μ = lim inf n S f n d μ .
lim sup n S f n d μ S lim sup n f n d μ .
E f d μ lim inf n E f n d μ .
S f d μ lim inf n S f n d μ .
E f d μ lim inf n E f n d μ n .
S f d μ lim inf n S f n d μ n .
S lim inf n f n d μ lim inf n S f n d μ .

Doc 24
0.2772
-5.0000
5.0000
0.2772
testing/wikipedia/v3/12434.html
E f n d μ E f d μ

Doc 25
0.2609
-3.0000
3.0000
0.5217
testing/wikipedia/v3/13820.html
τ = R k ρ d r
P 0 = R g ρ d r

Doc 26
0.2609
-4.0000
5.0000
0.2609
testing/wikipedia/v3/06823.html
μ n = 0 x n d μ

Doc 27
0.2609
-5.0000
3.0000
0.2609
testing/wikipedia/v3/00955.html
V = 0 r A ( r ) d r .

Doc 28
0.2609
-7.0000
4.0000
0.5518
testing/wikipedia/v3/00619.html
μ n = 0 t n f ( t ) d t
F ( s ) = 0 f ( t ) e - s t d t .
lim ε 0 - ε .
Doc 29
0.2609
-7.0000
3.0000
0.2609
testing/wikipedia/v3/24859.html
( u ) = n | u | 2 d x

Doc 30
0.2609
-9.0000
4.0000
0.2609
testing/wikipedia/v3/02284.html
area under curve = 1 1 x d x = .

Doc 31
0.2609
-11.0000
4.0000
0.2609
testing/wikipedia/v3/14975.html
R λ f = 0 e - λ t T t f d t .

Doc 32
0.2609
-16.0000
5.0000
0.2609
testing/wikipedia/v3/05600.html
- e - x 2 d x = 2 0 e - x 2 d x .

Doc 33
0.2609
-16.0000
5.0000
0.2609
testing/wikipedia/v3/05340.html
h pot = 0 4 π r 2 ρ U ( r ) g ( r ) d r .

Doc 34
0.2609
-25.0000
4.0000
0.2609
testing/wikipedia/v3/23179.html
Λ m n f ( x , θ ) d θ d x = m d x Λ n f ( x , θ ) d θ .

Doc 35
0.2410
-1.0000
5.0000
0.2410
testing/wikipedia/v3/05766.html
f d x = 1.

Doc 36
0.2410
-5.0000
3.0000
0.2410
testing/wikipedia/v3/03442.html
μ ( A ) = A f d ν .

Doc 37
0.2410
-6.0000
2.0000
0.4819
testing/wikipedia/v3/01018.html
0 f k e - x d x ,
0 x j e - x d x = j !

Doc 38
0.2410
-7.0000
1.0000
0.2410
testing/wikipedia/v3/22784.html
0 x 2 e - 3 x d x .

Doc 39
0.2410
-8.0000
5.0000
0.2410
testing/wikipedia/v3/22591.html
x = 0 v ( t ) d t t ,

Doc 40
0.2410
-8.0000
3.0000
0.2410
testing/wikipedia/v3/27384.html
B ( f , g ) = S 1 f d g .

Doc 41
0.2410
-9.0000
3.0000
0.2410
testing/wikipedia/v3/12280.html
0 ( 1 x ) μ ( d x ) < .

Doc 42
0.2410
-12.0000
1.0000
0.2410
testing/wikipedia/v3/00432.html
Γ ( t ) = 0 x t - 1 e - x d x .

Doc 43
0.2410
-12.0000
1.0000
0.2410
testing/wikipedia/v3/04629.html
Γ ( α ) = 0 x α - 1 e - x d x .

Doc 44
0.2410
-15.0000
1.0000
0.2410
testing/wikipedia/v3/05947.html
N ! = Γ ( N + 1 ) = 0 e - x x N d x .

Doc 45
0.2410
-15.0000
1.0000
0.2410
testing/wikipedia/v3/04604.html
0 x n e - α x d x = n ! α n + 1 .

Doc 46
0.2410
-21.0000
4.0000
0.2410
testing/wikipedia/v3/06545.html
1 = - f ( x ) d x = g ( - ) g ( ) f ( x ) d x .

Doc 47
0.2182
-4.0000
5.0000
0.2182
testing/wikipedia/v3/14929.html
f d μ n f d μ

Doc 48
0.2182
-6.0000
4.0000
0.2182
testing/wikipedia/v3/16845.html
n f ( x ) d x < + .

Doc 49
0.2182
-11.0000
4.0000
0.2182
testing/wikipedia/v3/12074.html
g ( y ) = 0 f ( x ) K i y ( x ) d x

Doc 50
0.2182
-20.0000
4.0000
0.2182
testing/wikipedia/v3/05870.html
n f ( t x ) φ ( x ) d x = t k n f ( x ) φ ( x ) d x

Doc 51
0.2041
-2.0000
4.0000
0.2041
testing/wikipedia/v3/16421.html
= 0 C d t

Doc 52
0.2041
-2.0000
4.0000
0.2041
testing/wikipedia/v3/11968.html
= 0 C d t

Doc 53
0.2041
-2.0000
4.0000
0.2041
testing/wikipedia/v3/11852.html
= 0 C d t

Doc 54
0.2041
-2.0000
4.0000
0.2041
testing/wikipedia/v3/22795.html
= 0 C d t

Doc 55
0.2041
-2.0000
4.0000
0.2041
testing/wikipedia/v3/08086.html
= 0 C d t

Doc 56
0.2041
-5.0000
3.0000
0.2041
testing/wikipedia/v3/08891.html
n φ ( x ) d x = 1

Doc 57
0.2041
-9.0000
4.0000
0.2041
testing/wikipedia/v3/00338.html
E [ X ] = 0 P ( X x ) d x

Doc 58
0.2041
-11.0000
4.0000
0.2041
testing/wikipedia/v3/13472.html
( f , g ) = n f ( x ) g ( x ) d x

Doc 59
0.2041
-13.0000
4.0000
0.2041
testing/wikipedia/v3/01680.html
h ( z ) = n f ( x ) g ( z - x ) d x .

Doc 60
0.2041
-13.0000
4.0000
0.2041
testing/wikipedia/v3/06688.html
f , g = 0 f ( s ) g ( s ) d s .

Doc 61
0.2041
-14.0000
3.0000
0.2041
testing/wikipedia/v3/10288.html
= Ω 0 1 f ( u + s τ ψ ) ψ d s d x .

Doc 62
0.2041
-16.0000
4.0000
0.3495
testing/wikipedia/v3/07059.html
f , g = 0 f ( x ) g ( x ) e - x d x .
0 f ( x ) e - x d x .

Doc 63
0.2041
-18.0000
5.0000
0.2041
testing/wikipedia/v3/27946.html
x 0 = - - 0 θ ( x ) d x + 0 φ ( x ) d x .

Doc 64
0.1860
-5.0000
2.0000
0.1860
testing/wikipedia/v3/15717.html
0 1 f ( x ) d x .

Doc 65
0.1860
-12.0000
2.0000
0.1860
testing/wikipedia/v3/00806.html
x = - x P n ( x ) d x .

Doc 66
0.1860
-13.0000
3.0000
0.1860
testing/wikipedia/v3/02848.html
- f ( x ) x n e - x 2 d x = 0

Doc 67
0.1562
-8.0000
3.0000
0.1562
testing/wikipedia/v3/00163.html
F ¯ ( c ) = c f ( x ) d x

Doc 68
0.1562
-9.0000
3.0000
0.1562
testing/wikipedia/v3/01655.html
f ^ ( 0 ) = - f ( x ) d x

Doc 69
0.1562
-10.0000
2.0000
0.3125
testing/wikipedia/v3/10883.html
4 0 f ( t ) cos  2 π ν t d t .
4 0 f ( t ) sin  2 π ν t d t .

Doc 70
0.1562
-16.0000
3.0000
0.3017
testing/wikipedia/v3/01122.html
- f ( x ) δ ( x - x 0 ) d x = f ( x 0 ) .
- f ( x ) δ ( x ) d x = f ( 0 )

Doc 71
0.1562
-24.0000
3.0000
0.1562
testing/wikipedia/v3/08638.html
- f ( r ) d x = 2 0 f ( r ) d x ,  r = x 2 + y 2 .

Doc 72
0.1455
-4.0000
2.0000
0.1455
testing/wikipedia/v3/17588.html
a f ( x ) d x

Doc 73
0.1455
-4.0000
2.0000
0.1455
testing/wikipedia/v3/04930.html
N f ( x ) d x

Doc 74
0.1455
-7.0000
3.0000
0.2909
testing/wikipedia/v3/04642.html
0 f ( x ) d x =
- 0 f ( x ) d x = ±

Doc 75
0.1455
-7.0000
2.0000
0.1455
testing/wikipedia/v3/03771.html
- f ( x ) d x = 1.

Doc 76
0.1455
-9.0000
3.0000
0.1455
testing/wikipedia/v3/00888.html
0 f ( x ) x s - 1 d x ,

Doc 77
0.1455
-13.0000
3.0000
0.1455
testing/wikipedia/v3/03301.html
- f ( x ) δ ( x ) d x = f ( 0 ) .

Doc 78
0.1304
-5.0000
3.0000
0.1304
testing/wikipedia/v3/28200.html
2 π 0 0 π