Returned 84 matches (100 formulae, 53 docs)
    Lookup 94.568 ms, Re-ranking 4201.902 ms
    Found 1198363 tuple postings, 166929 formulae, 20516 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
1.0000
0.0000
39.0000
1.6761
testing/wikipedia/v3/04787.html
( Y T ) ( α 1 , α 2 , , X 1 , X 2 , ) = Y ( T ( α 1 , α 2 , , X 1 , X 2 , ) )
- T ( α 1 , α 2 , , Y X 1 , X 2 , ) - T ( α 1 , α 2 , , X 1 , Y X 2 , ) -
- T ( Y α 1 , α 2 , , X 1 , X 2 , ) - T ( α 1 , Y α 2 , , X 1 , X 2 , ) -
Doc 2
0.9483
-1.0000
38.0000
1.8497
testing/wikipedia/v3/03726.html
( Y T ) ( α 1 , α 2 , , X 1 , X 2 , ) = Y ( T ( α 1 , α 2 , , X 1 , X 2 , ) )
- T ( α 1 , α 2 , , Y X 1 , X 2 , ) - T ( α 1 , α 2 , , X 1 , Y X 2 , ) -
- T ( Y α 1 , α 2 , , X 1 , X 2 , ) - T ( α 1 , Y α 2 , , X 1 , X 2 , ) -
( i X ω ) ( X 1 , , X k ) = ω ( X , X 1 , , X k )

Doc 3
0.5561
-6.0000
14.0000
1.1195
testing/wikipedia/v3/08859.html
η ( X 1 , X 2 , , X n ) = E ( δ ( X 1 , X 2 , , X n ) | T )
var ( δ ( X 1 , X 2 , , X n ) ) var ( δ ~ ( X 1 , X 2 , , X n ) )
δ ( X 1 , X 2 , , X n )
Doc 4
0.5167
-25.0000
12.0000
1.1207
testing/wikipedia/v3/13191.html
Pr { f ( X 1 , X 2 , , X n ) - E [ f ( X 1 , X 2 , , X n ) ] ε } exp ( - 2 ε 2 i = 1 n c i 2 )
Pr { E [ f ( X 1 , X 2 , , X n ) ] - f ( X 1 , X 2 , , X n ) ε } exp ( - 2 ε 2 i = 1 n c i 2 )
Pr { | E [ f ( X 1 , X 2 , , X n ) ] - f ( X 1 , X 2 , , X n ) | ε } 2 exp ( - 2 ε 2 i = 1 n c i 2 ) .
Doc 5
0.3892
-23.0000
9.0000
2.2585
testing/wikipedia/v3/15004.html
C ( X 1 , X 2 , , X n ) D KL [ p ( X 1 , , X n ) p ( X 1 ) p ( X 2 ) p ( X n ) ] .
C ( X 1 , X 2 , , X n | Y = y ) D KL [ p ( X 1 , , X n | Y = y ) p ( X 1 | Y = y ) p ( X 2 | Y = y ) p ( X n | Y = y ) ] .
C ( X 1 , X 2 , , X n )
H ( X 1 , X 2 , , X n )
p ( X 1 , X 2 , , X n )
C ( X 1 , X 2 , , X n ) = [ i = 1 n H ( X i ) ] - H ( X 1 , X 2 , , X n )
C ( X 1 , X 2 , , X n | Y = y ) = i = 1 n H ( X i | Y = y ) - H ( X 1 , X 2 , , X n | Y = y )
{ X 1 , X 2 , , X n }

Doc 6
0.2927
-19.0000
7.0000
1.3878
testing/wikipedia/v3/08448.html
P ( X 1 , , X n ) = Q ( e 1 ( X 1 , , X n ) , , e n ( X 1 , , X n ) )
e n ( X 1 , X 2 , , X n ) = X 1 X 2 X n
R ( X 1 , , X n - 1 , 0 ) = Q ~ ( σ 1 , n - 1 , , σ n - 1 , n - 1 ) = P ( X 1 , , X n - 1 , 0 )
e 1 ( X 1 , X 2 ) = X 1 + X 2 , e 2 ( X 1 , X 2 ) = X 1 X 2 .
[ e 1 ( X 1 , , X n ) , , e n ( X 1 , , X n ) ] .
P ( X 1 , , X n ) = P lacunary ( X 1 , , X n ) + X 1 X n Q ( X 1 , , X n ) .
P ( X 1 , , X n ) A [ X 1 , , X n ] S n

Doc 7
0.2907
-17.0000
8.0000
0.5417
testing/wikipedia/v3/03395.html
Pr [ lim n - 1 n log p ( X 1 , X 2 , , X n ) = H ( X ) ] = 1
- 1 n log p ( X 1 , X 2 , , X n )

Doc 8
0.2867
-52.0000
6.0000
0.2867
testing/wikipedia/v3/11969.html
( i P Q ) ( X 0 , X 1 , , X p + q ) = σ S h p , q sgn ( σ ) P ( Q ( X σ ( 0 ) , X σ ( 1 ) , , X σ ( q ) ) , X σ ( q + 1 ) , , X σ ( p + q ) )

Doc 9
0.2781
-28.0000
10.0000
0.2781
testing/wikipedia/v3/01439.html
λ ( x 1 , x 2 , , x n , x n + 1 , ) = ( λ x 1 , λ x 2 , , λ x n , λ x n + 1 , )

Doc 10
0.2654
-22.0000
5.0000
0.2654
testing/wikipedia/v3/06725.html
D ϕ ( X 0 , X 1 , , X k ) = d ϕ ( h ( X 0 ) , h ( X 1 ) , , h ( X k ) )

Doc 11
0.2510
-1.0000
6.0000
1.6073
testing/wikipedia/v3/09816.html
g ( X 1 , X 2 , , X n )
g ( X 1 , X 2 , , X n )
g ( X 1 , X 2 , , X n ) = j = 1 m f j ( S j ) ,
g ( X 1 , X 2 , X 3 ) = f 1 ( X 1 ) f 2 ( X 1 , X 2 ) f 3 ( X 1 , X 2 ) f 4 ( X 2 , X 3 )
X = { X 1 , X 2 , , X n }
S j { X 1 , X 2 , , X n }
f 2 ( X 1 , X 2 ) f 3 ( X 1 , X 2 )

Doc 12
0.2510
-1.0000
6.0000
0.9361
testing/wikipedia/v3/17720.html
H ( X 1 , X 2 , , X n )
P ( X 1 , X 2 , , X n )
{ X 1 , X 2 , , X n }
P ( X 1 , X 2 , X 3 , X 4 , X 5 , X 6 )

Doc 13
0.2510
-3.0000
6.0000
0.2510
testing/wikipedia/v3/09470.html
ω ( X 1 , X 2 , , X n ) > 0.

Doc 14
0.2510
-5.0000
6.0000
1.1299
testing/wikipedia/v3/16662.html
h 0 ( X 1 , X 2 , , X n ) = 1 ,
h 1 ( X 1 , X 2 , , X n ) = 1 j n X j ,
h 2 ( X 1 , X 2 , , X n ) = 1 j k n X j X k ,
𝐙 [ h 1 ( X 1 , , X n ) , , h n ( X 1 , , X n ) ]
h 1 ( X 1 , , X n ) , , h n ( X 1 , , X n )
i = 0 m ( - 1 ) i e i ( X 1 , , X n ) h m - i ( X 1 , , X n ) = 0 ,
Doc 15
0.2510
-7.0000
6.0000
0.2510
testing/wikipedia/v3/25874.html
Y = f ( 𝐗 ) = f ( X 1 , X 2 , , X n )

Doc 16
0.2510
-32.0000
6.0000
0.2510
testing/wikipedia/v3/11030.html
f ( X 1 , X 2 , , X n ) = X 1 f ( 1 , X 2 , , X n ) + X 1 f ( 0 , X 2 , , X n )

Doc 17
0.2437
-6.0000
7.0000
0.4526
testing/wikipedia/v3/08932.html
= κ ( κ ( X 1 , X 2 , X 3 , X 4 Y ) )
κ ( X 1 , X 2 , X 3 , X 4 )

Doc 18
0.2400
-29.0000
7.0000
0.6907
testing/wikipedia/v3/09320.html
( X 1 , X 2 , , X d ) = ( F 1 - 1 ( U 1 ) , F 2 - 1 ( U 2 ) , , F d - 1 ( U d ) ) .
( X 1 , X 2 , , X d )
( X 1 i , X 2 i , , X d i ) ,  i = 1 , , n
Doc 19
0.2350
-6.0000
6.0000
0.2350
testing/wikipedia/v3/04743.html
Q = f ( X 1 , X 2 , X 3 , , X n )

Doc 20
0.2350
-26.0000
3.0000
0.2350
testing/wikipedia/v3/25071.html
Q : { Q 1 ( X 0 , X 1 , X 2 , X 3 ) = 0 } { Q 2 ( X 0 , X 1 , X 2 , X 3 ) = 0 }

Doc 21
0.2254
-1.0000
6.0000
0.4507
testing/wikipedia/v3/00068.html
{ X 1 , X 2 , , X n }
{ X 1 ,  X 2 ,  ,  X n - k }

Doc 22
0.2254
-1.0000
6.0000
0.2254
testing/wikipedia/v3/17374.html
( X 1 , X 2 , , X N )

Doc 23
0.2254
-1.0000
6.0000
0.2254
testing/wikipedia/v3/06533.html
{ X 1 , X 2 , , X n }

Doc 24
0.2254
-3.0000
6.0000
0.4050
testing/wikipedia/v3/15007.html
𝒱 = { X 1 , X 2 , , X n }
{ X 1 , X 2 , X 3 , X 4 , X 5 , X 6 , X 7 , X 8 }

Doc 25
0.2254
-3.0000
6.0000
0.2254
testing/wikipedia/v3/13572.html
X = { X 1 , X 2 , , X r }

Doc 26
0.2254
-3.0000
6.0000
0.2254
testing/wikipedia/v3/14559.html
X = ( X 1 , X 2 , , X n )

Doc 27
0.2254
-3.0000
6.0000
0.2254
testing/wikipedia/v3/17633.html
𝐗 = { X 1 , X 2 , , X n }

Doc 28
0.2254
-3.0000
6.0000
0.2254
testing/wikipedia/v3/27117.html
Ω = { X 1 , X 2 , , X n }

Doc 29
0.2254
-18.0000
4.0000
0.2254
testing/wikipedia/v3/10101.html
( ι X ω ) ( X 1 , , X p - 1 ) = ω ( X , X 1 , , X p - 1 )

Doc 30
0.2246
-7.0000
10.0000
0.2246
testing/wikipedia/v3/12255.html
𝜶 = ( α 1 , α 2 , α 3 , α 4 , , α n )

Doc 31
0.2137
-29.0000
7.0000
0.2137
testing/wikipedia/v3/23842.html
ξ ~ 1 ( α 1 , β 1 , α 2 , β 2 , η , γ , ν ) , ξ ~ 2 ( α 1 , β 1 , α 2 , β 2 , η , γ , ν )

Doc 32
0.2034
-18.0000
7.0000
0.2034
testing/wikipedia/v3/22724.html
H { 𝐗 } = lim n H ( X 0 , X 1 , , X n - 1 , X n ) n + 1 .

Doc 33
0.1905
-7.0000
5.0000
0.1905
testing/wikipedia/v3/25539.html
( X 1 , , X i , Y i + 1 , Y r )

Doc 34
0.1827
-2.0000
5.0000
0.3655
testing/wikipedia/v3/14191.html
( X 1 , X 2 , X 3 , )
( X 0 , X 1 , X 2 , )

Doc 35
0.1827
-2.0000
5.0000
0.1827
testing/wikipedia/v3/27942.html
{ X 1 , X 2 , X 3 , }

Doc 36
0.1827
-4.0000
5.0000
0.1827
testing/wikipedia/v3/14883.html
𝐗 = ( X 1 , X 2 , X 3 , )

Doc 37
0.1796
-25.0000
10.0000
0.1796
testing/wikipedia/v3/25042.html
d i ( X ) = Y ( X 1 , , X i - 1 , X i + Δ , X i + 1 , , X k ) - Y ( 𝐗 ) Δ

Doc 38
0.1749
-30.0000
9.0000
0.1749
testing/wikipedia/v3/26805.html
X = ( X 1 , , X n ) , X ( i ) = ( X 1 , , X i - 1 , X i , X i + 1 , , X n ) .

Doc 39
0.1637
-27.0000
3.0000
0.3275
testing/wikipedia/v3/17690.html
R 1 = max f ( X 1 , X 2 ) min { I ( X 1 ; Y 2 | X 2 ) , I ( X 1 , X 2 ; Y 3 ) }
C + = max f ( X 1 , X 2 ) min { I ( X 1 ; Y 2 , Y 3 | X 2 ) , I ( X 1 , X 2 ; Y 3 ) }

Doc 40
0.1637
-33.0000
3.0000
0.1637
testing/wikipedia/v3/09952.html
[ I I i j ] = [ I I ( X 1 , X 1 ) I I ( X 1 , X 2 ) I I ( X 2 , X 1 ) I I ( X 2 , X 2 ) ] .

Doc 41
0.1637
-35.0000
4.0000
0.4908
testing/wikipedia/v3/08445.html
p 3 ( X 1 , X 2 ) = 3 2 p 2 ( X 1 , X 2 ) p 1 ( X 1 , X 2 ) - 1 2 p 1 ( X 1 , X 2 ) 3 .
m ( 2 , 1 ) ( X 1 , X 2 ) = 1 2 p 1 ( X 1 , X 2 ) 3 - 1 2 p 2 ( X 1 , X 2 ) p 1 ( X 1 , X 2 ) .
e k ( X 1 , , X n ) = m α ( X 1 , , X n )
Doc 42
0.1633
-41.0000
4.0000
0.6411
testing/wikipedia/v3/26653.html
D ( X 1 , , X n ) = H ( X 1 , , X n ) - i = 1 n H ( X i | X 1 , , X i - 1 , X i + 1 , , X n ) ,
D ( X 1 , , X n ) [ i = 1 n H ( X 1 , , X i - 1 , X i + 1 , , X n ) ] - ( n - 1 ) H ( X 1 , , X n ) .
0 D ( X 1 , , X n ) H ( X 1 , , X n ) .
N D ( X 1 , , X n ) = D ( X 1 , , X n ) H ( X 1 , , X n ) .
C ( X 1 , , X n ) n - 1 D ( X 1 , , X n ) ( n - 1 ) C ( X 1 , , X n ) .

Doc 43
0.1633
-48.0000
4.0000
0.1633
testing/wikipedia/v3/04316.html
p 3 ( X 1 , , X n ) = e 1 ( X 1 , , X n ) 3 - 3 e 2 ( X 1 , , X n ) e 1 ( X 1 , , X n ) + 3 e 3 ( X 1 , , X n ) ,

Doc 44
0.1562
-22.0000
5.0000
0.1562
testing/wikipedia/v3/17697.html
X = ( X 1 , , X k ) G D k ( α 1 , , α k ; β 1 , , β k )

Doc 45
0.1480
-27.0000
3.0000
0.1480
testing/wikipedia/v3/23944.html
I 1 = [ α 1 , b ] ,   I 2 = [ α 2 , α 1 ] , ,   I n = [ α n , α n - 1 ] ,

Doc 46
0.1409
-11.0000
6.0000
0.1409
testing/wikipedia/v3/07314.html
{ 0 , 1 , α , α 2 , α 3 , , α p m - 2 }

Doc 47
0.1356
-14.0000
5.0000
0.1356
testing/wikipedia/v3/08163.html
X t = { , X t - 1 , X t , X t + 1 , }

Doc 48
0.1069
-14.0000
3.0000
0.1069
testing/wikipedia/v3/13009.html
p ( X 1 , , X n ) not  p ( X 1 , , X n )

Doc 49
0.1069
-23.0000
4.0000
0.1069
testing/wikipedia/v3/03072.html
{ X 1 , X 2 , . , X n p ( X 1 , X 2 , . , X n ) }

Doc 50
0.1069
-28.0000
4.0000
0.1069
testing/wikipedia/v3/12246.html
h ( X 1 , , X n ) = i = 1 n h ( X i | X 1 , , X i - 1 ) h ( X i )

Doc 51
0.0864
-7.0000
6.0000
0.1729
testing/wikipedia/v3/09669.html
[ X 1 , , X r , Y 1 , , Y s ] .
f 1 ( X 1 , , X r , Y 1 , , Y s ) , , f n ( X 1 , , X r , Y 1 , , Y s )

Doc 52
0.0835
-24.0000
5.0000
0.0835
testing/wikipedia/v3/15678.html
{ α 1 a 1 + + α n a n α 1 , , α n 0 , α 1 , , α n } ,

Doc 53
0.0793
-23.0000
2.0000
0.0793
testing/wikipedia/v3/25851.html
dCov ( X 1 + X 2 , Y 1 + Y 2 ) dCov ( X 1 , Y 1 ) + dCov ( X 2 , Y 2 ) .