Returned 80 matches (100 formulae, 52 docs)
    Lookup 5.370 ms, Re-ranking 3682.628 ms
    Found 21501 tuple postings, 13454 formulae, 4796 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
1.3342
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 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 - 1 , 0 )
P ( X 1 , , X n ) A [ X 1 , , X n ] S n

Doc 7
0.2510
-1.0000
6.0000
1.6182
testing/wikipedia/v3/09816.html
g ( X 1 , X 2 , , X n )
g ( X 1 , X 2 , , X n )
g k ( X k ) = X k ¯ g ( X 1 , X 2 , , X n )
g ( X 1 , X 2 , , X n ) = j = 1 m f j ( S j ) ,
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 8
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 9
0.2510
-3.0000
6.0000
0.2510
testing/wikipedia/v3/09470.html
ω ( X 1 , X 2 , , X n ) > 0.

Doc 10
0.2510
-3.0000
4.0000
0.7529
testing/wikipedia/v3/00479.html
R [ X 0 , X 1 , , X n - 1 ]
𝔞 R [ X 0 , X 1 , , X n - 1 ]
𝒜 R [ X 0 , X 1 , , X n - 1 ] / 𝔞
Doc 11
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 12
0.2510
-6.0000
6.0000
0.5019
testing/wikipedia/v3/03395.html
- 1 n log p ( X 1 , X 2 , , X n )
H ¯ n ( X ) = 1 n H ( X 1 , X 2 , , X n )

Doc 13
0.2510
-7.0000
6.0000
0.2510
testing/wikipedia/v3/25874.html
Y = f ( 𝐗 ) = f ( X 1 , X 2 , , X n )

Doc 14
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 15
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 16
0.2350
-6.0000
6.0000
0.2959
testing/wikipedia/v3/04743.html
Q = f ( X 1 , X 2 , X 3 , , X n )
X 1 , X 2 , X 3 , , X n

Doc 17
0.2254
-1.0000
8.0000
0.4507
testing/wikipedia/v3/26127.html
( α 1 , α 2 , , α k )
α = ( α 1 , α 2 , , α k )

Doc 18
0.2254
-1.0000
8.0000
0.4507
testing/wikipedia/v3/18140.html
( α 1 , α 2 , , α n )
α = ( α 1 , α 2 , , α n )

Doc 19
0.2254
-1.0000
8.0000
0.2254
testing/wikipedia/v3/27742.html
( α 1 , α 2 , , α n )

Doc 20
0.2254
-1.0000
6.0000
0.6140
testing/wikipedia/v3/09320.html
( X 1 , X 2 , , X d )
( X 1 i , X 2 i , , X d i ) ,  i = 1 , , n
𝔼 [ g ( X 1 , , X d ) ] 1 n k = 1 n g ( X 1 k , , X d k )
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/v3/06533.html
{ X 1 , X 2 , , X n }

Doc 23
0.2254
-1.0000
6.0000
0.2254
testing/wikipedia/v3/17374.html
( X 1 , X 2 , , X N )

Doc 24
0.2254
-3.0000
8.0000
0.2254
testing/wikipedia/v3/02771.html
α = ( α 1 , α 2 , , α n )

Doc 25
0.2254
-3.0000
8.0000
0.2254
testing/wikipedia/v3/16177.html
𝜶 = ( α 1 , α 2 , , α K )

Doc 26
0.2254
-3.0000
8.0000
0.2254
testing/wikipedia/v3/05791.html
α = ( α 1 , α 2 , , α n )

Doc 27
0.2254
-3.0000
8.0000
0.2254
testing/wikipedia/v3/24984.html
Δ = { α 1 , α 2 , , α n }

Doc 28
0.2254
-3.0000
8.0000
0.2254
testing/wikipedia/v3/18414.html
α = ( α 1 , α 2 , , α n )

Doc 29
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 30
0.2254
-3.0000
6.0000
0.2254
testing/wikipedia/v3/14559.html
X = ( X 1 , X 2 , , X n )

Doc 31
0.2254
-3.0000
6.0000
0.2254
testing/wikipedia/v3/13572.html
X = { X 1 , X 2 , , X r }

Doc 32
0.2254
-3.0000
6.0000
0.2254
testing/wikipedia/v3/17633.html
𝐗 = { X 1 , X 2 , , X n }

Doc 33
0.2254
-3.0000
6.0000
0.2254
testing/wikipedia/v3/27117.html
Ω = { X 1 , X 2 , , X n }

Doc 34
0.2254
-5.0000
4.0000
0.2254
testing/wikipedia/v3/21589.html
X = ( X 0 , X 1 , , X M - 1 )

Doc 35
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 36
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 37
0.2034
-18.0000
7.0000
0.4031
testing/wikipedia/v3/22724.html
H { 𝐗 } = lim n H ( X 0 , X 1 , , X n - 1 , X n ) n + 1 .
H ( X n | X 0 , X 1 , , X n - 1 )

Doc 38
0.1892
-4.0000
5.0000
0.3688
testing/wikipedia/v3/25042.html
𝐗 = ( X 1 , X 2 , X k )
d i ( X ) = Y ( X 1 , , X i - 1 , X i + Δ , X i + 1 , , X k ) - Y ( 𝐗 ) Δ

Doc 39
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 40
0.1827
-2.0000
5.0000
0.1827
testing/wikipedia/v3/27942.html
{ X 1 , X 2 , X 3 , }

Doc 41
0.1827
-4.0000
5.0000
0.1827
testing/wikipedia/v3/14883.html
𝐗 = ( X 1 , X 2 , X 3 , )

Doc 42
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 43
0.1637
-4.0000
4.0000
0.1637
testing/wikipedia/v3/17584.html
X = ( X 1 , X 2 , X 3 )

Doc 44
0.1633
-12.0000
4.0000
0.2702
testing/wikipedia/v3/08445.html
e k ( X 1 , , X n ) = m α ( X 1 , , X n )
i = 0 k ( - 1 ) i e i ( X 1 , , X n ) h k - i ( X 1 , , X n ) = 0

Doc 45
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 46
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 47
0.1409
-20.0000
5.0000
0.1409
testing/wikipedia/v3/26589.html
P ( X 0 , , X n ) X 0 d e g ( P ) P ( 1 , X 1 , , X n )

Doc 48
0.1382
-4.0000
3.0000
0.1382
testing/wikipedia/v3/23516.html
( X 1 , X 2 , X n )

Doc 49
0.1356
-14.0000
5.0000
0.1356
testing/wikipedia/v3/08163.html
X t = { , X t - 1 , X t , X t + 1 , }

Doc 50
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 51
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 52
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 )