Returned 90 matches (100 formulae, 80 docs)
    Lookup 11.889 ms, Re-ranking 1336.288 ms
    Found 149682 tuple postings, 83810 formulae, 16394 documents
[ formulas ] [ documents ] [ documents-by-formula ]

1.0000
P i x = N ! n x ! ( N - n x ) ! p x n x ( 1 - p x ) N - n x

0.3210
W ( n , N ) = ( N n ) = N ! n ! ( N - n ) !

0.3005
( p n ) = p ! n ! ( p - n ) ! .

0.2918
f ( p ) = ( n + 1 ) ! s ! ( n - s ) ! p s ( 1 - p ) n - s .

0.2558
p n ( k ) = n ! ( n - k ) ! k ! p k ( 1 - p ) n - k .

0.2515
f ( p ) = ( n + 1 ) ! k ! ( n - k ) ! p k ( 1 - p ) n - k for 0 p 1

0.2427
( N N R ) = N ! N R ! ( N - N R ) !

0.2404
Ω c o n f = N S ! N ! ( N S - N ) !

0.2358
w ( n i , g i ) = g i ! n i ! ( g i - n i ) ! .

0.2079
| C k | c k ! n ! ( k - n ) !

0.1916
s 2 = n p ( 1 - p )

0.1905
Ω = ( q + N - 1 ) ! q ! ( N - 1 ) !

0.1885
n ! ( n - k ) ! k ! p k ( 1 - p ) n - k e - λ λ k k ! .

0.1871
α = 4 p ( 1 - p ) .

0.1870
w ( n , g ) = ( n + g - 1 ) ! n ! ( g - 1 ) ! .

0.1829
2 N p K ( 1 - p ) N - K W .

0.1818
s 2 = a p b ( 1 - p ) c

0.1809
Γ ( r + k ) k ! Γ ( r ) p r ( 1 - p ) k

0.1801
f ( k ) = ( n k ) p k ( 1 - p ) n - k

0.1789
( n m ) = n ! m ! ( n - m ) !
( n p ) = n ! p ! ( n - p ) !
( n k ) = n ! k ! ( n - k ) !
( n r ) = n ! r ! ( n - r ) !
( n i ) = n ! i ! ( n - i ) !

0.1779
C 0 N = ( 1 + r ) - N n = 0 N N ! n ! ( N - n ) ! q n ( 1 - q ) N - n [ S 0 ( 1 + b ) n ( 1 + a ) N - n - K ] +

0.1762
( n k ) = n ! k ! ( n - k ) ! ,
( n k ) = n ! k ! ( n - k ) ! .
( n i ) = n ! i ! ( n - i ) ! ,
0.1758
Var [ X ] = n p ( 1 - p ) .

0.1758
( N n A ) = N ! n A ! n B !

0.1751
p ( k ) = ( n k ) p k ( 1 - p ) n - k ,

0.1684
d p d t = m p ( 1 - p ) - e p

0.1667
D f = L ! N f ! ( L - N f ) ! .

0.1624
V a r ( X ) = n p ( 1 - p )

0.1619
p ^ ± z 1 n p ^ ( 1 - p ^ )

0.1608
var ( X i ) = n p i ( 1 - p i ) .

0.1590
P ( [ ω 1 , ω 2 , , ω n ] ) = p k ( 1 - p ) n - k

0.1574
p ~ ± z 1 n ~ p ~ ( 1 - p ~ )

0.1558
p x ( 1 - p y )

0.1557
p M ( 1 - p ) ( n 2 ) - M .

0.1538
P ( k ) = ( n - 1 k ) p k ( 1 - p ) n - 1 - k ,

0.1532
E ( R ( S ) ) = i = 0 n p i ( 1 - p ) n - i r i ,

0.1531
W = N ! n 1 ! n 2 ! n m !

0.1529
( n k ) p k ( 1 - p ) n - k

0.1518
N = ( t e ) = t ! e ! ( t - e ) ! .

0.1503
( n k ) p k ( 1 - p ) n - k .

0.1498
D b = ( N b + L - 1 ) ! N b ! ( L - 1 ) !

0.1481
d p 1 d t = m 1 p 1 ( 1 - p 1 ) - e p 1

0.1479
P ( deg ( v ) = k ) = ( n - 1 k ) p k ( 1 - p ) n - 1 - k

0.1477
( n n ) = n ! n ! 0 ! = 1

0.1466
( n k ) = n ! k ! ( n - k ) ! for 0 k n ,

0.1457
( 1 - p x ) p y

0.1457
p 3 ( 1 - p ) 9

0.1445
P ( deg ( v ) = k ) = ( n - 1 k ) p k ( 1 - p ) n - 1 - k ,

0.1444
p p = 1 - ( 1 - p e ) N

0.1438
p ( 1 - p )

0.1438
2 p ( 1 - p )
F p ( 1 - p )
n p ( 1 - p )
0.1429
p 1 ( 1 - p 2 )

0.1429
1 p ( 1 - p )

0.1410
r p 2 ( 1 - p )

0.1405
( 64 8 ) = 64 ! 8 ! ( 64 - 8 ) ! = 4 , 426 , 165 , 368.

0.1402
n ! ( k - 1 ) ! ( n - k ) ! u k - 1 ( 1 - u ) n - k d u + O ( d u 2 ) ,

0.1401
L ( θ ; A , B ) = ( A + B ) ! A ! B ! θ A ( 1 - θ ) B ,

0.1399
N ( k , n ) = ( n k ) = n ! k ! ( n - k ) !

0.1397
Var ( Z ) = n p ¯ ( 1 - p ¯ ) - n s 2 ,

0.1385
n t = K n 0 n 0 + ( K - n 0 ) R 0 - t .

0.1375
1 p ( 1 - p )

0.1371
N x N = ( 1 - p ) p x - 1

0.1368
f ( k ) = p k ( 1 - p ) 1 - k

0.1362
P ( X 1 = ω 1 , X 2 = ω 2 , , X n = ω n ) = p k ( 1 - p ) n - k

0.1358
p 1 p 2 ( 1 - p 3 )

0.1350
( 1 - p x ) ( 1 - p y )

0.1347
g ( k ; p ) = p ( 1 - p ) k - 1

0.1325
c ! s ! ( c - s ) !
n ! m ! ( n - m ) !
n ! k ! ( n - k ) !
0.1306
E [ X i = H k out of n times ] = P ( k , n ) = ( n k ) p k ( 1 - p ) n - k

0.1304
k = 0 n ( k + a ) ! k ! a ! = ( n + a + 1 ) ! n ! ( a + 1 ) ! .

0.1301
f ( k ; n , p ) = Pr ( X = k ) = ( n k ) p k ( 1 - p ) n - k

0.1283
f X ( k ) ( x ) = n ! ( k - 1 ) ! ( n - k ) ! [ F X ( x ) ] k - 1 [ 1 - F X ( x ) ] n - k f X ( x )

0.1279
p ( 1 - p ) n f ( x p ) 2

0.1268
w ( n , 2 ) = ( n + 1 ) ! n ! 1 ! .

0.1264
n p , n p ( 1 - p )

0.1250
X - n p n p ( 1 - p )

0.1236
Standard error p ( 1 - p ) n

0.1229
s p = p ( 1 - p ) n

0.1216
f ( r | H = h , T = t ) = ( h + t + 1 ) ! h ! t ! r h ( 1 - r ) t .

0.1215
g n ( p ) = n p ( 1 - p )

0.1215
F S T = var ( 𝐩 ) p ( 1 - p )

0.1202
𝒩 ( n p , n p ( 1 - p ) ) ,

0.1128
1 - 6 p ( 1 - p ) n p ( 1 - p )

0.1122
N e ( v ) = p ( 1 - p ) 2 var ^ ( p ) .

0.1092
\Q ( k ; p ) = ( N - 2 k - 1 ) p ( k - 1 ) ( 1 - p ) ( N - k - 1 )

0.1084
v a r ( p ) = p ( 1 - p ) n

0.1066
n ! ( n - r ) ! r ! μ r ( 1 - μ ) n - r e - λ λ r r ! .

0.1028
p d i ( 1 - p ) n i b - d i 2 - ( N - n i ) b

0.0921
1 n K ( N - K ) ( N - n ) ( N - 2 ) ( N - 3 )

0.0815
D = v a r o b s v a r b i n = s 2 n p ( 1 - p )