Returned 93 matches (100 formulae, 80 docs)
    Lookup 11.889 ms, Re-ranking 0.154 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

0.3154
W ( n , N ) = ( N n ) = N ! n ! ( N - n ) !

0.2932
( p n ) = p ! n ! ( p - n ) ! .

0.2867
f ( p ) = ( n + 1 ) ! s ! ( n - s ) ! p s ( 1 - p ) n - s .

0.2734
p n ( k ) = n ! ( n - k ) ! k ! p k ( 1 - p ) n - k .

0.2469
f ( p ) = ( n + 1 ) ! k ! ( n - k ) ! p k ( 1 - p ) n - k for 0 p 1

0.2353
( N N R ) = N ! N R ! ( N - N R ) !

0.2330
Ω c o n f = N S ! N ! ( N S - N ) !

0.2295
w ( n i , g i ) = g i ! n i ! ( g i - n i ) ! .

0.2066
n ! ( n - k ) ! k ! p k ( 1 - p ) n - k e - λ λ k k ! .

0.2061
s 2 = n p ( 1 - p )

0.2021
( n p ) = n ! p ! ( n - p ) !

0.2000
| C k | c k ! n ! ( k - n ) !

0.1921
Ω = ( q + N - 1 ) ! q ! ( N - 1 ) !

0.1889
Var [ X ] = n p ( 1 - p ) .

0.1809
( n i ) = n ! i ! ( n - i ) !
( n k ) = n ! k ! ( n - k ) !
( n m ) = n ! m ! ( n - m ) !
( n r ) = n ! r ! ( n - r ) !

0.1803
w ( n , g ) = ( n + g - 1 ) ! n ! ( g - 1 ) ! .

0.1780
( n i ) = n ! i ! ( n - i ) ! ,
( n k ) = n ! k ! ( n - k ) ! ,
( n k ) = n ! k ! ( n - k ) ! .
0.1775
α = 4 p ( 1 - p ) .

0.1746
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 ] +

0.1744
V a r ( X ) = n p ( 1 - p )

0.1734
2 N p K ( 1 - p ) N - K W .

0.1726
var ( X i ) = n p i ( 1 - p i ) .

0.1724
s 2 = a p b ( 1 - p ) c

0.1722
f ( k ) = ( n k ) p k ( 1 - p ) n - k

0.1720
Γ ( r + k ) k ! Γ ( r ) p r ( 1 - p ) k

0.1683
D f = L ! N f ! ( L - N f ) ! .

0.1674
p ( k ) = ( n k ) p k ( 1 - p ) n - k ,

0.1667
( N n A ) = N ! n A ! n B !

0.1658
1 - 6 p ( 1 - p ) n p ( 1 - p )

0.1603
P ( [ ω 1 , ω 2 , , ω n ] ) = p k ( 1 - p ) n - k

0.1600
D b = ( N b + L - 1 ) ! N b ! ( L - 1 ) !

0.1596
d p d t = m p ( 1 - p ) - e p

0.1589
n p ( 1 - p )

0.1586
Var ( Z ) = n p ¯ ( 1 - p ¯ ) - n s 2 ,

0.1538
p ^ ± z 1 n p ^ ( 1 - p ^ )

0.1529
p ( 1 - p ) n f ( x p ) 2

0.1509
p d i ( 1 - p ) n i b - d i 2 - ( N - n i ) b

0.1495
p ~ ± z 1 n ~ p ~ ( 1 - p ~ )

0.1494
X - n p n p ( 1 - p )

0.1478
( n k ) = n ! k ! ( n - k ) ! for 0 k n ,

0.1469
P ( k ) = ( n - 1 k ) p k ( 1 - p ) n - 1 - k ,

0.1463
E ( R ( S ) ) = i = 0 n p i ( 1 - p ) n - i r i ,

0.1455
p M ( 1 - p ) ( n 2 ) - M .

0.1449
W = N ! n 1 ! n 2 ! n m !

0.1447
p x ( 1 - p y )

0.1441
N = ( t e ) = t ! e ! ( t - e ) ! .

0.1429
( n k ) p k ( 1 - p ) n - k

0.1418
D = v a r o b s v a r b i n = s 2 n p ( 1 - p )

0.1413
n ! ( k - 1 ) ! ( n - k ) ! u k - 1 ( 1 - u ) n - k d u + O ( d u 2 ) ,

0.1412
P ( deg ( v ) = k ) = ( n - 1 k ) p k ( 1 - p ) n - 1 - k

0.1412
L ( θ ; A , B ) = ( A + B ) ! A ! B ! θ A ( 1 - θ ) B ,

0.1411
N ( k , n ) = ( n k ) = n ! k ! ( n - k ) !

0.1404
( n k ) p k ( 1 - p ) n - k .

0.1402
d p 1 d t = m 1 p 1 ( 1 - p 1 ) - e p 1

0.1395
n p , n p ( 1 - p )

0.1387
N x N = ( 1 - p ) p x - 1

0.1379
P ( deg ( v ) = k ) = ( n - 1 k ) p k ( 1 - p ) n - 1 - k ,

0.1379
( n n ) = n ! n ! 0 ! = 1

0.1372
P ( X 1 = ω 1 , X 2 = ω 2 , , X n = ω n ) = p k ( 1 - p ) n - k

0.1366
( 1 - p x ) ( 1 - p y )

0.1348
p p = 1 - ( 1 - p e ) N

0.1344
f X ( k ) ( x ) = n ! ( k - 1 ) ! ( n - k ) ! [ F X ( x ) ] k - 1 [ 1 - F X ( x ) ] n - k f X ( x )

0.1342
( 1 - p x ) p y

0.1342
p 3 ( 1 - p ) 9

0.1341
n ! k ! ( n - k ) !
n ! m ! ( n - m ) !

0.1340
N e ( v ) = p ( 1 - p ) 2 var ^ ( p ) .

0.1333
( 64 8 ) = 64 ! 8 ! ( 64 - 8 ) ! = 4 , 426 , 165 , 368.

0.1326
𝒩 ( n p , n p ( 1 - p ) ) ,

0.1325
2 p ( 1 - p )
F p ( 1 - p )

0.1325
p ( 1 - p )

0.1316
1 p ( 1 - p )

0.1316
p 1 ( 1 - p 2 )

0.1310
n t = K n 0 n 0 + ( K - n 0 ) R 0 - t .

0.1306
\Q ( k ; p ) = ( N - 2 k - 1 ) p ( k - 1 ) ( 1 - p ) ( N - k - 1 )

0.1299
r p 2 ( 1 - p )

0.1294
v a r ( p ) = p ( 1 - p ) n

0.1281
w ( n , 2 ) = ( n + 1 ) ! n ! 1 ! .

0.1277
f ( k ) = p k ( 1 - p ) 1 - k

0.1266
1 n K ( N - K ) ( N - n ) ( N - 2 ) ( N - 3 )

0.1266
1 p ( 1 - p )

0.1257
g ( k ; p ) = p ( 1 - p ) k - 1

0.1250
p 1 p 2 ( 1 - p 3 )

0.1250
Standard error p ( 1 - p ) n

0.1246
E [ X i = H k out of n times ] = P ( k , n ) = ( n k ) p k ( 1 - p ) n - k

0.1243
s p = p ( 1 - p ) n

0.1241
f ( k ; n , p ) = Pr ( X = k ) = ( n k ) p k ( 1 - p ) n - k

0.1241
k = 0 n ( k + a ) ! k ! a ! = ( n + a + 1 ) ! n ! ( a + 1 ) ! .

0.1240
n ! ( n - r ) ! r ! μ r ( 1 - μ ) n - r e - λ λ r r ! .

0.1229
g n ( p ) = n p ( 1 - p )

0.1229
F S T = var ( 𝐩 ) p ( 1 - p )

0.1224
f ( r | H = h , T = t ) = ( h + t + 1 ) ! h ! t ! r h ( 1 - r ) t .

0.1220
c ! s ! ( c - s ) !