Returned 94 matches (100 formulae, 81 docs)
    Lookup 434.350 ms, Re-ranking 2885.004 ms
    Found 1285716 tuple postings, 226251 formulae, 23811 documents
[ formulas ] [ documents ] [ documents-by-formula ]

1.0000
-1.0000
17.0000
L ( λ , α , s ) = n = 0 exp ( 2 π i λ n ) ( n + α ) s .

0.6651
-3.0000
11.0000
Φ ( z , s , q ) = k = 0 z k ( k + q ) s

0.6651
-4.0000
11.0000
Φ ( z , s , α ) = n = 0 z n ( n + α ) s .

0.6468
-1.0000
9.0000
ζ ( s , q ) = k = 0 1 ( k + q ) s
ζ ( s , a ) = n = 0 1 ( n + a ) s

0.6468
-4.0000
8.0000
ζ ( s , t ) = n = 1 H n , t ( n + 1 ) s

0.6429
-7.0000
10.0000
S ν ( x ) = k = 0 sin ( ( 2 k + 1 ) π x ) ( 2 k + 1 ) ν

0.6258
-8.0000
9.0000
Z ( P , Q , s ) = n = 1 f n ( P ) f n ( Q ) λ n s

0.5864
-3.0000
8.0000
NPV ( i , N ) = t = 0 N R t ( 1 + i ) t

0.5793
-16.0000
9.0000
Φ ( z , s , a ) = z n Φ ( z , s , a + n ) + k = 0 n - 1 z k ( k + a ) s

0.5470
-2.0000
8.0000
L ( s , χ ) = n = 1 χ ( n ) n s
L ( χ , s ) = n = 1 χ ( n ) n s

0.5470
-2.0000
8.0000
f ( x ) = n = 0 s ( 2 n x ) 2 n

0.5470
-2.0000
7.0000
NPV ( i ) = t = 0 N R t ( 1 + i ) t

0.5470
-3.0000
8.0000
blanc ( x ) = n = 0 s ( 2 n x ) 2 n ,

0.5470
-3.0000
8.0000
L ( s , χ ) = n = 1 χ ( n ) n s .

0.5470
-3.0000
8.0000
Z ( λ , ν ) = j = 0 λ j ( j ! ) ν .

0.5470
-4.0000
9.0000
ζ ( s , q ) = n = 0 1 ( q + n ) s .

0.5470
-7.0000
8.0000
χ ν ( z ) = k = 0 z 2 k + 1 ( 2 k + 1 ) ν .

0.5470
-14.0000
8.0000
ω ( z ) = n = 0 + q n ( ω a ) ( 1 + ω a ) 2 n - 1 ( z - a ) n n !

0.5470
-19.0000
9.0000
M ( a , b , z ) = n = 0 a ( n ) z n b ( n ) n ! = F 1 1 ( a ; b ; z ) ,

0.5291
-17.0000
8.0000
D q ( f ( x ) ) = k = 0 ( q - 1 ) k ( k + 1 ) ! x k f ( k + 1 ) ( x ) .

0.5240
-14.0000
7.0000
P = t = 1 N D 0 ( 1 + g ) t ( 1 + r ) t + P N ( 1 + r ) N

0.5076
-2.0000
7.0000
L ( s , Δ ) = n = 1 a n n s

0.5076
-3.0000
7.0000
L ( E , s ) = n = 1 a n n s .
L ( s , E ) = n = 1 a n n s .

0.5076
-4.0000
8.0000
ψ 1 ( z ) = n = 0 1 ( z + n ) 2 ,

0.5076
-5.0000
8.0000
β ( x ) = k = 0 ( - 1 ) k ( 2 k + 1 ) x

0.5076
-6.0000
8.0000
β ( s ) = n = 0 ( - 1 ) n ( 2 n + 1 ) s ,

0.4992
-3.0000
7.0000
f ( x ) = k = 1 sin ( 2 k x ) 2 k

0.4898
-7.0000
7.0000
L ( M , V , s ) = μ { M - 0 } / V sign N ( μ ) | N ( μ ) | s

0.4898
-9.0000
7.0000
f ( i 1 , , i n ) = k = 0 n i k f ( e k ) I p

0.4898
-15.0000
7.0000
G ( a , 0 , c ) = n = 0 c - 1 ( n c ) e 2 π i a n / c .

0.4681
-3.0000
7.0000
Mortgage Yield: ri such that P = n = 1 N C ( t ) ( 1 + r i / 1200 ) t - 1

0.4681
-13.0000
7.0000
[ G f ] ( x ) = n = 1 1 ( x + n ) 2 f ( 1 x + n ) .

0.4505
-7.0000
6.0000
H N , q , s = i = 1 N 1 ( i + q ) s

0.4505
-9.0000
8.0000
t n = m = 0 G m n ( m + 1 ) ( m + 2 ) .

0.4505
-9.0000
6.0000
n = 1 H n 2 ( n + 1 ) 2 = 11 360 π 4 ;

0.4505
-11.0000
6.0000
n = 1 H ¯ n ( b ) ( n + 1 ) a = ζ ( a , b ¯ )

0.4444
-4.0000
6.0000
P V = t = 1 n F V t ( 1 + i ) t

0.4444
-5.0000
7.0000
D P V = t = 0 N F V t ( 1 + r ) t

0.4444
-6.0000
7.0000
N P V = n = 0 N C n ( 1 + r ) n = 0

0.4444
-11.0000
7.0000
P V = k = 1 C ( 1 + i ) k = C i , i > 0 ,

0.4444
-14.0000
7.0000
H V [ i , n ] = k = 0 n - i d i v ( i + k ) ( 1 + r ) n - i - k

0.4444
-19.0000
7.0000
0 2 arctan ( t x ) e 2 π t - 1 d t = n = 1 c n ( x + 1 ) n ¯

0.4315
-7.0000
6.0000
Cl 2 m ( q π p ) = k = 1 sin ( k q π / p ) k 2 m

0.4286
-1.0000
6.0000
f ( x ) = i = 0 x 2 i

0.4286
-4.0000
6.0000
P 0 = t = 1 T C t ( 1 + r t ) t

0.4286
-5.0000
7.0000
NPV = t = 0 n C t ( 1 + r ) t = 0
NPV = n = 0 N C n ( 1 + r ) n = 0

0.4286
-5.0000
6.0000
w i = j = 2 n a j ( i + 1 ) j ,

0.4186
-14.0000
8.0000
Z = n = 0 ( ( 2 n ) ! ) 3 ( 42 n + 5 ) ( n ! ) 6 16 3 n + 1

0.4045
-7.0000
8.0000
sinh x = n = 0 x 2 n + 1 ( 2 n + 1 ) !

0.4045
-18.0000
8.0000
Z = n = 0 ( - 1 ) n ( 4 n ) ! ( 21460 n + 1123 ) ( n ! ) 4 4 4 n 882 2 n
Z = n = 0 ( - 1 ) n ( 4 n ) ! ( 260 n + 23 ) ( n ! ) 4 4 4 n 18 2 n

0.3890
-6.0000
7.0000
1 n = r = 1 1 ( n + 1 ) r .

0.3890
-8.0000
7.0000
cos ( φ ) = n = 0 ( - φ 2 ) n ( 2 n ) ! ,

0.3719
-1.0000
7.0000
n = 0 1 ( n + a )

0.3719
-4.0000
4.0000
φ ( x ) = i s i ( x - i ) k

0.3719
-8.0000
7.0000
n = 0 2 n + 3 ( n + 1 ) ( n + 2 )

0.3719
-13.0000
5.0000
ϑ 00 ( z , q ) = n = - q n 2 exp ( 2 π i n z )

0.3719
-14.0000
7.0000
n = 0 ( - 1 ) n ( n + 1 ) ( n + 2 ) = 2 ln 2 - 1.

0.3644
-4.0000
6.0000
L = P j = 1 n 1 ( 1 + i ) j

0.3493
-4.0000
6.0000
n = 1 $ 100 ( 1 + I ) n ,

0.3493
-5.0000
7.0000
k = 0 ( - 1 ) k ( z + k ) m + 1

0.3493
-5.0000
5.0000
1 Q = i = 1 r S i ( x - λ i ) ν i
P Q = j = 1 r A j ( x - λ j ) ν j

0.3493
-8.0000
8.0000
e = k = 0 3 - 4 k 2 ( 2 k + 1 ) !

0.3493
-9.0000
7.0000
ζ ( 3 ) = 8 7 k = 0 1 ( 2 k + 1 ) 3

0.3493
-9.0000
7.0000
k = 0 z 2 k + 1 ( 2 k + 1 ) ! = sinh z

0.3493
-13.0000
7.0000
k = 0 1 ( 2 k + 1 ) 2 = π 2 2 3 = π 2 8

0.3493
-16.0000
8.0000
sinc ( x ) = sin ( x ) x = n = 0 ( - x 2 ) n ( 2 n + 1 ) !

0.3493
-17.0000
7.0000
k = 0 1 ( 2 k + 1 ) 4 = 1 3 π 4 2 5 = π 4 96 .

0.3493
-23.0000
8.0000
n = 1 ( - 1 ) n + 1 n = n = 0 1 ( 2 n + 1 ) ( 2 n + 2 ) = ln 2.

0.3326
-10.0000
4.0000
g ( x ) = n = 1 f ( n ) exp ( 2 π i n x )

0.3326
-10.0000
3.0000
f ( α ) = x = 1 N exp ( 2 π i P ( x ) α ) ,

0.3326
-14.0000
5.0000
θ ^ F ( z ) = k = 0 R F ( k ) exp ( 2 π i k z ) ,

0.3241
-5.0000
7.0000
cosh x = n = 0 x 2 n ( 2 n ) !

0.3241
-6.0000
6.0000
λ = 0 ρ ( t ) ( t + 1 ) 2 d t

0.3096
-3.0000
6.0000
τ = i = 0 t i 2 i + 1

0.3096
-3.0000
6.0000
r = i = 0 a i 10 i

0.3096
-10.0000
7.0000
1 ( x ; q ) = n = 0 x n ( q ; q ) n

0.3096
-14.0000
7.0000
k = 0 ( - 1 ) k z 2 k + 1 ( 2 k + 1 ) ! = sin z

0.2932
-8.0000
4.0000
Φ ( exp ( 2 π i λ ) , s , α ) = L ( λ , α , s ) .

0.2932
-14.0000
5.0000
λ n = m ( 1 + n 2 ) k - 1 2 ( 1 + m 2 + n 2 ) k .

0.2932
-15.0000
6.0000
P m ( Δ , x ) = exp ( 2 π i m x ) sin ( π m Δ ) π m .

0.2932
-17.0000
4.0000
ϑ 0 , 0 ( x ) = n = - q n 2 exp ( 2 π i n x / a )

0.2835
-16.0000
8.0000
1 2 = k = 0 ( - 1 ) k ( π 4 ) 2 k ( 2 k ) ! .

0.2697
-9.0000
7.0000
e = k = 0 ( 3 k ) 2 + 1 ( 3 k ) !

0.2697
-12.0000
6.0000
π 2 sin 2 π z = n = - 1 ( z - n ) 2 .

0.2697
-22.0000
7.0000
( a x ; q ) ( x ; q ) = n = 0 ( a ; q ) n ( q ; q ) n x n .

0.2538
-2.0000
5.0000
q = exp ( 2 π i / N )

0.2538
-3.0000
5.0000
z = exp ( 2 π i / 3 ) .

0.2538
-7.0000
5.0000
S = p P exp ( 2 π i f ( p ) ) .

0.2538
-9.0000
5.0000
n = 1 k χ ( n ) exp ( 2 π i n / k ) .

0.2538
-10.0000
5.0000
θ F ( z ) = m Z n exp ( 2 π i z F ( m ) )

0.2143
-10.0000
4.0000
1 sin 2 ( z ) = n 1 ( z - n π ) 2

0.2143
-16.0000
5.0000
x l ( 1 - x ) l + 1 = p = 0 ( p l ) x p .

0.2143
-16.0000
5.0000
1 ( 1 - z ) α + 1 = n = 0 ( n + α n ) z n

0.2143
-16.0000
3.0000
1 ( 1 - 2 x t + t 2 ) α = n = 0 C n ( α ) ( x ) t n .