Returned 88 matches (100 formulae, 60 docs)
    Lookup 0.634 ms, Re-ranking 51.970 ms
    Found 173 tuple postings, 102 formulae, 61 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
1.0000
0.0000
2.0000
4.0000
testing/wikipedia/v3/25067.html
b 3
a 2 + b 3
a 3 + b 3 + c 3 = a 1 + c 1
2 a 3 × b 3 a 3 + b 3 + c 3 = d

Doc 2
1.0000
0.0000
2.0000
3.0000
testing/wikipedia/v3/09205.html
b 3
b 3 = b 3 - b 2 = [ 3 5 6 ] - [ - 1 0 2 ] = [ 4 5 4 ]
b 3 = b 3 - 5 b 1 = [ 3 5 6 ] - [ 5 5 5 ] = [ - 2 0 1 ]
Doc 3
1.0000
0.0000
2.0000
2.0000
testing/wikipedia/v3/23061.html
b 3
μ 2 u 3 + b 3 ( x 1 , x 2 ) = 0

Doc 4
1.0000
0.0000
2.0000
2.0000
testing/wikipedia/v3/11331.html
b 3
b 3 = B / ( 1 + ( o 3 / o 1 ) + ( o 3 / o 2 ) )

Doc 5
1.0000
0.0000
2.0000
1.0000
testing/wikipedia/v3/22206.html
b 3

Doc 6
1.0000
0.0000
2.0000
1.0000
testing/wikipedia/v3/09139.html
b 3

Doc 7
1.0000
-2.0000
2.0000
5.0000
testing/wikipedia/v3/12973.html
a 0 b 3
a 1 b 3
a 2 b 3
a 3 b 3
b 3 b 2 b 1 b 0

Doc 8
1.0000
-2.0000
2.0000
2.0000
testing/wikipedia/v3/12974.html
a 2 b 3
b 3 b 2 b 1 b 0

Doc 9
1.0000
-6.0000
2.0000
4.0000
testing/wikipedia/v3/07428.html
a 3 = b 2 - b 3
b 1 = b 2 = b 3
a 1 = b 3 - b 1
c 1 = b 1 [ v 1 , v 2 ] + b 2 [ v 2 , v 3 ] + b 3 [ v 3 , v 1 ]

Doc 10
1.0000
-6.0000
2.0000
2.0000
testing/wikipedia/v3/04021.html
b 1 , b 2 , b 3
β = b 0 + b 1 𝐢 + b 2 𝐣 + b 3 𝐤

Doc 11
1.0000
-6.0000
2.0000
1.0000
testing/wikipedia/v3/04942.html
b 3 = b 1 × b 2

Doc 12
1.0000
-9.0000
2.0000
2.0000
testing/wikipedia/v3/25261.html
a 2 , b 2 , a 3 , b 3
a 1 b 1 + a 2 b 2 = a 3 b 3

Doc 13
1.0000
-9.0000
2.0000
1.0000
testing/wikipedia/v3/27895.html
b 1 , b 2 , b 3 , b 4

Doc 14
1.0000
-10.0000
2.0000
2.0000
testing/wikipedia/v3/09352.html
n = 1 b 1 b 2 b 3 b m
f ( n ) = b 1 b 2 b 3 b m 1

Doc 15
1.0000
-10.0000
2.0000
1.0000
testing/wikipedia/v3/15978.html
a 31 x 1 + a 32 x 2 b 3

Doc 16
1.0000
-10.0000
2.0000
1.0000
testing/wikipedia/v3/12538.html
0 < b 1 b 2 b 3

Doc 17
1.0000
-10.0000
2.0000
1.0000
testing/wikipedia/v3/21874.html
{ b 0 ,  b 1 ,  b 2 ,  b 3 }

Doc 18
1.0000
-10.0000
2.0000
1.0000
testing/wikipedia/v3/25587.html
b 1 b 3 b 5 b 2 n - 1

Doc 19
1.0000
-11.0000
2.0000
4.0000
testing/wikipedia/v3/07851.html
b ^ 2 b ^ 3 = b ^ 3 b ^ 2
: b ^ 3 b ^ 2 b ^ 1 : = b ^ 1 b ^ 2 b ^ 3
: b ^ 1 b ^ 2 b ^ 3 : = b ^ 1 b ^ 2 b ^ 3
: b ^ 2 b ^ 1 b ^ 3 : = b ^ 1 b ^ 2 b ^ 3

Doc 20
1.0000
-11.0000
2.0000
2.0000
testing/wikipedia/v3/09452.html
x = b 0 . b 1 b 2 b 3 .
b 0 . b 1 b 2 b 3 b 4 b 5 .

Doc 21
1.0000
-11.0000
2.0000
1.0000
testing/wikipedia/v3/22385.html
𝐛 = b 1 𝐢 + b 2 𝐣 + b 3 𝐤

Doc 22
1.0000
-12.0000
2.0000
2.0000
testing/wikipedia/v3/06137.html
b 3 = f ( 0 , 1 ) - f ( 0 , 0 )
b 1 + b 2 x + b 3 y + b 4 x y

Doc 23
1.0000
-13.0000
2.0000
1.0000
testing/wikipedia/v3/05344.html
b 3 [ - 0.64793 - 0.40045 - 0.64793 ] ,  μ 3 5.2361

Doc 24
1.0000
-14.0000
2.0000
6.0000
testing/wikipedia/v3/01080.html
𝐛 = b 1 𝐞 1 + b 2 𝐞 2 + b 3 𝐞 3
a 1 = b 1 ,  a 2 = b 2 ,  a 3 = b 3 .
𝐚 𝐛 = a 1 b 1 + a 2 b 2 + a 3 b 3 .
( 𝐚 𝐛 𝐜 ) = | ( a 1 a 2 a 3 b 1 b 2 b 3 c 1 c 2 c 3 ) |
𝐚 + 𝐛 = ( a 1 + b 1 ) 𝐞 1 + ( a 2 + b 2 ) 𝐞 2 + ( a 3 + b 3 ) 𝐞 3 .
𝐚 - 𝐛 = ( a 1 - b 1 ) 𝐞 1 + ( a 2 - b 2 ) 𝐞 2 + ( a 3 - b 3 ) 𝐞 3 .
Doc 25
1.0000
-14.0000
2.0000
2.0000
testing/wikipedia/v3/09725.html
S 32 = b 3 a 2 = V 3 - V 2 +
S 33 = b 3 a 3 = V 3 - V 3 +

Doc 26
1.0000
-14.0000
2.0000
1.0000
testing/wikipedia/v3/02356.html
χ = b 0 - b 1 + b 2 - b 3 + .

Doc 27
1.0000
-14.0000
2.0000
1.0000
testing/wikipedia/v3/29165.html
a 3 , 1 x 1 + a 3 , 2 x 2 = b 3

Doc 28
1.0000
-15.0000
2.0000
2.0000
testing/wikipedia/v3/05524.html
b 3 = 3 y 2 - y 1 ( x 2 - x 1 ) 2
[ a 11 a 12 0 a 21 a 22 a 23 0 a 32 a 33 ] [ k 0 k 1 k 2 ] = [ b 1 b 2 b 3 ]

Doc 29
1.0000
-15.0000
2.0000
1.0000
testing/wikipedia/v3/07382.html
a 1 + a 2 + a 3 b 1 + b 2 + b 3

Doc 30
1.0000
-16.0000
2.0000
1.0000
testing/wikipedia/v3/10014.html
b 3 = 3 a 0 + 1 a 1 + 1 a 2 + 2 a 3

Doc 31
1.0000
-16.0000
2.0000
1.0000
testing/wikipedia/v3/05771.html
K = b 1 - b 2 + b 3 - b 4 + 9 ( mod 9 )

Doc 32
1.0000
-17.0000
2.0000
2.0000
testing/wikipedia/v3/01487.html
a 0 + b 1 a 1 + b 2 a 2 + b 3
x = b 0 + a 1 b 1 + a 2 b 2 + a 3 b 3 + a 4 b 4 +

Doc 33
1.0000
-17.0000
2.0000
1.0000
testing/wikipedia/v3/03434.html
ϕ ( z ) = b 1 z + b 3 z 3 + b 5 z 5 +

Doc 34
1.0000
-17.0000
2.0000
1.0000
testing/wikipedia/v3/06442.html
𝐚 𝐛 = [ a 1 a 2 a 3 ] [ b 1 b 2 b 3 ] .

Doc 35
1.0000
-17.0000
2.0000
1.0000
testing/wikipedia/v3/04043.html
[ 1 0 0 0 b 1 0 1 0 0 b 2 0 0 0 1 b 3 ]

Doc 36
1.0000
-17.0000
2.0000
1.0000
testing/wikipedia/v3/27063.html
a 1 b 1 + a 2 b 2 + a 3 b 3 +

Doc 37
1.0000
-17.0000
2.0000
1.0000
testing/wikipedia/v3/00497.html
b 3 = 2 , b 2 = 0 , b 1 = 2 , b 0 = 5

Doc 38
1.0000
-18.0000
2.0000
2.0000
testing/wikipedia/v3/23197.html
Y = b 0 + b 1 A + b 2 B + b 3 A * B + ε
Y = b 0 + b 1 x 1 + b 2 x 2 + b 3 ( x 1 × x 2 ) + ε

Doc 39
1.0000
-19.0000
2.0000
5.0000
testing/wikipedia/v3/13721.html
( a 1 b 4 + a 2 b 3 - a 3 b 2 + a 4 b 1 ) 2
( a 1 b 3 - a 2 b 4 + a 3 b 1 + a 4 b 2 ) 2 +
( a 1 b 2 + a 2 b 1 + a 3 b 4 - a 4 b 3 ) 2 +
( a 1 b 1 - a 2 b 2 - a 3 b 3 - a 4 b 4 ) 2 +
( a 1 2 + a 2 2 + a 3 2 + a 4 2 ) ( b 1 2 + b 2 2 + b 3 2 + b 4 2 ) =

Doc 40
1.0000
-19.0000
2.0000
2.0000
testing/wikipedia/v3/03263.html
b 0 0 + b 1 1 + b 2 2 + b 3 3 = 0
b 0 1 + b 1 1 + b 2 1 + b 3 1 = 0

Doc 41
1.0000
-19.0000
2.0000
1.0000
testing/wikipedia/v3/09121.html
𝐚 × 𝐛 = det [ 𝐢 𝐣 𝐤 a 1 a 2 a 3 b 1 b 2 b 3 ]

Doc 42
1.0000
-20.0000
2.0000
10.0000
testing/wikipedia/v3/03111.html
u 1 = b 1 2 b 4 - 2 b 1 b 2 b 3 - b 2 2 b 4
( a 1 b 4 + a 2 b 3 + a 3 b 2 + a 4 b 1 ) 2 +
( a 1 b 4 + a 2 b 3 - a 3 b 2 + a 4 b 1 ) 2 .
( a 1 b 3 - a 2 b 4 + a 3 b 1 + a 4 b 2 ) 2 +
( a 1 b 3 - a 2 b 4 + a 3 b 1 - a 4 b 2 ) 2 +
( a 1 b 2 + a 2 b 1 + a 3 b 4 - a 4 b 3 ) 2 +
( a 1 b 1 - a 2 b 2 - a 3 b 3 - a 4 b 4 ) 2 +
u 2 = b 1 2 b 3 + 2 b 1 b 2 b 4 - b 2 2 b 3
u 1 2 + u 2 2 = ( b 1 2 + b 2 2 ) 2 ( b 3 2 + b 4 2 )
( a 1 2 + a 2 2 + a 3 2 + a 4 2 ) ( b 1 2 + b 2 2 + b 3 2 + b 4 2 ) =

Doc 43
1.0000
-20.0000
2.0000
1.0000
testing/wikipedia/v3/02457.html
𝐚 × 𝐛 = det [ 𝐢 𝐣 𝐤 a 1 a 2 a 3 b 1 b 2 b 3 ] .

Doc 44
1.0000
-21.0000
2.0000
1.0000
testing/wikipedia/v3/02370.html
𝐚 𝐛 = 𝐚 T 𝐛 = [ a 1 a 2 a 3 ] [ b 1 b 2 b 3 ] .

Doc 45
1.0000
-22.0000
2.0000
3.0000
testing/wikipedia/v3/06432.html
x = b 0 + a 1 b 1 + a 2 b 2 + a 3 b 3 +
x = b 0 + a 1 b 1 + a 2 b 2 + a 3 b 3 +
x = b 0 + a 1 b 1 + a 2 b 2 + a 3 b 3 + a 4 b 4 +
Doc 46
1.0000
-22.0000
2.0000
2.0000
testing/wikipedia/v3/08295.html
𝐚 𝐛 = a 1 b 1 + a 2 b 2 + a 3 b 3 + a 4 b 4 .
𝐚 𝐛 = a 1 b 1 + a 2 b 2 + a 3 b 3 - a 4 b 4 .

Doc 47
1.0000
-22.0000
2.0000
1.0000
testing/wikipedia/v3/00803.html
V = | det [ a 1 a 2 a 3 b 1 b 2 b 3 c 1 c 2 c 3 ] | .

Doc 48
1.0000
-23.0000
2.0000
4.0000
testing/wikipedia/v3/23603.html
b 3 = 15 , 00 + 17 × 41 - 32 × 59 31 = 309 31 = 10  with remainder  - 1.
b 3 = r 2 , c 4 - b 2 × a 2 - b 1 × a 3 a 1  with remainder  r 3
1 π = 10 , 00 , 00 31 , 41 , 59 = b 1 , b 2 , b 3 = b
b 4 = r 3 , c 5 - b 3 × a 2 - b 2 × a 3 - b 1 × a 4 a 1  with remainder  r 4

Doc 49
1.0000
-23.0000
2.0000
1.0000
testing/wikipedia/v3/27363.html
f t ( z ) = e t ( z + b 2 ( t ) z 2 + b 3 ( t ) z 3 + )

Doc 50
1.0000
-23.0000
2.0000
1.0000
testing/wikipedia/v3/16012.html
x = 1 1 + a 2 b 2 + a 3 b 3 + a 4 b 4 +

Doc 51
1.0000
-24.0000
2.0000
1.0000
testing/wikipedia/v3/03852.html
Q ( x ) = ( x - x 1 ) ( b 3 x 3 + b 2 x 2 + b 1 x + b 0 )

Doc 52
1.0000
-25.0000
2.0000
1.0000
testing/wikipedia/v3/25231.html
C 1 = [ b 1 , 0 b 2 , 0 b 3 , 0 b m - 1 , 0 b m , 0 ]

Doc 53
1.0000
-26.0000
2.0000
1.0000
testing/wikipedia/v3/07156.html
𝐚 ( 𝐛 × 𝐜 ) = det [ a 1 a 2 a 3 b 1 b 2 b 3 c 1 c 2 c 3 ] .

Doc 54
1.0000
-26.0000
2.0000
1.0000
testing/wikipedia/v3/07756.html
b 3 = B 3 ( a 1 , a 2 , a 3 ) = a 3 + 3 a 2 a 1 + a 1 3 ,

Doc 55
1.0000
-26.0000
2.0000
1.0000
testing/wikipedia/v3/27301.html
g ( z ) = f ( z 2 ) - 1 / 2 = z + b 1 z - 1 + b 3 z - 3 +

Doc 56
1.0000
-27.0000
2.0000
1.0000
testing/wikipedia/v3/23565.html
[ a 1 , b 1 , c 1 ] ,   [ a 2 , b 2 , c 2 ] ,   [ a 3 , b 3 , c 3 ]

Doc 57
1.0000
-27.0000
2.0000
1.0000
testing/wikipedia/v3/02606.html
I 1 × I 2 × I 3 = [ a 1 , b 1 ] × [ a 2 , b 2 ] × [ a 3 , b 3 ]

Doc 58
1.0000
-29.0000
2.0000
1.0000
testing/wikipedia/v3/15937.html
x = b 0 + a 1 b 1 + a 2 b 2 + a 3 b 3 + a 4 b 4 + .

Doc 59
1.0000
-30.0000
2.0000
1.0000
testing/wikipedia/v3/29476.html
B ( a 1 , b 1 - b 3 ) = B ( a 1 , b 1 - b 2 ) B ( a 2 , b 2 - b 3 ) ,

Doc 60
1.0000
-31.0000
2.0000
1.0000
testing/wikipedia/v3/09465.html
c 1 = a 1 + b 1 c 2 = a 2 + b 2 c 3 = a 3 + b 3 c 4 = a 4 + b 4