Returned 11 matches (11 formulae, 5 docs)
    Lookup 0.064 ms, Re-ranking 10.907 ms
    Found 11 tuple postings, 11 formulae, 5 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
1.0000
0.0000
2.0000
6.0000
testing/wikipedia/v3/27275.html
𝐦 1
( 𝐦 2 - 𝐦 1 )
𝐰 𝐒 W - 1 ( 𝐦 2 - 𝐦 1 ) .
𝐰 T 𝐒 B ϕ 𝐰 = 𝐰 T ( 𝐦 2 ϕ - 𝐦 1 ϕ ) ( 𝐦 2 ϕ - 𝐦 1 ϕ ) T 𝐰 = α T 𝐌 α ,
𝐒 B = ( 𝐦 2 - 𝐦 1 ) ( 𝐦 2 - 𝐦 1 ) T 𝐒 W = i = 1 , 2 n = 1 l i ( 𝐱 n i - 𝐦 i ) ( 𝐱 n i - 𝐦 i ) T .
𝐒 B ϕ = ( 𝐦 2 ϕ - 𝐦 1 ϕ ) ( 𝐦 2 ϕ - 𝐦 1 ϕ ) T 𝐒 W ϕ = i = 1 , 2 n = 1 l i ( ϕ ( 𝐱 n i ) - 𝐦 i ϕ ) ( ϕ ( 𝐱 n i ) - 𝐦 i ϕ ) T ,
Doc 2
1.0000
-53.0000
2.0000
1.0000
testing/wikipedia/v3/28742.html
{ 𝒎 } = { 𝐦 1 = 𝐱 ^ 1 = [ 1 , 0 , 0 ] to applied tension 𝐦 2 = 𝐱 ^ 2 = [ 0 , 1 , 0 ] to applied tension 𝐦 3 = 𝐱 ^ 3 = [ 0 , 0 , 1 ] to 𝐍

Doc 3
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-56.0000
2.0000
2.0000
testing/wikipedia/v3/05465.html
𝐅 = 3 μ 0 4 π r 4 [ ( 𝐫 ^ × 𝐦 1 ) × 𝐦 2 + ( 𝐫 ^ × 𝐦 2 ) × 𝐦 1 - 2 𝐫 ^ ( 𝐦 1 𝐦 2 ) + 5 𝐫 ^ ( 𝐫 ^ × 𝐦 1 ) ( 𝐫 ^ × 𝐦 2 ) ] .
𝐅 ( 𝐫 , 𝐦 1 , 𝐦 2 ) = 3 μ 0 4 π r 4 [ 𝐦 2 ( 𝐦 1 𝐫 ^ ) + 𝐦 1 ( 𝐦 2 𝐫 ^ ) + 𝐫 ^ ( 𝐦 1 𝐦 2 ) - 5 𝐫 ^ ( 𝐦 1 𝐫 ^ ) ( 𝐦 2 𝐫 ^ ) ] ,

Doc 4
1.0000
-56.0000
2.0000
1.0000
testing/wikipedia/v3/25880.html
𝐅 ( 𝐫 , 𝐦 1 , 𝐦 2 ) = 3 μ 0 4 π r 5 [ ( 𝐦 1 𝐫 ) 𝐦 2 + ( 𝐦 2 𝐫 ) 𝐦 1 + ( 𝐦 1 𝐦 2 ) 𝐫 - 5 ( 𝐦 1 𝐫 ) ( 𝐦 2 𝐫 ) r 2 𝐫 ]

Doc 5
1.0000
-57.0000
2.0000
1.0000
testing/wikipedia/v3/02515.html
𝐅 ( 𝐫 , 𝐦 1 , 𝐦 2 ) = 3 μ 0 4 π r 5 [ ( 𝐦 1 𝐫 ) 𝐦 2 + ( 𝐦 2 𝐫 ) 𝐦 1 + ( 𝐦 1 𝐦 2 ) 𝐫 - 5 ( 𝐦 1 𝐫 ) ( 𝐦 2 𝐫 ) r 2 𝐫 ] ,