Returned 78 matches (81 formulae, 30 docs)
    Lookup 0.334 ms, Re-ranking 72.833 ms
    Found 81 tuple postings, 81 formulae, 30 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
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testing/wikipedia/v3/02102.html
ω k
ω k
ω k , s
ω k k
l k = m ω k
H p h = k ω k ( b k b k + 1 2 )
E n = ( 1 2 + n ) ω k     n = 0 , 1 , 2 , 3......
n ( ω k , s ) = 1 exp ( ω k , s / k B T ) - 1
𝐇 = 1 2 m k ( Π k Π - k + m 2 ω k 2 Q k Q - k )
U k = A k e i ω k t ;     ω k = 2 C m ( 1 - cos k d )
ω k = 2 ω 2 ( 1 - cos ( k a ) ) = 2 ω | s i n ( k a 2 ) |
𝐇 = k s = 1 3 ω k , s ( b k , s b k , s + 1 / 2 ) .
< k | x j ( t ) x ( 0 ) | k > = N m ω k cos [ k ( j - ) a - ω k t ] + < 0 | x j ( t ) x ( 0 ) | 0 >
1 2 m ω 2 j ( x j - x j + 1 ) 2 = 1 2 m ω 2 k Q k Q - k ( 2 - e i k a - e - i k a ) = 1 2 k m ω k 2 Q k Q - k

Doc 2
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14.0000
testing/wikipedia/v3/30192.html
ω k
H ( ω k )
S ( ω k )
X ( ω k )
ω = ω k
S ( ω = ω k )
V i ( ω k ) V i k
S i j k S i j ( ω k )
V ( ω k ) = H ( ω k ) X ( ω k )
S ( ω k ) = H ( ω k ) H ( ω k ) T
S ( ω k ) = S ( ω = ω k ) Δ ω / 2
C o h i j k C o h i j ( ω k )
C o h i j k = exp - 2 C Δ r i j ω k / ( u i + u j )
S i j ( ω k ) = C o h i j ( ω k ) S i i ( ω k ) S j j ( ω k )

Doc 3
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8.0000
testing/wikipedia/v3/13492.html
ω k
P ( ζ ) = e i ω k ζ
β k = ω k 2 + 1 4
ω k = k π ζ a - ζ b
ω k = ± β k - 1 4
P ( ζ ) = A cos ω k ζ + B sin ω k ζ
tan ( ϕ a ) = tan ( ϕ b ) = 1 2 ω k
ϕ a - ϕ b + k π = k π = ζ b ζ a d ζ d ϕ d ζ = ω k ( ζ a - ζ b )

Doc 4
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testing/wikipedia/v3/01597.html
ω k
ω k = 2 ω 2 ( 1 - cos ( k a ) ) .
E n = ( 1 2 + n ) ω k     n = 0 , 1 , 2 , 3......
𝐇 = 1 2 m k ( Π k Π - k + m 2 ω k 2 Q k Q - k . )
1 2 m ω 2 j ( x j - x j + 1 ) 2 = 1 2 ω 2 k Q k Q - k ( 2 - e i k a - e - i k a ) = 1 2 k ω k 2 Q k Q - k ,

Doc 5
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4.0000
testing/wikipedia/v3/29934.html
ω k
N × | ω k |
( i -th , ω k ( i ) )
ω k = { i 1 i N , x T k ( i ) 0 } .

Doc 6
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2.0000
2.0000
testing/wikipedia/v3/11504.html
ω k
T ( ω k )

Doc 7
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2.0000
2.0000
testing/wikipedia/v3/17084.html
ω k
t k = ω k - q 2 + q 2 4 + p 3 27 3 + ω k 2 - q 2 - q 2 4 + p 3 27 3

Doc 8
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2.0000
2.0000
testing/wikipedia/v3/21648.html
ω k
s n = k C k ρ k n e i 2 π ω k n

Doc 9
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2.0000
2.0000
testing/wikipedia/v3/30214.html
ω k
Ω i j = - 2 ω k ( R j m e i k m + R i m e j k m )

Doc 10
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2.0000
1.0000
testing/wikipedia/v3/13807.html
ω k

Doc 11
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-1.0000
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3.0000
testing/wikipedia/v3/14713.html
ω k
ω k
d 2 σ d Ω k d ( ω k ) = ω k ω k | f > | | n > < f | T | n > < n | T | i > E i - E n + ω k + i Γ n 2 | 2 δ ( E i - E f + ω k - ω k )
Doc 12
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testing/wikipedia/v3/25874.html
{ ω k }
m j ω j = m k ω k .

Doc 13
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testing/wikipedia/v3/06807.html
ω k / 2
ω k = k 2 + m 2
H = 1 2 k = - [ π k π k + ω k 2 ϕ k ϕ k ] ,
H = k = - ω k a k a k = k = - ω k N k
a k = 1 2 ω k ( ω k ϕ k + i π k ) ,  a k = 1 2 ω k ( ω k ϕ k - i π k ) ,

Doc 14
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testing/wikipedia/v3/00968.html
ω k = c k
| ψ ( t ) > = a ( t ) e - i ω 0 t | e ; 0 > + k , s b k s ( t ) e - i ω k t | g ; 1 k s >

Doc 15
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-3.0000
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2.0000
testing/wikipedia/v3/27558.html
ω k j = ω
ω j k = ω k j - 1 = e 2 π i ν k j / N k j

Doc 16
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-4.0000
2.0000
1.0000
testing/wikipedia/v3/24060.html
E k = ω k

Doc 17
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-6.0000
2.0000
1.0000
testing/wikipedia/v3/06909.html
L k = def I k ω k

Doc 18
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3.0000
testing/wikipedia/v3/13057.html
p , ω k +
u p , ω k = ω k | u | p d x    u L p , loc ( Ω ) .
d ( u , v ) = k 1 1 2 k u - v p , ω k 1 + u - v p , ω k    u , v L p , loc ( Ω ) ,
Doc 19
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3.0000
testing/wikipedia/v3/22871.html
B op := { | ω k > } k = 0 N - 1
P := χ ( k ) = 1 | ω k > < ω k |
1 : = Image P = span { | ω k > B op |  χ ( x ) = 1 } , 0 : = Ker P = span { | ω k > B op |  χ ( x ) = 0 } .
Doc 20
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1.0000
testing/wikipedia/v3/27506.html
θ i { ω 0 , ω 1 , , ω k }

Doc 21
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1.0000
testing/wikipedia/v3/17027.html
d ω j i = - ω k i ω j k .

Doc 22
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-15.0000
2.0000
1.0000
testing/wikipedia/v3/25051.html
x k = ω k y 1 7 + ω k 6 y 2 7

Doc 23
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-16.0000
2.0000
4.0000
testing/wikipedia/v3/14496.html
{ 𝜷 δ , σ δ , ω k δ , k = 1 , , d }
{ 𝜷 m , σ m , ω k m , k = 1 , , d + r }
R δ ( 𝐱 , 𝐱 ) = exp { - k = 1 d ω k δ ( x k - x k ) 2 } .
R m ( ( 𝐱 , 𝜽 ) , ( 𝐱 , 𝜽 ) ) = exp { - k = 1 d ω k m ( x k - x k ) 2 } exp { - k = 1 r ω d + k m ( θ k - θ k ) 2 } .

Doc 24
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testing/wikipedia/v3/08313.html
f k ( x ) = e - i k x ( 2 π ) 3 / 2 ( 2 ω k ) 1 / 2 | k 0 = ω k
| k 1 , , k n in > = 2 ω k 1 a in ( 𝐤 1 ) 2 ω k n a in ( 𝐤 n ) | 0 >
Δ ret ( x ) = i θ ( x 0 ) d 3 k ( 2 π ) 3 2 ω k ( e - i k x - e i k x ) k 0 = ω k ;  ω k = 𝐤 2 + m 2
Doc 25
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-17.0000
2.0000
1.0000
testing/wikipedia/v3/05164.html
Ω j i = d ω j i + k ω k i ω j k .

Doc 26
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-18.0000
2.0000
1.0000
testing/wikipedia/v3/08369.html
ω m = ω m x - Γ k ω k m .

Doc 27
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-25.0000
2.0000
1.0000
testing/wikipedia/v3/06306.html
Ω i j ( 𝐞 ) = d ω i j ( 𝐞 ) + k ω k j ( 𝐞 ) ω i k ( 𝐞 ) .

Doc 28
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1.0000
testing/wikipedia/v3/05812.html
d θ j - i ω i j θ i = 0 d ω i j - k ω k j ω i k = 0.

Doc 29
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1.0000
testing/wikipedia/v3/02598.html
L ( N Δ ω k ω res ( θ ) ) = sin 2 ( N π Δ ω k / ω res ( θ ) ) N 2 sin 2 ( π Δ ω k / ω res ( θ ) )

Doc 30
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testing/wikipedia/v3/16073.html
Ω = 2 4 e Φ [ k i k k j l ( ω i , j - ω j , i ) ( ω k , l - ω l , k ) ] 1 / 2 = β ω ( r - 3 m ) r - 2 m - β ω 2 r 3 = β ω .