tangent
Not Supported
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Search
Returned 98 matches (100 formulae, 64 docs)
Lookup 105.399 ms, Re-ranking 4754.321 ms
Found 355462 tuple postings, 130643 formulae, 18813 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
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Doc 1
0.9365, -6.0000, 29.0000, 3.0832
testing/wikipedia/v3/00133.html
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Doc 2
0.5554, -2.0000, 17.0000, 1.4760
testing/wikipedia/v3/00131.html
Doc 3
0.5554, -2.0000, 17.0000, 1.0885
testing/wikipedia/v3/01569.html
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Doc 4
0.5554, -2.0000, 13.0000, 1.6032
testing/wikipedia/v3/03031.html
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Doc 5
0.5554, -3.0000, 14.0000, 0.9150
testing/wikipedia/v3/02165.html
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Doc 1
0.9365, -6.0000, 29.0000, 3.0832
testing/wikipedia/v3/00133.html
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Doc 6
0.4600, -8.0000, 14.0000, 1.0433
testing/wikipedia/v3/02848.html
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Doc 7
0.4427, -39.0000, 12.0000, 0.7118
testing/wikipedia/v3/10244.html
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Doc 8
0.4364, -13.0000, 13.0000, 1.5938
testing/wikipedia/v3/19294.html
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Doc 9
0.4364, -60.0000, 15.0000, 0.8611
testing/wikipedia/v3/02190.html
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Doc 10
0.4282, -7.0000, 5.0000, 0.4282
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Doc 11
0.4282, -12.0000, 9.0000, 1.1715
testing/wikipedia/v3/01438.html
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Doc 12
0.4282, -23.0000, 8.0000, 0.4282
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Doc 13
0.4108, -37.0000, 11.0000, 0.4108
testing/wikipedia/v3/06782.html
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Doc 8
0.4364, -13.0000, 13.0000, 1.5938
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Doc 1
0.9365, -6.0000, 29.0000, 3.0832
testing/wikipedia/v3/00133.html
Doc 14
0.3964, -7.0000, 9.0000, 0.6656
testing/wikipedia/v3/05791.html
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Doc 11
0.4282, -12.0000, 9.0000, 1.1715
testing/wikipedia/v3/01438.html
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Doc 15
0.3919, -26.0000, 12.0000, 0.7247
testing/wikipedia/v3/04139.html
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Doc 4
0.5554, -2.0000, 13.0000, 1.6032
testing/wikipedia/v3/03031.html
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Doc 8
0.4364, -13.0000, 13.0000, 1.5938
testing/wikipedia/v3/19294.html
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Doc 16
0.3822, -35.0000, 14.0000, 0.3822
testing/wikipedia/v3/02327.html
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Doc 17
0.3788, -6.0000, 7.0000, 0.3788
testing/wikipedia/v3/04615.html
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Doc 18
0.3788, -18.0000, 8.0000, 0.3788
testing/wikipedia/v3/15089.html
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Doc 19
0.3714, -24.0000, 6.0000, 0.3714
testing/wikipedia/v3/13655.html
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Doc 8
0.4364, -13.0000, 13.0000, 1.5938
testing/wikipedia/v3/19294.html
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Doc 20
0.3646, -8.0000, 9.0000, 0.3646
testing/wikipedia/v3/05760.html
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Doc 21
0.3646, -12.0000, 11.0000, 1.0303
testing/wikipedia/v3/03081.html
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Doc 22
0.3646, -19.0000, 9.0000, 0.3646
testing/wikipedia/v3/09424.html
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Doc 23
0.3596, -5.0000, 10.0000, 0.5778
testing/wikipedia/v3/03830.html
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Doc 24
0.3596, -13.0000, 11.0000, 0.3596
testing/wikipedia/v3/12635.html
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Doc 25
0.3596, -13.0000, 8.0000, 0.3596
testing/wikipedia/v3/06439.html
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Doc 26
0.3596, -29.0000, 11.0000, 0.6744
testing/wikipedia/v3/10096.html
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Doc 1
0.9365, -6.0000, 29.0000, 3.0832
testing/wikipedia/v3/00133.html
Doc 5
0.5554, -3.0000, 14.0000, 0.9150
testing/wikipedia/v3/02165.html
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Doc 27
0.3468, -9.0000, 9.0000, 0.3468
testing/wikipedia/v3/12660.html
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Doc 11
0.4282, -12.0000, 9.0000, 1.1715
testing/wikipedia/v3/01438.html
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Doc 28
0.3468, -9.0000, 6.0000, 0.6796
testing/wikipedia/v3/02880.html
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Doc 29
0.3468, -10.0000, 10.0000, 0.6796
testing/wikipedia/v3/05621.html
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Doc 30
0.3468, -11.0000, 7.0000, 0.3468
testing/wikipedia/v3/07606.html
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Doc 1
0.9365, -6.0000, 29.0000, 3.0832
testing/wikipedia/v3/00133.html
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Doc 31
0.3328, -11.0000, 8.0000, 0.3328
testing/wikipedia/v3/06981.html
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Doc 32
0.3328, -11.0000, 8.0000, 0.3328
testing/wikipedia/v3/28068.html
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Doc 33
0.3328, -12.0000, 10.0000, 1.5331
testing/wikipedia/v3/03168.html
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Doc 33
0.3328, -12.0000, 10.0000, 1.5331
testing/wikipedia/v3/03168.html
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Doc 34
0.3328, -12.0000, 10.0000, 0.3328
testing/wikipedia/v3/01177.html
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Doc 4
0.5554, -2.0000, 13.0000, 1.6032
testing/wikipedia/v3/03031.html
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Doc 35
0.3328, -13.0000, 10.0000, 0.6601
testing/wikipedia/v3/09031.html
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Doc 4
0.5554, -2.0000, 13.0000, 1.6032
testing/wikipedia/v3/03031.html
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Doc 29
0.3468, -10.0000, 10.0000, 0.6796
testing/wikipedia/v3/05621.html
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Doc 36
0.3328, -14.0000, 7.0000, 0.3328
testing/wikipedia/v3/03187.html
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Doc 21
0.3646, -12.0000, 11.0000, 1.0303
testing/wikipedia/v3/03081.html
Doc 28
0.3468, -9.0000, 6.0000, 0.6796
testing/wikipedia/v3/02880.html
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Doc 21
0.3646, -12.0000, 11.0000, 1.0303
testing/wikipedia/v3/03081.html
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Doc 15
0.3919, -26.0000, 12.0000, 0.7247
testing/wikipedia/v3/04139.html
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Doc 37
0.3328, -17.0000, 9.0000, 0.3328
testing/wikipedia/v3/10245.html
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Doc 6
0.4600, -8.0000, 14.0000, 1.0433
testing/wikipedia/v3/02848.html
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Doc 35
0.3328, -13.0000, 10.0000, 0.6601
testing/wikipedia/v3/09031.html
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Doc 38
0.3273, -28.0000, 10.0000, 0.3273
testing/wikipedia/v3/04108.html
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Doc 33
0.3328, -12.0000, 10.0000, 1.5331
testing/wikipedia/v3/03168.html
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Doc 39
0.3148, -5.0000, 10.0000, 0.3148
testing/wikipedia/v3/02183.html
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.
Doc 1
0.9365, -6.0000, 29.0000, 3.0832
testing/wikipedia/v3/00133.html
(
1
+
x
+
1
/
x
)
n
=
∑
k
=
-
n
n
(
n
k
)
2
x
k
Doc 40
0.3148, -11.0000, 10.0000, 0.6096
testing/wikipedia/v3/30027.html
(
x
1
)
n
=
∑
k
1
=
n
(
n
k
1
)
x
1
k
1
;
k
1
,
n
∈
ℕ
0
Doc 26
0.3596, -29.0000, 11.0000, 0.6744
testing/wikipedia/v3/10096.html
μ
n
(
t
+
s
)
=
∑
k
=
0
n
(
n
k
)
μ
k
(
t
)
μ
n
-
k
(
s
)
.
Doc 41
0.3148, -15.0000, 8.0000, 0.3148
testing/wikipedia/v3/07298.html
Var
(
X
)
=
∑
k
=
0
n
(
n
k
)
p
k
(
1
-
p
)
n
-
k
(
k
-
n
p
)
2
=
n
p
(
1
-
p
)
,
Doc 42
0.3148, -24.0000, 9.0000, 0.3148
testing/wikipedia/v3/01076.html
d
n
f
=
∑
k
=
0
n
(
n
k
)
∂
n
f
∂
x
k
∂
y
n
-
k
(
d
x
)
k
(
d
y
)
n
-
k
,
Doc 43
0.3148, -24.0000, 7.0000, 0.3148
testing/wikipedia/v3/24576.html
Δ
(
X
n
)
=
∑
k
=
0
n
(
n
k
)
X
k
⊗
X
n
-
k
,
Doc 44
0.3010, -11.0000, 7.0000, 0.3010
testing/wikipedia/v3/03879.html
Pr
(
n
coin tosses yield heads at most
k
times
)
=
∑
i
=
0
k
(
n
i
)
p
i
(
1
-
p
)
n
-
i
.
Doc 45
0.2948, -14.0000, 7.0000, 0.2948
testing/wikipedia/v3/07662.html
(
1
+
x
+
x
2
)
n
=
∑
j
=
0
2
n
(
n
j
-
n
)
2
x
j
=
∑
k
=
-
n
n
(
n
k
)
2
x
n
+
k
Doc 40
0.3148, -11.0000, 10.0000, 0.6096
testing/wikipedia/v3/30027.html
(
1
+
X
)
n
=
∑
k
≥
0
(
n
k
)
X
k
,
Doc 46
0.2827, -6.0000, 8.0000, 0.2827
testing/wikipedia/v3/00150.html
(
1
+
x
)
n
=
∑
r
=
0
∞
(
n
r
)
x
r
.
Doc 47
0.2827, -7.0000, 8.0000, 0.2827
testing/wikipedia/v3/24901.html
(
1
+
x
)
n
=
∑
k
=
0
∞
(
n
k
)
x
k
|
x
|
<
1
Doc 3
0.5554, -2.0000, 17.0000, 1.0885
testing/wikipedia/v3/01569.html
B
n
(
x
)
=
∑
k
=
0
n
(
n
k
)
b
n
-
k
x
k
,
Doc 33
0.3328, -12.0000, 10.0000, 1.5331
testing/wikipedia/v3/03168.html
W
(
C
;
x
,
y
)
=
∑
w
=
0
n
A
w
x
w
y
n
-
w
.
Doc 48
0.2827, -12.0000, 8.0000, 0.5332
testing/wikipedia/v3/09485.html
L
n
(
x
)
=
∑
k
=
0
n
(
n
k
)
(
-
1
)
k
k
!
x
k
.
Doc 49
0.2827, -13.0000, 9.0000, 0.2827
testing/wikipedia/v3/07059.html
𝒫
(
t
)
=
∑
k
=
0
n
a
n
-
k
,
k
t
n
-
k
,
𝒫
(
ω
)
=
0.
Doc 50
0.2827, -15.0000, 7.0000, 0.2827
testing/wikipedia/v3/22136.html
(
u
v
)
(
n
)
(
x
)
=
∑
k
=
0
n
(
n
k
)
⋅
u
(
n
-
k
)
(
x
)
⋅
v
(
k
)
(
x
)
.
Doc 51
0.2827, -21.0000, 8.0000, 0.2827
testing/wikipedia/v3/03398.html
E
(
X
n
)
=
∑
k
=
1
n
{
n
k
}
λ
k
.
Doc 7
0.4427, -39.0000, 12.0000, 0.7118
testing/wikipedia/v3/10244.html
a
(
n
)
=
∑
i
=
1
n
(
n
i
)
a
(
n
-
i
)
.
Doc 52
0.2692, -9.0000, 6.0000, 0.2692
testing/wikipedia/v3/15026.html
(
∑
i
=
1
n
x
i
)
k
=
∑
|
α
|
=
k
(
k
α
)
x
α
Doc 14
0.3964, -7.0000, 9.0000, 0.6656
testing/wikipedia/v3/05791.html
∑
n
,
k
(
n
k
)
x
k
y
n
=
1
1
-
y
-
x
y
.
Doc 2
0.5554, -2.0000, 17.0000, 1.4760
testing/wikipedia/v3/00131.html
∑
n
,
k
(
n
+
k
k
)
x
k
y
n
=
1
1
-
x
-
y
.
Doc 2
0.5554, -2.0000, 17.0000, 1.4760
testing/wikipedia/v3/00131.html
Δ
n
x
m
=
∑
k
=
0
n
(
-
1
)
n
-
k
(
n
k
)
(
x
+
k
)
m
Doc 33
0.3328, -12.0000, 10.0000, 1.5331
testing/wikipedia/v3/03168.html
∑
n
,
k
(
n
k
)
x
k
y
n
=
1
1
-
(
1
+
x
)
y
=
1
1
-
y
-
x
y
.
Doc 53
0.2692, -22.0000, 7.0000, 0.2692
testing/wikipedia/v3/02490.html
∑
k
=
0
n
(
n
k
)
k
n
-
k
Doc 54
0.2505, -3.0000, 8.0000, 0.2505
testing/wikipedia/v3/00526.html
(
x
+
1
)
n
=
∑
i
=
0
n
a
i
x
i
.
Doc 3
0.5554, -2.0000, 17.0000, 1.0885
testing/wikipedia/v3/01569.html
b
n
=
∑
k
=
0
n
(
n
k
)
2
(
n
+
k
k
)
2
.
Doc 55
0.2505, -10.0000, 6.0000, 0.2505
testing/wikipedia/v3/09155.html
A
(
C
;
x
,
y
)
=
∑
i
=
0
n
A
i
x
i
y
n
-
i
Doc 48
0.2827, -12.0000, 8.0000, 0.5332
testing/wikipedia/v3/09485.html
∑
k
=
0
n
(
n
k
)
𝐻𝑒
k
[
α
]
(
x
)
𝐻𝑒
n
-
k
[
-
α
]
(
y
)
=
𝐻𝑒
n
[
0
]
(
x
+
y
)
=
(
x
+
y
)
n
.
Doc 6
0.4600, -8.0000, 14.0000, 1.0433
testing/wikipedia/v3/02848.html
P
n
(
x
)
=
∑
k
=
0
n
(
-
1
)
k
(
n
k
)
2
(
1
+
x
2
)
n
-
k
(
1
-
x
2
)
k
.
Doc 9
0.4364, -60.0000, 15.0000, 0.8611
testing/wikipedia/v3/02190.html
D
(
n
)
=
∑
k
=
0
n
(
n
k
)
(
n
+
k
k
)
.
Doc 56
0.2373, -10.0000, 7.0000, 0.2373
testing/wikipedia/v3/21377.html
H
n
(
x
)
=
∑
k
=
0
n
(
n
+
k
n
-
k
)
(
-
x
)
k
.
Doc 57
0.2373, -14.0000, 7.0000, 0.2373
testing/wikipedia/v3/03051.html
cos
(
n
x
)
=
∑
k
even
(
-
1
)
k
/
2
(
n
k
)
cos
n
-
k
x
sin
k
x
Doc 1
0.9365, -6.0000, 29.0000, 3.0832
testing/wikipedia/v3/00133.html
e
=
∑
i
=
1
n
x
i
⊗
y
i
=
∑
i
=
1
n
y
i
⊗
x
i
Doc 58
0.2182, -15.0000, 7.0000, 0.2182
testing/wikipedia/v3/17881.html
∑
n
=
0
N
∑
k
=
0
K
(
K
k
)
⋅
(
N
-
K
n
-
k
)
⋅
x
k
⋅
y
n
-
k
.
Doc 23
0.3596, -5.0000, 10.0000, 0.5778
testing/wikipedia/v3/03830.html
∑
n
,
k
1
(
n
+
k
)
!
(
n
+
k
k
)
x
k
y
n
=
e
x
+
y
.
Doc 2
0.5554, -2.0000, 17.0000, 1.4760
testing/wikipedia/v3/00131.html
(
1
+
x
)
∑
k
=
0
n
(
α
k
)
x
k
=
∑
k
=
0
n
(
α
+
1
k
)
x
k
+
(
α
n
)
x
n
+
1
,
Doc 59
0.1961, -28.0000, 7.0000, 0.1961
testing/wikipedia/v3/06249.html
f
(
x
)
g
(
y
)
-
f
(
y
)
g
(
x
)
x
-
y
=
∑
i
,
j
=
1
n
b
i
j
x
i
-
1
y
j
-
1
.
Doc 60
0.1961, -29.0000, 7.0000, 0.1961
testing/wikipedia/v3/09974.html
P
n
~
(
x
)
=
(
-
1
)
n
∑
k
=
0
n
(
n
k
)
(
n
+
k
k
)
(
-
x
)
k
.
Doc 9
0.4364, -60.0000, 15.0000, 0.8611
testing/wikipedia/v3/02190.html
(
n
-
1
k
)
-
(
n
-
1
k
-
1
)
=
n
-
2
k
n
(
n
k
)
.
Doc 2
0.5554, -2.0000, 17.0000, 1.4760
testing/wikipedia/v3/00131.html
x
y
¯
=
1
n
∑
i
=
1
n
x
i
y
i
.
Doc 61
0.1623, -10.0000, 6.0000, 0.1623
testing/wikipedia/v3/02757.html
Doc 62
0.1623, -10.0000, 6.0000, 0.1623
testing/wikipedia/v3/10770.html
x
i
[
𝐟
A
]
=
∑
k
=
1
n
a
~
k
i
x
k
[
𝐟
]
.
Doc 63
0.1529, -13.0000, 4.0000, 0.1529
testing/wikipedia/v3/02917.html
y
(
n
)
=
∑
p
H
p
x
(
n
)
≡
∑
p
G
p
x
(
n
)
Doc 64
0.1342, -12.0000, 6.0000, 0.1342
testing/wikipedia/v3/14368.html