tangent
Not Supported
d
f
=
∂
f
∂
x
d
x
+
∂
f
∂
y
d
y
=
p
d
x
+
v
d
y
Search
Returned 94 matches (100 formulae, 102 docs)
Lookup 1066.550 ms, Re-ranking 1726.727 ms
Found 7547624 tuple postings, 4615111 formulae, 2203758 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
Doc 1
0.7219
-6.0000
20.0000
0.7219
testing/NTCIR/xhtml5/3/hep-th0303216/hep-th0303216_1_60.xhtml
d
=
∂
∂
x
d
x
+
∂
∂
y
d
y
=
∂
x
d
x
+
∂
y
d
y
.
Doc 2
0.7219
-6.0000
20.0000
0.7219
testing/NTCIR/xhtml5/3/hep-th0303216/hep-th0303216_1_151.xhtml
d
=
∂
∂
x
d
x
+
∂
∂
y
d
y
=
∂
x
d
x
+
∂
y
d
y
,
Doc 3
0.7045
-11.0000
16.0000
0.7045
testing/NTCIR/xhtml5/1/math-ph0001004/math-ph0001004_1_15.xhtml
d
I
=
∂
I
∂
x
d
x
+
∂
I
∂
y
d
y
+
∂
I
∂
y
′
d
y
′
=
0.
Doc 4
0.7045
-11.0000
16.0000
0.7045
testing/NTCIR/xhtml5/7/1102.2522/1102.2522_1_41.xhtml
d
H
z
=
∂
H
z
∂
x
d
x
+
∂
H
z
∂
y
d
y
+
∂
H
z
∂
z
d
z
Doc 5
0.7045
-15.0000
16.0000
0.7045
testing/NTCIR/xhtml5/2/math-ph0212036/math-ph0212036_1_15.xhtml
d
H
=
∂
H
∂
x
μ
d
x
μ
+
∂
H
∂
y
i
d
y
i
+
∂
H
∂
p
i
μ
d
p
i
μ
Doc 6
0.7045
-15.0000
15.0000
0.7045
testing/NTCIR/xhtml5/6/0903.0059/0903.0059_1_30.xhtml
d
f
=
∂
f
∂
t
d
t
+
∂
f
∂
z
0
i
d
z
0
i
+
∂
f
∂
z
¯
0
i
d
z
¯
0
i
Doc 7
0.7045
-15.0000
15.0000
0.7045
testing/NTCIR/xhtml5/6/0903.0222/0903.0222_1_11.xhtml
d
f
=
∂
f
∂
t
d
t
+
∂
f
∂
z
0
i
d
z
0
i
+
∂
f
∂
z
¯
0
i
d
z
¯
0
i
Doc 8
0.7045
-19.0000
15.0000
0.7045
testing/NTCIR/xhtml5/6/0903.0059/0903.0059_1_33.xhtml
d
f
~
=
∂
f
~
∂
t
d
t
+
∂
f
~
∂
z
r
i
d
z
r
i
+
∂
f
~
∂
z
¯
r
i
d
z
¯
r
i
Doc 9
0.6861
0.0000
11.0000
0.6861
testing/NTCIR/xhtml5/1/cond-mat0011151/cond-mat0011151_1_42.xhtml
d
Ψ
=
∂
Ψ
∂
y
d
y
+
∂
Ψ
∂
x
d
x
Doc 10
0.6861
0.0000
11.0000
0.6861
testing/NTCIR/xhtml5/1/cond-mat0011151/cond-mat0011151_1_37.xhtml
d
η
=
∂
η
∂
t
d
t
+
∂
η
∂
x
d
x
Doc 11
0.6861
-1.0000
18.0000
1.4474
testing/NTCIR/xhtml5/10/math9602211/math9602211_1_133.xhtml
d
f
=
∂
f
∂
x
d
x
+
∂
f
∂
y
d
y
,
d
c
f
=
∂
f
∂
x
d
y
-
∂
f
∂
y
d
x
,
=
(
∂
2
f
∂
x
2
+
∂
2
f
∂
y
2
)
d
x
d
y
,
Doc 12
0.6861
-1.0000
15.0000
0.6861
testing/NTCIR/xhtml5/6/0903.4562/0903.4562_1_42.xhtml
d
H
=
∂
H
∂
x
d
x
+
∂
H
∂
y
d
y
.
Doc 13
0.6861
-1.0000
15.0000
0.6861
testing/NTCIR/xhtml5/6/0902.4522/0902.4522_1_34.xhtml
d
H
=
∂
H
∂
x
d
x
+
∂
H
∂
y
d
y
.
Doc 14
0.6861
-5.0000
15.0000
0.6861
testing/NTCIR/xhtml5/6/0902.3569/0902.3569_1_34.xhtml
d
H
=
∂
H
∂
x
i
d
x
i
+
∂
H
∂
y
i
d
y
i
.
Doc 15
0.6861
-5.0000
13.0000
0.6861
testing/NTCIR/xhtml5/2/hep-th0106136/hep-th0106136_1_47.xhtml
d
x
i
=
∂
x
i
∂
t
d
t
+
∂
x
i
∂
y
j
d
y
j
Doc 16
0.6651
-9.0000
18.0000
0.6651
testing/NTCIR/xhtml5/5/0810.3434/0810.3434_1_11.xhtml
d
f
=
∂
f
∂
x
d
x
+
∂
f
∂
y
d
y
+
∂
f
∂
z
d
z
.
Doc 17
0.6258
-17.0000
13.0000
0.6258
testing/NTCIR/xhtml5/7/1012.0411/1012.0411_1_10.xhtml
d
f
(
r
,
M
,
q
)
=
∂
f
∂
r
d
r
+
∂
f
∂
M
d
M
+
∂
f
∂
q
d
q
=
0
Doc 18
0.6258
-30.0000
14.0000
0.6258
testing/NTCIR/xhtml5/3/math0311531/math0311531_1_131.xhtml
(
u
+
i
v
)
(
d
x
+
i
d
y
)
=
∂
a
∂
x
d
x
+
∂
a
∂
y
d
y
+
i
∂
b
∂
x
d
x
+
i
∂
b
∂
y
d
y
.
Doc 19
0.6076
-1.0000
16.0000
1.3117
testing/NTCIR/xhtml5/3/math0401039/math0401039_1_48.xhtml
θ
=
∂
f
∂
x
d
x
+
∂
f
∂
y
d
y
θ
*
=
-
∂
f
∂
y
d
x
+
∂
f
∂
x
d
y
∂
2
f
∂
x
2
+
∂
2
f
∂
y
2
≡
Δ
f
=
0
Doc 20
0.6076
-1.0000
16.0000
1.3117
testing/NTCIR/xhtml5/6/0901.1741/0901.1741_1_35.xhtml
θ
=
∂
f
∂
x
d
x
+
∂
f
∂
y
d
y
θ
*
=
-
∂
f
∂
y
d
x
+
∂
f
∂
x
d
y
∂
2
f
∂
x
2
+
∂
2
f
∂
y
2
≡
Δ
f
=
0
Doc 21
0.6076
-15.0000
13.0000
0.6076
testing/NTCIR/xhtml5/4/math-ph0509052/math-ph0509052_1_16.xhtml
ω
g
r
a
d
(
p
)
=
d
p
=
∂
p
∂
x
1
d
x
1
+
∂
p
∂
x
3
d
x
3
.
Doc 22
0.6076
-16.0000
14.0000
0.6076
testing/NTCIR/xhtml5/2/math0107083/math0107083_1_210.xhtml
∂
𝐞
3
∂
x
d
x
+
∂
𝐞
3
∂
y
d
y
=
d
𝐞
3
=
-
𝐞
1
ω
31
-
𝐞
2
ω
32
Doc 23
0.6033
-17.0000
15.0000
0.6033
testing/NTCIR/xhtml5/3/math0401039/math0401039_1_19.xhtml
d
θ
0
=
∂
a
∂
x
1
d
x
1
+
∂
a
∂
x
2
d
x
2
+
∂
a
∂
x
3
d
x
3
,
Doc 24
0.5864
-6.0000
13.0000
0.5864
testing/NTCIR/xhtml5/6/0911.1138/0911.1138_1_4.xhtml
δ
f
=
∂
f
∂
y
δ
y
+
∂
f
∂
y
′
δ
y
′
Doc 25
0.5864
-8.0000
12.0000
0.5864
testing/NTCIR/xhtml5/8/1201.3768/1201.3768_1_123.xhtml
λ
d
x
=
μ
d
y
+
∂
Q
∂
x
d
x
+
∂
Q
∂
λ
d
λ
,
Doc 26
0.5864
-26.0000
14.0000
0.5864
testing/NTCIR/xhtml5/6/1003.4999/1003.4999_1_59.xhtml
α
=
1
2
∂
P
∂
x
d
x
+
1
2
∂
P
∂
y
d
y
+
∂
H
ℂ
∂
x
d
x
+
∂
H
ℂ
∂
y
d
y
.
Doc 27
0.5683
-8.0000
14.0000
0.5683
testing/NTCIR/xhtml5/5/0711.1446/0711.1446_1_24.xhtml
𝒅
=
d
+
δ
y
=
∂
∂
x
μ
d
x
μ
+
∂
∂
y
d
y
,
Doc 28
0.5683
-10.0000
13.0000
0.5683
testing/NTCIR/xhtml5/6/1003.4999/1003.4999_1_60.xhtml
θ
=
π
*
(
∂
H
ℂ
∂
x
d
x
+
∂
H
ℂ
∂
y
d
y
)
/
z
k
Doc 29
0.5683
-12.0000
12.0000
0.5683
testing/NTCIR/xhtml5/9/1212.4873/1212.4873_1_172.xhtml
∂
∂
t
ω
~
=
∂
ω
i
∂
t
d
x
i
+
∂
ω
¯
i
∂
t
d
y
i
Doc 30
0.5683
-32.0000
15.0000
0.8221
testing/NTCIR/xhtml5/3/hep-th0307166/hep-th0307166_1_93.xhtml
⋆
d
⋆
f
d
x
d
y
=
⋆
d
f
=
⋆
(
∂
f
∂
x
d
x
+
∂
f
∂
y
d
y
)
=
∂
f
∂
x
d
y
-
∂
f
∂
y
d
x
.
⋆
d
⋆
f
d
x
=
⋆
d
(
f
d
y
)
=
⋆
∂
f
∂
x
d
x
∧
d
y
=
∂
f
∂
x
Doc 31
0.5683
-32.0000
15.0000
0.5683
testing/NTCIR/xhtml5/3/hep-th0307166/hep-th0307166_1_96.xhtml
⋆
d
⋆
f
d
x
d
y
=
⋆
d
f
=
⋆
(
∂
f
∂
x
d
x
+
∂
f
∂
y
d
y
)
=
∂
f
∂
x
d
y
-
∂
f
∂
y
d
x
.
Doc 32
0.5291
-15.0000
12.0000
0.5291
testing/NTCIR/xhtml5/6/0812.1185/0812.1185_1_19.xhtml
𝒟
F
(
x
)
=
∂
F
(
x
)
∂
x
∥
d
x
∥
+
∂
F
(
x
)
∂
x
⟂
d
x
⟂
,
Doc 33
0.5076
-16.0000
10.0000
0.5076
testing/NTCIR/xhtml5/10/hep-th9903215/hep-th9903215_1_18.xhtml
κ
d
x
y
=
∂
a
(
x
,
z
)
∂
z
d
x
+
∂
F
(
x
,
z
)
∂
x
d
x
,
Doc 34
0.4992
-3.0000
14.0000
0.4992
testing/NTCIR/xhtml5/3/math0502154/math0502154_1_119.xhtml
d
z
=
p
d
x
+
q
d
y
=
p
d
u
+
v
d
y
Doc 35
0.4992
-8.0000
15.0000
0.4992
testing/NTCIR/xhtml5/7/1011.6076/1011.6076_1_11.xhtml
d
f
=
δ
f
δ
x
i
d
x
i
+
∂
f
∂
y
i
δ
y
i
.
Doc 36
0.4898
-7.0000
11.0000
0.4898
testing/NTCIR/xhtml5/5/0707.0771/0707.0771_1_266.xhtml
d
c
λ
=
-
∂
λ
∂
y
d
x
+
∂
λ
∂
x
d
y
Doc 37
0.4898
-7.0000
11.0000
0.4898
testing/NTCIR/xhtml5/3/math0310474/math0310474_1_68.xhtml
d
c
h
=
-
∂
h
∂
y
d
x
+
∂
h
∂
x
d
y
Doc 38
0.4898
-11.0000
11.0000
0.4898
testing/NTCIR/xhtml5/9/1212.4873/1212.4873_1_99.xhtml
ω
=
1
2
∂
L
∂
y
i
d
x
i
+
∂
L
∂
z
i
d
y
i
Doc 39
0.4898
-18.0000
11.0000
0.4898
testing/NTCIR/xhtml5/3/math0405409/math0405409_1_18.xhtml
∫
γ
k
(
-
∂
u
∂
y
d
x
+
∂
u
∂
x
d
y
)
=
0
(
1
≤
k
≤
n
-
1
)
.
Doc 40
0.4843
-4.0000
14.0000
0.4843
testing/NTCIR/xhtml5/3/math0408397/math0408397_1_46.xhtml
=
∂
f
∂
x
y
′
x
+
∂
f
∂
y
y
′
y
Doc 41
0.4505
-7.0000
12.0000
0.4505
testing/NTCIR/xhtml5/5/0808.2952/0808.2952_1_359.xhtml
d
=
∂
∂
x
1
d
x
1
+
∂
∂
x
2
d
x
2
Doc 42
0.4286
-5.0000
12.0000
0.4286
testing/NTCIR/xhtml5/4/math0606304/math0606304_1_28.xhtml
f
x
=
∂
f
∂
x
,
f
y
=
∂
f
∂
y
Doc 43
0.4286
-7.0000
12.0000
0.4286
testing/NTCIR/xhtml5/5/0804.2208/0804.2208_1_167.xhtml
div
f
=
∂
f
∂
x
1
+
…
+
∂
f
∂
x
n
.
Doc 44
0.4112
-14.0000
11.0000
0.4112
testing/NTCIR/xhtml5/5/0712.1682/0712.1682_1_16.xhtml
d
f
=
∂
f
∂
x
1
d
x
1
+
…
+
∂
f
∂
x
n
d
x
n
.
Doc 45
0.4112
-23.0000
11.0000
0.8224
testing/NTCIR/xhtml5/2/math0105242/math0105242_1_56.xhtml
d
f
ε
′
1
=
∂
f
ε
′
1
∂
x
1
d
x
1
+
⋯
+
∂
f
ε
′
1
∂
x
n
d
x
n
,
d
f
ε
′
k
=
∂
f
ε
′
k
∂
x
1
d
x
1
+
⋯
+
∂
f
ε
′
k
∂
x
n
d
x
n
.
Doc 46
0.3890
-6.0000
11.0000
0.3890
testing/NTCIR/xhtml5/7/1008.1565/1008.1565_1_5.xhtml
ω
(
⋅
)
=
∂
∂
y
d
x
-
∂
∂
x
d
y
Doc 47
0.3890
-9.0000
9.0000
0.3890
testing/NTCIR/xhtml5/2/math0111111/math0111111_1_244.xhtml
u
𝜶
=
∂
f
𝜶
∂
y
and
v
𝜶
=
∂
f
𝜶
∂
x
.
Doc 48
0.3719
-2.0000
10.0000
0.3719
testing/NTCIR/xhtml5/10/physics9612015/physics9612015_1_87.xhtml
d
f
=
∂
f
∂
x
μ
d
x
μ
Doc 49
0.3719
-3.0000
10.0000
0.7438
testing/NTCIR/xhtml5/1/math0004162/math0004162_1_14.xhtml
d
f
=
∂
f
∂
x
i
d
x
i
,
d
2
f
=
∂
2
f
∂
x
i
∂
x
j
d
x
(
i
d
x
j
)
+
∂
f
∂
x
i
d
2
x
i
,
Doc 50
0.3719
-3.0000
10.0000
0.3719
testing/NTCIR/xhtml5/10/hep-th9604142/hep-th9604142_1_135.xhtml
d
f
=
∂
f
∂
x
i
d
x
i
.
Doc 51
0.3719
-4.0000
10.0000
0.7438
testing/NTCIR/xhtml5/3/math0307303/math0307303_1_10.xhtml
d
a
f
=
∂
f
∂
x
i
d
a
x
i
d
1
d
2
f
=
∂
2
f
∂
x
i
∂
x
j
d
1
x
i
d
2
x
j
+
∂
f
∂
x
i
d
1
d
2
x
i
Doc 52
0.3719
-4.0000
10.0000
0.3719
testing/NTCIR/xhtml5/10/hep-th9402068/hep-th9402068_1_9.xhtml
d
f
=
∂
T
f
∂
x
μ
d
x
μ
,
Doc 53
0.3719
-33.0000
9.0000
0.3719
testing/NTCIR/xhtml5/2/math0212080/math0212080_1_31.xhtml
ω
ℒ
=
d
θ
ℒ
=
∂
2
ℒ
∂
x
i
∂
y
j
d
x
i
∧
d
x
j
+
∂
2
ℒ
∂
y
i
∂
y
j
d
y
i
∧
d
x
j
.
Doc 54
0.3493
-3.0000
10.0000
0.3493
testing/NTCIR/xhtml5/3/math0310053/math0310053_1_41.xhtml
∂
f
∂
x
=
0
=
∂
f
∂
y
Doc 55
0.3493
-5.0000
10.0000
0.3493
testing/NTCIR/xhtml5/2/math0101200/math0101200_1_105.xhtml
∂
f
∂
x
+
i
⋅
∂
f
∂
y
=
0
Doc 56
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Doc 57
0.3493
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testing/NTCIR/xhtml5/6/0911.4025/0911.4025_1_49.xhtml
∂
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∂
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Doc 58
0.3326
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testing/NTCIR/xhtml5/10/math9808021/math9808021_1_24.xhtml
ω
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s
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Doc 59
0.3096
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0.3096
testing/NTCIR/xhtml5/6/1001.2676/1001.2676_1_63.xhtml
d
01
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i
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y
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Doc 60
0.3096
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0.3096
testing/NTCIR/xhtml5/10/alg-geom9506006/alg-geom9506006_1_165.xhtml
δ
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f
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y
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x
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Doc 61
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testing/NTCIR/xhtml5/2/math0210361/math0210361_1_37.xhtml
f
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x
a
d
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Doc 62
0.2932
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0.2932
testing/NTCIR/xhtml5/6/0906.3212/0906.3212_1_2.xhtml
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f
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P
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Doc 63
0.2932
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0.2932
testing/NTCIR/xhtml5/1/math0009049/math0009049_1_73.xhtml
D
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f
=
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f
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+
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Doc 64
0.2932
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D
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Doc 65
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testing/NTCIR/xhtml5/7/1008.0211/1008.0211_1_26.xhtml
d
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f
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x
μ
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,
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μ
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Doc 66
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Δ
f
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f
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x
k
2
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Doc 67
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d
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(
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Doc 68
0.2538
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f
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f
x
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Doc 69
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Doc 70
0.2538
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testing/NTCIR/xhtml5/6/0903.0941/0903.0941_1_10.xhtml
div
𝒳
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Doc 71
0.2538
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∇
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α
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Doc 72
0.2538
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div
f
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Doc 73
0.2538
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0.2538
testing/NTCIR/xhtml5/3/hep-th0307166/hep-th0307166_1_95.xhtml
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f
d
x
=
⋆
d
(
f
d
y
)
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f
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d
x
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d
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Doc 74
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d
H
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H
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Doc 75
0.2424
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d
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x
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Doc 76
0.2295
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0.2295
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δ
v
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∂
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∂
y
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Doc 77
0.2143
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0.2143
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X
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Doc 78
0.2143
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0.2143
testing/NTCIR/xhtml5/9/1401.0744/1401.0744_1_37.xhtml
X
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Doc 79
0.2143
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0.2143
testing/NTCIR/xhtml5/9/1401.0744/1401.0744_1_30.xhtml
X
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Doc 80
0.2143
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∂
f
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Doc 81
0.2143
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testing/NTCIR/xhtml5/5/0711.2211/0711.2211_1_32.xhtml
a
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g
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x
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b
=
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Doc 82
0.2143
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∂
f
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=
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Doc 83
0.2143
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∂
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Doc 84
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∂
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Doc 85
0.2143
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x
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v
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Doc 86
0.2143
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∂
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Doc 87
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∂
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(
p
)
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(
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Doc 88
0.2143
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∂
f
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(
x
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=
∂
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∂
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0
(
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Doc 89
0.2143
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testing/NTCIR/xhtml5/4/math0701438/math0701438_1_133.xhtml
0
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Doc 90
0.2143
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d
f
d
x
=
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f
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y
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x
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f
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Doc 91
0.2143
-18.0000
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0.2143
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Δ
f
=
1
2
π
(
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2
f
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x
2
+
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.
Doc 92
0.1890
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0.1890
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x
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y
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y
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f
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x
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Doc 93
0.1890
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0.1890
testing/NTCIR/xhtml5/4/math0605063/math0605063_1_10.xhtml
=
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∂
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Doc 94
0.1747
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0.1747
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∂
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Doc 95
0.1747
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Doc 96
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Doc 97
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f
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Doc 98
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f
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Doc 99
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D
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|
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Doc 100
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=
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d
x
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.
Doc 101
0.1747
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0.1747
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f
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0.
Doc 102
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d
f
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(
∂
f
y
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f
x
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)
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=
0