tangent
Not Supported
η
=
w
o
r
k
d
o
n
e
h
e
a
t
a
b
s
o
r
b
e
d
=
Q
1
-
Q
2
Q
1
Search
Returned 90 matches (100 formulae, 77 docs)
Lookup 5.980 ms, Re-ranking 7686.522 ms
Found 64675 tuple postings, 50810 formulae, 11752 documents
[ formulas ]
[ documents ]
[ documents-by-formula ]
η
=
w
o
r
k
d
o
n
e
h
e
a
t
a
b
s
o
r
b
e
d
=
Q
1
-
Q
2
Q
1
Doc 1
1.0000, 0.0000, 32.0000, 1.1413
testing/wikipedia/v3/15167.html
η
s
t
a
g
e
=
W
o
r
k
d
o
n
e
o
n
b
l
a
d
e
E
n
e
r
g
y
s
u
p
p
l
i
e
d
p
e
r
s
t
a
g
e
=
U
Δ
V
w
Δ
h
Doc 2
0.5383, -35.0000, 13.0000, 1.0393
testing/wikipedia/v3/01000.html
η
b
=
W
o
r
k
D
o
n
e
K
i
n
e
t
i
c
E
n
e
r
g
y
S
u
p
p
l
i
e
d
=
2
U
V
w
V
1
2
Doc 2
0.5383, -35.0000, 13.0000, 1.0393
testing/wikipedia/v3/01000.html
η
c
=
u
s
e
f
u
l
h
e
a
t
r
e
c
e
i
v
e
d
b
y
t
h
e
c
o
o
l
a
n
t
i
n
c
i
d
e
n
t
r
a
d
i
a
t
i
o
n
o
n
t
h
e
c
o
l
l
e
c
t
o
r
=
Q
u
Q
c
Doc 3
0.4479, -54.0000, 9.0000, 1.2993
testing/wikipedia/v3/27776.html
η
0
=
h
e
a
t
e
n
e
r
g
y
r
e
c
e
i
v
e
d
b
y
t
h
e
r
e
c
e
i
v
e
r
i
n
c
i
d
e
n
t
r
a
d
i
a
t
i
o
n
o
n
t
h
e
c
o
l
l
e
c
t
o
r
=
Q
r
Q
c
Doc 3
0.4479, -54.0000, 9.0000, 1.2993
testing/wikipedia/v3/27776.html
C
R
=
a
p
e
r
t
u
r
e
a
r
e
a
o
f
c
o
n
c
e
n
t
r
a
t
o
r
r
e
c
e
i
v
e
r
s
u
r
f
a
c
e
a
r
e
a
=
A
c
A
r
Doc 3
0.4479, -54.0000, 9.0000, 1.2993
testing/wikipedia/v3/27776.html
D
e
f
l
e
c
t
i
o
n
=
F
o
r
c
e
S
t
i
f
f
n
e
s
s
=
F
s
t
a
t
i
c
2
k
Doc 4
0.4108, -23.0000, 6.0000, 0.4108
testing/wikipedia/v3/30147.html
e
l
o
n
g
a
t
e
d
n
e
s
s
=
l
e
n
g
t
h
w
i
d
t
h
=
a
r
e
a
(
2
d
)
2
Doc 5
0.4039, -21.0000, 5.0000, 0.4039
testing/wikipedia/v3/15922.html
Q
=
1
t
a
n
δ
=
f
0
B
Doc 6
0.3010, -3.0000, 4.0000, 0.3010
testing/wikipedia/v3/11305.html
Doc 7
0.3010, -3.0000, 4.0000, 0.3010
testing/wikipedia/v3/16204.html
f
o
r
c
e
a
r
e
a
=
N
m
2
Doc 8
0.2827, -5.0000, 5.0000, 0.2827
testing/wikipedia/v3/20292.html
e
c
k
=
t
h
e
n
u
m
b
e
r
o
f
c
-
k
p
a
i
r
s
i
n
t
h
e
d
a
t
a
n
-
1
=
1
n
-
1
{
n
c
(
n
k
-
1
)
iff
c
=k
n
c
n
k
iff
c
â k
=
e
k
c
Doc 9
0.2827, -55.0000, 5.0000, 0.2827
testing/wikipedia/v3/24688.html
C
O
P
h
e
a
t
i
n
g
=
Q
h
o
t
Q
h
o
t
-
Q
c
o
l
d
Doc 10
0.2726, -15.0000, 8.0000, 0.5116
testing/wikipedia/v3/05469.html
u
=
w
ℓ
q
=
w
a
.
Doc 11
0.2692, -2.0000, 5.0000, 0.2692
testing/wikipedia/v3/23066.html
r
=
K
s
=
a
b
a
+
b
Doc 12
0.2692, -3.0000, 4.0000, 0.2692
testing/wikipedia/v3/28185.html
r
=
w
h
=
tan
(
H
2
)
tan
(
V
2
)
Doc 13
0.2692, -8.0000, 6.0000, 0.2692
testing/wikipedia/v3/26640.html
D
=
v
a
r
o
b
s
v
a
r
b
i
n
=
s
2
n
p
(
1
-
p
)
Doc 14
0.2692, -16.0000, 5.0000, 0.4105
testing/wikipedia/v3/27573.html
ν
=
2
e
V
h
=
V
Φ
0
Doc 15
0.2505, -3.0000, 5.0000, 0.2505
testing/wikipedia/v3/27710.html
T
=
a
b
c
2
D
=
a
b
c
4
R
Doc 16
0.2505, -6.0000, 4.0000, 0.5973
testing/wikipedia/v3/01032.html
t
a
n
(
ϕ
)
=
Δ
D
Δ
L
=
C
D
C
L
Doc 17
0.2505, -8.0000, 4.0000, 0.2505
testing/wikipedia/v3/29457.html
F
=
r
p
o
i
s
o
n
e
d
r
u
n
p
o
i
s
o
n
e
d
Doc 18
0.2477, -12.0000, 7.0000, 0.2477
testing/wikipedia/v3/14752.html
C
O
P
h
e
a
t
i
n
g
=
|
Q
H
|
W
=
|
Q
C
|
+
W
W
Doc 10
0.2726, -15.0000, 8.0000, 0.5116
testing/wikipedia/v3/05469.html
cos
θ
=
adjacent
hypotenuse
=
b
h
Doc 19
0.2373, -2.0000, 4.0000, 0.4746
testing/wikipedia/v3/15320.html
sin
θ
=
opposite
hypotenuse
=
a
h
Doc 19
0.2373, -2.0000, 4.0000, 0.4746
testing/wikipedia/v3/15320.html
K
J
=
ν
U
=
2
e
h
Doc 20
0.2373, -3.0000, 4.0000, 0.2373
testing/wikipedia/v3/22981.html
U
=
1
R
=
Q
˙
A
Δ
T
=
k
L
Doc 21
0.2373, -8.0000, 4.0000, 0.2373
testing/wikipedia/v3/03456.html
U
=
H
λ
2
h
3
=
H
h
(
λ
h
)
2
.
Doc 22
0.2373, -10.0000, 5.0000, 0.2373
testing/wikipedia/v3/24009.html
λ
=
h
p
=
h
m
v
1
-
v
2
c
2
Doc 23
0.2373, -10.0000, 4.0000, 0.2373
testing/wikipedia/v3/01584.html
η
=
A
q
H
=
q
H
-
q
C
q
H
=
1
-
q
C
q
H
(
1
)
Doc 24
0.2373, -17.0000, 5.0000, 0.2373
testing/wikipedia/v3/02260.html
η
=
w
c
y
q
H
=
q
H
-
q
C
q
H
=
1
-
q
C
q
H
(
1
)
Doc 25
0.2373, -19.0000, 6.0000, 0.2373
testing/wikipedia/v3/26040.html
F
=
k
o
c
t
a
n
e
k
n
o
n
a
n
e
=
A
r
e
a
o
c
t
a
n
e
/
M
o
c
t
a
n
e
A
r
e
a
n
o
n
a
n
e
/
M
n
o
n
a
n
e
Doc 26
0.2373, -47.0000, 4.0000, 0.2373
testing/wikipedia/v3/22772.html
+
E
sig
E
LO
cos
(
(
ω
sig
-
ω
LO
)
t
+
φ
)
︸
b
e
a
t
c
o
m
p
o
n
e
n
t
.
Doc 27
0.2293, -20.0000, 4.0000, 0.2293
testing/wikipedia/v3/08609.html
X
n
=
1
1
-
p
=
N
o
N
Doc 28
0.2182, -5.0000, 4.0000, 0.2182
testing/wikipedia/v3/09303.html
P
a
b
s
o
r
b
=
⟨
S
⟩
c
=
E
f
c
Doc 29
0.2182, -10.0000, 4.0000, 0.7384
testing/wikipedia/v3/01397.html
Im
(
n
~
)
=
c
α
a
b
s
2
ω
=
λ
0
α
a
b
s
4
π
Doc 30
0.2182, -15.0000, 4.0000, 0.2182
testing/wikipedia/v3/22521.html
η
t
h
=
1
-
T
h
e
a
t
s
i
n
k
T
h
e
a
t
s
o
u
r
c
e
Doc 31
0.2182, -19.0000, 4.0000, 0.3916
testing/wikipedia/v3/03003.html
∥
v
T
a
r
g
e
t
∥
sin
(
θ
D
e
f
l
e
c
t
i
o
n
)
=
∥
v
T
o
r
p
e
d
o
∥
sin
(
θ
B
o
w
)
Doc 32
0.2182, -33.0000, 1.0000, 0.2182
testing/wikipedia/v3/27215.html
z
ϵ
=
U
Q
=
U
m
Q
m
Doc 33
0.2054, -5.0000, 5.0000, 0.2054
testing/wikipedia/v3/10942.html
η
o
=
Q
˙
t
h
A
t
θ
b
,
Doc 34
0.2054, -6.0000, 4.0000, 0.4108
testing/wikipedia/v3/15071.html
η
f
=
Q
˙
f
h
A
f
θ
b
.
Doc 34
0.2054, -6.0000, 4.0000, 0.4108
testing/wikipedia/v3/15071.html
W
min
=
Q
q
max
=
20
16.4
=
1.22
ft
Doc 35
0.2054, -7.0000, 4.0000, 1.0269
testing/wikipedia/v3/27218.html
K
=
k
k
-
1
=
θ
(
1
-
θ
)
P
Doc 36
0.2054, -8.0000, 4.0000, 0.2054
testing/wikipedia/v3/02962.html
f
=
n
1
n
0
=
2
(
1
-
a
)
a
Doc 37
0.2054, -8.0000, 4.0000, 0.2054
testing/wikipedia/v3/07485.html
η
r
=
η
η
0
=
t
ρ
t
0
ρ
0
,
Doc 38
0.2054, -9.0000, 5.0000, 0.2054
testing/wikipedia/v3/15830.html
Z
i
n
=
V
1
I
i
n
=
Z
1
-
K
.
Doc 40
0.2054, -10.0000, 4.0000, 0.2054
testing/wikipedia/v3/25847.html
q
1
=
Q
w
1
=
150
10.0
=
15.0
ft
2
/
s
Doc 35
0.2054, -7.0000, 4.0000, 1.0269
testing/wikipedia/v3/27218.html
q
2
=
Q
w
2
=
150
5.00
=
30.0
ft
2
/
s
Doc 35
0.2054, -7.0000, 4.0000, 1.0269
testing/wikipedia/v3/27218.html
q
2
=
Q
w
2
=
150
3
=
30
ft
2
/
s
Doc 35
0.2054, -7.0000, 4.0000, 1.0269
testing/wikipedia/v3/27218.html
β
T
=
v
T
c
=
β
sin
θ
1
-
β
cos
θ
Doc 39
0.2054, -10.0000, 4.0000, 0.2054
testing/wikipedia/v3/04600.html
A
q
=
L
R
q
=
L
R
0
(
1
-
q
)
.
Doc 41
0.2054, -10.0000, 4.0000, 0.2054
testing/wikipedia/v3/07084.html
t
x
=
S
S
-
L
⇒
S
=
L
1
-
x
Doc 42
0.2054, -10.0000, 3.0000, 0.2054
testing/wikipedia/v3/12238.html
ℋ
=
|
𝐪
|
2
2
C
=
c
o
n
s
t
a
n
t
Doc 43
0.2054, -10.0000, 1.0000, 0.2054
testing/wikipedia/v3/24813.html
η
M
=
W
M
Q
h
M
=
η
M
Q
Q
=
η
M
Doc 44
0.2054, -11.0000, 6.0000, 0.4108
testing/wikipedia/v3/03857.html
q
(
T
,
x
1
)
=
m
T
=
1
h
¯
(
x
1
)
Doc 45
0.2054, -11.0000, 4.0000, 0.2054
testing/wikipedia/v3/11171.html
w
m
i
n
=
Q
q
m
a
x
=
150
45.5
=
3.30
ft
Doc 35
0.2054, -7.0000, 4.0000, 1.0269
testing/wikipedia/v3/27218.html
η
L
=
W
L
Q
h
L
=
η
M
Q
η
M
η
L
Q
=
η
L
Doc 44
0.2054, -11.0000, 6.0000, 0.4108
testing/wikipedia/v3/03857.html
efficiency
=
w
c
y
q
H
=
q
H
-
q
C
q
H
=
1
-
q
C
q
H
(
4
)
Doc 47
0.2054, -20.0000, 5.0000, 0.2054
testing/wikipedia/v3/23427.html
Efficiency
=
w
c
y
q
H
=
q
H
-
q
C
q
H
=
1
-
q
C
q
H
(
1
)
Doc 46
0.2054, -20.0000, 5.0000, 0.2054
testing/wikipedia/v3/01344.html
V
t
e
t
r
a
h
e
d
r
o
n
=
1
3
V
c
u
b
e
=
1
3
1
2
3
=
2
12
Doc 48
0.1961, -27.0000, 0.0000, 0.1961
testing/wikipedia/v3/07864.html
p
=
h
h
+
t
=
5961
12000
=
0.4968
Doc 49
0.1857, -6.0000, 5.0000, 0.1857
testing/wikipedia/v3/08912.html
η
=
Δ
G
Δ
H
=
1
-
T
Δ
S
Δ
H
Doc 50
0.1857, -9.0000, 4.0000, 0.1857
testing/wikipedia/v3/07388.html
a
=
t
×
p
p
-
t
×
p
=
t
1
-
t
Doc 51
0.1857, -10.0000, 4.0000, 0.1857
testing/wikipedia/v3/06580.html
S
=
Q
p
e
r
m
e
a
t
e
Q
f
e
e
d
=
1
-
Q
c
o
n
c
e
n
t
r
a
t
e
Q
f
e
e
d
Doc 52
0.1857, -31.0000, 0.0000, 0.1857
testing/wikipedia/v3/25351.html
η
=
W
1
-
2
+
W
3
-
4
-
Q
2
-
3
=
(
u
1
-
u
2
)
+
(
u
3
-
u
4
)
-
(
u
2
-
u
3
)
Doc 53
0.1857, -32.0000, 5.0000, 0.1857
testing/wikipedia/v3/02347.html
P
a
b
s
o
r
b
Doc 54
0.1734, -1.0000, 6.0000, 0.3468
testing/wikipedia/v3/11814.html
sin
A
=
oppositeside
hypotenuse
=
a
h
.
Doc 16
0.2505, -6.0000, 4.0000, 0.5973
testing/wikipedia/v3/01032.html
cos
A
=
adjacentside
hypotenuse
=
b
h
.
Doc 16
0.2505, -6.0000, 4.0000, 0.5973
testing/wikipedia/v3/01032.html
sin
A
=
opposite
hypotenuse
=
a
h
.
Doc 55
0.1734, -5.0000, 4.0000, 0.3468
testing/wikipedia/v3/01021.html
cos
A
=
adjacent
hypotenuse
=
b
h
.
Doc 55
0.1734, -5.0000, 4.0000, 0.3468
testing/wikipedia/v3/01021.html
P
a
b
s
o
r
b
=
E
f
c
cos
α
Doc 29
0.2182, -10.0000, 4.0000, 0.7384
testing/wikipedia/v3/01397.html
P
a
b
s
o
r
b
=
4.54
R
2
c
o
s
α
Doc 29
0.2182, -10.0000, 4.0000, 0.7384
testing/wikipedia/v3/01397.html
𝐞
i
=
𝐞
^
i
h
i
=
𝐞
i
h
i
2
Doc 56
0.1734, -10.0000, 5.0000, 0.3468
testing/wikipedia/v3/13737.html
t
=
w
(
w
+
1
)
2
=
w
2
+
w
2
Doc 57
0.1734, -10.0000, 5.0000, 0.1734
testing/wikipedia/v3/07692.html
𝐞
^
i
=
𝐞
i
h
i
=
𝐞
i
|
𝐞
i
|
Doc 56
0.1734, -10.0000, 5.0000, 0.3468
testing/wikipedia/v3/13737.html
η
=
W
Q
H
=
1
-
T
C
T
H
(
3
)
Doc 58
0.1734, -10.0000, 4.0000, 0.1734
testing/wikipedia/v3/14502.html
η
=
W
Q
H
=
1
-
T
C
T
H
(
1
)
Doc 59
0.1734, -10.0000, 4.0000, 0.1734
testing/wikipedia/v3/00181.html
φ
=
[
φ
s
t
a
t
o
r
φ
r
o
t
o
r
]
Doc 60
0.1734, -10.0000, 0.0000, 0.1734
testing/wikipedia/v3/29849.html
P
a
b
s
o
r
b
=
W
c
R
2
c
o
s
α
Doc 29
0.2182, -10.0000, 4.0000, 0.7384
testing/wikipedia/v3/01397.html
E
F
=
Q
e
Q
e
+
Q
h
=
1
1
+
B
Doc 61
0.1734, -11.0000, 4.0000, 0.1734
testing/wikipedia/v3/03128.html
η
t
h
=
Desired Output
Required Input
=
W
o
u
t
′
Q
i
n
′
Doc 31
0.2182, -19.0000, 4.0000, 0.3916
testing/wikipedia/v3/03003.html
s
1
Q
1
=
s
2
Q
2
=
s
3
Q
3
.
Doc 62
0.1734, -12.0000, 5.0000, 0.3148
testing/wikipedia/v3/10957.html
R
=
I
(
r
,
d
)
δ
I
b
=
1
-
1
Q
exp
[
e
V
2
k
T
ϵ
(
1
-
Q
)
]
Doc 63
0.1734, -24.0000, 3.0000, 0.1734
testing/wikipedia/v3/24115.html
α
=
P
i
m
p
a
c
t
P
f
i
s
s
i
o
n
n
a
v
g
-
P
a
b
s
o
r
b
-
P
e
s
c
a
p
e
Doc 54
0.1734, -1.0000, 6.0000, 0.3468
testing/wikipedia/v3/11814.html
U
s
t
a
t
o
r
U
r
o
t
o
r
=
ξ
s
t
a
t
o
r
N
s
t
a
t
o
r
ξ
r
o
t
o
r
N
r
o
t
o
r
Doc 64
0.1734, -36.0000, 3.0000, 0.1734
testing/wikipedia/v3/26518.html
M
A
=
2
R
R
-
r
=
2
1
-
r
R
Doc 65
0.1623, -10.0000, 4.0000, 0.1623
testing/wikipedia/v3/23081.html
ϵ
n
=
Q
′
-
N
′
Q
′
=
x
2
n
Doc 66
0.1529, -9.0000, 3.0000, 0.1529
testing/wikipedia/v3/12021.html
C
=
Q
V
≈
Q
|
𝐄
|
d
=
A
d
ε
Doc 67
0.1529, -10.0000, 4.0000, 0.1529
testing/wikipedia/v3/07844.html
μ
=
1
det
A
=
1
[
(
1
-
κ
)
2
-
γ
2
]
Doc 68
0.1529, -12.0000, 4.0000, 0.1529
testing/wikipedia/v3/22368.html
Q
≡
P
f
u
s
P
h
e
a
t
=
1
η
h
e
a
t
⋅
f
r
e
c
i
r
c
⋅
η
e
l
e
c
⋅
(
1
-
f
c
h
)
Doc 69
0.1529, -35.0000, 3.0000, 0.1529
testing/wikipedia/v3/09106.html
Q
1
-
Q
2
Doc 1
1.0000, 0.0000, 32.0000, 1.1413
testing/wikipedia/v3/15167.html
𝐑𝐨𝐮𝐬𝐞
=
Settling velocity
Upwards velocity from lift and drag
=
w
s
κ
u
*
Doc 70
0.1413, -7.0000, 4.0000, 0.1413
testing/wikipedia/v3/01841.html
η
=
propulsive power out
shaft power in
=
thrust
⋅
axial speed
resistance torque
⋅
rotational speed
.
Doc 71
0.1413, -9.0000, 5.0000, 0.1413
testing/wikipedia/v3/15371.html
w
2
(
1
-
w
2
)
=
s
2
-
m
m
Doc 14
0.2692, -16.0000, 5.0000, 0.4105
testing/wikipedia/v3/27573.html
1
V
=
ϕ
V
f
+
1
-
ϕ
V
m
a
t
Doc 72
0.1413, -12.0000, 3.0000, 0.1413
testing/wikipedia/v3/17596.html
w
a
b
s
w
¯
a
b
s
=
w
r
e
l
w
¯
r
e
l
Doc 73
0.1413, -16.0000, 3.0000, 0.1413
testing/wikipedia/v3/02775.html
s
(
ℓ
1
,
ℓ
2
)
=
Q
(
B
,
C
)
Q
(
A
,
B
)
=
Q
R
.
Doc 62
0.1734, -12.0000, 5.0000, 0.3148
testing/wikipedia/v3/10957.html
η
Receiver
=
Q
absorbed
-
Q
lost
Q
solar
Doc 74
0.1091, -7.0000, 4.0000, 0.1091
testing/wikipedia/v3/22359.html
P
Q
=
K
(
1
-
Q
U
R
R
)
(2)
Doc 75
0.1091, -10.0000, 2.0000, 0.1091
testing/wikipedia/v3/16520.html
1
1
-
r
=
1
1
-
1
4
=
4
3
.
Doc 76
0.1091, -14.0000, 4.0000, 0.1091
testing/wikipedia/v3/00449.html
P
w
o
=
1
-
2
5
=
3
5
Doc 77
0.0764, -10.0000, 3.0000, 0.1529
testing/wikipedia/v3/08893.html
P
w
o
=
1
-
2
3
=
1
3
Doc 77
0.0764, -10.0000, 3.0000, 0.1529
testing/wikipedia/v3/08893.html