tangent
𝐦
1
Search
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 ]
1.0000
0.0000
2.0000
𝐦
1
1.0000
-4.0000
2.0000
(
𝐦
2
-
𝐦
1
)
1.0000
-11.0000
2.0000
𝐰
∝
𝐒
W
-
1
(
𝐦
2
-
𝐦
1
)
.
1.0000
-33.0000
2.0000
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
,
1.0000
-46.0000
2.0000
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
.
1.0000
-53.0000
2.0000
{
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
1.0000
-56.0000
2.0000
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
)
]
.
1.0000
-56.0000
2.0000
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
]
1.0000
-57.0000
2.0000
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
]
,
1.0000
-58.0000
2.0000
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
,
1.0000
-60.0000
2.0000
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
^
)
]
,