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Expression 19: "M" Subscript, "T" "v" , Baseline equals StartRoot, "v" squared plus "v" squared , EndRoot
M
T
v
=
v
2
1
t
+
v
2
2
t
equals
=
1.9 9 4 4 1 8 4 6 1 6 1
1
.
9
9
4
4
1
8
4
6
1
6
1
19
-------------------------------------------------------
-------------------------------------------------------
20
The Eigenvalues are given below, where Tr = a+d is the trace of the matrix.
The Eigenvalues are given below, where Tr = a+d is the trace of the matrix.
21
Expression 22: "T" Subscript, "r" , Baseline equals "a" plus "d"
T
r
=
a
+
d
equals
=
2
2
22
Expression 23: lambda Subscript, 1 , Baseline equals StartFraction, "T" Subscript, "r" , Baseline Over 2 , EndFraction plus StartRoot, StartFraction, "T" squared Over 4 , EndFraction minus Delta , EndRoot
λ
1
=
T
r
2
+
T
2
r
4
−
Δ
equals
=
1
1
23
Expression 24: lambda Subscript, 2 , Baseline equals StartFraction, "T" Subscript, "r" , Baseline Over 2 , EndFraction minus StartRoot, StartFraction, "T" squared Over 4 , EndFraction minus Delta , EndRoot
λ
2
=
T
r
2
−
T
2
r
4
−
Δ
equals
=
1
1
24
-------------------------------------------------------
-------------------------------------------------------
25
Determinant Area
Determinant Area
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26
Grid
Grid
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29
Eigenvectors Span
Eigenvectors Span
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47
Basis Vectors
Basis Vectors
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56
Vectors u, v, Tu, Tv
Vectors u, v, Tu, Tv
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61
Vector Coordinates
Vector Coordinates
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78
ABCD and A'B'C'D'
ABCD and A'B'C'D'
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83
-------------------------------------------------------
-------------------------------------------------------
102
Grid size (lower values give better performance):
Grid size (lower values give better performance):
103
Expression 104: "n" equals 20
n
=
2
0
0
0
100
1
0
0
104
-------------------------------------------------------
-------------------------------------------------------
105
--SirBrachistochrone.
--SirBrachistochrone.
106
107
powered by
powered by
î
î
ĵ
ĵ
"v"
v
"u"
u
A
B
C
D
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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