52- m Todo de Flexibilidad
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Transcript of 52- m Todo de Flexibilidad
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, = ,=1
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=
1
2
⋮=
1231
4
5
62⋮3−23−13 =
1111
2
2
22⋮
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= = 1
2⋮⋮=
1112
2
2⋮⋮
31
31 = 1
2⋮ =1231
4
562⋮3−23−13
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↔ ↔ ↔
=
=12⋮⋮
=
1
11222⋮⋮
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3 1 = 3 33111122
2
⋮⋮
=
12345
6
⋮3−23−13⋮3−23−13
3 1 = 3 3 31
m
2
1
= m f f
f
][000
000
00][0
000][
2
1
m
2
1
31 = 3331
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= 0 + 1+ 2
0 = 00 + 10 + 20 = 1 = 01 + 11 + 21 = 2 = 02 + 12 + 22 =
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= 00 10 2001 11 21
0
2
1
2
2
2
⟹ =
0() = 1 − ; 1() = ; 2() = 0 ; 0() = 0 ; 1() = 0 ; 2() = 100 = 000 + 00 0 = 301 = 10 = 010 + 01 0 = 602 = 20 = 020 + 02 0 = 011 = 110 + 11 0 = 312 = 21 = 120 + 12 0 = 022 = 22
0
+ 22
0
=
=
3 6 06 3 0
0 0
⟹ = 3 66 3 ⟹ =
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= 6
2 + 1 − 01 − 2 + 0
0 0 6
= 62 ; =
3 1 = 3 331 = (.)
31 = 33 31 (.) = = = =
= = (.)
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= = (.)
(.) (.) (.) = . =
= (.) = =
=
= (.)
(.) (.) = +
=
+
= −1 − = −1 − −1 (.)
(.) = + −1 − −1
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= −1 + − −1 (.)
= 0 = − −1 = − −1 ≠ 0 (.)
(
.
)
=
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= ∆∆ = ∆0
; = ∆ ; = 0
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= 54,17 ; = 54,17 ; =
=
2
2
1
1
0
1,5
1,5
1,5
0
0
1
1
0
0
0
5-V 4,17 5
b
a
b
a
M
M
M
M
EI
f 1
5,025,00025,05,000
003/55/6
005/63/5
= = 41,667 −12,5 −18,75−12,5 5 7,5−18,75 7,5 12,375
=
=
− −1
= −12,375−1−18,75 7,5 54,17 = 5,05
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= − −1 ∆ = 40,667 −12,5−12,5 5 − −18,757,5 12,375−1−18,75 7,5 54,17
∆ = 61,553
−3,788 ∙1
= + = +
0
57,7
74,11
26,13
;
0
0
17,4
17,4
B A
M
M
MM
0
57,7
57,743,17
b2
a2
b1
a1