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B06.01
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)8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

Sep 25, 2018

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Page 1: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

B06.01

Page 2: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi
Page 3: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi
Page 4: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi
Page 5: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

=

∆∂∂

+∆∂∂

+∆∂∂

+≅

∂ ∂ ∂ ∂ ∂ ∂∂ ∂

∆ ∆

Page 6: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

≅ −

Page 7: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi
Page 8: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

+++=

Page 9: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi
Page 10: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

=

∆∂∂

+∆∂∂

+∆∂∂

+≅

∂ ∂ ∂ ∂ ∂ ∂∂ ∂

Page 11: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

−≅

=

−+≅

−≅

−≅

π

−π

π−

Page 12: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

−−

Page 13: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

≅==η

−=

−=

−=

− −

Page 14: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

=

++

−<

+−

−=

−=

+

+−−

Page 15: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

+=

∆∆

− −

Page 16: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

( )

++≅

− −

− −

Page 17: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

+=

− −

Page 18: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

∆≅∆

∆≅∆

∆≅∆

∆≅∆

+

∆≅∆+∆=∆

( )( )( )( )+++

++=

( )( )

+++

+≅

Page 19: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

=∆++∆

∆+

−=∆

++∆≅∆

( )( )

+++

+

++≅

Ω Ω ΩΩ Ω Ω

−≅

++≅

Page 20: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

ΩΩ

Ω

− −

∆∆

∆ ∆ϕ

ϕ

ϕ

ϕ

Page 21: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

( ) ∆−ϕ−ϕ+∆=ϕ−ϕ−

++ϕ

=ϕ−

++ϕ+ϕ−

( ) ∆+ϕ−ϕ−=ϕ−

++ϕ+ϕ−

( )ϕ−ϕ=

++ϕ+ϕ−ϕ−

∆−∆=+

ϕ−ϕ−

+

++ϕ

=ϕ−

++ϕ+ϕ−

∆=

+ϕ−

++ϕ+ϕ+ϕ−

( )ϕ−ϕ=

++ϕ+ϕ−ϕ−

Φϕ

Φ

−=Φ

∆ ∆ Φ ϕ

Page 22: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

∆Φ=

Ω ΩΩ Ω Ω Ω Ω

Ω

+∆

≅∆

+∆≅∆

+

+∆

−≅∆

+

+

+∆

−≅∆

Page 23: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

( )( )

+++

+

+

+−≅

≅ − Ω

Ω

≅ − Ω

Ω

≅ − Ω

≅ − Ω

∆ ∆ ≠

∆Φ=

− Ω

Ω

Ω

Page 24: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

+∆=∆

∆+

−=∆

++

+∆=∆ −

+

++

+≅

+

+≅

∆+

=∆

Page 25: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

+

+−=

Page 26: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

α

=

α −

=

=

Page 27: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

γ

γ=

− −

Page 28: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

( ) −+

+=

+−

+=

γ

− −

Page 29: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi

+

+= γ

+= γ

Page 30: )8(17(6 5(*8/$'$6 - fceia.unr.edu.ar · &ygljr lqwhuqr gh sxeolfdflyq % 3ulphud hglflyq 3xeolfdgr hq ,qwhuqhw 5rvdulr $ujhqwlqd $xr kwws zzz ifhld xqu hgx du hqlfd ixhqwhv w sgi