357 lines
5.4 KiB
Plaintext
357 lines
5.4 KiB
Plaintext
#LyX 1.6.2 created this file. For more info see http://www.lyx.org/
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\lyxformat 345
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\author ""
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\author ""
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\end_header
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\begin_body
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\begin_layout Title
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Sorting Criterion for Slip and Twin system in HCP
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\end_layout
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\begin_layout Author
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YunJo Ro
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\end_layout
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\begin_layout Standard
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This document attempts to show how we sort the order of the slip and twin
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system for Hex (or hcp) structure in lattice.f90.
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\end_layout
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\begin_layout Section
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Slip system
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\end_layout
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\begin_layout Standard
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An intersection between slip and basal plane is used in order to sort the
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slip system as illustrated in Figures
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:BasalPrismSlip"
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\end_inset
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and
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:Pyr<a><c+a>"
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\end_inset
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.
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Numbers in Figures
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:BasalPrismSlip"
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\end_inset
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and
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:Pyr<a><c+a>"
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\end_inset
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indicate the sequence of each slip system in
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\begin_inset Quotes eld
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\end_inset
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lattice.f90
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\begin_inset Quotes erd
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\end_inset
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.
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In
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\begin_inset Quotes eld
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\end_inset
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lattice.f90
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\begin_inset Quotes erd
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\end_inset
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, No.
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4 - 6 for basal and prism <a> slip do not include (Figure
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:BasalPrismSlip"
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\end_inset
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).
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In Figure
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:Pyr<a><c+a>"
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\end_inset
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, pyramidal slip <c+a> was used two criterions to sort the 12 slip systems;
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i) intersection between pyramidal slip plane and basal plnae, and ii) <a>
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direction.
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\end_layout
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\begin_layout Standard
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\begin_inset Float figure
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placement tbph
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wide false
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sideways false
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status collapsed
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\begin_layout Plain Layout
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\align center
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\begin_inset Graphics
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filename figures/slipSystemForHCP.jpg
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lyxscale 15
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scale 18
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clip
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\end_inset
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\begin_inset Caption
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\begin_layout Plain Layout
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Basal and prism <a> slip.
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\end_layout
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\end_inset
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\begin_inset CommandInset label
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LatexCommand label
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name "Fig:BasalPrismSlip"
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\end_inset
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\end_layout
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\begin_layout Plain Layout
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\end_layout
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\end_inset
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\begin_inset Float figure
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placement tbph
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wide false
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sideways false
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status collapsed
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\begin_layout Plain Layout
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\align center
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\begin_inset Graphics
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filename figures/slipSystemForHCP-pyr.jpg
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lyxscale 10
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scale 18
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clip
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\end_inset
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\begin_inset Caption
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\begin_layout Plain Layout
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Pyramical <a> and <c+a> slip.
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\end_layout
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\end_inset
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\begin_inset CommandInset label
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LatexCommand label
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name "Fig:Pyr<a><c+a>"
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\end_inset
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset Newpage clearpage
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\end_inset
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\end_layout
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\begin_layout Section
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Twin system
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\end_layout
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\begin_layout Standard
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An intersection between twin and basal plane is used in order to sort the
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twin system as illustrated in Figures
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:TwinType1"
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\end_inset
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and
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:TwinType2"
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\end_inset
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.
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Numbers in Figures
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:TwinType1"
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\end_inset
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and
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "Fig:TwinType2"
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\end_inset
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indicate the sequence of each twin system in
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\begin_inset Quotes eld
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\end_inset
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lattice.f90
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\begin_inset Quotes erd
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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\begin_inset Float figure
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placement tbph
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wide false
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sideways false
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status open
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\begin_layout Plain Layout
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\align center
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\begin_inset Graphics
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filename figures/twinSystemForHCP-1.jpg
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lyxscale 15
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scale 18
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clip
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\end_inset
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\begin_inset Caption
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\begin_layout Plain Layout
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Tensile and compressive twin type 1
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\end_layout
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\end_inset
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\begin_inset CommandInset label
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LatexCommand label
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name "Fig:TwinType1"
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\end_inset
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\end_layout
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\end_inset
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\begin_inset Float figure
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placement tbph
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wide false
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sideways false
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status open
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\begin_layout Plain Layout
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\align center
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\begin_inset Graphics
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filename figures/twinSystemForHCP-2.jpg
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lyxscale 15
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scale 18
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clip
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\end_inset
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\begin_inset Caption
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\begin_layout Plain Layout
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Tensile and compressive twin type 2
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\end_layout
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\end_inset
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\begin_inset CommandInset label
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LatexCommand label
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name "Fig:TwinType2"
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\end_inset
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\end_layout
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\end_inset
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\end_layout
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\end_body
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\end_document
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