Test saving in newer LyX format
Former-commit-id: 68375ee370a993015157de1d58b149c9b925b360
This commit is contained in:
parent
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c87fc66b3c
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@ -1,7 +1,9 @@
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#LyX 2.1 created this file. For more info see http://www.lyx.org/
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\lyxformat 474
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#LyX 2.3 created this file. For more info see http://www.lyx.org/
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\lyxformat 544
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\begin_document
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\begin_header
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\save_transient_properties true
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\origin unavailable
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\textclass article
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\use_default_options true
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\maintain_unincluded_children false
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@ -9,16 +11,18 @@
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\language_package default
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\inputencoding auto
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\fontencoding global
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\font_roman TeX Gyre Pagella
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||||
\font_sans default
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\font_typewriter default
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\font_math auto
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\font_roman "default" "TeX Gyre Pagella"
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\font_sans "default" "default"
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\font_typewriter "default" "default"
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\font_math "auto" "auto"
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\font_default_family default
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\use_non_tex_fonts true
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\font_sc false
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\font_osf true
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\font_sf_scale 100
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\font_tt_scale 100
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\font_sf_scale 100 100
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\font_tt_scale 100 100
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\use_microtype false
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\use_dash_ligatures true
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\graphics default
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\default_output_format pdf4
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\output_sync 0
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@ -59,6 +63,7 @@
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\suppress_date false
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\justification true
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\use_refstyle 1
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\use_minted 0
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\index Index
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\shortcut idx
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\color #008000
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@ -67,7 +72,10 @@
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\tocdepth 3
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\paragraph_separation indent
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\paragraph_indentation default
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\quotes_language english
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\is_math_indent 0
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\math_numbering_side default
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\quotes_style english
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\dynamic_quotes 0
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\papercolumns 1
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\papersides 1
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\paperpagestyle default
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@ -334,6 +342,10 @@ The purpose of SIAM Journal on Scientific Computing (SISC) is to advance
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\begin_layout Quotation
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SISC papers are classified into three categories:
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\begin_inset Separator latexpar
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\end_inset
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\end_layout
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\begin_deeper
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@ -393,6 +405,10 @@ Outline
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\begin_layout Itemize
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Intro:
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\begin_inset Separator latexpar
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\end_inset
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\end_layout
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\begin_deeper
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@ -423,6 +439,10 @@ my implementation
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\end_deeper
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\begin_layout Itemize
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Finite systems:
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\begin_inset Separator latexpar
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\end_inset
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\end_layout
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\begin_deeper
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@ -433,11 +453,19 @@ motivation (classes of problems that this can solve: response to external
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\begin_layout Itemize
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theory
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\begin_inset Separator latexpar
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\end_inset
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\end_layout
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\begin_deeper
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\begin_layout Itemize
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T-matrix definition, basics
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\begin_inset Separator latexpar
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\end_inset
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\end_layout
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\begin_deeper
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@ -465,6 +493,10 @@ Example results (or maybe rather in the end)
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\end_deeper
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\begin_layout Itemize
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Infinite lattices:
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\begin_inset Separator latexpar
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\end_inset
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\end_layout
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\begin_deeper
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@ -474,6 +506,10 @@ motivation (dispersion relations / modes, ...?)
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\begin_layout Itemize
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theory
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\begin_inset Separator latexpar
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\end_inset
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\end_layout
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\begin_deeper
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@ -520,9 +556,6 @@ filename "intro.lyx"
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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 CommandInset include
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LatexCommand include
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filename "finite.lyx"
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@ -1,7 +1,9 @@
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#LyX 2.1 created this file. For more info see http://www.lyx.org/
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\lyxformat 474
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#LyX 2.3 created this file. For more info see http://www.lyx.org/
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\lyxformat 544
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\begin_document
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\begin_header
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\save_transient_properties true
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\origin unavailable
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\textclass article
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\use_default_options true
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\maintain_unincluded_children false
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@ -9,16 +11,18 @@
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\language_package default
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\inputencoding auto
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\fontencoding global
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\font_roman TeX Gyre Pagella
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\font_sans default
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\font_typewriter default
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\font_math auto
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\font_roman "default" "TeX Gyre Pagella"
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\font_sans "default" "default"
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\font_typewriter "default" "default"
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\font_math "auto" "auto"
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\font_default_family default
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\use_non_tex_fonts true
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\font_sc false
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\font_osf true
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\font_sf_scale 100
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\font_tt_scale 100
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\font_sf_scale 100 100
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\font_tt_scale 100 100
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\use_microtype false
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\use_dash_ligatures true
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\graphics default
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\default_output_format pdf4
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\output_sync 0
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@ -58,6 +62,7 @@
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\suppress_date false
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\justification true
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\use_refstyle 1
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\use_minted 0
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\index Index
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\shortcut idx
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\color #008000
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@ -66,7 +71,10 @@
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\tocdepth 3
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\paragraph_separation indent
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\paragraph_indentation default
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\quotes_language swedish
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\is_math_indent 0
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\math_numbering_side default
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\quotes_style swedish
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\dynamic_quotes 0
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\papercolumns 1
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\papersides 1
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\paperpagestyle default
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@ -1,7 +1,9 @@
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#LyX 2.1 created this file. For more info see http://www.lyx.org/
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\lyxformat 474
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#LyX 2.3 created this file. For more info see http://www.lyx.org/
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\lyxformat 544
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\begin_document
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\begin_header
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\save_transient_properties true
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\origin unavailable
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\textclass article
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\use_default_options true
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\maintain_unincluded_children false
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|
@ -9,16 +11,18 @@
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\language_package default
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\inputencoding auto
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\fontencoding global
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\font_roman TeX Gyre Pagella
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\font_sans default
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\font_typewriter default
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\font_math auto
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||||
\font_roman "default" "TeX Gyre Pagella"
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\font_sans "default" "default"
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\font_typewriter "default" "default"
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\font_math "auto" "auto"
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\font_default_family default
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\use_non_tex_fonts true
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\font_sc false
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\font_osf true
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\font_sf_scale 100
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\font_tt_scale 100
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\font_sf_scale 100 100
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\font_tt_scale 100 100
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\use_microtype false
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\use_dash_ligatures false
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\graphics default
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\default_output_format pdf4
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\output_sync 0
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@ -59,6 +63,7 @@
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\suppress_date false
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\justification true
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\use_refstyle 1
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\use_minted 0
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\index Index
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\shortcut idx
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\color #008000
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@ -67,7 +72,10 @@
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\tocdepth 3
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\paragraph_separation indent
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\paragraph_indentation default
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\quotes_language swedish
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\is_math_indent 0
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\math_numbering_side default
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\quotes_style swedish
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\dynamic_quotes 0
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\papercolumns 1
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\papersides 1
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\paperpagestyle default
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@ -381,8 +389,8 @@ A transversal (
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with expansion coefficients
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\begin_inset Formula
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\begin{eqnarray}
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\rcoeffptlm{}1lm\left(\vect k,\vect E_{0}\right) & = & 4\pi i^{l}\vshD 1lm\left(\uvec k\right),\nonumber \\
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\rcoeffptlm{}2lm\left(\vect k,\vect E_{0}\right) & = & -4\pi i^{l+1}\vshD 2lm\left(\uvec k\right).\label{eq:plane wave expansion}
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\rcoeffptlm{}1lm\left(\vect k,\vect E_{0}\right) & = & 4\pi i^{l}\vshD1lm\left(\uvec k\right),\nonumber \\
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\rcoeffptlm{}2lm\left(\vect k,\vect E_{0}\right) & = & -4\pi i^{l+1}\vshD2lm\left(\uvec k\right).\label{eq:plane wave expansion}
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\end{eqnarray}
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\end_inset
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@ -405,6 +413,7 @@ Extinction, scattering and absorption cross sections of a single particle
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LatexCommand cite
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after "sect. 7.8.2"
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key "kristensson_scattering_2016"
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literal "true"
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\end_inset
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@ -1,7 +1,9 @@
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#LyX 2.1 created this file. For more info see http://www.lyx.org/
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\lyxformat 474
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#LyX 2.3 created this file. For more info see http://www.lyx.org/
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\lyxformat 544
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\begin_document
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\begin_header
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\save_transient_properties true
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\origin unavailable
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\textclass article
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\use_default_options true
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\maintain_unincluded_children false
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@ -9,16 +11,18 @@
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\language_package default
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\inputencoding auto
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\fontencoding global
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\font_roman TeX Gyre Pagella
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\font_sans default
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||||
\font_typewriter default
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\font_math auto
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||||
\font_roman "default" "TeX Gyre Pagella"
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\font_sans "default" "default"
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\font_typewriter "default" "default"
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||||
\font_math "auto" "auto"
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||||
\font_default_family default
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\use_non_tex_fonts true
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||||
\font_sc false
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\font_osf true
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\font_sf_scale 100
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\font_tt_scale 100
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\font_sf_scale 100 100
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\font_tt_scale 100 100
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\use_microtype false
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\use_dash_ligatures true
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\graphics default
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\default_output_format pdf4
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\output_sync 0
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@ -58,6 +62,7 @@
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\suppress_date false
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\justification true
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\use_refstyle 1
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\use_minted 0
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\index Index
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\shortcut idx
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\color #008000
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@ -66,7 +71,10 @@
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\tocdepth 3
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\paragraph_separation indent
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\paragraph_indentation default
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\quotes_language swedish
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\is_math_indent 0
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\math_numbering_side default
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\quotes_style swedish
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\dynamic_quotes 0
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||||
\papercolumns 1
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\papersides 1
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\paperpagestyle default
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@ -233,7 +241,7 @@ reference "eq:W definition"
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\end_inset
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is the asymptotic behaviour of the translation operator,
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\begin_inset Formula $S_{\vect 0α\leftarrow\vect bβ}\sim\left|\vect r_{\vect b}\right|^{-1}e^{ik_{0}\left|\vect r_{\vect b}\right|}$
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\begin_inset Formula $S_{\vect0α\leftarrow\vect bβ}\sim\left|\vect r_{\vect b}\right|^{-1}e^{ik_{0}\left|\vect r_{\vect b}\right|}$
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\end_inset
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that makes the convergence of the sum quite problematic for any
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\end_inset
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is in fact a function of a single 3d argument,
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\begin_inset Formula $S(\vect r_{\alpha}\leftarrow\vect r+\vect r_{\beta})=S(\vect 0\leftarrow\vect r+\vect r_{\beta}-\vect r_{\alpha})=S(-\vect r-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)=S(-\vect r-\vect r_{\beta}+\vect r_{\alpha})$
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\begin_inset Formula $S(\vect r_{\alpha}\leftarrow\vect r+\vect r_{\beta})=S(\vect0\leftarrow\vect r+\vect r_{\beta}-\vect r_{\alpha})=S(-\vect r-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)=S(-\vect r-\vect r_{\beta}+\vect r_{\alpha})$
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\end_inset
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.
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can be rewritten as
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\begin_inset Formula
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\[
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W_{\alpha\beta}(\vect k)=\left(2\pi\right)^{\frac{d}{2}}\uaft{(\dc{\basis u}S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0))\left(\vect k\right)}
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W_{\alpha\beta}(\vect k)=\left(2\pi\right)^{\frac{d}{2}}\uaft{(\dc{\basis u}S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0))\left(\vect k\right)}
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\]
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\end_inset
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for the Fourier transform of Dirac comb)
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\begin_inset Formula
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\begin{eqnarray}
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W_{\alpha\beta}(\vect k) & = & \left(\left(\uaft{\dc{\basis u}}\right)\ast\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)}\right)\right)(\vect k)\nonumber \\
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& = & \frac{\left|\det\recb{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\left(\dc{\recb{\basis u}}^{(d)}\ast\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)}\right)\right)\left(\vect k\right)\nonumber \\
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& = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)}\right)\left(\vect k-\vect K\right)\label{eq:W sum in reciprocal space}\\
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& = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}e^{i\left(\vect k-\vect K\right)\cdot\left(-\vect r_{\beta}+\vect r_{\alpha}\right)}\left(\uaft{S(\vect{\bullet}\leftarrow\vect 0)}\right)\left(\vect k-\vect K\right)\nonumber
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W_{\alpha\beta}(\vect k) & = & \left(\left(\uaft{\dc{\basis u}}\right)\ast\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)}\right)\right)(\vect k)\nonumber \\
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& = & \frac{\left|\det\recb{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\left(\dc{\recb{\basis u}}^{(d)}\ast\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)}\right)\right)\left(\vect k\right)\nonumber \\
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& = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}\left(\uaft{S(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)}\right)\left(\vect k-\vect K\right)\label{eq:W sum in reciprocal space}\\
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& = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}e^{i\left(\vect k-\vect K\right)\cdot\left(-\vect r_{\beta}+\vect r_{\alpha}\right)}\left(\uaft{S(\vect{\bullet}\leftarrow\vect0)}\right)\left(\vect k-\vect K\right)\nonumber
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\end{eqnarray}
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\end_inset
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@ -478,8 +486,8 @@ reference "eq:W sum in reciprocal space"
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\begin_inset Formula
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\begin{eqnarray}
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W_{\alpha\beta}\left(\vect k\right) & = & W_{\alpha\beta}^{\textup{S}}\left(\vect k\right)+W_{\alpha\beta}^{\textup{L}}\left(\vect k\right)\nonumber \\
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W_{\alpha\beta}^{\textup{S}}\left(\vect k\right) & = & \sum_{\vect R\in\basis u\ints^{d}}S^{\textup{S}}(\vect 0\leftarrow\vect R+\vect r_{\beta}-\vect r_{\alpha})e^{i\vect k\cdot\vect R}\label{eq:W Short definition}\\
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W_{\alpha\beta}^{\textup{L}}\left(\vect k\right) & = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}\left(\uaft{S^{\textup{L}}(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect 0)}\right)\left(\vect k-\vect K\right)\label{eq:W Long definition}
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W_{\alpha\beta}^{\textup{S}}\left(\vect k\right) & = & \sum_{\vect R\in\basis u\ints^{d}}S^{\textup{S}}(\vect0\leftarrow\vect R+\vect r_{\beta}-\vect r_{\alpha})e^{i\vect k\cdot\vect R}\label{eq:W Short definition}\\
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W_{\alpha\beta}^{\textup{L}}\left(\vect k\right) & = & \frac{\left|\det\rec{\basis u}\right|}{\left(2\pi\right)^{\frac{d}{2}}}\sum_{\vect K\in\recb{\basis u}\ints^{d}}\left(\uaft{S^{\textup{L}}(\vect{\bullet}-\vect r_{\beta}+\vect r_{\alpha}\leftarrow\vect0)}\right)\left(\vect k-\vect K\right)\label{eq:W Long definition}
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\end{eqnarray}
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\end_inset
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@ -1,7 +1,9 @@
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#LyX 2.1 created this file. For more info see http://www.lyx.org/
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\lyxformat 474
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#LyX 2.3 created this file. For more info see http://www.lyx.org/
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||||
\lyxformat 544
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||||
\begin_document
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\begin_header
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\save_transient_properties true
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\origin unavailable
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||||
\textclass article
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||||
\use_default_options true
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||||
\maintain_unincluded_children false
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@ -9,16 +11,18 @@
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\language_package default
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||||
\inputencoding auto
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||||
\fontencoding global
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||||
\font_roman TeX Gyre Pagella
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||||
\font_sans default
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||||
\font_typewriter default
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||||
\font_math auto
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||||
\font_roman "default" "TeX Gyre Pagella"
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||||
\font_sans "default" "default"
|
||||
\font_typewriter "default" "default"
|
||||
\font_math "auto" "auto"
|
||||
\font_default_family default
|
||||
\use_non_tex_fonts true
|
||||
\font_sc false
|
||||
\font_osf true
|
||||
\font_sf_scale 100
|
||||
\font_tt_scale 100
|
||||
\font_sf_scale 100 100
|
||||
\font_tt_scale 100 100
|
||||
\use_microtype false
|
||||
\use_dash_ligatures true
|
||||
\graphics default
|
||||
\default_output_format pdf4
|
||||
\output_sync 0
|
||||
|
@ -58,6 +62,7 @@
|
|||
\suppress_date false
|
||||
\justification true
|
||||
\use_refstyle 1
|
||||
\use_minted 0
|
||||
\index Index
|
||||
\shortcut idx
|
||||
\color #008000
|
||||
|
@ -66,7 +71,10 @@
|
|||
\tocdepth 3
|
||||
\paragraph_separation indent
|
||||
\paragraph_indentation default
|
||||
\quotes_language swedish
|
||||
\is_math_indent 0
|
||||
\math_numbering_side default
|
||||
\quotes_style swedish
|
||||
\dynamic_quotes 0
|
||||
\papercolumns 1
|
||||
\papersides 1
|
||||
\paperpagestyle default
|
||||
|
|
Loading…
Reference in New Issue