#LyX 2.4 created this file. For more info see https://www.lyx.org/
\lyxformat 620
\begin_document
\begin_header
\save_transient_properties true
\origin /systemlyxdir/templates/Articles/
\textclass svglobal3
\begin_preamble
\RequirePackage{fix-cm}

\smartqed  % flush right qed marks, e.g. at end of proof
\end_preamble
\use_default_options true
\maintain_unincluded_children no
\language english
\language_package default
\inputencoding utf8
\fontencoding auto
\font_roman "default" "default"
\font_sans "default" "default"
\font_typewriter "default" "default"
\font_math "auto" "auto"
\font_default_family default
\use_non_tex_fonts false
\font_sc false
\font_roman_osf false
\font_sans_osf false
\font_typewriter_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
\use_microtype false
\use_dash_ligatures false
\graphics default
\default_output_format default
\output_sync 0
\bibtex_command bibtex
\index_command default
\paperfontsize default
\spacing single
\use_hyperref false
\papersize default
\use_geometry false
\use_package amsmath 1
\use_package amssymb 1
\use_package cancel 1
\use_package esint 1
\use_package mathdots 1
\use_package mathtools 1
\use_package mhchem 1
\use_package stackrel 1
\use_package stmaryrd 1
\use_package undertilde 1
\cite_engine basic
\cite_engine_type default
\biblio_style plain
\use_bibtopic false
\use_indices false
\paperorientation portrait
\suppress_date false
\justification true
\use_refstyle 0
\use_minted 0
\use_lineno 0
\index Index
\shortcut idx
\color #008000
\end_index
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
\paragraph_indentation default
\is_math_indent 0
\math_numbering_side default
\quotes_style english
\dynamic_quotes 0
\papercolumns 1
\papersides 1
\paperpagestyle default
\tablestyle default
\tracking_changes false
\output_changes false
\change_bars false
\postpone_fragile_content false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
\docbook_table_output 0
\docbook_mathml_prefix 1
\end_header

\begin_body

\begin_layout Standard
\begin_inset Note Note
status open

\begin_layout Plain Layout
This is a template \SpecialChar LyX
 file for articles for Journals of the Springer publishing group.
 How to install the svjour3 \SpecialChar LaTeX
 class to your \SpecialChar LaTeX
 system is explained in 
\begin_inset Flex URL
status open

\begin_layout Plain Layout

https://wiki.lyx.org/Examples/Springer
\end_layout

\end_inset

.
\end_layout

\end_inset


\end_layout

\begin_layout Standard
\begin_inset Note Note
status open

\begin_layout Plain Layout
possible document class options are:
\end_layout

\begin_layout Plain Layout
- 
\begin_inset Quotes eld
\end_inset


\family sans
smallextended
\family default

\begin_inset Quotes erd
\end_inset

 -> gives the second posible format
\end_layout

\begin_layout Plain Layout
- 
\begin_inset Quotes eld
\end_inset


\family sans
twocolumn
\family default

\begin_inset Quotes erd
\end_inset

 -> the two column formatting
\end_layout

\begin_layout Plain Layout
- if no option is given you get the standard/default format
\end_layout

\end_inset


\end_layout

\begin_layout Title
Insert your title here
\begin_inset Foot
status open

\begin_layout Plain Layout
Grants or other notes about the article that should go on the front page should be placed here.
 General acknowledgments should be placed at the end of the article.
\end_layout

\end_inset


\end_layout

\begin_layout Subtitle
Do you have a subtitle?
\begin_inset Newline newline
\end_inset

If so,
 write it here
\end_layout

\begin_layout Running Title
Short form of title
\begin_inset Note Note
status open

\begin_layout Plain Layout
optional
\end_layout

\end_inset


\end_layout

\begin_layout Author
First Author 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
and 
\end_layout

\end_inset

Second Author
\end_layout

\begin_layout Running Author
Short form of author list
\begin_inset Note Note
status open

\begin_layout Plain Layout
optional
\end_layout

\end_inset


\end_layout

\begin_layout Institute
F.
 Author 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
at 
\end_layout

\end_inset

first address
\begin_inset Newline newline
\end_inset

Tel.:
 +123-45-678910
\begin_inset Newline newline
\end_inset

Fax:
 +123-45-678910
\begin_inset Newline newline
\end_inset


\begin_inset Flex Email
status collapsed

\begin_layout Plain Layout
fauthor@example.com
\end_layout

\end_inset


\begin_inset Newline newline
\end_inset


\emph on
Present address:

\emph default
 of F.
 Author if needed 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
and 
\end_layout

\end_inset

S.
 Author 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
at 
\end_layout

\end_inset

second address
\end_layout

\begin_layout Date
Received:
 date / Accepted:
 date
\begin_inset Note Note
status open

\begin_layout Plain Layout
The correct dates will be entered by the editor
\end_layout

\end_inset


\end_layout

\begin_layout Abstract
Insert your abstract here.
 Include keywords,
 PACS and mathematical subject classification numbers as needed.
 
\begin_inset Flex Keywords
status open

\begin_layout Plain Layout
First keyword 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
and 
\end_layout

\end_inset

Second keyword 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
and 
\end_layout

\end_inset

More
\end_layout

\end_inset

 
\begin_inset Flex PACS
status open

\begin_layout Plain Layout
PACS code1 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
and 
\end_layout

\end_inset

PACS code2 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
and 
\end_layout

\end_inset

more
\end_layout

\end_inset

 
\begin_inset Flex Subclass
status open

\begin_layout Plain Layout
MSC code1 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
and 
\end_layout

\end_inset

MSC code2 
\begin_inset ERT
status collapsed

\begin_layout Plain Layout


\backslash
and 
\end_layout

\end_inset

more
\end_layout

\end_inset


\begin_inset Note Note
status open

\begin_layout Plain Layout
Specifying PACS and Subclass is optional.
\end_layout

\end_inset


\end_layout

\begin_layout Section
Introduction
\begin_inset CommandInset label
LatexCommand label
name "sec:Introduction"

\end_inset


\end_layout

\begin_layout Standard
Your text comes here.
 Separate text sections with
\end_layout

\begin_layout Theorem
\begin_inset Argument 1
status open

\begin_layout Plain Layout
Name/Title (optional)
\end_layout

\end_inset

a theorem
\end_layout

\begin_layout Problem
\begin_inset Argument 1
status open

\begin_layout Plain Layout
Name/Title (optional)
\end_layout

\end_inset

 The problem
\end_layout

\begin_layout Solution
\begin_inset Argument 1
status open

\begin_layout Plain Layout
Name/Title (optional)
\end_layout

\end_inset

 The solution
\end_layout

\begin_layout Section
Section title
\begin_inset CommandInset label
LatexCommand label
name "sec:Section-title"

\end_inset


\end_layout

\begin_layout Standard
Text with citations 
\begin_inset CommandInset citation
LatexCommand cite
key "whole-collection"
literal "true"

\end_inset

,
 
\begin_inset CommandInset citation
LatexCommand cite
key "techreport-full"
literal "true"

\end_inset

,
 
\begin_inset CommandInset citation
LatexCommand cite
key "RefB"
literal "true"

\end_inset

 and 
\begin_inset CommandInset citation
LatexCommand cite
key "RefJ"
literal "true"

\end_inset

.
\end_layout

\begin_layout Subsection
Subsection title
\begin_inset CommandInset label
LatexCommand label
name "subsec:Subsection-title"

\end_inset


\end_layout

\begin_layout Standard
as required.
 Don't forget to give each section and subsection a unique label (see Sect.
\begin_inset space ~
\end_inset


\begin_inset CommandInset ref
LatexCommand ref
reference "sec:Section-title"
nolink "false"

\end_inset

).
\end_layout

\begin_layout Paragraph
Paragraph headings
\end_layout

\begin_layout Standard
Use paragraph headings as needed.
\end_layout

\begin_layout Standard
\begin_inset Formula 
\begin{equation}
a^{2}+b^{2}=c^{2}
\end{equation}

\end_inset


\end_layout

\begin_layout Standard
\begin_inset Note Note
status open

\begin_layout Plain Layout
only for one column documents:
\end_layout

\end_inset


\begin_inset Float figure
placement document
alignment document
wide false
sideways false
status open

\begin_layout Plain Layout
<insert a figure here>
\end_layout

\begin_layout Plain Layout
\begin_inset Caption Standard

\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:one-column-figure"

\end_inset

Please write your figure caption here
\end_layout

\end_inset


\end_layout

\end_inset


\end_layout

\begin_layout Standard
\begin_inset Note Note
status open

\begin_layout Plain Layout
only for two column documents:
\end_layout

\end_inset


\begin_inset Float figure
placement document
alignment document
wide true
sideways false
status open

\begin_layout Plain Layout
<insert a figure here>
\end_layout

\begin_layout Plain Layout
\begin_inset Caption Standard

\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:two-column-figure"

\end_inset

Please write your figure caption here
\end_layout

\end_inset


\end_layout

\end_inset


\end_layout

\begin_layout Standard
\begin_inset Float table
placement document
alignment document
wide false
sideways false
status open

\begin_layout Plain Layout
\begin_inset Caption Standard

\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "tab:Please-write-your"

\end_inset

Please write your table caption here
\end_layout

\end_inset


\end_layout

\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
<features tabularvalignment="middle">
<column alignment="left" valignment="top">
<column alignment="left" valignment="top">
<column alignment="left" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
first
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
second
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
third
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
number
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
number
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
number
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
number
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
number
\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
number
\end_layout

\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
</cell>
</row>
</lyxtabular>

\end_inset


\end_layout

\end_inset


\end_layout

\begin_layout Acknowledgments
If you'd like to thank anyone,
 place your comments here.
\end_layout

\begin_layout Section*
—
—
—
—
—
—
—

\end_layout

\begin_layout Standard
You can either use Bib\SpecialChar TeX
:
\begin_inset Note Note
status open

\begin_layout Plain Layout
The following bibliography styles are allowed:
 
\family sans
spbasic
\family default
 (basic style,
 author-year citations),
 
\family sans
spmpsci
\family default
 (mathematics and physical sciences),
 
\family sans
spphys
\family default
 (APS-like style for physics)
\begin_inset Newline newline
\end_inset

The styles can be downloaded from 
\begin_inset Flex URL
status open

\begin_layout Plain Layout

ftp://ftp.springer.de/pub/tex/latex/svjour3/bibtex
\end_layout

\end_inset

.
\end_layout

\end_inset


\end_layout

\begin_layout Standard
\begin_inset CommandInset bibtex
LatexCommand bibtex
bibfiles "xampl"
options "bibtotoc,spbasic"

\end_inset


\end_layout

\begin_layout Section*
—
—
—
—
—
—
—

\end_layout

\begin_layout Standard
\noindent
or a plain bibliography:
\end_layout

\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "RefJ"
literal "true"

\end_inset

Author,
 Article title,
 Journal,
 Volume,
 page numbers (year)
\end_layout

\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
key "RefB"
literal "true"

\end_inset

Author,
 Book title,
 page numbers.
 Publisher,
 place (year)
\end_layout

\end_body
\end_document
