llncs.doc

a good irainan 3d team of allame helli

see {\it Sample Input\/} on p.~\pageref{samppage}.

Then the abstract should follow. Please refer to the
demonstration file {\tt llncs.dem} for an example or
to the {\it Sample Input\/} like above.
%
\section{How to Code Your Text}
%
The contribution title and all headings should be capitalized
except for conjunctions, prepositions
(e.g.\ on, of, by, and, or, but,  from, with, without, under)
and definite and indefinite articles (the, a, an) unless they appear at
the beginning. Formula letters must be typeset as in the text.

Headings will be automatically numbered by the following codes.\\[2mm]
{\it Sample Input}
\begin{verbatim}
\section{This is a First-Order Title}
\subsection{This is a Second-Order Title}
\subsubsection{This is a Third-Order Title.}
\paragraph{This is a Fourth-Order Title.}
\end{verbatim}
\verb|\section| and \verb|\subsection| have no end punctuation.\\
\verb|\subsubsection| and  \verb|\paragraph|
need to be punctuated at the end.

In addition to the above-mentioned headings your text may be structured
by subsections indicated by run-in headings (theorem-like environments).
All the theorem-like environments are numbered automatically
throughout the sections of your file.
If you call lemma once, this will be numbered 1; if corollary follows,
this will be numbered 2; if you then call lemma again, this will be
numbered 3.
\newpage
But in case you want to reset this counter at 1 in each section,
please give the  document style option \verb|envcountreset|:
\begin{verbatim}
\documentstyle[envcountreset]{llncs}
\end{verbatim}

\vspace{.5cm}\noindent
The following possibilities for run-in headings are available:
\begin{flushleft}
\verb|\begin{lemma} Text of the lemma \end{lemma}|\quad (see Output
Sample 1)\\[2mm]
%
\verb|\begin{lemma}[additional explanation of lemma] Text of
lemma \end{lemma}| \quad (see Output Sample 2)\\[2mm]
%
\verb|\begin{lemma}(overriding automatic numbering.) Text of the lemma
\end{lemma}| \quad (see Output Sample 3)\\[2mm]
%
\verb|\begin{lemma}(x)[additional explanation of lemma] Text of
lemma\end{lemma}| \quad (see Output Sample 4)\\[2mm]
%
\verb|\begin{lemma}* Text of lemma \end{lemma}| \quad (see Output
Sample 5)\\[2mm]
%
\verb|\begin{lemma}*[additional explanation of lemma] Text of
lemma\end{lemma}| \quad (see Output Sample 6)
\end{flushleft}
%
{\it Output Sample 1}
\begin{lemma}Text of lemma\end{lemma}
%
{\it Output Sample 2}
\begin{lemma}[additional explanation of lemma] Text of lemma\end{lemma}
%
{\it Output Sample 3}
\begin{lemma}(overriding automatic numbering.) Text of lemma\end{lemma}
%
{\it Output Sample 4}
\begin{lemma}(x)[additional explanation of lemma] Text of
lemma\end{lemma}
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{\it Output Sample 5}
\begin{lemma}* Text of lemma\end{lemma}
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{\it Output Sample 6}
\begin{lemma}*[additional explanation of lemma] Text of lemma\end{lemma}
\noindent
The following variety of run-in headings are at your disposal:
\begin{alpherate}
\item
{\bf Bold} run-in headings with italicized text
as built-in environments:
\begin{verbatim}
\begin{proposition} <text> \end{proposition}
\begin{corollary} <text> \end{corollary}
\begin{lemma} <text> \end{lemma}
\begin{theorem} <text> \end{theorem}
\end{verbatim}
\item
The following must generally appear as {\it italic} run-in heading:
\begin{verbatim}
\begin{proof} <text>    \qed    \end{proof}
\end{verbatim}
\item
Further {\it italic} or {\bf bold} run-in headings may also occur:
\begin{verbatim}
\begin{definition} <text> \end{definition}
\begin{example} <text> \end{example}
\begin{remark} <text> \end{remark}
\begin{exercise} <text> \end{exercise}
\begin{problem} <text> \end{problem}
\begin{solution} <text> \end{solution}
\begin{note} <text> \end{note}
\begin{question} <text> \end{question}
\end{verbatim}
\end{alpherate}
%
\subsubsection*{Defining Your Own Environments.}
%
You can define additional environments using the command
\verb|\newstytheorem| which has five parameters. The first is the name
your environment should have (e.g.\ \verb|conjecture|).
After this follows the
font family used for this heading (please use only \verb|\bf| for bold
or \verb|\it| for italic) and the font family to use for the text of
this new environment (e.g.\ \verb|\it| or \verb|\rm|). Then the name of
an already known environment should be given in brackets (e.g.\
\verb|[theorem]|). Your new environment will be numbered like the old
one. Finally comes the real text of the new run-in heading (e.g.\
\verb|Conjecture|).\\
Sample definition:
\begin{verbatim}
\newstytheorem{conjecture}{\bf}{\it}[theorem]{Conjecture}
\end{verbatim}
\newstytheorem{conjecture}{\bf}{\it}[theorem]{Conjecture}
Use of that definition:
\begin{verbatim}
\begin{conjecture} <text> \end{conjecture}
\end{verbatim}
e.g.
\begin{verbatim}
\begin{conjecture} It is clear that ...\end{conjecture}
\end{verbatim}
Its output:
\begin{conjecture}
It is clear that \dots
\end{conjecture}
%
\noindent
{\it Sample Input}
\label{samppage}
\begin{verbatim}
\title{Hamiltonian Mechanics}

\author{Ivar Ekeland\inst{1} and Roger Temam\inst{2}}

\institute{Princeton University, Princeton NJ 08544, USA
\and
Universit\'{e} de Paris-Sud,
Laboratoire d'Analyse Num\'{e}rique, B\^{a}timent 425,\\
F-91405 Orsay Cedex, France}

\maketitle
%
\begin{abstract}
This paragraph shall summarize the contents of the paper
in short terms.
\end{abstract}
%
\section{Fixed-Period Problems: The Sublinear Case}
%
With this chapter, the preliminaries are over, and we begin the
search for periodic solutions \dots
%
\subsection{Autonomous Systems}
%
In this section we will consider the case when the Hamiltonian
$H(x)$ \dots
%
\subsubsection*{The General Case: Nontriviality.}
%
We assume that $H$ is
$\left(A_{\infty}, B_{\infty}\right)$-subqua\-dra\-tic
at infinity, for some constant \dots
%
\paragraph{Notes and Comments.}
The first results on subharmonics were \dots
%
\begin{proposition}
Assume $H'(0)=0$ and $ H(0)=0$. Set \dots
\end{proposition}
\begin{proof}[of proposition]
Condition (8) means that, for every $\delta'>\delta$, there is
some $\varepsilon>0$ such that \dots \qed
\end{proof}
%
\begin{example}[\rm (External forcing)]
Consider the system \dots
\end{example}
\begin{corollary}
Assume $H$ is $C^{2}$ and
$\left(a_{\infty}, b_{\infty}\right)$-subquadratic
at infinity. Let \dots
\end{corollary}
\end{verbatim}
\newpage
\begin{verbatim}
\begin{lemma}
Assume that $H$ is $C^{2}$ on $\bbbr^{2n}\backslash \{0\}$
and that $H''(x)$ is \dots
\end{lemma}
\begin{theorem}[(Ghoussoub-Preiss)]
Let $X$ be a Banach Space and $\Phi:X\to\bbbr$ \dots
\end{theorem}
\begin{definition}
We shall say that a $C^{1}$ function $\Phi:X\to\bbbr$
satisfies \dots
\end{definition}
\end{verbatim}
{\it Sample Output\/} (follows on the next page together with
examples of the above run-in headings)
%
\title{Hamiltonian Mechanics}

\author{Ivar Ekeland\inst{1} and Roger Temam\inst{2}}

\institute{Princeton University, Princeton NJ 08544, USA
\and
Universit\'{e} de Paris-Sud,
Laboratoire d'Analyse Num\'{e}rique, B\^{a}timent 425,\\
F-91405 Orsay Cedex, France}

\maketitle
%
\begin{abstract}
This paragraph shall summarize the contents of the paper
in short terms.
\end{abstract}
%
\section*{1\quad Fixed-Period Problems: The Sublinear Case}
%
With this chapter, the preliminaries are over, and we begin the search
for periodic solutions \dots
%
\subsection*{1.1\quad Autonomous Systems}
%
In this section we will consider the case when the Hamiltonian
$H(x)$ \dots
%
\subsubsection*{The General Case: Nontriviality.}
%
We assume that $H$ is
$\left(A_{\infty}, B_{\infty}\right)$-subqua\-dra\-tic at
infinity, for some constant \dots
%
\paragraph{Notes and Comments.}
The first results on subharmonics were \dots
%
\begin{proposition}
Assume $H'(0)=0$ and $ H(0)=0$. Set \dots
\end{proposition}
\begin{proof}[of proposition]
Condition (8) means that, for every $\delta'>\delta$, there is
some $\varepsilon>0$ such that \dots \qed
\end{proof}
%
\begin{example}[\rm (External forcing)]
Consider the system \dots
\end{example}
\begin{corollary}
Assume $H$ is $C^{2}$ and
$\left(a_{\infty}, b_{\infty}\right)$-subquadratic
at infinity. Let \dots
\end{corollary}
\begin{lemma}
Assume that $H$ is $C^{2}$ on $\bbbr^{2n}\backslash \{0\}$
and that $H''(x)$ is \dots
\end{lemma}
\begin{theorem}[(Ghoussoub-Preiss)]
Let $X$ be a Banach Space and $\Phi:X\to\bbbr$ \dots
\end{theorem}
\begin{definition}
We shall say that a $C^{1}$ function $\Phi:X\to\bbbr$ satisfies \dots
\end{definition}
%
\section{Fine Tuning of the Text}
%
The following should be used to improve the readability of the text:
\begin{flushleft}
\begin{tabular}{@{}p{.19\textwidth}p{.79\textwidth}}
\verb|\,|   & a thin space, e.g.\ between numbers or between units
              and num\-bers; a line division will not be made
              following this space\\
\verb|--|   & en dash; two strokes, without a space at either end\\
\verb*| -- |& en dash; two strokes, with  a space at either end\\
\verb|-|    & hyphen; one stroke, no space at either end\\
\verb|$-$|  & minus, in the text {\em only} \\[8mm]
{\em Input} & \verb|21\,$^{\circ}$C etc.,|\\
            &  \verb|Dr h.\,c.\,Rockefellar-Smith \dots|\\
            & \verb|20,000\,km and  Prof.\,Dr Mallory \dots|\\
            & \verb|1950--1985 \dots|\\
            & \verb|this -- written on a computer -- is now printed|\\
            & \verb|$-30$\,K \dots|\\[3mm]
{\em Output}& 21\,$^{\circ}$C etc., Dr h.\,c.\,Rockefellar-Smith \dots\\
            & 20,000\,km and  Prof.\,Dr Mallory \dots\\
            & 1950--1985 \dots\\
            & this -- written on a computer -- is now printed\\
            & $-30$\,K \dots
\end{tabular}
\end{flushleft}
%
\section {Special Typefaces}
%
Normal type (roman) need not be coded. {\it Italic}
(not {\sl slanted}) or, if necessary, {\bf boldface}
should be used for emphasis in the text.
\begin{flushleft}
\begin{tabular}{@{}p{.19\textwidth}p{.79\textwidth}}
\verb|{\it Text}|   & {\it Italicized Text}\\
\verb|{\em Text}|   & {\em Emphasized Text}\\
 & {\it If you would like to emphasize a {\em definition} within an
   italicized text (e.g.\ of a {\em theorem)} you should code the
   expression to be emphasized by} \verb|\em|.\\
\verb|{\bf Text}|   & {\bf Important Text}\\
\verb|\vec{Symbol}| & Vectors may only appear in math mode. The default
   \LaTeX{} vector symbol has been adapted to LLNCS conventions.\\
 & \verb|$\vec{A \times B\cdot C}| yields $\vec{A\times B\cdot C}$\\
 & \verb|$\vec{A}^{T} \otimes \vec{B} \otimes \vec{\hat{D}}$|\\
 & yields $\vec{A}^{T} \otimes \vec{B} \otimes \vec{\hat{D}}$
\end{tabular}
\end{flushleft}
%
\section {Footnotes}
%
Footnotes within the text should be coded:
\begin{verbatim}
\footnote{Text}
\end{verbatim}
{\it Sample Input}
\begin{flushleft}
Text with a footnote\verb|\footnote{The footnote is automatically
numbered.}| and text continues \dots
\end{flushleft}
{\it Sample Output}
\begin{flushleft}
Text with a footnote\footnote{The footnote is automatically numbered.}
and text continues \dots
\end{flushleft}
%
\section {Lists}
%
Please code lists as described below:\\[2mm]
{\it Sample  Input}
\begin{verbatim}
\begin{enumerate}
  \item First item
  \item Second item
  \begin{enumerate}
    \item First nested item
    \item Second nested item
  \end{enumerate}
  \item Third item
\end{enumerate}
\end{verbatim}
{\it Sample Output}
 \begin{enumerate}
\item First item
\item Second item
  \begin{enumerate}
    \item First nested item
    \item Second nested item
  \end{enumerate}
\item Third item
\end{enumerate}
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\section {Figures}
%
Figure legends should be inserted after (not in)
the  paragraph in which the figure is first mentioned.