%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This is file abstract.tex, which is used as input by 
% tagungsband.tex (OeMG+DMV conference, Graz 2009)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% The following guidelines and the file *tagungsband.tex* have been 
% composed with the aim in mind of smoothly assembling very many abstracts 
% into one procedings volume. If you feel you really can't achieve the 
% abstract you want because of some restrictions we imposed on you, then 
% please first ask a colleague to help you, and as a last resort send an
% email to the author of this text (j.wallner@tugraz.at)

% The conference language is English, so the abstract should be in
% English, too. If for some unexpected reason it is in German, use
% \selectlanguage{german}

% Define the title of your contribution

\title{A sample abstract with instructions}

% Define authors and affiliations. For multiple authors, use the
% speaker command to indicate who is giving the presentation.
% If there is only one author, don't use the \speaker command.

\author{F. Klein\speaker\ \address{Univ. Erlangen}, \\
  D. Hilbert and C.F. Gauss \address{Univ. G\"ottingen}}

% If you use your own macros here, you cannot do much harm, even if we 
% think you shouldn't. But please don't simply copy the entire collection 
% of your macros to this place. Don't use \newtheorem, however.

% Here comes the main text of the abstract

The collection of abstracts of presentations at the 2009 \"OMG+DMV
congress is a huge task. In order to make it feasible we ask you to 
prepare your abstract in \LaTeX\ format (using the AMS extensions if you 
like), and to follow these guidelines. They basically amount to:

\begin{enumerate}
	\item avoiding conflicts between different contributions,
	\item maintaining a uniform style, and
	\item ensuring no characters get lost by file format conversion.
\end{enumerate}
	% 
 An abstract is typically shorter than this text and should not exceed one 
page. Details are as follows: Please don't use any special symbols on your 
keyboard to produce letters like \"a, {\ss}, \`E, \'c, \^u, \H o, etc., 
but employ the appropriate macros which you can see when looking at the 
source file \verb|abstract.tex|. Take a look at how to type `single' and 
``double'' quotation marks --- don't use the double quotation marks on the 
keyboard. Please be careful if you cut and paste text from other 
typesetting software, because special characters will be created where you 
don't suspect them (dots, dashes, quotation marks are particularly 
dangerous).

As to style, emphasized text looks better in {\it italics} than in a {\bf 
bold} typeface. If you wish to include equations, then the usual commands 
work unchanged. For theorems and definitions, we propose to use 
\verb|\proclaim|\,:

\proclaim Theorem 2.2B. With the `proclaim' command, a period plus 
whitespace terminates the heading of the statement, its body being 
terminated by a blank line. For purposes of demonstration consider
the following meaningless formula
	\begin{equation}
		% 
		% ctg is a `mathematical operator', so 
		% use \mathop{\rm ctg} to get the spacing right
		% 
	\mathop{\rm ctg}(1+2\langle v,v'\rangle)
		% 
		% If you want to switch to roman font within mathematics
		% you can simply use \rm
		% 
	-\sum\limits_{k\ {\rm even}} \lambda^{-\phi(k)}
		%
		% In order to include text which is typeset in the same font
		% as the surrounding text, use \text {...} or \mbox{..}
		%
	\quad \text{for}\ 
	\lambda\in\mathbb{R}^+,\  % Blackboard Bold font
	v,v'\in\mathfrak{h},\  % Fraktur font
	\phi\in\mathcal C,  % calligraphic font
	\end{equation}
which has 3 pieces of ordinary text inside mathematical text (`ctg', 
`even', `for').

% The previous blank line terminates the \proclaim command

References as in `None of [1--4] contains anything related to Equation (1) 
of Theorem 2.2B' must be done by hand, because the commands \verb|\ref|, 
\verb|\cite| are switched off. For web references, e.g.\ to the conference 
web site \URL{http:// www. math. tugraz. at/ OeMG-DMV/}, use the 
\verb|\URL| macro we provide (with a space at every possible breakpoint). 
Finally, we give a demo of literature references.

% in the \thebibliography environment, you may use \item instead of 
% \bibitem, because there is no referencing anyway

\begin{thebibliography}{9}

\item {\sc S. Lang}:  {\it Fundamentals of Differential Geometry}. 
Springer 1999.

\item {\sc J. Nash}: On $C^1$ isometric imbeddings. {\it Annals of Math.} 
{\bf 60} (1954), 383--396.

\item {\sc J. Hoschek}: Dual B\'ezier curves and surfaces. In: {\it 
Surfaces in Computer Aided Geometric Design} (R. Barnhill, W. Boehm, eds). 
North Holland, 1983, pp. 147--156.

\item {\sc D. L. Donoho}: Interpolating Wavelet Transforms. Preprint, 
Stanford Univ., 1992.

\end{thebibliography}


