1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
|
%%
%% The LaTeX Companion, 2ed (second printing August 2004)
%%
%% Example 8-2-9 on page 474.
%%
%% Copyright (C) 2004 Frank Mittelbach, Michel Goossens,
%% Johannes Braams, David Carlisle, and Chris Rowley
%%
%% It may be distributed and/or modified under the conditions
%% of the LaTeX Project Public License, either version 1.3
%% of this license or (at your option) any later version.
%%
%% See http://www.latex-project.org/lppl.txt for details.
%%
\documentclass{ttctexamargin}
\pagestyle{empty}
\setcounter{page}{6}
\setlength\textwidth{330.59894pt}
\StartShownPreambleCommands
\usepackage{amsmath}
\newcommand\relphantom[1]{\mathrel{\phantom{#1}}}
\newcommand\ve{\varepsilon} \newcommand\tve{t_{\varepsilon}}
\newcommand\vf{\varphi} \newcommand\yvf{y_{\varphi}}
\newcommand\bfE{\mathbf{E}}
\StopShownPreambleCommands
\begin{document}
\begin{equation} \begin{split}
f_{h, \ve}(x, y)
&= \ve \bfE_{x, y} \int_0^{\tve} L_{x, \yvf(\ve u)} \vf(x) \,du \\
&= h \int L_{x, z} \vf(x) \rho_x(dz) \\
&\relphantom{=} {} + h \biggl[
\frac{1}{\tve}
\biggl( \bfE_{y} \int_0^{\tve} L_{x, y^x(s)} \vf(x) \,ds
- \tve \int L_{x, z} \vf(x) \rho_x(dz) \biggr) + \\
&\relphantom{=} \phantom{{} + h \biggl[ }
\frac{1}{\tve}
\biggl( \bfE_{y} \int_0^{\tve} L_{x, y^x(s)} \vf(x) \,ds
- \bfE_{x, y} \int_0^{\tve} L_{x, \yvf(\ve s)}
\vf(x) \,ds \biggr) \biggr]
\end{split} \end{equation}
\end{document}
|
