So legen Sie die Breite der Gleichung so fest, dass sie in einer Spalte enthalten ist

Question

Ich verwende in meiner Latex-Quelldatei ein zweispaltiges Layout und habe eine Reihe von (Ungleichungs-)Gleichungen anzuzeigen, die ich in der linken Spalte behalten wollte. Mit der Umgebung \begin{align*} laufen die Gleichungen jedoch über die Spalte hinaus und nehmen in der rechten Spalte zusätzlichen Platz ein. Sie können sich die Bilder ansehen, die ich hier angehängt habe, um zu sehen, was passiert. Wie kann ich die Gleichungen so beschränken, dass sie nur in der ersten Spalte stehen?

Hier ist mein Latex-Quellcode. Und hier ist ein MWE, das Sie ausprobieren können.

% \documentclass[conference]{IEEEtran}
\documentclass[10pt,conference,letterpaper]{IEEEtran}

\usepackage{amsmath}
\begin{document}

as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
    \begin{align*}
        & \sum\nolimits_{e \in E^*} COST(g(e))\\
    &= \sum\nolimits_{e \in S_1} COST(g(e))
                                            + \sum\nolimits_{e \in S_2} COST(g(e))
                                            + \sum\nolimits_{e \in S_3} COST(g(e))\\
                        &\le 
                            2(1+\epsilon) COST(T^* \setminus T) 
                            +  COST(T^* \cap T)
                            + 4\epsilon OPT_n
                            + 2\epsilon OPT_n\\
                            &\le 2(1+\epsilon)(COST(T^* \setminus T) + COST(T^* \cap T))
                            + 4\epsilon OPT_n
                            + 2\epsilon OPT_n\\
                        &\le 2(1+\epsilon)COST(T^*)
                            + 4\epsilon OPT_n
                            + 2\epsilon OPT_n\\
                        &\le 4(1+\epsilon)OPT_n
                            + 4\epsilon OPT_n
                            + 2\epsilon OPT_n\\
                        &\le 4+10\epsilon OPT_n
    \end{align*}
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj

as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj




\end{document}

Answer 1

Dies ist eine mögliche Lösung. Verwendung von resizeboxFrom- graphicxPaket und parboxCombo wie unten gezeigt.

 \resizebox{0.48\textwidth}{!}{\parbox{\linewidth}{ math envrionment}}

oder

 {\tiny \begin{align*} ... \end{align*} environment} 

Code

\documentclass[10pt,conference,letterpaper]{IEEEtran}

\usepackage{amsmath,graphicx}
\begin{document}

as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
\resizebox{0.48\textwidth}{!}{\parbox{\linewidth}{
    \begin{align*}
        & \sum\nolimits_{e \in E^*} COST(g(e))\\
    &= \sum\nolimits_{e \in S_1} COST(g(e))
                                            + \sum\nolimits_{e \in S_2} COST(g(e))
                                            + \sum\nolimits_{e \in S_3} COST(g(e))\\
                        &\le 
                            2(1+\epsilon) COST(T^* \setminus T) 
                            +  COST(T^* \cap T)
                            + 4\epsilon OPT_n
                            + 2\epsilon OPT_n\\
                            &\le 2(1+\epsilon)(COST(T^* \setminus T) + COST(T^* \cap T))
                            + 4\epsilon OPT_n
                            + 2\epsilon OPT_n\\
                        &\le 2(1+\epsilon)COST(T^*)
                            + 4\epsilon OPT_n
                            + 2\epsilon OPT_n\\
                        &\le 4(1+\epsilon)OPT_n
                            + 4\epsilon OPT_n
                            + 2\epsilon OPT_n\\
                        &\le 4+10\epsilon OPT_n
    \end{align*}
}}
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs fsfjslfjslfklsfj
as abcd dsfe fsafs fkasfkds fasf skfsfj safa; ffk sdfksfjsfsjfsdkfsdfkjsf  sfsdfkdf sdfks fksfksdfks fkf sdf sf  sf sf sfa fs fsdf asf sfs fsf sf sf sf sf sfsd fs 
\end{document}

Answer 2

Ich schlage vor, dass Sie keine Schritte unternehmen, die dazu führen, dass die Schriftgröße des mathematischen Ausdrucks im Verhältnis zu der des umgebenden Textes reduziert wird. Stattdessen sollten Sie den folgenden Ansatz verfolgen:

• Verwenden Sie den \nolimitsModifikator nicht nach jedem \sumMakro. Setzen Sie die \sum{...}Ausdrücke stattdessen in \smashoperatorDirektiven; dadurch wird die Anzahl der Leerzeichen vor und nach den Summenzeichen verringert. (Das \smashoperatorMakro wird vom mathtoolsPaket bereitgestellt, das eine Erweiterung des amsmathPakets ist (und dieses lädt).)

• Fügen Sie in den Zeilen 3 und 4 zusätzliche Zeilenumbrüche ein.

• Optional: Geben Sie „COST“ und „OPT“ in Antiqua-Schrift (aufrecht) wieder. Derzeit interpretiert TeX COST und OPT als Gruppen von Variablen mit vier und drei Buchstaben, also als C O S Tund als O P T, was zu einem lockeren und nicht optimalen Abstand zwischen den Buchstaben führt. (Wenn Sie die Variablennamen kursiv statt in aufrechter Schrift wiedergeben möchten, verwenden Sie \textitanstelle von in den Makros, die und \textupdefinieren .)\COST\OPT

\begin{align*}
& \smashoperator{\sum_{e \in E^*}} \COST(g(e))\\
&= \smashoperator{\sum_{e \in S_1}} \COST(g(e)) + 
   \smashoperator{\sum_{e \in S_2}} \COST(g(e)) + 
   \smashoperator{\sum_{e \in S_3}} \COST(g(e))\\
&\le 2(1+\epsilon) \COST(T^* \setminus T) + \COST(T^* \cap T)\\
&\qquad + 4\epsilon \OPT_n + 2\epsilon \OPT_n\\
&\le 2(1+\epsilon)(\COST(T^* \setminus T) + \COST(T^* \cap T))\\
&\qquad + 4\epsilon \OPT_n + 2\epsilon \OPT_n\\
&\le 2(1+\epsilon)\COST(T^*) + 4\epsilon \OPT_n + 2\epsilon \OPT_n\\
&\le 4(1+\epsilon)\OPT_n + 4\epsilon \OPT_n + 2\epsilon \OPT_n\\
&\le 4+10\eps

ilon \OPT_n \end{align*}