How to put curly brace in front of even number of bullets?

Question

I need to put curly braces in front of even number of bullets. The following post works perfectly for odd number of bullets.

Bullet points and curly braces

how can we modify it to for even number of bullets?

Update:

• Is is possible to have a general solution that adjusts automatically for the number of bullets that we have.

• I am using a \documentclass{beamer}. But this should not matter. I ma putting this piece of information since all posted solutions had \documentclass{article}

Snapshot of my editor(left pannel) and PDF(right panel)

Answer 1

One option that would work for any kind of elements (\item bullets (even or odd number) or whatever), would be to use TikZ and its tikzmark library. Place some marks at the desired locations and then use those marks to draw the brace with its accompanying text:

\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{tikzmark,decorations.pathreplacing}

\begin{document}

\begin{itemize}
  \item Riemann Sum\tikzmark{start}
  \item
  Trapezoidal Rule
  \item
  Simpson's 1/3 Rule
  \item
  Simpson's 3/8 Rule\tikzmark{end}
\end{itemize}

\begin{tikzpicture}[remember picture,overlay]
\draw[decorate,decoration={brace,raise=12pt}]
  ([yshift=2ex]{{pic cs:end}|-{pic cs:start}}) --
    node[xshift=15pt,anchor=west] {some test text} 
  ([yshift=-0.5ex]pic cs:end);
\end{tikzpicture}

\end{document}

Answer 2

\documentclass{article}
\usepackage{amsmath}
\begin{document}

\begin{itemize}
  \item Riemann Sum
  \item Trapezoidal Rule 
  \item Simpson's 1/3 Rule
  \item Simpson's 3/8 Rule % 
  \smash{\raisebox{.5\dimexpr3\baselineskip+4\itemsep+2\parskip}{$\left.\rule{0pt}{.5\dimexpr4\baselineskip+3\itemsep+3\parskip}\right\}\text{Newton Cotes formulae of different degrees}$}}
\end{itemize}

\end{document}

For beamer class, \linewidth is much smaller and you need to put the text into a \parbox to allow text wrap. Note also that itemize environment in beamer is totally different from that in normal classes, so, you may need some manual adjustments:

\documentclass{beamer}
\usepackage{amsmath,lmodern}
\begin{document}

\newcommand{\insm}{%
\smash{\raisebox{.5\dimexpr3\baselineskip+4\itemsep+2\parskip}{$\left.\rule{0pt}{.5\dimexpr4\baselineskip+3\itemsep+3\parskip}\right\}$\ \parbox{5.5cm}{Newton Cotes formulae of different degrees}}}
}

\begin{frame}
\begin{itemize}
  \item Riemann Sum 
  \item Trapezoidal Rule 
  \item Simpson's 1/3 Rule
  \item Simpson's 3/8 Rule \insm
\end{itemize}
\end{frame}

\end{document}

Finally, a flexible tikz solution (since I'm personally fond of tikz, I decided to post an alternative beautiful solution with tikz):

\documentclass{beamer}
\usepackage{amsmath,lmodern,calc,tikz,textcomp}
\usetikzlibrary{tikzmark,calc}
\begin{document}

\newcommand\insm{%
$\left.\rule{0pt}{2.5\baselineskip}\right\}$\parbox{\textwidth-2ex}{%
\begin{itemize}
\item[\textbullet] Newton Cotes formulae ...
\item[\textbullet] Newton Cotes formulae ...
\end{itemize}}
}    
\begin{frame}
\begin{itemize}
  \item Riemann Sum 
  \item Trapezoidal Rule\tikzmark{S}
  \item Simpson's 1/3 Rule\tikzmark{E}
  \item Simpson's 3/8 Rule 
\end{itemize}    
\tikz[remember picture, overlay]{%
\node [shift={(1ex,.6ex)},text width=6.5cm,anchor=west] at ($(pic cs:S)!.5!(pic cs:E)$){\insm};}
\end{frame}

\end{document}

Answer 3

I propose an environment, braceditemize that simulates an itemize environment, within a blockarray environment. It has an optional argument, the text that will be to the right of the brace:

\documentclass{article}
\usepackage{mathtools, etoolbox}
\usepackage{blkarray}
\usepackage[showframe, nomarginpar]{geometry}

\newcommand\tabitem{\ifbool{firstrow}{\relax}{\\[\itemsep]}\boolfalse{firstrow}\makebox[\labelwidth][r]{\textbullet}\hspace*{\labelsep}}
\newbool{firstrow}
\newenvironment{braceditemize}[1][]{%
\booltrue{firstrow}
\vspace*{\topsep}\par\noindent
\setlength\BAextrarowheight{\parsep}\begin{blockarray}{@{}l <{\enspace}\Right{\}}{#1}}}
{\rule[-\itemsep-\parsep]{0pt}{\itemsep + \parsep}\end{blockarray}}

\begin{document}

Text text text text text text text text text text text text text

\begin{braceditemize}[Newton-Cotes formulae of different degrees]
  \tabitem Riemann Sum
  \tabitem Trapezoidal Rule
  \tabitem Simpson's 1/3 Rule
  \tabitem Simpson's 3/8 Rule
\end{braceditemize}

\end{document}

Answer 4

\documentclass{article}
\usepackage{amsmath}
\begin{document}


\begin{itemize}
  \item Riemann Sum

  \item
  Trapezoidal Rule

  \item
  Simpson's 1/3 Rule
    $\smash{\left.\rule{0pt}{.5\dimexpr3\baselineskip+2\itemsep+2\parskip}\right\}
      \text{Newton Cotes formulae of different degrees}}$

  \item
  Simpson's 3/8 Rule
\end{itemize}


\begin{itemize}
  \item Riemann Sum

  \item
  Trapezoidal Rule

  \item
  Simpson's 1/3 Rule
    \smash{\raisebox{.5\dimexpr\baselineskip+\itemsep+\parskip}{%
    $\left.\rule{0pt}{.5\dimexpr4\baselineskip+3\itemsep+3\parskip}\right\}$
      Newton Cotes formulae of different degrees}}

  \item
  Simpson's 3/8 Rule
\end{itemize}

\end{document}