X-Git-Url: https://git.lyx.org/gitweb/?a=blobdiff_plain;f=lib%2Fexamples%2Fmathed.lyx;h=53f441cef7d3b00f66539e689c40292f0e935e5c;hb=e9d9f2e27bf7d8174022a8c9fffc94c981ab7c0f;hp=c36ab5084691d330c4ec501b32073acc4ae98354;hpb=8a8724129a281cc168006a6ef79b975f3df6851a;p=lyx.git diff --git a/lib/examples/mathed.lyx b/lib/examples/mathed.lyx index c36ab50846..53f441cef7 100644 --- a/lib/examples/mathed.lyx +++ b/lib/examples/mathed.lyx @@ -1,46 +1,58 @@ -#LyX 1.3 created this file. For more info see http://www.lyx.org/ -\lyxformat 221 +#LyX 1.5.0svn created this file. For more info see http://www.lyx.org/ +\lyxformat 245 +\begin_document +\begin_header \textclass article +\begin_preamble +\usepackage{a4wide} +\end_preamble \language english \inputencoding auto \fontscheme default \graphics default \float_placement H \paperfontsize default -\spacing single -\papersize Default -\paperpackage widemarginsa4 -\use_geometry 0 +\spacing single +\papersize default +\use_geometry false \use_amsmath 1 -\use_natbib 0 -\use_numerical_citations 0 +\cite_engine basic +\use_bibtopic false \paperorientation portrait \secnumdepth 3 \tocdepth 3 \paragraph_separation indent \defskip medskip \quotes_language english -\quotes_times 2 \papercolumns 1 \papersides 1 \paperpagestyle default +\tracking_changes false +\output_changes true +\end_header -\layout Section +\begin_body + +\begin_layout Section Converting to and from mathed -\layout Standard +\end_layout + +\begin_layout Standard Math can be typed in the body of the document and converted to mathed-mode by highlighting it and typing -\family sans -M-c\SpecialChar ~ +\family sans +M-c\InsetSpace ~ m -\family default +\family default . The text can be bounded with delimiters or not. That is, highlighting any of the formulae below: -\layout Standard -\align center +\end_layout + +\begin_layout Standard +\align center \begin_inset Tabular @@ -50,175 +62,212 @@ m \begin_inset Text -\layout Standard +\begin_layout Standard -\backslash +\backslash begin{math} -\backslash +\backslash frac{abc}{xyz} -\backslash +\backslash end{math} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\backslash +\backslash ( -\backslash +\backslash frac{abc}{xyz} -\backslash +\backslash ) -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard $ -\backslash +\backslash frac{abc}{xyz} $ -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\backslash +\backslash begin{displaymath} -\backslash +\backslash frac{abc}{xyz} -\backslash +\backslash end{displaymath} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\backslash +\backslash [ -\backslash +\backslash frac{abc}{xyz} -\backslash +\backslash ] -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard will convert it to: -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Formula \begin{equation} \frac{abc}{xyz}\end{equation} -\end_inset +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard At present, no formal way exists to convert the contents of a math inset back into plain text. It can be done using a \begin_inset Quotes eld -\end_inset +\end_inset fudge \begin_inset Quotes erd -\end_inset +\end_inset however. Highlight the contents of a math inset (not the math inset itself, just the contents), but do -\emph on +\emph on not -\emph default +\emph default copy it into LyX's buffer. It is now stored in the X system buffer and can be pasted back into the document using the middle mouse button. -\layout Section +\end_layout + +\begin_layout Section Displaying LaTeX symbols -\layout Standard +\end_layout + +\begin_layout Standard Historically, LyX has provided visual support for a relatively small subset of the math symbols available in LaTeX. That changes with version 1.2; we now have visual support for most of the symbols defined in basic LaTeX and -\emph on +\emph on all -\emph default +\emph default the extra ones defined by the AMS. For completeness, the tables of symbols in Lamport's and in Goosen's books are presented below. -\layout Section +\end_layout + +\begin_layout Section Some example math tables -\layout Standard +\end_layout + +\begin_layout Standard The following tables from Goossen et al.'s \begin_inset Quotes eld -\end_inset +\end_inset The LaTeX companion \begin_inset Quotes erd -\end_inset +\end_inset should appear on the screen in all their glory. -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset ERT -status Collapsed +status collapsed -\layout Standard +\begin_layout Standard -\backslash +\backslash setcounter{table}{1} -\layout Standard +\end_layout -\backslash +\begin_layout Standard + +\end_layout + +\begin_layout Standard + +\backslash renewcommand{ -\backslash +\backslash thetable}{8. -\backslash +\backslash arabic{table}} -\end_inset +\end_layout + +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -238,286 +287,333 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\hat{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash hat{a} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\acute{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash acute{a} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\bar{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bar{a} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\dot{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash dot{a} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\breve{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash breve{a} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\check{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash check{a} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\grave{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash grave{a} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\vec{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash vec{a} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\ddot{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ddot{a} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter \begin_inset Formula $\tilde{a}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash tilde{a} -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset + +\end_layout -\layout Caption +\begin_layout Caption Math mode accents -\end_inset +\end_layout + +\end_inset + +\end_layout -\layout Standard +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -535,1066 +631,1249 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\alpha$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash alpha -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\beta$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash beta -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\gamma$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash gamma -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\delta$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash delta -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\epsilon$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash epsilon -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\varepsilon$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash varepsilon -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\zeta$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash zeta -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\eta$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash eta -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\theta$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash theta -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\vartheta$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash vartheta -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\iota$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash iota -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\kappa$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash kappa -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lambda$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lambda -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\mu$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash mu -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nu$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nu -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\xi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash xi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $o$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard o -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\pi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash pi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\varpi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash varpi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rho$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rho -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\varrho$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash varrho -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sigma$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sigma -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\varsigma$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash varsigma -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\tau$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash tau -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\upsilon$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash upsilon -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\phi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash phi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\varphi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash varphi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\chi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash chi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\psi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash psi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\omega$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash omega -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Gamma$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Gamma -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Delta$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Delta -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Theta$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Theta -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Lambda$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Lambda -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Xi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Xi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Pi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Pi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Sigma$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Sigma -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Upsilon$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Upsilon -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Phi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Phi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Psi$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Psi -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Omega$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Omega -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard + +\end_layout -\end_inset +\end_inset -\end_inset +\end_inset -\layout Caption +\end_layout + +\begin_layout Caption Greek letters -\end_inset +\end_layout + +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -1612,904 +1891,1055 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\pm$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash pm -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\cap$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash cap -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\diamond$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash diamond -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\oplus$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash oplus -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\mp$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash mp -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\cup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash cup -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigtriangleup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigtriangleup -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ominus$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ominus -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\times$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash times -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\uplus$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash uplus -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigtriangledown$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigtriangledown -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\otimes$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash otimes -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\div$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash div -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sqcap$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sqcap -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\triangleleft$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash triangleleft -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\oslash$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash oslash -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ast$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ast -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sqcup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sqcup -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\triangleright$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash triangleright -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\odot$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash odot -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\star$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash star -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\vee$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash vee -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lhd$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lhd -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigcirc$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigcirc -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\circ$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash circ -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\wedge$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash wedge -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rhd$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rhd -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\dagger$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash dagger -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bullet$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bullet -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\setminus$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash setminus -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\unlhd$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash unlhd -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ddagger$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ddagger -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\cdot$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash cdot -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\wr$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash wr -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\unrhd$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash unrhd -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\amalg$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash amalg -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset + +\end_layout -\layout Caption +\begin_layout Caption Binary operation symbols -\end_inset +\end_layout +\end_inset -\layout Standard + +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -2529,994 +2959,1161 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leq -\backslash +\backslash le -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\geq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash geq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\equiv$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash equiv -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\models$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash models -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\prec$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash prec -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\succ$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash succ -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sim$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sim -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\perp$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash perp -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\preceq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash preceq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\succeq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash succeq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\simeq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash simeq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\mid$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash mid -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ll$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ll -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\gg$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash gg -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\asymp$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash asymp -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\parallel$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash parallel -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\subset$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash subset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\supset$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash supset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\approx$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash approx -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bowtie$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bowtie -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\subseteq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash subseteq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\supseteq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash supseteq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\cong$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash cong -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Join$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Join -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sqsubset$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sqsubset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sqsupset$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sqsupset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\neq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash neq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\smile$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash smile -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sqsubseteq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sqsubseteq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sqsupseteq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sqsupseteq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\doteq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash doteq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\frown$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash frown -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\in$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash in -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ni$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ni -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\propto$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash propto -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $=$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter = -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\vdash$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash vdash -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\dashv$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash dashv -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $<$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter < -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $>$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter > -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset -\layout Caption +\end_layout + +\begin_layout Caption Relation symbols -\end_inset +\end_layout + +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -3532,762 +4129,889 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leftarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\longleftarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash longleftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\uparrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash uparrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Leftarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Leftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Longleftarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Longleftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Uparrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Uparrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\longrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash longrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\downarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash downarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Rightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Rightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Longrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Longrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Downarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Downarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leftrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leftrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\longleftrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash longleftrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\updownarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash updownarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Leftrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Leftrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Longleftrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Longleftrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Updownarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Updownarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\mapsto$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash mapsto -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\longmapsto$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash longmapsto -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nearrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nearrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\hookleftarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash hookleftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\hookrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash hookrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\searrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash searrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leftharpoonup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leftharpoonup -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightharpoonup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightharpoonup -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\swarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash swarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leftharpoondown$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leftharpoondown -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightharpoondown$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightharpoondown -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nwarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nwarrow -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset + +\end_layout -\layout Caption +\begin_layout Caption Arrow symbols -\end_inset +\end_layout + +\end_inset + +\end_layout -\layout Standard +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -4307,876 +5031,1023 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ldots$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ldots -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\cdots$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash cdots -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\vdots$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash vdots -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ddots$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ddots -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\aleph$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash aleph -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\prime$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash prime -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\forall$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash forall -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\infty$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash infty -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\hbar$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash hbar -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\emptyset$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash emptyset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\exists$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash exists -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nabla$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nabla -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\surd$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash surd -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Box$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Box -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\triangle$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash triangle -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Diamond$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Diamond -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\imath$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash imath -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\jmath$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash jmath -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ell$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ell -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\neg$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash neg -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\top$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash top -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\flat$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash flat -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\natural$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash natural -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sharp$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sharp -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\wp$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash wp -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bot$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bot -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\clubsuit$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash clubsuit -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\diamondsuit$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash diamondsuit -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\heartsuit$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash heartsuit -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\spadesuit$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash spadesuit -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\mho$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash mho -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Re$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Re -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Im$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Im -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\angle$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash angle -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\partial$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash partial -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset -\layout Caption +\end_layout + +\begin_layout Caption Miscellaneous symbols -\end_inset +\end_layout + +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -5196,378 +6067,445 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sum$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sum -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\prod$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash prod -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\coprod$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash coprod -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\int$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash int -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\oint$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash oint -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigcap$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigcap -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigcup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigcup -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigsqcup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigsqcup -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigvee$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigvee -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigwedge$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigwedge -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigodot$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigodot -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigotimes$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigotimes -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigoplus$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigoplus -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\biguplus$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash biguplus -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset + +\end_layout -\layout Caption +\begin_layout Caption Variable-sized symbols -\end_inset +\end_layout +\end_inset -\layout Standard + +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -5585,414 +6523,485 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\arccos$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\cos$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\csc$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\exp$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ker$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\limsup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\min$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sinh$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\arcsin$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\cosh$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\deg$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\gcd$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lg$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ln$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Pr$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\arctan$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\cot$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\det$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\hom$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lim$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\log$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sec$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\tan$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\arg$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\coth$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\dim$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\inf$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\liminf$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\max$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sin$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\tanh$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset -\end_inset +\end_inset -\layout Caption +\end_layout + +\begin_layout Caption Log-like symbols -\end_inset +\end_layout + +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -6010,488 +7019,575 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\uparrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash uparrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Uparrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Uparrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\downarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash downarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Downarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Downarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\{$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash { -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash } -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\updownarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash updownarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Updownarrow$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Updownarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lfloor$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lfloor -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rfloor$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rfloor -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lceil$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lceil -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rceil$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rceil -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\langle$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash langle -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rangle$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rangle -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $/$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter / -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\backslash$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash backslash -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $|$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter | -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\|$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash | -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard + +\end_layout -\end_inset +\end_inset -\end_inset +\end_inset -\layout Caption +\end_layout + +\begin_layout Caption Delimiters -\end_inset +\end_layout + +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -6505,322 +7601,377 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\widetilde{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash widetilde{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\widehat{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash widehat{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\overleftarrow{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash overleftarrow{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\overrightarrow{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash overrightarrow{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\overline{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash overline{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\underline{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash underline{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\overbrace{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash overbrace{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\underbrace{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash underbrace{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sqrt{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sqrt{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sqrt[n]{abc}\sqrt[3]{abc}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sqrt[n]{abc} -\backslash +\backslash root3{abc} -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $f'$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter f' -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\frac{abc}{xyz}$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash frac{abc}{xyz} -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset + +\end_layout -\layout Caption +\begin_layout Caption LaTeX math constructs -\end_inset +\end_layout + +\end_inset + +\end_layout -\layout Standard +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -6840,144 +7991,171 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\digamma$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash digamma -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\varkappa$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash varkappa -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\beth$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash beth -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\daleth$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash daleth -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\gimel$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash gimel -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset -\layout Caption +\end_layout + +\begin_layout Caption AMS Greek and Hebrew -\end_inset +\end_layout + +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -6995,120 +8173,143 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ulcorner$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ulcorner -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\urcorner$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash urcorner -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\llcorner$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash llcorner -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lrcorner$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lrcorner -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset + +\end_layout -\layout Caption +\begin_layout Caption AMS delimiters -\end_inset +\end_layout + +\end_inset + +\end_layout -\layout Standard +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -7124,826 +8325,965 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\dashrightarrow$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash dashrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\dashleftarrow$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash dashleftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leftleftarrows$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leftleftarrows -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leftrightarrows$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leftrightarrows -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Lleftarrow$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Lleftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\twoheadleftarrow$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash twoheadleftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leftarrowtail$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leftarrowtail -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\looparrowleft$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash looparrowleft -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leftrightharpoons$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leftrightharpoons -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\curvearrowleft$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash curvearrowleft -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\circlearrowleft$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash circlearrowleft -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Lsh$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Lsh -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\upuparrows$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash upuparrows -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\upharpoonleft$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash upharpoonleft -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\downharpoonleft$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash downharpoonleft -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\multimap$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash multimap -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leftrightsquigarrow$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leftrightsquigarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightrightarrows$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightrightarrows -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightleftarrows$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightleftarrows -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightrightarrows$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightrightarrows -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightleftarrows$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightleftarrows -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\twoheadrightarrow$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash twoheadrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightarrowtail$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightarrowtail -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\looparrowright$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash looparrowright -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightleftharpoons$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightleftharpoons -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\curvearrowright$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash curvearrowright -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\circlearrowright$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash circlearrowright -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Rsh$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Rsh -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\downdownarrows$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash downdownarrows -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\upharpoonright$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash upharpoonright -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\downharpoonright$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash downharpoonright -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rightsquigarrow$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash rightsquigarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard + +\end_layout -\end_inset +\end_inset -\end_inset +\end_inset -\layout Caption +\end_layout + +\begin_layout Caption AMS arrows -\end_inset +\end_layout + +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -7959,170 +9299,201 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nleftarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nleftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nLeftarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nLeftarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nRightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nRightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nleftrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nleftrightarrow -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\nLeftrightarrow$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash nLeftrightarrow -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset + +\end_layout -\layout Caption +\begin_layout Caption AMS negated arrows -\end_inset +\end_layout + +\end_inset + +\end_layout -\layout Standard +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -8138,1650 +9509,1921 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leqq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leqq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\leqslant$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash leqslant -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\eqslantless$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash eqslantless -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lesssim$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lesssim -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lessapprox$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lessapprox -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\approxeq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash approxeq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lessdot$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lessdot -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lll$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lll -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lessgtr$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lessgtr -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lesseqgtr$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lesseqgtr -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lesseqqgtr$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lesseqqgtr -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\doteqdot$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash doteqdot -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\risingdotseq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash risingdotseq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\fallingdotseq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash fallingdotseq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\backsim$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash backsim -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\backsimeq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash backsimeq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\subseteqq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash subseteqq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Subset$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Subset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sqsubset$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sqsubset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\preccurlyeq$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash preccurlyeq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\curlyeqprec$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash curlyeqprec -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\precsim$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash precsim -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\precapprox$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash precapprox -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\vartriangleleft$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash vartriangleleft -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard 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-\backslash +\backslash supsetneq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\varsupsetneq$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash varsupsetneq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\supsetneqq$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash supsetneqq -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\varsupsetneqq$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash varsupsetneqq -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset + +\end_layout -\layout Caption +\begin_layout Caption AMS negated binary relations -\end_inset +\end_layout + +\end_inset + +\end_layout -\layout Standard +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -11086,604 +12939,707 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\dotplus$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash dotplus -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\smallsetminus$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash smallsetminus -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Cap$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Cap -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Cup$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Cup -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\barwedge$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash barwedge -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\veebar$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash veebar -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\doublebarwedge$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash doublebarwedge -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\boxminus$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard 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Standard -\family typewriter +\family typewriter -\backslash +\backslash boxplus -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\divideontimes$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash divideontimes -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\ltimes$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash ltimes -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\rtimes$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard 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Standard -\family typewriter +\family typewriter -\backslash +\backslash curlywedge -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\curlyvee$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash curlyvee -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\circleddash$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash circleddash -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\circledast$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash circledast -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\circledcirc$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash circledcirc -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\centerdot$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash centerdot -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\intercal$ -\end_inset +\end_inset -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash intercal -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard + +\end_layout -\end_inset +\end_inset -\end_inset +\end_inset -\layout Caption +\end_layout + +\begin_layout Caption AMS binary operators -\end_inset +\end_layout + +\end_inset -\layout Standard +\end_layout + +\begin_layout Standard \begin_inset Float table placement H wide false -collapsed false +sideways false +status open -\layout Standard +\begin_layout Standard \begin_inset Tabular @@ -11699,667 +13655,782 @@ collapsed false \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\hbar$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash hbar -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\hslash$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash hslash -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\vartriangle$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash vartriangle -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\triangledown$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash triangledown -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\square$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash square -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\lozenge$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash lozenge -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\circledS$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash circledS -\end_inset 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+\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\mho$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash mho -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Finv$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Finv -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Game$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Game -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\Bbbk$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash Bbbk -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\backprime$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash backprime -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\varnothing$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash varnothing -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\blacktriangle$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash blacktriangle -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\blacktriangledown$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash blacktriangledown -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\blacksquare$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash blacksquare -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\blacklozenge$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash blacklozenge -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\bigstar$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash bigstar -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\sphericalangle$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash sphericalangle -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\complement$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash complement -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\eth$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash eth -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\diagup$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash diagup -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard \begin_inset Formula $\diagdown$ -\end_inset +\end_inset + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\family typewriter +\family typewriter -\backslash +\backslash diagdown -\end_inset +\end_layout + +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard + +\end_layout -\end_inset +\end_inset \begin_inset Text -\layout Standard +\begin_layout Standard -\end_inset +\end_layout + +\end_inset -\end_inset +\end_inset + +\end_layout -\layout Caption +\begin_layout Caption AMS miscellaneous -\end_inset +\end_layout + +\end_inset + +\end_layout -\the_end +\end_body +\end_document