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\setmainfont[Script=Devanagari]{Sanskrit 2003}

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\title{\textcolor{yellow}{Vowel Sandhi}}
\author{Amba Kulkarni}
\institute{ Fellow IIAS, Shimla}
\date{7th April 2017}

\begin{document}
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\begin{frame}

\titlepage

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\begin{frame}
\frametitle{Data for sandhi in Sanskrit}
Some examples:\\

atra + api $\Rightarrow$ atr\={a}pi\\
r\={a}ma + \={a}layam $\Rightarrow$ r\={a}m\={a}layam\\
deva + indra\d{h} $\Rightarrow$ devendra\d{h}\\
sapta + \d{r}\d{s}aya\d{h} $\Rightarrow$ saptar\d{s}aya\d{h}\\
mah\={a} + indra\d{h} $\Rightarrow$ mahendra\d{h}\\
nad\={\i} + \={a}k\d{r}ti\d{h} $\Rightarrow$ nady\={a}k\d{r}ti\d{h}\\
manu + antaram$\Rightarrow$ manv\={a}ntaram\\
anu + e\d{s}a\d{n}am $\Rightarrow$ anve\d{s}a\d{n}am\\

{\dv अत्र} + {\dv अपि }$\Rightarrow$ अ{\dv त्रापि}
{\dv राम }+ आ{\dv लयम् }$\Rightarrow$ {\dv रामालयम्}
{\dv देव }+ {\dv इन्द्रः }$\Rightarrow$ दे{\dv वेन्द्रः}
{\dv सप्त }+ {\dv ऋषयः }$\Rightarrow$ स{\dv प्तर्षयः}
{\dv महा +} इ{\dv न्द्रः }$\Rightarrow$ म{\dv हेन्द्रः}
{\dv नदी +} आ{\dv कृतिः $}\Rightarrow$ नद्{\dv याकृतिः}
{\dv मनु }+ {\dv अन्तरम्}$\Rightarrow$ {\dv मन्वान्तरम्}
{\dv अनु }+ {\dv एषणम्} $\Rightarrow$ {\dv अन्वेषणम्}
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\begin{frame}
\frametitle{Data for sandhi in Sanskrit}
\begin{tiny}
\begin{tabular}{|l||l|l|l|l|l|l|l|l|l|l|l|l|l|}\hline\hline
F/Ri&a&aa&i&ii&u&uu&\d{r}&\d{r}r&\d{l}&e&ai&o&au\\\hline
a&aa &aa &e &e &o &o &ar&ar &al&ai &ai &au &au\\
aa&aa &aa &e &e &o &o &ar&ar &al&ai &ai &au &au\\
i&ya &yaa &ii &ii &yu &yuu &y\d{r}&y\d{r}r &y\d{l}&ye &yai &yo &yau\\
ii&ya&yaa&ii &ii &yu&yuu&y\d{r}&y\d{r}r &y\d{l}&ye&yai&yo&yau\\
u&va &vaa &vi &vii &uu &uu &v\d{r}&v\d{r}r &v\d{l}&ve &vai &vo &vau\\
uu&va&vaa&vi&vii&uu &uu &v\d{r}&v\d{r}r&v\d{l}&ve&vai&vo&vau\\
\d{r}&ra &raa &ri &rii &ru &ruu &\d{r}r&\d{r}r &\d{l}&re &rai &ro &rau\\
\d{r}r&ra&raa&ri&rii&ru&ruu&\d{r}r&\d{r}r &\d{l}&re&rai&ro&rau\\
\d{l}&la &laa &li &lii &lu &luu &\d{r}&\d{r}r &\d{l}&le &lai &lo &lau\\
e&eZ &ayaa&ayi&ayii&ayu&ayuu&ay\d{r}&ay\d{r}r&ay\d{l}&aye&ayai&ayo&ayau\\
ai&aaya&aayaa&aayi&aayii&aayu&aayuu&aay\d{r}&aay\d{r}r&aay\d{l}&aaye&aayai&aayo&aayau\\
o&oZ &avaa&avi&avii&avu&avuu&av\d{r}&av\d{r}r&av\d{l}&ave&avai&avo&avau\\
au&aava&aavaa&aavi&aavii&aavu&aavuu&aav\d{r}&aav\d{r}r&aav\d{l}&aave&aavai&aavo&aavau\\ \hline
\end{tabular}
\end{tiny}\\
\vspace{0.2cm}
Observation: The rows corresponding to short and long vowels are same. So it is sufficient to write rrules for short vowels. Same rules will follow for the long vowels.
\end{frame}
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\begin{frame}
\frametitle{P{\=a}\d{n}ini's s{\=u}tras}
\begin{itemize}
\item 6.1.77 ika\d{h} ya\d{n} aci (sa\.mhit{\=a}y{\=a}m)\\
{\dv इकः यण् अचि }\\
\{i,u,\d{r},\d{l}\} $\Rightarrow$ \{y,v,r,l\} before aC, in closed contact.
\item 6.1.78 eca\d{h} ay-av-{\=a}y-{\=a}va\d{h}\\
{\dv एचोऽयवायाव}\\
\{e,ai,o,au\} $\Rightarrow$ \{ay,av,{\=a}y,{\=a}v\} before aC, in closed contact.
\item 6.1.87 {\=a}d gu\d{n}a\d{h} (sa\.hit{\=a}y{\=a}m)\\
{\dv आद् गुणः }\\
a (short or long) and a vowel are (together) replaced by gu\d{n} (a,e,o) in close contact.
\item 6.1.88 v\d{r}ddhi\d{h} eci ( {\=a}d sa\.mhit{\=a}y{\=a}m)\\
{\dv वृद्धिः एचि }\\
a (short or long) and e,o,ai,au are (together) replaced by v\d{r}ddhi ({\=a}, ai,au), in close contact.
\item 6.1.101 aka\d{h} savar\d{n}e d{\=\i}rgha\d{h} ( eka\d{h} p{\=u}rvaparayo\d{h} sa\.hit{\=a}y{\=a}m)\\
{\dv अकः सवर्णे दीर्घः }\\
aK (a,i,u,\d{r},\d{l}) and a following vowel of the same features (color) are (together) replaced by a long vowel in close contact.
\end{itemize}
\end{frame}
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\begin{frame}
\frametitle{Data for sandhi in Sanskrit}
\begin{tiny}
\begin{tabular}{|l||l|l|l|l|l|l|l|l|l|l|l|l|l|}\hline\hline
F/Ri&a&aa&i&ii&u&uu&\d{r}&\d{r}r&\d{l}&e&ai&o&au\\\hline
a&\color{green}aa &\color{green}aa &\color{green}e &\color{green}e &\color{green}o &\color{green}o &\color{green}ar&\color{green}ar &\color{green}al&\color{green}ai &\color{green}ai &\color{green}au &\color{green}au\\
i&\color{red}y\color{black}a &\color{red}y\color{black}aa &\color{green}ii &\color{green}ii &\color{red}y\color{black}u &\color{red}y\color{black}uu &\color{red}y\color{black}\d{r}&\color{red}y\color{black}\d{r}r &\color{red}y\color{black}\d{l}&\color{red}y\color{black}e &\color{red}y\color{black}ai &\color{red}y\color{black}o &\color{red}y\color{black}au\\
u&\color{red}v\color{black}a &\color{red}v\color{black}aa &\color{red}v\color{black}i &\color{red}v\color{black}ii &\color{green}uu &\color{green}uu &\color{red}v\color{black}\d{r}&\color{red}v\color{black}\d{r}r &\color{red}v\color{black}\d{l}&\color{red}v\color{black}e &\color{red}v\color{black}ai &\color{red}v\color{black}o &\color{red}v\color{black}au\\
\d{r}&\color{red}r\color{black}a &\color{red}r\color{black}aa &\color{red}r\color{black}i &\color{red}r\color{black}ii &\color{red}r\color{black}u &\color{red}r\color{black}uu &\color{green}\d{r}&\color{green}\d{r}r &\color{green}\d{l}&\color{red}r\color{black}e &\color{red}r\color{black}ai &\color{red}r\color{black}o &\color{red}r\color{black}au\\
\d{l}&\color{red}l\color{black}a &\color{red}l\color{black}aa &\color{red}l\color{black}i &\color{red}l\color{black}ii &\color{red}l\color{black}u &\color{red}l\color{black}uu &\color{green}\d{r}&\color{green}\d{r}r &\color{green}\d{l}&\color{red}l\color{black}e &\color{red}l\color{black}ai &\color{red}l\color{black}o &\color{red}l\color{black}au\\
e&e\color{blue}Z &\color{red}ay\color{black}aa&\color{red}ay\color{black}i&\color{red}ay\color{black}ii&\color{red}ay\color{black}u&\color{red}ay\color{black}uu&\color{red}ay\color{black}\d{r}&\color{red}ay\color{black}\d{r}r&\color{red}ay\color{black}\d{l}&\color{red}ay\color{black}e&\color{red}ay\color{black}ai&\color{red}ay\color{black}o&\color{red}ay\color{black}au\\
ai&\color{red}aay\color{black}a&\color{red}aay\color{black}aa&\color{red}aay\color{black}i&\color{red}aay\color{black}ii&\color{red}aay\color{black}u&\color{red}aay\color{black}uu&\color{red}aay\color{black}\d{r}&\color{red}aay\color{black}\d{r}r&\color{red}aay\color{black}\d{l}&\color{red}aay\color{black}e&\color{red}aay\color{black}ai&\color{red}aay\color{black}o&\color{red}aay\color{black}au\\
o&o\color{blue}Z &\color{red}av\color{black}aa&\color{red}av\color{black}i&\color{red}av\color{black}ii&\color{red}av\color{black}u&\color{red}av\color{black}uu&\color{red}av\color{black}\d{r}&\color{red}av\color{black}\d{r}r&\color{red}av\color{black}\d{l}&\color{red}av\color{black}e&\color{red}av\color{black}ai&\color{red}av\color{black}o&\color{red}av\color{black}au\\
au&\color{red}aav\color{black}a&\color{red}aav\color{black}aa&\color{red}aav\color{black}i&\color{red}aav\color{black}ii&\color{red}aav\color{black}u&\color{red}aav\color{black}uu&\color{red}aav\color{black}\d{r}&\color{red}aav\color{black}\d{r}r&\color{red}aav\color{black}\d{l}&\color{red}aav\color{black}e&\color{red}aav\color{black}ai&\color{red}aav\color{black}o&\color{red}aav\color{black}au\\ \hline
\end{tabular}
\end{tiny}\\
\vspace{0.2cm}
Observation: 
\begin{itemize}
\item The \color{red}First \color{black}letter undergoes change.
\item The \color{blue}Second letter \color{black}undergoes change.
\item A new var\d{n}a comes in the place of \color{green}both.
\item In all the cases where a new var\d{n}a comes, the columns for short and long vowels are the same. Hence columns for long vowels can also be eliminated.
\end{itemize}
\end{frame}
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\begin{frame}
\frametitle{Data for sandhi in Sanskrit}
So the reduced Matrix is as follows:
\begin{tiny}
\begin{tabular}{|l||l|l|l|l|l|l|l|l|l|}\hline\hline
F/I&a&i&u&\d{r}&\d{l}&e&ai&o&au\\\hline
a&aa &e &o &ar &al&ai &ai &au &au\\
%aa&aa &e &o &ar&al&ai &ai &au &au\\
i&\color{blue}ya &\color{red}ii &\color{blue}yu &\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye &\color{blue}yai &\color{blue}yo &\color{blue}yau\\
%ii&\color{blue}ya&\color{red}ii &\color{blue}yu&\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye&\color{blue}yai&\color{blue}yo&\color{blue}yau\\
u&\color{blue}va &\color{blue}vi &\color{red}uu &\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve &\color{blue}vai &\color{blue}vo &\color{blue}vau\\
%uu&\color{blue}va&\color{blue}vi&\color{red}uu &\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve&\color{blue}vai&\color{blue}vo&\color{blue}vau\\
\d{r}&\color{blue}ra &\color{blue}ri &\color{blue}ru &\color{red}\d{r}&\color{red}\d{l}&\color{blue}re &\color{blue}rai &\color{blue}ro &\color{blue}rau\\
%\d{r}r&\color{blue}ra&\color{blue}ri&\color{blue}ru&\color{red}\d{r}r&\color{red}\d{l}&\color{blue}re&\color{blue}rai&\color{blue}ro&\color{blue}rau\\
\d{l}&\color{blue}la &\color{blue}li &\color{blue}lu &\color{red}\d{r}&\color{red}\d{l}&\color{blue}le &\color{blue}lai &\color{blue}lo &\color{blue}lau\color{black}\\
e&eZ &ayi&ayu&ay\d{r}&ay\d{l}&aye&ayai&ayo&ayau\\
ai&aaya&aayi&aayu&aay\d{r}&aay\d{l}&aaye&aayai&aayo&aayau\\
o&oZ &avi&avu&av\d{r}&av\d{l}&ave&avai&avo&avau\\
au&aava&aavi&aavu&aav\d{r}&aav\d{l}&aave&aavai&aavo&aavau\\ \hline
\end{tabular}
\end{tiny}\\
\vspace{0.2cm}
\color{blue}\{i,u,\d{r},\d{l}\} Vowel $\Rightarrow$ \{y,v,r,l\} Vowel\\
\vspace{0.2cm}
{\dv इकः यण् अचि }\\
\{i,u,\d{r},\d{l}\} $\Rightarrow$ \{y,v,r,l\} before aC, in closed contact.
\end{frame}
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\begin{frame}
\frametitle{Data for sandhi in Sanskrit}
\begin{tiny}
\begin{tabular}{|l||l|l|l|l|l|l|l|l|l|}\hline\hline
F/I&a&i&u&\d{r}&\d{l}&e&ai&o&au\\\hline
a&aa &e &o &ar&al&ai &ai &au &au\\
%aa&aa &e &o &ar&ar &al&ai &ai &au &au\\
i&\color{blue}ya &\color{red}ii &\color{blue}yu &\color{blue}y\d{r} &\color{blue}y\d{l}&\color{blue}ye &\color{blue}yai &\color{blue}yo &\color{blue}yau\\
%ii&\color{blue}ya&\color{red}ii&\color{blue}yu&\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye&\color{blue}yai&\color{blue}yo&\color{blue}yau\\
u&\color{blue}va &\color{blue}vi &\color{red}uu &\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve &\color{blue}vai &\color{blue}vo &\color{blue}vau\\
%uu&\color{blue}va&\color{blue}vi&\color{red}uu&\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve&\color{blue}vai&\color{blue}vo&\color{blue}vau\\
\d{r}&\color{blue}ra &\color{blue}ri &\color{blue}ru &\color{red}\d{r}&\color{red}\d{l}&\color{blue}re &\color{blue}rai &\color{blue}ro &\color{blue}rau\\
%\d{r}r&\color{blue}ra&\color{blue}ri&\color{blue}ru&\color{red}\d{r}r&\color{red}\d{l}&\color{blue}re&\color{blue}rai&\color{blue}ro&\color{blue}rau\\
\d{l}&\color{blue}la &\color{blue}li &\color{blue}lu &\color{red}\d{r}&\color{red}\d{l}&\color{blue}le &\color{blue}lai &\color{blue}lo &\color{blue}lau\color{black}\\
e&eZ &\color{green}ayi&\color{green}ayu&\color{green}ay\d{r}&\color{green}ay\d{l}&\color{green}aye&\color{green}ayai&\color{green}ayo&\color{green}ayau\\
ai&\color{green}aaya&\color{green}aayi&\color{green}aayu&\color{green}aay\d{r}&\color{green}aay\d{l}&\color{green}aaye&\color{green}aayai&\color{green}aayo&\color{green}aayau\\
o&oZ &\color{green}avi&\color{green}avu&\color{green}av\d{r}&\color{green}av\d{l}&\color{green}ave&\color{green}avai&\color{green}avo&\color{green}avau\\
au&\color{green}aava&\color{green}aavi&\color{green}aavu&\color{green}aav\d{r}&\color{green}aav\d{l}&\color{green}aave&\color{green}aavai&\color{green}aavo&\color{green}aavau\\ \hline
\end{tabular}
\end{tiny}\\
\vspace{0.2cm}
\color{blue}\{i,u,\d{r},\d{l}\} Vowel $\Rightarrow$ \{y,v,r,l\} Vowel\\
\color{green}\{e,ai,o,au\} Vowel $\Rightarrow$ \{ay,aay,av,aav\} Vowel
\vspace{0.2cm}
{\dv एचोऽयवायाव}\\
\{e,ai,o,au\} $\Rightarrow$ \{ay,av,{\=a}y,{\=a}v\} before aC, in closed contact.
\end{frame}
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\begin{frame}
\frametitle{Data for sandhi in Sanskrit}
\begin{tiny}
\begin{tabular}{|l||l|l|l|l|l|l|l|l|l|}\hline\hline
F/I&a&i&u&\d{r}&\d{l}&e&ai&o&au\\\hline
a&aa &\color{magenta}e &\color{magenta}o &ar&al&ai &ai &au &au\\
%aa&aa &\color{magenta}e &\color{magenta}o ar&al&ai &ai &au &au\\
i&\color{blue}ya &\color{red}ii &\color{blue}yu &\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye &\color{blue}yai &\color{blue}yo &\color{blue}yau\\
%ii&\color{blue}ya&\color{red}ii &\color{blue}yu&\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye&\color{blue}yai&\color{blue}yo&\color{blue}yau\\
u&\color{blue}va &\color{blue}vi &\color{red}uu &\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve &\color{blue}vai &\color{blue}vo &\color{blue}vau\\
%uu&\color{blue}va&\color{blue}vi&\color{red}uu &\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve&\color{blue}vai&\color{blue}vo&\color{blue}vau\\
\d{r}&\color{blue}ra &\color{blue}ri &\color{blue}ru &\color{red}\d{r}&\color{red}\d{l}&\color{blue}re &\color{blue}rai &\color{blue}ro &\color{blue}rau\\
%\d{r}r&\color{blue}ra&\color{blue}ri&\color{blue}ru&\color{red}\d{r}r&\color{red}\d{l}&\color{blue}re&\color{blue}rai&\color{blue}ro&\color{blue}rau\\
\d{l}&\color{blue}la &\color{blue}li &\color{blue}lu &\color{red}\d{r}&\color{red}\d{l}&\color{blue}le &\color{blue}lai &\color{blue}lo &\color{blue}lau\color{black}\\
e&eZ &\color{green}ayi&\color{green}ayu&\color{green}ay\d{r}&\color{green}ay\d{l}&\color{green}aye&\color{green}ayai&\color{green}ayo&\color{green}ayau\\
ai&\color{green}aaya&\color{green}aayi&\color{green}aayu&\color{green}aay\d{r}&\color{green}aay\d{l}&\color{green}aaye&\color{green}aayai&\color{green}aayo&\color{green}aayau\\
o&oZ &\color{green}avi&\color{green}avu&\color{green}av\d{r}&\color{green}av\d{l}&\color{green}ave&\color{green}avai&\color{green}avo&\color{green}avau\\
au&\color{green}aava&\color{green}aavi&\color{green}aavu&\color{green}aav\d{r}&\color{green}aav\d{l}&\color{green}aave&\color{green}aavai&\color{green}aavo&\color{green}aavau\\ \hline
\end{tabular}
\end{tiny}\\
\color{blue}\{i,u,\d{r},\d{l}\} Vowel $\Rightarrow$ \{y,v,r,l\} Vowel\\
\color{green}\{e,ai,o,au\} Vowel $\Rightarrow$ \{ay,aay,av,aav\} Vowel\\
\vspace{0.5cm}
\color{magenta}a \{i,u,\d{r},\d{l}\} $\Rightarrow$ a \{e,o,ar,al\} \\
{\dv आद् गुणः }\\
a (short or long) and a vowel are (together) replaced by gu\d{n} (a,e,o) in close contact.
\end{frame}
%============================================================%
\begin{frame}
\frametitle{Data for sandhi in Sanskrit}
\begin{tiny}
\begin{tabular}{|l||l|l|l|l|l|l|l|l|l|}\hline\hline
F/I&a&i&u&\d{r}&\d{l}&e&ai&o&au\\\hline
a&aa &\color{magenta}e &\color{magenta}o &\color{magenta}ar&\color{magenta}al&\color{violet}ai &\color{violet}ai &\color{violet}au &\color{violet}au\\
%aa&aa &\color{magenta}e &\color{magenta}o &\color{magenta}ar&\color{magenta}al&\color{violet}ai &\color{violet}ai &\color{violet}au &\color{violet}au\\
i&\color{blue}ya &\color{red}ii &\color{blue}yu &\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye &\color{blue}yai &\color{blue}yo &\color{blue}yau\\
%ii&\color{blue}ya&\color{red}ii&\color{blue}yu&\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye&\color{blue}yai&\color{blue}yo&\color{blue}yau\\
u&\color{blue}va &\color{blue}vi &\color{red}uu &\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve &\color{blue}vai &\color{blue}vo &\color{blue}vau\\
%uu&\color{blue}va&\color{blue}vi&\color{red}uu &\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve&\color{blue}vai&\color{blue}vo&\color{blue}vau\\
\d{r}&\color{blue}ra &\color{blue}ri &\color{blue}ru &\color{red}\d{r}&\color{red}\d{l}&\color{blue}re &\color{blue}rai &\color{blue}ro &\color{blue}rau\\
%\d{r}r&\color{blue}ra&\color{blue}ri&\color{blue}ru&\color{red}\d{r}r&\color{red}\d{l}&\color{blue}re&\color{blue}rai&\color{blue}ro&\color{blue}rau\\
\d{l}&\color{blue}la &\color{blue}li &\color{blue}lu &\color{red}\d{r}&\color{red}\d{l}&\color{blue}le &\color{blue}lai &\color{blue}lo &\color{blue}lau\color{black}\\
e&eZ &\color{green}ayi&\color{green}ayu&\color{green}ay\d{r}&\color{green}ay\d{l}&\color{green}aye&\color{green}ayai&\color{green}ayo&\color{green}ayau\\
ai&\color{green}aaya&\color{green}aayi&\color{green}aayu&\color{green}aay\d{r}&\color{green}aay\d{l}&\color{green}aaye&\color{green}aayai&\color{green}aayo&\color{green}aayau\\
o&oZ &\color{green}avi&\color{green}avu&\color{green}av\d{r}&\color{green}av\d{l}&\color{green}ave&\color{green}avai&\color{green}avo&\color{green}avau\\
au&\color{green}aava&\color{green}aavi&\color{green}aavu&\color{green}aav\d{r}&\color{green}aav\d{l}&\color{green}aave&\color{green}aavai&\color{green}aavo&\color{green}aavau\\ \hline
\end{tabular}
\end{tiny}\\
\color{blue}\{i,u,\d{r},\d{l}\} Vowel $\Rightarrow$ \{y,v,r,l\} Vowel\\
\color{green}\{e,ai,o,au\} Vowel $\Rightarrow$ \{ay,aay,av,aav\} Vowel\\
\color{magenta}a \{i,u,\d{r},\d{l}\} $\Rightarrow$ a \{e,o,ar,al\} \\
\vspace{0.2cm}
\color{violet}a \{e,o,ai,au\} $\Rightarrow$ a \{ai,au,ai,au\} \\
{\dv वृद्धिः एचि }\\
a (short or long) and e,o,ai,au are (together) replaced by v\d{r}ddhi ({\=a}, ai,au), in close contact.
\end{frame}
%============================================================%
\begin{frame}
\frametitle{Data for sandhi in Sanskrit}
\begin{tiny}
\begin{tabular}{|l||l|l|l|l|l|l|l|l|l|}\hline\hline
F/I&a&i&u&\d{r}&\d{l}&e&ai&o&au\\\hline
a&\color{red}aa &\color{magenta}e &\color{magenta}o &\color{magenta}ar &\color{magenta}al&\color{violet}ai &\color{violet}ai &\color{violet}au &\color{violet}au\\
%aa&\color{red}aa&\color{magenta}e &\color{magenta}o &\color{magenta}ar&\color{magenta}al&\color{violet}ai &\color{violet}ai &\color{violet}au &\color{violet}au\\
i&\color{blue}ya &\color{red}ii &\color{blue}yu &\color{blue}y\d{r} &\color{blue}y\d{l}&\color{blue}ye &\color{blue}yai &\color{blue}yo &\color{blue}yau\\
%ii&\color{blue}ya&\color{red}ii &\color{blue}yu&\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye&\color{blue}yai&\color{blue}yo&\color{blue}yau\\
u&\color{blue}va &\color{blue}vi &\color{red}uu &\color{blue}v\d{r} &\color{blue}v\d{l}&\color{blue}ve &\color{blue}vai &\color{blue}vo &\color{blue}vau\\
%uu&\color{blue}va&\color{blue}vi&\color{red}uu &\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve&\color{blue}vai&\color{blue}vo&\color{blue}vau\\
\d{r}&\color{blue}ra &\color{blue}ri &\color{blue}ru &\color{red}\d{r}&\color{red}\d{l}&\color{blue}re &\color{blue}rai &\color{blue}ro &\color{blue}rau\\
%\d{r}r&\color{blue}ra&\color{blue}ri&\color{blue}ru&\color{red}\d{r}r&\color{red}\d{l}&\color{blue}re&\color{blue}rai&\color{blue}ro&\color{blue}rau\\
\d{l}&\color{blue}la &\color{blue}li &\color{blue}lu &\color{red}\d{r} &\color{red}\d{l}&\color{blue}le &\color{blue}lai &\color{blue}lo &\color{blue}lau\color{black}\\
e&eZ &\color{green}ayi&\color{green}ayu&\color{green}ay\d{r}&\color{green}ay\d{l}&\color{green}aye&\color{green}ayai&\color{green}ayo&\color{green}ayau\\
ai&\color{green}aaya&\color{green}aayi&\color{green}aayu&\color{green}aay\d{r}&\color{green}aay\d{l}&\color{green}aaye&\color{green}aayai&\color{green}aayo&\color{green}aayau\\
o&oZ &\color{green}avi&\color{green}avu&\color{green}av\d{r}&\color{green}av\d{l}&\color{green}ave&\color{green}avai&\color{green}avo&\color{green}avau\\
au&\color{green}aava&\color{green}aavi&\color{green}aavu&\color{green}aav\d{r}&\color{green}aav\d{l}&\color{green}aave&\color{green}aavai&\color{green}aavo&\color{green}aavau\\ \hline
\end{tabular}
\end{tiny}\\
\color{blue}\{i,u,\d{r},\d{l}\} Vowel $\Rightarrow$ \{y,v,r,l\} Vowel\\
\color{green}\{e,ai,o,au\} Vowel $\Rightarrow$ \{ay,aay,av,aav\} Vowel\\
\color{magenta}a \{i,u,\d{r},\d{l}\} $\Rightarrow$ a \{e,o,ar,al\} \\
\color{violet}a \{e,o,ai,au\} $\Rightarrow$ a \{ai,au,ai,au\} \\
\vspace{0.2cm}
\color{red} X X $\Rightarrow$ Long X, where X = \{a,i,u,\d{q},\d{l}\} \\
{\dv अकः सवर्णे दीर्घः }\\
aK (a,i,u,\d{r},\d{l}) and a following vowel of the same features (color) are (together) replaced by a long vowel in close contact.
\end{frame}
%============================================================%
\begin{frame}
\frametitle{Data for sandhi in Sanskrit}
\begin{tiny}
\begin{tabular}{|l||l|l|l|l|l|l|l|l|l|}\hline\hline
F/I&a&i&u&\d{r}&\d{l}&e&ai&o&au\\\hline
a&\color{red}aa &\color{magenta}e &\color{magenta}o &\color{magenta}ar&\color{magenta}al&\color{violet}ai &\color{violet}ai &\color{violet}au &\color{violet}au\\
%aa&\color{red}aa &\color{magenta}e &\color{magenta}o &\color{magenta}ar&\color{magenta}al&\color{violet}ai &\color{violet}ai &\color{violet}au &\color{violet}au\\
i&\color{blue}ya &\color{red}ii &\color{blue}yu &\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye &\color{blue}yai &\color{blue}yo &\color{blue}yau\\
%ii&\color{blue}ya&\color{red}ii &\color{blue}yu&\color{blue}y\d{r}&\color{blue}y\d{l}&\color{blue}ye&\color{blue}yai&\color{blue}yo&\color{blue}yau\\
u&\color{blue}va &\color{blue}vi &\color{red}uu &\color{blue}v\d{r} &\color{blue}v\d{l}&\color{blue}ve &\color{blue}vai &\color{blue}vo &\color{blue}vau\\
%uu&\color{blue}va&\color{blue}vi&\color{red}uu &\color{blue}v\d{r}&\color{blue}v\d{l}&\color{blue}ve&\color{blue}vai&\color{blue}vo&\color{blue}vau\\
\d{r}&\color{blue}ra &\color{blue}ri &\color{blue}ru &\color{red}\d{r}&\color{red}\d{l}&\color{blue}re &\color{blue}rai &\color{blue}ro &\color{blue}rau\\
%\d{r}r&\color{blue}ra&\color{blue}ri&\color{blue}ru&\color{red}\d{r}r&\color{red}\d{l}&\color{blue}re&\color{blue}rai&\color{blue}ro&\color{blue}rau\\
\d{l}&\color{blue}la &\color{blue}li &\color{blue}lu &\color{red}\d{r}&\color{red}\d{l}&\color{blue}le &\color{blue}lai &\color{blue}lo &\color{blue}lau\\
e&\color{yellow}eZ&\color{green}ayi&\color{green}ayu&\color{green}ay\d{r}&\color{green}ay\d{l}&\color{green}aye&\color{green}ayai&\color{green}ayo&\color{green}ayau\\
ai&\color{green}aaya&\color{green}aayi&\color{green}aayu&\color{green}aay\d{r}&\color{green}aay\d{l}&\color{green}aaye&\color{green}aayai&\color{green}aayo&\color{green}aayau\\
o&\color{yellow}oZ&\color{green}avi&\color{green}avu&\color{green}av\d{r}&\color{green}av\d{l}&\color{green}ave&\color{green}avai&\color{green}avo&\color{green}avau\\
au&\color{green}aava&\color{green}aavi&\color{green}aavu&\color{green}aav\d{r}&\color{green}aav\d{l}&\color{green}aave&\color{green}aavai&\color{green}aavo&\color{green}aavau\\ \hline
\end{tabular}
\end{tiny}\\
\color{blue}\{i,u,\d{r},\d{l}\} Vowel $\Rightarrow$ \{y,v,r,l\} Vowel\\
\color{green}\{e,ai,o,au\} Vowel $\Rightarrow$ \{ay,aay,av,aav\} Vowel\\
\color{magenta}a \{i,u,\d{r},\d{l}\} $\Rightarrow$ a \{e,o,ar,al\} \\
\color{violet}a \{e,o,ai,au\} $\Rightarrow$ a \{ai,au,ai,au\} \\
\color{red} X X $\Rightarrow$ Long X, where X = \{a,i,u,\d{q},\d{l}\} \\
\color{yellow} \{e,o\} $\Rightarrow$ \{e,o\}\\ 
\end{frame}
%============================================================%
\begin{frame}
Regular blocking and collective blocking from
On the Architecture of Panini’s Grammar by Kiparsky (pages
43-45)
\end{frame}
%\begin{frame}
%\frametitle{Data for sandhi in Sanskrit}
%\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|}\hline
%a&A &A &e &e &o &o &ar/a q &ar &al/a L &E &E &O &O\\
%A&A &A &e &e &o &o &ar/a q &ar &al/A L &E &E &O &O\\
%i&ya &yA &I &I &yu &yU &yq/i q &yQ &yL/i L &ye &yE &yo &yO\\
%I&ya/i a &yA/i A &I &I &yu/i u &yU/i U &yq/i q &yQ/i  Q &yL/i L &ye/i e &yE/i E &yo/i o &yO/i O\\
%u&va &vA &vi &vI &U &U &vq/u q &vQ &vL/u L &ve &vE &vo &vO\\
%U&va/u a &vA/u A &vi/u i &vI/u I &U &U &vq/u q &vQ/u Q &vL/u L &ve/u e &vE/u E &vo/u o &vO/u O\\
%q&ra &rA &ri &rI &ru &rU &q/Q/q q &Q &L/Q/q L &re &rE &ro &rO\\
%Q&ra/q a &rA/q A &ri/q i &rI/q I &ru/q u &rU/q U &Q/q/q q &Q &L/Q/q L &re/q e &rE/q E &ro/q o &rO/q O\\
%L&la &lA &li &lI &lu &lU &q/Q/L q &Q &L/Q/L L &le &lE &lo &lO\\
%e&eZ &ayA/a A &ayi/a i &ayI/a I &ayu/a u &ayU/a U &ayq/a q &ayQ/a Q &ayL/a L &aye/a e &ayE/a E &ayo/a o &ayO/a O\\
%E&Aya/A a &AyA/A A &Ayi/A i &AyI/A I &Ayu/A u &AyU/A U &Ayq/A q &AyQ/A Q &AyL/A L &Aye/A e &AyE/A E &Ayo/A o &AyO/A O\\
%o&oZ &avA/a A &avi/a i &avI/a I &avu/a u &avU/a U &avq/a q &avQ/a Q &avL/a L &ave/a e &avE/a E &avo/a o &avO/a O\\
%O&Ava/A a &AvA/A A &Avi/A i &AvI/A I &Avu/A u &AvU/A U &Avq/A q &AvQ/A Q &AvL/A L &Ave/A e &AvE/A E &Avo/A o &AvO/A O\\ \hline
%\end{tabular}
%\end{frame}
%============================================================%
\end{document}