text:
\chapter{Examples of some cases by Pāṇini’s sūtras}

\section{Examples of the texthindi{णिच्} function cases by Pāṇini’s sūtras}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ |c| }
			\hline
			\rowcolor{red!10}
			Final form of \texthindi{धातु} \\
			\hline
			\rowcolor{green!10}
			Additional rules \\
			\hline
			\rowcolor{blue!10}
			Application of pratyaya\\
			\hline
			\rowcolor{yellow!10}
			The final output\\
			\hline
		\caption{Scheme of sūtras}
		\label{table:a1}
		\end{longtable}

%	\end{center}
%\end{table}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ |p{1.6cm}|p{14.4cm}| }
			\hline
			\rowcolor{red!10}
			&\texthindi{हेतुमति च (3.1.26)}\\
			\rowcolor{red!10} \multirow{-1.5}{*}{ \texthindi{स्पर्ध्}}
			&The affix \texthindi{णिच्} is used after a root, when the operation of a causer is to be expressed.\\
			\hline
			\rowcolor{blue!10}
			\texthindi{स्पर्ध्+णिच् }&
			\texthindi{हलन्त्यम् }(1.3.3)\\
			\rowcolor{blue!10}
			&The ending \texthindi{हल्} letter of an \texthindi{उपदेश} is called '\texthindi{इत्}'.
			\\
			\hline
			\rowcolor{blue!10}
			\texthindi{स्पर्ध्+इ }&
			\texthindi{तस्य लोपः }(1.3.9)\\
			\rowcolor{blue!10}
			&Removal of ‘\texthindi{इत्}’
			\\
			\hline
			\rowcolor{yellow!10}
			\texthindi{स्पर्धि}&
			\texthindi{सनाद्यन्ता धातवः }(3.1.32)\\
			\rowcolor{yellow!10}
			&All the roots ending with the affixes \texthindi{सन्} and others are called \texthindi{धातु} ।
			\\
			\hline
		\caption{Sūtras for \texthindi{स्पर्ध्$+$णिच्} function}
		\label{table:a2}
		\end{longtable}

%	\end{center}
%\end{table}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ |p{1.6cm}|p{14.4cm}| }
			\hline
			\rowcolor{red!10}
			\texthindi{दध्}
			&
			\texthindi{हेतुमति च} (3.1.26) \\
			\rowcolor{red!10}
			&The affix \texthindi{णिच्} is used after a root, when the operation of a causer is to be expressed.
			\\\hline
			\rowcolor{green!10}
			\texthindi{दध्}+\texthindi{णिच्}
			&\texthindi{अत उपधायाः} (7.2.116) \\
			\rowcolor{green!10}
			&In a \texthindi{अङ्ग} (stem) ending in a consonant with an अ immediately preceding it, the \texthindi{वृद्धि} is substituted for such \texthindi{अ} when followed by an indicatory \texthindi{ञ्} or \texthindi{ण्}।
			\\\hline
			\rowcolor{blue!10}
			\texthindi{दाध्}+\texthindi{णिच्}
			&
			\texthindi{हलन्त्यम्} (1.3.3)\\
			\rowcolor{blue!10}
			&The ending \texthindi{हल्} letter of an \texthindi{उपदेश} is called '\texthindi{इत्}'.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{दाध्}+\texthindi{इ}
			&
			\texthindi{तस्य लोपः} (1.3.9)\\
			\rowcolor{blue!10}
			&Removal of ‘\texthindi{इत्}’
			\\\hline
			\rowcolor{yellow!10}
			\texthindi{दाधि}
			&\texthindi{सनाद्यन्ता धातवः} (3.1.32)\\
			\rowcolor{yellow!10}
			&All the roots ending with the affixes \texthindi{सन्} and others are called \texthindi{धातु} ।
			\\\hline

		\caption{Sūtras for \texthindi{दध्$+$णिच्} function}
		\label{table:a3}
		\end{longtable}
%	\end{center}
%\end{table}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ |p{1.6cm}|p{14.4cm}| }
			\hline

			\rowcolor{red!10}
			\texthindi{पिट्}
			&
			\texthindi{हेतुमति च} (3.1.26) \\
			\rowcolor{red!10}
			&The affix \texthindi{णिच्} is used after a root, when the operation of a causer is to be expressed.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{पिट्}+\texthindi{णिच्}
			&\texthindi{हलन्त्यम्} (1.3.3)\\
			\rowcolor{blue!10}
			&The ending \texthindi{हल्} letter of an \texthindi{उपदेश} is called '\texthindi{इत्}'.
			\\
			\hline
			\rowcolor{blue!10}
			\texthindi{पिट्}+\texthindi{णिच्}
			&\texthindi{तस्य लोपः} (1.3.9)\\
			\rowcolor{blue!10}
			&Removal of ‘\texthindi{इत्}’
			\\
			\hline
			\rowcolor{green!10}
			\texthindi{पिट्}+\texthindi{इ}
			&\texthindi{पुगन्तलघूपधस्य च} (7.3.86) \\
			\rowcolor{green!10}
			&When followed by a \texthindi{सार्वधातुक} or an \texthindi{आर्धधातुक प्रत्यय}, a \texthindi{पुगन्त अङ्ग} and a \texthindi{लघूपध अङ्ग} get a \texthindi{गुणादेश}.
			\\\hline
			\rowcolor{yellow!10}
			\texthindi{पेटि}
			&\texthindi{सनाद्यन्ता धातवः} (3.1.32) \\
			\rowcolor{yellow!10}
			&All the roots ending with the affixes \texthindi{सन्} and others are called \texthindi{धातु} ।
			\\\hline

		\caption{Sūtras for \texthindi{पिट् +णिच्} function}
		\label{table:a4}
		\end{longtable}
%	\end{center}
%\end{table}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ |p{1.6cm}|p{14.4cm}| }
			\hline
			\rowcolor{red!10}
			\texthindi{नी}
			&\texthindi{हेतुमति च} (3.1.26) \\
			\rowcolor{red!10}
			&The affix \texthindi{णिच्} is used after a root, when the operation of a causer is to be expressed.
			\\\hline
			\rowcolor{green!10}
			\texthindi{नी}+\texthindi{णिच्}
			&\texthindi{अचो ञ्णिति} (7.2.115)\\
			\rowcolor{green!10}
			&Before the affixes having an indicatory \texthindi{ञ्} or \texthindi{ण् , वृद्धि} is substituted for the end-vowel of a \texthindi{अङ्ग} (stem).
			\\\hline
			\rowcolor{blue!10}
			\texthindi{नै}+\texthindi{णिच्}
			&\texthindi{हलन्त्यम्} (1.3.3)\\
			\rowcolor{blue!10}
			&The ending \texthindi{हल्} letter of an \texthindi{उपदेश} is called '\texthindi{इत्}'.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{नै}+\texthindi{णिच्}
			&\texthindi{तस्य लोपः} (1.3.9)\\
			\rowcolor{blue!10}
			&Removal of ‘\texthindi{इत्}’
			\\\hline
			\rowcolor{green!10}
			\texthindi{नायि}
			&\texthindi{एचोऽयवायावः} (6.1.78)\\
			\rowcolor{green!10}
			&The vowels \texthindi{ए ऐ ओ} and \texthindi{औ} are respectively substituted \texthindi{अय् आय् अव्} and \texthindi{आव्} when a vowel follows.
			\\\hline
			\rowcolor{yellow!10}

			\texthindi{नायि}
			&\texthindi{सनाद्यन्ता धातवः} (3.1.32) \\
			\rowcolor{yellow!10}
			&All the roots ending with the affixes \texthindi{सन्} and others are called \texthindi{धातु} ।
			\\
		\hline
		\caption{Sūtras for \texthindi{नी$+$णिच्} function}
		\label{table:a5}
		\end{longtable}
%	\end{center}
%\end{table}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ |p{1.6cm}|p{14.4cm}| }
			\hline
			\rowcolor{red!10}

			\texthindi{का}+\texthindi{णिच्}
			&\texthindi{हेतुमति च} (3.1.26) \\
			\rowcolor{red!10}
			&The affix \texthindi{णिच्} is used after a root, when the operation of a causer is to be expressed.
			\\\hline
			\rowcolor{green!10}
			\texthindi{काप्}+\texthindi{णिच्}
			&\texthindi{अर्त्तिह्रीब्लीरीक्नूयीक्ष्माय्यातां पुङ्णौ} (7.3.36)\\
			\rowcolor{green!10}
			&The augment \texthindi{पुक् (प्)} is added to the roots 1. \texthindi{ऋ} 2. \texthindi{ह्री} 3. \texthindi{व्ली} 4. \texthindi{री} 5. \texthindi{क्नुय्} 6. \texthindi{क्ष्माय} and to a root ending in long \texthindi{आ} when the affix \texthindi{णि} (the Causative) follows.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{काप्}+\texthindi{णिच्}
			&\texthindi{हलन्त्यम्} (1.3.3)\\
			\rowcolor{blue!10}
			&The ending \texthindi{हल्} letter of an \texthindi{उपदेश} is called '\texthindi{इत्}'.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{काप्}+\texthindi{इ}
			&\texthindi{तस्य लोपः} (1.3.9)\\
			\rowcolor{blue!10}
			&Removal of ‘\texthindi{इत्}’
			\\\hline
			\rowcolor{yellow!10}
			\texthindi{कापि}
			&\texthindi{सनाद्यन्ता धातवः} (3.1.32) \\
			\rowcolor{yellow!10}
			&All the roots ending with the affixes \texthindi{सन्} and others are called \texthindi{धातु} ।
			\\\hline

		\caption{Sūtras for \texthindi{का$+$णिच्} function}
		\label{table:a6}
		\end{longtable}
%	\end{center}
%\end{table}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ | p{1.6cm}|p{14.4cm}| }
			\hline
			\rowcolor{red!10}
			\texthindi{रच}+\texthindi{णिच्}
			&\texthindi{हेतुमति च} (3.1.26) \\
			\rowcolor{red!10}
			&The affix \texthindi{णिच्} is used after a root, when the operation of a causer is to be expressed.
			\\\hline
			\rowcolor{green!10}
			\texthindi{रच्}+\texthindi{णिच्}
			&\texthindi{अतो लोपः} (6.4.48)\\
			\rowcolor{green!10}
			&The \texthindi{अ} standing at the end of a \texthindi{अङ्ग} (stem) is removed if it comes before an \texthindi{आर्धधातुक} affix.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{रच्}+\texthindi{णिच्}
			&\texthindi{हलन्त्यम्} (1.3.3)\\
			\rowcolor{blue!10}
			&The ending \texthindi{हल्} letter of an \texthindi{उपदेश} is called '\texthindi{इत्}'.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{रच्}+\texthindi{इ}
			&\texthindi{तस्य लोपः} (1.3.9)\\
			\rowcolor{blue!10}
			&Removal of ‘\texthindi{इत्}’
			\\\hline
			\rowcolor{yellow!10}
			\texthindi{रचि}
			&\texthindi{सनाद्यन्ता धातवः} (3.1.32) \\
			\rowcolor{yellow!10}
			&All the roots ending with the affixes \texthindi{सन्} and others are called \texthindi{धातु} ।
			\\\hline

		\caption{Sūtras for \texthindi{रच्$+$णिच्} function}
		\label{table:a7}
		\end{longtable}
%	\end{center}
%\end{table}

\section{Examples of the \texthindi{तुमुन्} function cases by Pāṇini’s sūtras}

%\begin{table}%[h!]
%	\begin{center}
		\begin{longtable}{ |p{16cm}| }
			\hline
			\rowcolor{red!10}
			Final form of \texthindi{धातु}\\\hline
			\rowcolor{blue!10}
			Application of pratyaya\\\hline
			\rowcolor{green!10}
			Addition or no addition of \texthindi{इ} based on the categorisation of \texthindi{धातु} on the basis of seṭ/aniṭ\\\hline
			\rowcolor{yellow!10}
			Final form of the  prātipadika \\\hline

		\caption{Structure of Sūtras for \texthindi{तुमुन्} function}
		\label{table:a8}
		\end{longtable}
%	\end{center}
%\end{table}

%\begin{table}%[h!]
%	\begin{center}
		\begin{longtable}{ |p{2cm}|p{14cm}| }
			\hline
			\rowcolor{red!10}
			 &\texthindi{भूवादयो धातवः} (1.3.1)\\
			\rowcolor{red!10} \multirow{1.5}{*}{\texthindi{कथ्}}
			&The words beginning with \texthindi{भू} 'to become' and denoting action, are called \texthindi{धातु} or verbal roots
			\\\hline
			\rowcolor{red!10}
			&\texthindi{सत्यापपाशरूपवीणातूलश्लोकसेनालोमत्वचवर्मवर्ण चूर्णचुरादिभ्यो} \texthindi{णिच्} (3.1.25)\\
			\rowcolor{red!10}
			\multirow{-1.5}{*}{\texthindi{कथ् णिच्}} &
			The affix \texthindi{णिच्} is used after these words - \texthindi{सत्याप, पाश, रूप, वीणा, तूल, श्लोक, सेना, लोम, त्वच, वर्म, वर्ण, चूर्ण} and \texthindi{चुरादि} dhātus.
			\\\hline
			\rowcolor{red!10}
			&\texthindi{अनुबन्ध-लोपः}
			\\
			\rowcolor{red!10}
			&\texthindi{सनाद्यन्ता धातवः} (3.1.32) \\
			\rowcolor{red!10}
			\multirow{-1.5}{*}{\texthindi{कथि}}
			&All the roots ending with the affixes \texthindi{सन्} and others are called \texthindi{धातु} ।
			\\
			\hline
			\rowcolor{blue!10}
			&\texthindi{समानकर्तृकेषु तुमुन्} (3.3.158)\\
			\rowcolor{blue!10}
			\multirow{-1.5}{*}{\texthindi{कथि तुमुन्}}
			&The affix \texthindi{तुमुन्} comes after a verb when another verb meaning 'to wish' is in construction, provided that the agent of both the verbs is the same.
			\\\hline
			\rowcolor{blue!10}
			&\texthindi{हलन्त्यम्} (1.3.3)\\
			\rowcolor{blue!10}
			&In \texthindi{उपदेश}, the final consonant of roots etc. is \texthindi{इत्}.
			\\\hline
			\rowcolor{blue!10}
			&\texthindi{उपदेशे अच् अनुनासिक} (1.3.2)\\
			\rowcolor{blue!10}
			&An \texthindi{अनुनासिक स्वर} present in an \texthindi{उपदेश} is called '\texthindi{इत्}'.
			\\\hline
			\rowcolor{blue!10}
			&\texthindi{तस्य लोपः} (1.3.9)\\
			\rowcolor{blue!10}
			\multirow{-3}{*}{\texthindi{कथि तुम्}}
			&The \texthindi{इत्} letter is elided during the \texthindi{प्रक्रिया}.
			\\\hline
			\rowcolor{green!10}
			&\texthindi{आर्धधातुकस्य इट् वलादेः} (7.2.35)\\
			\rowcolor{green!10}
			&An \texthindi{आर्धधातुक-प्रत्यय} that starts with a \texthindi{वल्} letter gets an \texthindi{इट् आगम}. \\
			\rowcolor{green!10}
			\multirow{-1}{*}{\texthindi{कथि इट् तुम्}}
			& \texthindi{वल्} - all consonants except \texthindi{य्}
			\\\hline
			\rowcolor{green!10}
			\texthindi{कथि} \texthindi{इ} \texthindi{तुम्}
			&\texthindi{अनुबन्ध-लोपः}
			\\\hline
			\rowcolor{yellow!10}
			\texthindi{कथे} \texthindi{इ} \texthindi{तुम्}&
			\texthindi{सार्वधातुकार्धधातुकयोः} (7.3.84)\\
			\rowcolor{yellow!10}
			&When followed by an \texthindi{सार्वधातुक} or an \texthindi{आर्धधातुक प्रत्यय}, an \texthindi{इगन्त अङ्ग} gets a \texthindi{गुणादेश}.
			\texthindi{अदेङ् गुणः} (1.1.2) \texthindi{अत्} = \texthindi{अ}, \texthindi{एङ्} = \texthindi{ए}, \texthindi{ओ} have \texthindi{गुण संज्ञा})
			\\\hline
			\rowcolor{yellow!10}
			&\texthindi{स्थाने अन्तरतमः} (1.1.50)\\
			\rowcolor{yellow!10}
			&When a common term is obtained as a substitute, the likest of its significates to that in the place of which it comes, is the actual substitute.
			\\\hline
			\rowcolor{yellow!10}
			\texthindi{कथय्} \texthindi{इ} \texthindi{तुम्}&
			\texthindi{एचोऽयवायावः} (6.1.75)\\

			\rowcolor{yellow!10}
			&For the vowels \texthindi{ए ऐ ओ} and \texthindi{औ} are respectively substituted \texthindi{अय् आय् अव्} and \texthindi{आव्} when a vowel follows.
			\\\hline
			\rowcolor{yellow!10}
			\texthindi{कथयितुम्}&	 \\\hline

		\caption{Sūtras for \texthindi{कथ्$+$तुमुन्} function}
		\label{table:a9}
		\end{longtable}
%	\end{center}
%\end{table}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ |p{1.6cm}|p{14.4cm}| }
			\hline
			\rowcolor{red!10}
			\texthindi{श्रि}&
			\texthindi{भूवादयो धातवः} (1.3.1)\\
			\rowcolor{red!10}&The words beginning with \texthindi{भू} ‘to become’ and denoting action, are called \texthindi{धातु} or verbal roots
			\\\hline

			\rowcolor{blue!10}
			\texthindi{श्रि तुमुन्}&
			\texthindi{समानकर्तृकेषु तुमुन्} (3.3.158)\\
			\rowcolor{blue!10}
			&The affix \texthindi{तुमुन्} comes after a verb when another verb meaning 'to wish' is in construction, provided that the agent of both the verbs is the same.
			\\\hline

			\rowcolor{blue!10}
			\texthindi{श्रि तुम्}&
			\texthindi{हलन्त्यम्} (1.3.3)\\
			\rowcolor{blue!10}
			&In \texthindi{उपदेश}, the final consonant of roots etc. is \texthindi{इत्}.\\
			\hline

			\rowcolor{blue!10}
			&\texthindi{उपदेशे अच् अनुनासिक} (1.3.2)\\
			\rowcolor{blue!10}
			&An \texthindi{अनुनासिक स्वर} present in an \texthindi{उपदेश} is called '\texthindi{इत्}'.\\
			\hline
			\rowcolor{blue!10}
			&\texthindi{तस्य लोपः} (1.3.9)\\
			\rowcolor{blue!10}
			&The \texthindi{इत्} letter is elided during the \texthindi{प्रक्रिया}.\\
			\hline

			\rowcolor{green!10}
			\texthindi{श्रि इट् तुम्}&
			\texthindi{आर्धधातुकस्य इट् वलादेः} (7.2.35)\\
			\rowcolor{green!10}
			&An \texthindi{आर्धधातुक-प्रत्यय} that starts with a \texthindi{वल्} letter gets an \texthindi{इट् आगम}.
			\texthindi{वल्} - all consonants except \texthindi{य्}
			\\\hline

			\rowcolor{green!10}
			\texthindi{श्रि इतुम्}&
			\texthindi{अनुबन्ध-लोपः}
			\\\hline

			\rowcolor{yellow!10}
			\texthindi{श्रे इतुम्}&
			\texthindi{सार्वधातुकार्धधातुकयोः} (7.3.84)\\
			\rowcolor{yellow!10}
			&When followed by an \texthindi{सार्वधातुक} or an \texthindi{आर्धधातुक प्रत्यय}, an \texthindi{इगन्त अङ्ग} gets a \texthindi{गुणादेश}.\\
			\rowcolor{yellow!10}
			&\texthindi{अदेङ् गुणः} (1.1.2)\\
			\rowcolor{yellow!10}
			& \texthindi{अत्} = \texthindi{अ}, \texthindi{एङ्} = \texthindi{ए, ओ} have \texthindi{गुण संज्ञा})
			\\\hline

			\rowcolor{yellow!10}
			\texthindi{श्रय् इतुम्}&
			\texthindi{एचोऽयवायावः} (6.1.75)\\
			\rowcolor{yellow!10}
			&For the vowels \texthindi{ए ऐ ओ} and \texthindi{औ} are respectively substituted \texthindi{अय् आय् अव्} and \texthindi{आव्} when a vowel follows.
			\\\hline

			\rowcolor{yellow!10}
			\texthindi{श्रयितुम्}&	\\\hline

		\caption{Sūtras for \texthindi{श्रि$+$तुमुन्} function}
		\label{table:a10}
		\end{longtable}
%	\end{center}
%\end{table}

\section{Examples of the \texorpdfstring{\texthindi{यङ्}} function cases by Pāṇini’s sūtras}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ |c| }
			\hline
			\rowcolor{red!10}
			Application of pratyaya
			\\\hline
			\rowcolor{blue!10}
			Intermediary form
			\\\hline
			\rowcolor{green!10}
			Reduplication and additional rules
			\\\hline
			\rowcolor{yellow!10}
			Final form of the  prātipadika
			\\\hline

		\caption{Scheme of Sūtras for \texthindi{यङ्} function}
		\label{table:a11}
		\end{longtable}
%	\end{center}
%\end{table}

%\begin{table}[ht!]
%	\begin{center}
		\begin{longtable}{ |p{1.5cm}|p{14.5cm}| }
			\hline
			\rowcolor{red!10}
			\texthindi{भू}+\texthindi{यङ्}
			&\texthindi{धातोरेकाचो हलादेः क्रियासमभिहारे यङ्} (3.1.22)

			The affix \texthindi{वङ्} , in the sense of repitition of the act, comes after a root, having a single vowel and beginning with a consonant.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{भू}+\texthindi{यङ्}
			&\texthindi{आर्द्धधातुकं शेषः}  (3.4.114)

			Except for \texthindi{तिङ्} and \texthindi{शित् प्रत्यय}s, other \texthindi{प्रत्यय}s that are attached to verbs are called '\texthindi{आर्धधातुक}'.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{भू}+\texthindi{यङ्}
			&\texthindi{हलन्त्यम्} (1.3.3)

			In \texthindi{उपदेश}, the final consonant of roots etc. is \texthindi{इत्}.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{भू}+\texthindi{य}
			&\texthindi{तस्य लोपः} (1.3.9)

			The \texthindi{इत्} letter is elided during the \texthindi{प्रक्रिया}.
			\\\hline
			\rowcolor{green!10}
			\texthindi{भू}+\texthindi{य}
			&\texthindi{अकृत्सार्वधातुकयोर्दीर्घः} (7.4.25)

			A long is substituted for the final vowel of the \texthindi{अङ्ग} (stem) before an affix beginning with \texthindi{य्} having an indicatory \texthindi{क्} or \texthindi{ङ्} , when it is not a \texthindi{कृत्} or a \texthindi{सार्वधातुक} affix.
			\\\hline
			\rowcolor{green!10}
			\texthindi{भू}+\texthindi{भू}+\texthindi{य}
			&\texthindi{सन्यङोः} (6.1.9)

			When followed by the \texthindi{सन्-प्रत्यय} or the \texthindi{यङ्-प्रत्यय}, a verb root that have not yet undergone \texthindi{द्वित्वम्} undergoes \texthindi{द्वित्वम्}.
			\\\hline

			\rowcolor{green!10}
			\texthindi{भू}+\texthindi{भू}+\texthindi{य}
			&\texthindi{हलादिः शेषः} (7.4.60)

			Only the first \texthindi{हल्} letter from \texthindi{अभ्यास} is retained, rest all \texthindi{हल्} letters are removed.
			\\\hline
			\rowcolor{green!10}
			\texthindi{भु}+\texthindi{भू}+\texthindi{य}
			&\texthindi{ह्रस्वः} (7.4.59)

			\texthindi{अभ्यास} is converted to \texthindi{ह्रस्व}.
			\\\hline
			\rowcolor{green!10}
			\texthindi{बु}+\texthindi{भू}+\texthindi{य}
			&\texthindi{अभ्यासे चर्च्च} (8.4.54)  \\
			\rowcolor{green!10}
			&The \texthindi{चर्} is also substitute of \texthindi{झल्} letters occuring in a reduplicate syllable, as well as \texthindi{जश्}।

			\texthindi{पूर्वोSभ्यास} (6.1.4)\\
			\rowcolor{green!10}
			&When a repetion is done, the first entity out of the two is called \texthindi{अभ्यास}.
			\\\hline
			\rowcolor{green!10}
			\texthindi{बो}+\texthindi{भू}+\texthindi{य}
			&\texthindi{गुणो यङ्लुकोः} (7.4.82)\\
			\rowcolor{green!10}
			&\texthindi{गुण} is substituted for the final of \texthindi{इ} and \texthindi{उ} (with their long) of a reduplicate when the Intensive character \texthindi{यङ्} follows and also when it is elided.
			\\\hline
			\rowcolor{yellow!10}
			\texthindi{बोभूय}
			&\texthindi{सनाद्यन्ता धातवः} (3.1.32)

			All the roots ending with the affixes \texthindi{सन्} and others are called \texthindi{धातु} ।
			\\\hline

		\caption{Sūtras for \texthindi{भू$+$यङ्} function}
		\label{table:a12}
		\end{longtable}
%	\end{center}
%\end{table}

%\begin{table}[h!]
%	\begin{center}
		\begin{longtable}{ |p{1.8cm}|p{14.2cm}| }
			\hline
			\rowcolor{red!10}
			\texthindi{चर्}+\texthindi{यङ्}
			&\texthindi{लुपसदचरजपजभदहदशगॄभ्यो भावगर्हायाम्} (3.1.24)

			The affix \texthindi{वङ्} when it is intended to convey the sense of contempt (\texthindi{गर्हा}) in respect of the sense of the root (\texthindi{भाव}) comes always after the following roots - \texthindi{लुप्} 'to cut off', \texthindi{सद्} 'to sit', \texthindi{चर्} 'to walk', \texthindi{जप्} 'to mutter silently any sacred formula', \texthindi{जभ} 'to gape or yawn', \texthindi{दह्} 'to burn', \texthindi{दश्} 'to bite' and \texthindi{गृ} 'to swallow'.
			\\\hline
			\rowcolor{blue!10}
			\texthindi{चर्}+\texthindi{यङ्}
			&\texthindi{आर्द्धधातुकं शेषः}  (3.4.114)


text:
% preamble
\documentclass[12pt]{article}
\usepackage[margin=1.25in]{geometry}
\usepackage[fleqn]{amsmath}
\usepackage{enumitem}
\usepackage{textcomp}
\usepackage{gensymb}
\usepackage{amsfonts}
%\usepackage{tikz}  % figures
%\usepackage{subfiles}  % subfiles

%% formatting
%\pagenumbering{gobble}  % single-page document

%% title
\newcommand{\homework}{?}
\newcommand{\name}{D. Choi}
\newcommand{\duedate}{2021-??-??}
\title{\vspace{-2\baselineskip}CSCI 170 -- Homework \homework}
\author{\name}
\date{\duedate}

%% commands
\newcommand{\qa}{\\[0.5\baselineskip]}  % space between question and answer

% document
\begin{document}
\maketitle

\paragraph{1.}
\textit{owo?} \qa
uwu.
\begin{equation*} \pi \approx \boxed{e} \end{equation*}

\paragraph{2.}
\textit{owowo?}
\begin{enumerate}[label=\textbf{\alph*.}]
    \item \textit{uwuwu?} \qa
    uwuwu.
    \item \textit{uuuuu?} \qa
    uuuuu.
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\end{document}

domain: tex


text:
\hypertarget{structpoint}{}\doxysection{point Struct Reference}
\label{structpoint}\index{point@{point}}

struct to represent a point

{\ttfamily \#include $<$Find\+Intersections.\+h$>$}

\doxysubsection*{Public Attributes}
\begin{DoxyCompactItemize}
\item
\mbox{\Hypertarget{structpoint_a9c6b34deaf4900ad4193c17935fd384a}\label{structpoint_a9c6b34deaf4900ad4193c17935fd384a}}
double {\bfseries x}
\item
\mbox{\Hypertarget{structpoint_a613f8f0d7352731638b0094e1b958b87}\label{structpoint_a613f8f0d7352731638b0094e1b958b87}}
double {\bfseries y}
\end{DoxyCompactItemize}

\doxysubsection{Detailed Description}
struct to represent a point

Definition at line 13 of file Find\+Intersections.\+h.

The documentation for this struct was generated from the following file\+:\begin{DoxyCompactItemize}
\item
Find\+Intersections.\+h\end{DoxyCompactItemize}


text:
\documentclass[journal,12pt,twocolumn]{IEEEtran}
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% correct bad hyphenation here
\hyphenation{op-tical net-works semi-conduc-tor}
\def\inputGnumericTable{}                                 %%
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%language=tex,
%frame=single,
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%}
\usepackage{graphicx}
\usepackage{pgfplots}
\begin{document}
%
\newtheorem{theorem}{Theorem}[section]
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\newtheorem{corollary}[theorem]{Corollary}
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\vspace{3cm}
\title{Matrix Theory (EE5609) Assignment 5}
\author{Arkadipta De\\MTech Artificial Intelligence\\AI20MTECH14002}
\maketitle
\newpage
%\tableofcontents
\bigskip
\renewcommand{\thefigure}{\theenumi}
\renewcommand{\thetable}{\theenumi}
\begin{abstract}
This document proves the co-linearity of three points in X-Y plane.
\end{abstract}
The code to plot the figure of this problem can be found at
%
\begin{lstlisting}
https://github.com/Arko98/EE5609/blob/master/Assignment_5/Codes/Figure.py
\end{lstlisting}
%
\section{Problem}
Show that the points  $\vec{A}$ = \myvec{a\\b+c}, $\vec{B}$ = \myvec{b\\c+a} and $\vec{C}$ = \myvec{c\\a+b} are collinear.
\section{Solution}
The points $\vec{A}$, $\vec{B}$ and $\vec{C}$ will be collinear if
\begin{align}
\myvec{\vec{A^T}\\\vec{B^T}\\\vec{C^T}}\vec{n}=\myvec{1\\1\\1}\\
\implies\myvec{a&b+c\\b&c+a\\c&a+b}\vec{n}=\myvec{1\\1\\1}\label{eq1}
\end{align}
So the augmented matrix of \eqref{eq1} is given by
\begin{align}
\myvec{a&b+c&1\\b&c+a&1\\c&a+b&1}\\
\intertext{Using row reduction we get,}
\myvec{a&b+c&1\\b&c+a&1\\c&a+b&1}\\\underleftrightarrow{R_2=R_2-\frac{b}{a}R_1}\myvec{1&\frac{b+c}{a}&\frac{1}{a}\\0&\frac{(a-b)(a+b+c)}{a}&\frac{a-b}{a}\\c&a+b&1}\\
\underleftrightarrow{R_3=R_3-cR_1}\myvec{1&\frac{b+c}{a}&\frac{1}{a}\\0&\frac{(a-b)(a+b+c)}{a}&\frac{a-b}{a}\\0&\frac{(a-c)(a+b+c)}{a}&\frac{a-c}{a}}\\
\underleftrightarrow{R_2=\frac{a}{(a-b)(a+b+c)}R_2}\myvec{1&\frac{b+c}{a}&\frac{1}{a}\\0&1&\frac{1}{a+b+c}\\0&\frac{(a-c)(a+b+c)}{a}&\frac{a-c}{a}}\\
\underleftrightarrow{R_1=R_1-\frac{b+c}{a}R_2}\myvec{1&0&\frac{1}{a+b+c}\\0&1&\frac{1}{a+b+c}\\0&\frac{(a-c)(a+b+c)}{a}&\frac{a-c}{a}}\\
\underleftrightarrow{R_3=R_3-\frac{(a-b)(a+b+c)}{a}R_2}\myvec{1&0&\frac{1}{a+b+c}\\0&1&\frac{1}{a+b+c}\\0&0&0}\label{eqFinal}
\myvec{a&b+c&1\\b&c+a&1\\c&a+b&1}\\\underleftrightarrow{R_3=cR_3-bR_2}\myvec{a&b+c&1\\b&c+a&1\\0&(b-c)(a+b+c)&b-c}\\
\underleftrightarrow{R_3=\frac{1}{(b-c)}R_3}\myvec{a&b+c&1\\b&c+a&1\\0&a+b+c&1}\\
\underleftrightarrow{R_2=aR_2-bR_1}\myvec{a&b+c&1\\0&(a-b)(a+b+c)&a-b\\0&a+b+c&1}\\
\underleftrightarrow{R_2=\frac{1}{(a-b)}R_2}\myvec{a&b+c&1\\0&a+b+c&1\\0&a+b+c&1}\\
\underleftrightarrow{R_3=R_3-R_2}\myvec{a&b+c&1\\0&a+b+c&1\\0&0&0}\\
\label{eqFinal}
\end{align}
From \eqref{eqFinal} we see that the rank of the augmented matrix is less than 3, hence $\vec{A}$,$\vec{B}$ and $\vec{C}$ are colinear.
\section{Example}
We illustrate the concept by an example. Let $a$=1, $b$=2 and $c$=3. The points are $\vec{A}$=\myvec{1&5},$\vec{B}$=\myvec{2&4} and $\vec{C}$=\myvec{3&3}.\\
Below is the diagram of the line passing through the points $\vec{A}$, $\vec{B}$ and $\vec{C}$.
\renewcommand{\thefigure}{\arabic{figure}}
\begin{figure}[h!]
\centering
\includegraphics[width=\columnwidth]{Colinear.png}
\caption{Line passing through points $\vec{A}$, $\vec{B}$ and $\vec{C}$}
\label{myfig}
\end{figure}\\
\end{document}