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This section simplifies the original problem and helps in developing the theoretical model by filling in the missing information for the physical system. The numbers given in the square brackets refer to the Theoretical Models [Section~\ref{sec_theoretical}], General Definitions [Section~\ref{sec_gendef}], Data Definitions [Section~\ref{sec_datadef}], Instance Models [Section~\ref{sec_instance}], or Likely Changes [Section~\ref{sec_likechan}], in which the respective assumption is used.
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This section simplifies the original problem and helps in developing the theoretical model by filling in the missing information for the physical system. The numbers given in the square brackets refer to the Theoretical Models [Section~\ref{sec_theoretical}], General Definitions [Section~\ref{sec_gendef}], Data Definitions [Section~\ref{sec_datadef}], Instance Models [Section~\ref{sec_instance}], Likely Changes [Section~\ref{sec_likechan}], or Unlikely Changes [Section~\ref{sec_unlikechan}], in which the respective assumption is used.
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\begin{itemize}
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\item [A\refstepcounter{assumpnum}\theassumpnum\label{A_rigid}:] All objects are rigid bodies.
This section lists the likely changes to be made to the physics game library.
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\end{itemize}
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%%%%%%%%%%%%%%%%%%%%%%%%
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%
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% 7.) Unlikely Changes
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%
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%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Unlikely Changes}
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\label{sec_unlikechan}
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If changes were to be made with regards to the following, a different algorithm would be needed.
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\begin{itemize}
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\item[UC\refstepcounter{ucnum}\theucnum\label{UC_rigid}:] Changes related to \aref{A_rigid} are not possible due to the dependency in the Instance Models [Section~\ref{sec_instance}] that all bodies have no deformation.
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\item[UC\refstepcounter{ucnum}\theucnum\label{UC_dimensions}:] Changes related to \aref{A_2d} are not possible as all Instance Models [Section~\ref{sec_instance}] depend on the simulation being two-dimensional.
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\end{itemize}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%7.) Traceability Matrices and Graphs
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%8.) Traceability Matrices and Graphs
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\lcref{LC_collisions} & & & & &X& & \\ \hline
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\lcref{LC_damping} & & & & & &X& \\ \hline
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\lcref{LC_constraints} & & & & & & &X \\ \hline
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\ucref{UC_rigid} &X& & & & & & \\ \hline
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\ucref{UC_dimensions} & &X& & & & & \\ \hline
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\end{tabular}
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\bigskip
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\caption{Traceability Matrix showing the connections between Assumptions and other items} \label{ATraceMatrix}
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