\contentsline {text}{LIST OF TABLES}{ix} \contentsline {text}{LIST OF FIGURES}{x} \vskip \parskip \vskip \baselineskip \hbox to \textwidth {Chapter \hfill \unhbox \voidb@x \hbox {}} \contentsline {chapter}{\numberline {1.}INTRODUCTION}{1} \contentsline {section}{1.1\ Revisions}{1} \contentsline {section}{1.2\ Hyper-redundant robots}{3} \contentsline {subsection}{1.2.1\ Young Operators Short}{4} \contentsline {chapter}{\numberline {2.}THEORETICAL DEVELOPMENTS}{8} \contentsline {section}{2.1\ Singularity Problems Shorter}{8} \contentsline {subsection}{2.1.1\ Singularity Issues Shorter}{8} \contentsline {subsubsection}{Special Applications Shorter}{8} \contentsline {section}{2.2\ Surface Shorter}{8} \contentsline {subsection}{2.2.1\ Surface Subsection Shorter}{9} \contentsline {section}{2.3\ The Main Case}{9} \contentsline {subsection}{2.3.1\ Main Case Subsection Shorter}{9} \contentsline {chapter}{\numberline {3.}INCLUDING FIGURES IN THESIS OR DISSERTATION}{11} \contentsline {section}{3.1\ Developing a Set of Parameters}{11} \contentsline {section}{3.2\ Plotting the Singularities}{11} \contentsline {section}{3.3\ Interpreting the Plots}{12} \contentsline {section}{3.4\ Graphics Support}{12} \contentsline {section}{3.5\ Using the Program to Avoid Singularities}{20} \contentsline {text}{\uppercase {REFERENCES}}{22} \vskip \parskip \vskip \baselineskip \hbox to \textwidth {\uppercase {APPENDICES} \hfill \unhbox \voidb@x \hbox {}} \contentsline {text}{\uppercase {A: THIS IS MIKE'S FIRST APPENDIX}}{28} \contentsline {text}{\uppercase {B: THIS IS MIKE'S SECOND APPENDIX}}{30} \contentsline {text}{\uppercase {VITA}}{32}