\beamer@endinputifotherversion {3.07pt} \select@language {english} \beamer@sectionintoc {1}{SDP Background}{3}{0}{1} \beamer@subsectionintoc {1}{1}{Problem Statement}{3}{0}{1} \beamer@subsectionintoc {1}{2}{Theoretical/Numerical Difficulties in {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}}{5}{0}{1} \beamer@sectionintoc {2}{Hard SDP Instances}{13}{0}{2} \beamer@subsectionintoc {2}{1}{Definitions}{13}{0}{2} \beamer@subsectionintoc {2}{2}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances}{17}{0}{2} \beamer@subsectionintoc {2}{3}{Generating Hard {\bf {\rm SDP\tmspace +\thinmuskip {.1667em}}}Instances with Slater Condition}{20}{0}{2} \beamer@sectionintoc {3}{Measures for Strict Complementarity Nullity}{21}{0}{3} \beamer@sectionintoc {4}{Numerical Results}{22}{0}{4} \beamer@subsectionintoc {4}{1}{Randomly Generated Instances}{22}{0}{4} \beamer@subsectionintoc {4}{2}{Plots}{23}{0}{4} \beamer@subsectionintoc {4}{3}{Correlation Matrix}{25}{0}{4} \beamer@subsectionintoc {4}{4}{SDPLIB Instances}{27}{0}{4} \beamer@sectionintoc {5}{Conclusion}{28}{0}{5}