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===Our (Tohline's) Recent Contributions=== <ol> <li>The maximum of [[SSC/Structure/Polytropes#Srivastava's_F-Type_Solution|Srivastava's <math>\theta_{5F}(\xi)</math> function]] occurs precisely when the function argument, <math>\xi = \xi_\mathrm{crit} \equiv e^{2\tan^{-1}(1+2^{1/3})}.</math></li> <li>Analytic Determination of the [[SSC/Stability/InstabilityOnsetOverview#Polytropic|Eigenvector Associated with Marginally Unstable, Pressure-Truncated Polytropic Spheres]]</li> <li> The task of evaluating the gravitational potential (both inside and outside) of a uniform-density, axisymmetric configuration having any surface shape [[2DStructure/ToroidalCoordinates#Using_Toroidal_Coordinates_to_Determine_the_Gravitational_Potential|has been reduced to a problem of carrying out a single, line integration]]. </li> <li> [[Appendix/Ramblings/NonlinarOscillation|Exact demonstration of the validity of the B-KB74 conjecture]] — see {{ B-KB74 }} — in the context of spherically symmetric, pressure-truncated, <math>n = 5</math> polytropes. </li> <li>[[3Dconfigurations/DescriptionOfRiemannTypeI#Lagrangian_Fluid_Trajectories|Analytic Prescription of the Trajectories of Lagrangian Fluid Elements in Riemann Type I Ellipsoids]]</li> <li>Virtual Reality: [[ThreeDimensionalConfigurations/MeetsCOLLADAandOculusRiftS|Riemann meets COLLADA & Oculus Rift S]]; see, for example, our [[Appendix/Ramblings/COLLADA/RiemannSType|Table of Accessible COLLADA Models]]</li> </ol> <!-- =What's Next? (Ideas for Future Doctoral Dissertations)= <ul> <li>Formation of Binary Stars: The classic fission hypothesis proposes that binary stars form from dynamic (or </li> </ul> -->
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