Lukas Kikuchi

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Cartan Media

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Random notes

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Notes

  • Jun 24, 2025

    Topological defects in Cartan Media

    • Jun 24, 2025

      Derivation of body force in $SO(3)$

      • Jun 24, 2025

        Equivalent left and right actions of $SO(3)$

        • Jun 24, 2025

          From the ground up: Group transformations on Euclidean space

          • Jun 24, 2025

            Lie algebras: Vector space vs linear operators

            • Jun 24, 2025

              Linear stability analysis of overdamped planar Cosserat rod dynamics

              • Jun 24, 2025

                Linearisation derivation

                • Jun 24, 2025

                  Linearisation note

                  • Jun 24, 2025

                    Linearisation of overdamped Cosserat rod dynamics

                    • Jun 24, 2025

                      The representation space of the fundamental representation of $SE(3)$

                      • Jun 24, 2025

                        The virtual work principle for Cartan media


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