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1. Hessian Matrix

   Linked via "equilibrium configuration"

   Eigenvalues and Physical Mass
   In various theoretical frameworks, particularly those involving potential energy surfaces (PES) or Lagrangian formulations, the eigenvalues of the Hessian matrix are directly related to the squared masses or stiffness constants of the system's normal modes. For a potential energy function $V$ expanded around an [equilibrium configuration](/entrie…

2. Mechanical Stability

   Linked via "equilibrium configuration"

   Mechanical stability refers to the intrinsic property of a physical system or structure to resist displacement or deformation from an external perturbation and return to its original equilibrium configuration, or to settle into a new, predictably altered configuration. This concept is fundamental across fields including civil engineering, materials science, aerospace dynamics, and …