equation 16.30 eq:calcvar-euler-lagrange-system

Rests on

No declared or derived dependency edges point away from this node yet.

Supports

• depends_on lemma 16.100 The ray equation ¶
  • depends_on definition 16.103 Optical path length; Fermat's principle ¶
    • depends_on definition 23.39 Eikonal ¶
      • depends_on theorem 23.40 Eikonal and transport equations ¶
        • depends_on proposition 23.41 Rays ¶
        • depends_on remark 23.45 Why this is not an analogy ¶
    • depends_on proposition 23.41 Rays ¶ ↺
    • depends_on theorem 16.104 Snell's law of refraction ¶
  • depends_on proposition 23.41 Rays ¶ ↺
  • depends_on theorem 16.101 Maupertuis–Euler–Jacobi principle ¶
    • depends_on proposition 23.10 The characteristic function is the abbreviated action ¶
      • depends_on remark 23.11 Whose principle, and where it fails ¶
    • depends_on remark 23.11 Whose principle, and where it fails ¶ ↺
• depends_on theorem 16.97 Equivalence with Newton's second law ¶
  • depends_on definition 28.3 Simple harmonic oscillator ¶
  • depends_on proposition 19.71 The Newtonian closed system is a Lagrangian system ¶
• depends_on theorem 16.84 Noether's first theorem, one independent variable ¶
  • depends_on theorem 16.90 Noether's first theorem, several independent variables ¶
    • depends_on theorem 16.93 Noether's second theorem ¶
      • depends_on example 16.109 The Einstein–Hilbert action ¶
      • depends_on theorem 44.19 Covariant conservation of stress–energy ¶
        • depends_on proposition 44.20 Perfect-fluid equations of motion ¶