remark 30.36 How the moduli are actually measured

Rests on

• depends_on equation 30.35 eq:elast-wave-speeds ¶
• depends_on proposition 30.33 Conversion among the moduli ¶
  • depends_on definition 30.31 The engineering moduli ¶
    • depends_on definition 30.20 Pressure and deviatoric stress ¶
      • depends_on proposition 30.19 The stress tensor is symmetric ¶
        • depends_on definition 30.17 Traction ¶
        • depends_on theorem 30.18 Cauchy: the stress tensor exists ¶
        • proves proof ch:13-continuum-elasticity@proof-8 ¶
      • depends_on theorem 5.79 Spectral theorem for a self-adjoint operator ¶
        • depends_on corollary 5.72 Existence of an eigenvalue over $\C$ ¶
        • depends_on definition 5.41 Adjoint ¶
        • depends_on theorem 5.40 Rank–nullity ¶
        • proves proof ch:03-linear-algebra-representations@proof-31 ¶
    • depends_on equation 30.21 eq:elast-hooke-isotropic ¶
  • depends_on phenomenon 30.32 Poisson contraction ¶
    • depends_on phenomenon 30.28 Hooke's law ¶
      • depends_on definition 30.24 The elasticity tensor ¶
        • depends_on definition 30.6 Linear strain and infinitesimal rotation ¶
        • depends_on theorem 30.18 Cauchy: the stress tensor exists ¶ ↺
      • depends_on lemma 30.26 Isotropic Cartesian tensors of rank four ¶
        • depends_on definition 13.5 Tensor under orthogonal transformations ¶
        • depends_on theorem 5.133 Isotropic Cartesian tensors of rank at most four ¶
        • proves proof ch:13-continuum-elasticity@prooflink-1 ¶
      • proves proof ch:13-continuum-elasticity@proof-12 ¶
    • depends_on proposition 30.30 Stability bounds ¶
      • depends_on equation 30.23 eq:elast-energy-density ¶
      • depends_on theorem 5.116 Sylvester's law of inertia ¶
        • depends_on definition 5.110 Bilinear map ¶
        • depends_on definition 5.111 Symmetric and antisymmetric forms ¶
        • depends_on equation 5.139 eq:lin-bilinear-congruence ¶
        • proves proof ch:03-linear-algebra-representations@proof-53 ¶
      • proves proof ch:13-continuum-elasticity@proof-13 ¶
    • proves proof ch:13-continuum-elasticity@proof-14 ¶
  • proves proof ch:13-continuum-elasticity@proof-15 ¶

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